Shu-Cherng Fang

Gao, R.-T., Fang, S.-C., Lu, C., & Xing, W.-X. (2022, January 28). A Polynomial-Time Algorithm with Tight Error Bounds for Single-Period Unit Commitment Problem. JOURNAL OF THE OPERATIONS RESEARCH SOCIETY OF CHINA, Vol. 1. https://doi.org/10.1007/s40305-021-00376-3

Zhang, Q., Wang, Z., Huang, M., Yu, Y., & Fang, S.-C. (2022). Heterogeneous multi-depot collaborative vehicle routing problem. TRANSPORTATION RESEARCH PART B-METHODOLOGICAL, 6. https://doi.org/10.1016/j.trb.2022.03.004

Fang, S.-C., Sheu, R.-L., & Tanaka, T. (2022, March). PREFACE. NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, Vol. 3. https://doi.org/10.3934/naco.2021058

Gao, X., Bai, Y., Fang, S.-cherng, Luo, J., & LI, Q. (2021, December). A NEW HYBRID l(p)-l(2) MODEL FOR SPARSE SOLUTIONS WITH APPLICATIONS TO IMAGE PROCESSING. JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, Vol. 12. https://doi.org/10.3934/jimo.2021211

Li, H.-L., Huang, Y.-H., Fang, S.-C., & Kuo, W. (2021). A Prime-Logarithmic Method for Optimal Reliability Design. IEEE Transactions on Reliability, 70(1), 146–162. https://doi.org/10.1109/TR.2020.3020597

Gao, Z., Fang, S.-C., Luo, J., & Medhin, N. (2021). A kernel-free double well potential support vector machine with applications. European Journal of Operational Research, 290(1), 248–262. https://doi.org/10.1016/j.ejor.2020.10.040

Gao, Z., Fang, S.-C., Gao, X., Luo, J., & Medhin, N. (2021). A novel kernel-free least squares twin support vector machine for fast and accurate multi-class classification. KNOWLEDGE-BASED SYSTEMS, 8. https://doi.org/10.1016/j.knosys.2021.107123

Luo, S., Ahiska, S. S., Fang, S.-C., King, R. E., Warsing, D. P., Jr., & Wu, S. (2021). An analysis of optimal ordering policies for a two-supplier system with disruption risk. Omega - The International Journal of Management Science, 12. https://doi.org/10.1016/j.omega.2021.102517

Zhou, J., Fang, S.-C., Jiang, S., & Ju, S. (2021). Optimal planar facility location with dense demands along a curve. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY. https://doi.org/10.1080/01605682.2021.1907237

Qian, X., Fang, S.-C., Yin, M., Huang, M., & Li, X. (2021). Selecting green third party logistics providers for a loss-averse fourth party logistics provider in a multiattribute reverse auction. Information Sciences, 548, 357–377. https://doi.org/10.1016/j.ins.2020.09.011

Zhao, L., You, J., & Fang, S.-C. (2020). A dual-channel supply chain problem with resource-utilization penalty: Who can benefit from sales effort? Journal of Industrial & Management Optimization. https://doi.org/10.3934/jimo.2020097

Jiang, S., Fang, S.-C., Nie, T., & Xing, W. (2020). A gradient descent based algorithm for ℓp minimization. European Journal of Operational Research, 283(1), 47–56. https://doi.org/10.1016/j.ejor.2019.11.051

Li, X., Huang, Y.-H., Fang, S.-C., & Zhang, Y. (2020). An alternative efficient representation for the project portfolio selection problem. European Journal of Operational Research, 281(1), 100–113. https://doi.org/10.1016/j.ejor.2019.08.022

Yao, M.-J., Lin, J.-Y., Lin, Y.-L., & Fang, S.-C. (2020). An integrated algorithm for solving multi-customer joint replenishment problem with districting consideration. Transportation Research Part E: Logistics and Transportation Review, 138, 101896. https://doi.org/10.1016/j.tre.2020.101896

Li, J., Guo, K., Viedma, E. H., Lee, H., Liu, J., Zhong, N., … Shi, Y. (2020). Culture versus Policy: More Global Collaboration to Effectively Combat COVID-19. The Innovation, 1(2), 100023. https://doi.org/10.1016/j.xinn.2020.100023

Xing, W., & Fang, S.-C. (2020). Introduction to Linear Conic Optimization. Beijing, China: Tsinghua University Press.

Wang, Z., Dai, Y., Fang, S. C., Jiang, Z. Z., & Xu, Y. (2020). Inventory transshipment game with limited supply: Trap or treat. Naval Research Logistics (NRL), 67(6), 383–403. https://doi.org/10.1002/nav.21925

Liu, J., Fang, S.-C., & Chen, H. (2020). Multiplicative data envelopment analysis cross-efficiency and stochastic weight space acceptability analysis for group decision making with interval multiplicative preference relations. Information Sciences, 514, 319–332. https://doi.org/10.1016/j.ins.2019.11.032

Jiang, S., Fang, S.-C., & Jin, Q. (2020). Sparse Solutions by a Quadratically Constrained ℓq (0 < q < 1) Minimization Model. INFORMS Journal on Computing, 9. https://doi.org/10.1287/ijoc.2020.1004

Jiang, S., Fang, S.-C., An, Q., & Lavery, J. E. (2019). A sub-one quasi-norm-based similarity measure for collaborative filtering in recommender systems. Information Sciences, 487, 142–155. https://doi.org/10.1016/j.ins.2019.03.011

Qian, X., Fang, S.-C., Huang, M., Nie, T., & Wang, X. (2019). Bidding Decisions with Nonequilibrium Strategic Thinking in Reverse Auctions. Group Decision and Negotiation, 28(4), 757–786. https://doi.org/10.1007/s10726-019-09624-7

Lu, C., Deng, Z., Fang, S.-C., Jin, Q., & Xing, W. (2019). Fast computation of global solutions to the single-period unit commitment problem. Journal of Combinatorial Optimization, 11. https://doi.org/10.1007/s10878-019-00489-9

Dai, J., Fang, S.-C., & Xing, W. (2019). Recovering optimal solutions via SOC-SDP relaxation of trust region subproblem with nonintersecting linear constraints. Journal of Industrial & Management Optimization, 15(4), 1677–1699. https://doi.org/10.3934/jimo.2018117

Luo, J., Hong, T., & Fang, S.-C. (2019). Robust Regression Models for Load Forecasting. IEEE Transactions on Smart Grid, 10(5), 5397–5404. https://doi.org/10.1109/TSG.2018.2881562

Qian, X., Fang, S.-C., Huang, M., & Wang, X. (2019). Winner determination of loss-averse buyers with incomplete information in multiattribute reverse auctions for clean energy device procurement. Energy, 177, 276–292. https://doi.org/10.1016/j.energy.2019.04.072

Deng, Z., Fang, S.-C., Lu, C., & Guo, X. (2018). A branch-and-cut algorithm using polar cuts for solving nonconvex quadratic programming problems. Optimization, 67(2), 359–375. https://doi.org/10.1080/02331934.2017.1391253

Yan, X., Bai, Y., Fang, S.-C., & Luo, J. (2018). A proximal quadratic surface support vector machine for semi-supervised binary classification. Soft Computing, 22(20), 6905–6919. https://doi.org/10.1007/s00500-017-2751-z

Lu, C., Deng, Z., Zhang, W.-Q., & Fang, S.-C. (2018). Argument division based branch-and-bound algorithm for unit-modulus constrained complex quadratic programming. Journal of Global Optimization, 70(1), 171–187. https://doi.org/10.1007/s10898-017-0551-8

Luo, J., Hong, T., & Fang, S.-C. (2018). Benchmarking robustness of load forecasting models under data integrity attacks. International Journal of Forecasting, 34(1), 89–104. https://doi.org/10.1016/J.IJFORECAST.2017.08.004

Zhang, J.-H., Fang, S.-C., & Xu, Y.-F. (2018). Core of the Reinsurance Market with Dependent Risks. Journal of the Operations Research Society of China, 6(1), 49–57. https://doi.org/10.1007/s40305-017-0173-3

An, Q., Fang, S.-C., Li, H.-L., & Nie, T. (2018). Enhanced linear reformulation for engineering optimization models with discrete and bounded continuous variables. Applied Mathematical Modelling, 58, 140–157. https://doi.org/10.1016/j.apm.2017.09.047

Qin, Z., Cao, B., Fang, S.-C., & Yang, X.-P. (2018). Geometric Programming with Discrete Variables Subject to Max-Product Fuzzy Relation Constraints. Discrete Dynamics in Nature and Society, 2018, 1–8. https://doi.org/10.1155/2018/1610349

Zhang, J., Fang, S.-C., & Xu, Y. (2018). Inventory centralization with risk-averse newsvendors. Annals of Operations Research, 268(1-2), 215–237. https://doi.org/10.1007/s10479-017-2578-0

An, Q., Fang, S.-C., Jiang, S., & Lavery, J. E. (2018). L1-norm based Major Component Detection and Analysis for Asymmetric Radial Data. International Journal of Operations Research, 15, 89–100. https://doi.org/10.6886/IJOR.201809_15(3).0001

Qian, X., Fang, S.-C., Huang, M., An, Q., & Wang, X. (2018). Reverse auctions with regret-anticipated bidders. Annals of Operations Research, 268(1-2), 293–313. https://doi.org/10.1007/s10479-017-2475-6

Jiang, S., Fang, S.-C., Nie, T., & An, Q. (2018). Structured linear reformulation of binary quadratically constrained quadratic programs. Optimization Letters, 11. https://doi.org/10.1007/S11590-018-1361-8

An, Q., Fang, S.-C., Nie, T., & Jiang, S. (2018). ℓ1-Norm Based Central Point Analysis for Asymmetric Radial Data. Annals of Data Science, 5(3), 469–486. https://doi.org/10.1007/S40745-018-0147-2

Zhang, J., Fang, S.-C., Xu, Y., & Wang, Z. (2017). A cooperative game with envy. Journal of Industrial & Management Optimization, 13(4), 2049–2066. https://doi.org/10.3934/jimo.2017031

Gajny, L., Gibaru, O., Nyiri, E., & Fang, S.-C. (2017). Best L1 approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces. Numerical Algorithms, 75(3), 827–843. https://doi.org/10.1007/s11075-016-0222-8

Zhou, J., Fang, S.-C., & Xing, W. (2017). Conic approximation to quadratic optimization with linear complementarity constraints. Computational Optimization and Applications, 66(1), 97–122. https://doi.org/10.1007/s10589-016-9855-8

Adıvar, M., & Fang, S.-C. (2017). Convex Analysis and Duality over Discrete Domains. Journal of the Operations Research Society of China, 6(2), 189–247. https://doi.org/10.1007/S40305-017-0158-2

Nie, T., Wang, Z., Fang, S.-C., & Lavery, J. E. (2017). Convex Shape Preservation of Cubic L1 Spline Fits. Annals of Data Science, 4(1), 123–147. https://doi.org/10.1007/S40745-016-0099-3

Fang, S.-C., Y. Gao, D., Lin, G.-X., Sheu, R.-L., & Xing, W. (2017). Double well potential function and its optimization in the N  -dimensional real space-part Ⅰ. Journal of Industrial & Management Optimization, 13(3), 1291–1305. https://doi.org/10.3934/jimo.2016073

Xia, Y., Sheu, R.-L., Fang, S.-C., & Xing, W. (2017). Double well potential function and its optimization in the N  -dimensional real space-part Ⅱ. Journal of Industrial & Management Optimization, 13(3), 1307–1328. https://doi.org/10.3934/jimo.2016074

Fang, S. C., Gao, D. Y., Lin, G. X., Sheu, R. L., & Xing, W. X. (2017). Double well potential function and its optimization in the N-dimensional real space - Part I. Journal of Industrial and Management Optimization, 13(3), 1291–1305.

Li, H.-L., Huang, Y.-H., & Fang, S.-C. (2017). Linear Reformulation of Polynomial Discrete Programming for Fast Computation. INFORMS Journal on Computing, 29(1), 108–122. https://doi.org/10.1287/ijoc.2016.0716

Zou, X., Fang, S.-C., Huang, Y. S., & Zhang, L. H. (2017). Mixed-integer linear programming approach for scheduling repetitive projects with time-cost trade-off consideration. Journal of Computing in Civil Engineering, 31(3). https://doi.org/10.1061/(asce)cp.1943-5487.0000641

Hsu, C.-C., Cho, H.-J., & Fang, S.-C. (2017). Solving routing and wavelength assignment problem with maximum edge-disjoint paths. Journal of Industrial & Management Optimization, 13(2), 1065–1084. https://doi.org/10.3934/jimo.2016062

Yan, X., Bai, Y., Fang, S.-C., & Luo, J. (2016). A kernel-free quadratic surface support vector machine for semi-supervised learning. Journal of the Operational Research Society, 67(7), 1001–1011. https://doi.org/10.1057/jors.2015.89

Li, H.-L., Fang, S.-C., Huang, Y.-H., & Nie, T. (2016). An enhanced logarithmic method for signomial programming with discrete variables. European Journal of Operational Research, 255(3), 922–934. https://doi.org/10.1016/j.ejor.2016.05.063

Li, X., Fang, S.-C., Guo, X., Deng, Z., & Qi, J. (2016). An extended model for project portfolio selection with project divisibility and interdependency. Journal of Systems Science and Systems Engineering, 25(1), 119–138. https://doi.org/10.1007/s11518-015-5281-1

Tian, Y., Fang, S.-C., Deng, Z. B., & Jin, Q. W. (2016). Cardinality constrained portfolio selection problem: A completely positive programming approach. Journal of Industrial and Management Optimization, 12(3), 1041–1056. https://doi.org/10.3934/jimo.2016.12.1041

Luo, J., Fang, S.-C., Bai, Y., & Deng, Z. (2016). Fuzzy quadratic surface support vector machine based on fisher discriminant analysis. Journal of Industrial and Management Optimization, 12(1), 357–373. https://doi.org/10.3934/jimo.2016.12.357

Nie, T., Fang, S.-C., Deng, Z., & Lavery, J. E. (2016). On linear conic relaxation of discrete quadratic programs. Optimization Methods and Software, 31(4), 737–754. https://doi.org/10.1080/10556788.2015.1134528

Li, X., Huang, Y.-H., Fang, S.-C., & Deng, Z. (2016). Reformulations for project portfolio selection problem considering interdependence and cardinality. Pacific Journal of Optimization, 12(2), 355–366.

Luo, J., Fang, S.-C., Deng, Z., & Guo, X. (2016). Soft Quadratic Surface Support Vector Machine for Binary Classification. Asia-Pacific Journal of Operational Research, 33(06), 1650046. https://doi.org/10.1142/s0217595916500469

Huang, M., Qian, X. H., Fang, S.-C., & Wang, X. W. (2016). Winner determination for risk aversion buyers in multi-attribute reverse auction. Omega, 59, 184–200. https://doi.org/10.1016/j.omega.2015.06.007

Xing, W. X., Fang, S.-C., Sheu, R. L., & Zhang, L. P. (2015). Canonical dual solutions to quadratic optimization over one quadratic constraint. Asia-Pacific Journal of Operational Research, 32(1). https://doi.org/10.1142/s0217595915400072

Deng, Z. B., Fang, S.-C., Jin, Q. W., & Lu, C. (2015). Conic approximation to nonconvex quadratic programming with convex quadratic constraints. Journal of Global Optimization, 61(3), 459–478. https://doi.org/10.1007/s10898-014-0195-x

Li, X. M., Fang, S.-C., Tian, Y., & Guo, X. L. (2015). Expanded model of the project portfolio selection problem with divisibility, time profile factors and cardinality constraints. Journal of the Operational Research Society, 66(7), 1132–1139. https://doi.org/10.1057/jors.2014.75

Wang, Z. T., Fang, S.-C., & Lavery, J. E. (2015). On shape-preserving capability of cubic L-1 spline fits. Computer Aided Geometric Design, 40, 59–75. https://doi.org/10.1016/j.cagd.2015.09.004

Hu, C. F., & Fang, S.-C. (2015). Set covering-based topsis method for sloving sup-T equation constrained multi-objective optimization problems. Journal of Systems Science and Systems Engineering, 24(3), 258–275. https://doi.org/10.1007/s11518-014-5261-x

Xu, L., Fang, S.-C., Lai, K. K., Qiao, H., & Wang, S. (2015). Transportation System and Trade Flows in Port Cities of China: A Random Coefficient Model. Journal of Systems Science and Information, 3(4), 289–300. https://doi.org/10.1515/jssi-2015-0289

Lu, C., Jin, Q. W., Fang, S.-C., Wang, Z. B., & Xing, W. X. (2014). Adaptive computable approximation to cones of nonnegative quadratic functions. Optimization, 63(6), 955–980. https://doi.org/10.1080/02331934.2014.895899

Wang, Z., Lavery, J., & Fang, S.-C. (2014). Approximation of Irregular Geometric Data by Locally Calculated Univariate Cubic L1 Spline Fits. Annals of Data Science, 1(1), 5–14. https://doi.org/10.1007/S40745-014-0002-Z

Zhou, J., Deng, Z. B., Fang, S. C., & Xing, W. X. (2014). Detection of a copositive matrix over a p-th order cone. Pacific Journal of Optimization, 10(3), 593–611.

Bai, Y. Q., Fang, S. C., Han, J. Y., & Xiu, N. H. (2014). In celebration of Professor Min-yi Yue's 95th birthday. Optimization, 63(6), 827–828.

Fang, S., Bai, Y., Fang, W., Han, J., & Xiu, N. (2014). In celebration of Professor Min-yi Yue’s 95th birthday. Optimization, 63(6), 827–828. https://doi.org/10.1080/02331934.2014.918768

Hu, C. F., Adivar, M., & Fang, S.-C. (2014). Non-L-R type fuzzy parameters in mathematical programming problems. IEEE Transactions on Fuzzy Systems, 22(5), 1062–1073. https://doi.org/10.1109/tfuzz.2013.2279691

Guo, X.-ling, Deng, Z.-bin, Fang, S.-C., Wang, Z.-bo, & Xing, W.-xun. (2014). Quadratic Optimization over a Second-Order Cone with Linear Equality Constraints. Journal of the Operations Research Society of China, 2(1), 17–38. https://doi.org/10.1007/S40305-013-0035-6

Guo, X. L., Deng, Z. B., Fang, S.-C., & Xing, W. X. (2014). Quadratic optimization over one first-order cone. Journal of Industrial and Management Optimization, 10(3), 945–963. https://doi.org/10.3934/jimo.2014.10.945

Yu, L., & Fang, S.-C. (2014). Refined EM Method for Solving Linearly Constrained Global Optimization Problems. In P. Pulat, S. Sarin, & R. Uzsoy (Eds.), Essays in Production, Project Planning and Scheduling (pp. 69–90). https://doi.org/10.1007/978-1-4614-9056-2_4

Hsu, C.-C., Cho, H.-J., & Fang, S.-C. (2014). Routing and Wavelength Assignment in Optical Networks from Maximum Edge-Disjoint Paths. In Advances in Intelligent Systems and Computing (pp. 95–103). https://doi.org/10.1007/978-3-319-01796-9_10

Jin, Q. W., Fang, S. C., Lu, C., & Xing, W. X. (2014). Solving conic quadratically constrained quadratic programming problems. Pacific Journal of Optimization, 10(3), 503–516.

Deng, Z., Lavery, J., Fang, S.-C., & Luo, J. (2014). ℓ1 Major Component Detection and Analysis (ℓ1 MCDA) in Three and Higher Dimensional Spaces. Algorithms, 7(3), 429–443. https://doi.org/10.3390/a7030429

Deng, Z. B., Bai, Y. Q., Fang, S.-C., Tian, Y., & Xing, W. X. (2013). A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework. Journal of Systems Science and Systems Engineering, 22(4), 385–400. https://doi.org/10.1007/s11518-013-5234-5

Li, H. L., Huang, Y. H., & Fang, S.-C. (2013). A logarithmic method for reducing binary variables and inequality constraints in solving task assignment problems. INFORMS Journal on Computing, 25(4), 643–653. https://doi.org/10.1287/ijoc.1120.0527

Zhang, L. P., Fang, S.-C., & Wu, S.-Y. (2013). An entropy based central cutting plane algorithm for convex min-max semi-infinite programming problems. Science China Mathematics, 56(1), 201–211. https://doi.org/10.1007/s11425-012-4502-z

Luo, J., Deng, Z., Bulatov, D., Lavery, J. E., & Fang, S.-C. (2013). Comparison of an ℓ1-regression-based and a RANSAC-based planar segmentation procedure for urban terrain data with many outliers. In L. Bruzzone (Ed.), Image and Signal Processing for Remote Sensing XIX (p. 889209). https://doi.org/10.1117/12.2028627

Tian, Y., Fang, S.-C., Deng, Z., & Xing, W. (2013). Computable representation of the cone of nonnegative quadratic forms over a general second-order cone and its application to completely positive programming. Journal of Industrial and Management Optimization, 9(3), 701–719. https://doi.org/10.3934/jimo.2013.9.701

Deng, Z., Fang, S.-C., Jin, Q., & Xing, W. (2013). Detecting copositivity of a symmetric matrix by an adaptive ellipsoid-based approximation scheme. European Journal of Operational Research, 229(1), 21–28. https://doi.org/10.1016/j.ejor.2013.02.031

Jin, Q., Tian, Y., Deng, Z., Fang, S.-C., & Xing, W. (2013). Exact Computable Representation of Some Second-Order Cone Constrained Quadratic Programming Problems. Journal of the Operations Research Society of China, 1(1), 107–134. https://doi.org/10.1007/S40305-013-0009-8

Fang, S.-C., & Xing, W. (2013). Linear Conic Optimization. Beijing, China: Science Press.

Wang, Z. T., Fang, S.-C., & Xing, W. X. (2013). On constraint qualifications: motivation, design and inter-relations. Journal of Industrial and Management Optimization, 9(4), 983–1001. https://doi.org/10.3934/jimo.2013.9.983

Chen, Y. C., Fang, S.-C., & Wen, U.-P. (2013). Pricing policies for substitutable products in a supply chain with Internet and traditional channels. European Journal of Operational Research, 224(3), 542–551. https://doi.org/10.1016/j.ejor.2012.09.003

Lertworasirikul, S., & Fang, S. C. (2013). Reallocation of Resources to Preserve Relative Efficiencies: Inverse CCR Model. In The 19th International Conference on Industrial Engineering and Engineering Management (pp. 497–508). https://doi.org/10.1007/978-3-642-37270-4_48

Jiang, Z. Z., Fang, S.-C., Fan, Z. P., & Wang, D. W. (2013). Selecting optimal selling format of a product in B2C online auctions with boundedly rational customers. European Journal of Operational Research, 226(1), 139–153. https://doi.org/10.1016/j.ejor.2012.10.003

Bai, Y. Q., Fang, S.-C., Fang, W. W., Han, J. Y., & Xiu, N. H. (2013). The Eighth Chinese Symposium on Mathematical Programming. In S.-C. Feng, Y. Bai, W. Fang, J. Han, & N. Xiu (Eds.), Optimization (Vol. 62, pp. 429–430). https://doi.org/10.1080/02331934.2013.795052

Xu, L. Z., Fang, S.-C., & Zhang, X. (2013). Transport costs and China's exports: Some empirical evidences. Journal of Systems Science & Complexity, 26(3), 365–382. https://doi.org/10.1007/s11424-013-1259-6

Tian, Y., Jin, Q., Lavery, J., & Fang, S.-C. (2013). ℓ1 Major Component Detection and Analysis (ℓ1 MCDA): Foundations in Two Dimensions. Algorithms, 6(1), 12–28. https://doi.org/10.3390/a6010012

Xing, W. X., Fang, S.-C., Sheu, R. L., & Wang, Z. T. (2012). A canonical dual approach for solving linearly constrained quadratic programs. European Journal of Operational Research, 218(1), 21–27. https://doi.org/10.1016/j.ejor.2011.09.015

Chao, C. W., Fang, S.-C., & Liao, C. J. (2012). A tropical cyclone-based method for global optimization. Journal of Industrial and Management Optimization, 8(1), 103–115. https://doi.org/10.3934/jimo.2012.8.103

Transport Costs, A., Exports, C., Xu, L. Z., & Wang, S. Y. (2012). Analysis on Transport Costs and China’s Exports. Systems Engineering Theory and Practice, 32(5), 1057–1067.

Wang, Z. B., Fang, S.-C., Gao, D. Y., & Xing, W. X. (2012). Canonical dual approach to solving the maximum cut problem. Journal of Global Optimization, 54(2), 341–351. https://doi.org/10.1007/s10898-012-9881-8

Adivar, M., & Fang, S.-C. (2012). Convex optimization on mixed domains. Journal of Industrial and Management Optimization, 8(1), 189–227. https://doi.org/10.3934/jimo.2012.8.189

Yuan, Y. B., Fang, S.-C., & Gao, D. Y. (2012). Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint. Journal of Global Optimization, 52(2), 195–209. https://doi.org/10.1007/s10898-011-9658-5

Wu, D. D., Fang, S.-C., Olson, D. L., & Birge, J. R. (2012). Introduction to the special issue on optimizing risk management in services. Optimization, 61(10), 1175–1177. https://doi.org/10.1080/02331934.2012.724795

Fang, S., Wu, D., Olson, D. L., & Birge, J. R. (Eds.). (2012). Optimizing Risk Management in Services. In Optimization (Vol. 61).

Fang, S.-C., Floudas, C. A., & Gao, D. Y. (2012). Preface. Journal of Global Optimization, 54(2), 219–220. https://doi.org/10.1007/S10898-012-9977-1

Hu, C. F., & Fang, S.-C. (2012). Randomly generating test problems for fuzzy relational equations. Fuzzy Optimization and Decision Making, 11(1), 1–28. https://doi.org/10.1007/s10700-011-9115-4

Floudas, A., Fang, S., & Gao, D. Y. (Eds.). (2012). The First World Congress on Global Optimization in Engineering and Science. In Journal of Global Optimization (Vol. 54).

Jin, Q. W., Yu, L., Lavery, J. E., & Fang, S.-C. (2012). Univariate cubic L-1 interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties. Computational Optimization and Applications, 51(2), 575–600. https://doi.org/10.1007/s10589-011-9426-y

Zhang, B., & Fang, S.-C. (2011). A selfish routing based network improvement problem. Journal of Systems Science and Complexity, 24(1), 68–78. https://doi.org/10.1007/s11424-011-8156-7

Lertworasirikul, S., Charnsethikul, P., & Fang, S.-C. (2011). Inverse data envelopment analysis model to preserve relative efficiency values: The case of variable returns to scale. Computers & Industrial Engineering, 61(4), 1017–1023. https://doi.org/10.1016/j.cie.2011.06.014

Lu, C., Fang, S.-C., Jin, Q. W., Wang, Z. B., & Xing, W. X. (2011). KKT solution and conic relaxation for solving quadratically constrained quadratic programming problems. SIAM Journal on Optimization, 21(4), 1475–1490. https://doi.org/10.1137/100793955

Li, P. K., & Fang, S.-C. (2011). On the unique solvability of fuzzy relational equations. Fuzzy Optimization and Decision Making, 10(2), 115–124. https://doi.org/10.1007/s10700-011-9100-y

Hu, C. F., & Fang, S.-C. (2011). Set covering-based surrogate approach for solving sup-T equation constrained optimization problems. Fuzzy Optimization and Decision Making, 10(2), 125–152. https://doi.org/10.1007/s10700-011-9099-0

Chen, T. L., Lin, J. T., & Fang, S.-C. (2010). A Shadow-price based heuristic for capacity planning of TFT-LCD manufacturing. Journal of Industrial and Management Optimization, 6(1), 209–239. https://doi.org/10.3934/jimo.2010.6.209

Li, P., & Fang, S.-C. (2010). Chebyshev Approximation of Inconsistent Fuzzy Relational Equations with Max-T Composition. In Studies in Fuzziness and Soft Computing: Vol. 254. Fuzzy Optimization (pp. 109–124). https://doi.org/10.1007/978-3-642-13935-2_5

Zhang, L., Wu, S.-Y., & Fang, S.-C. (2010). Convergence and error bound of a D-gap function based Newton-type algorithm for equilibrium
 problems. Journal of Industrial & Management Optimization, 6(2), 333–346. https://doi.org/10.3934/jimo.2010.6.333

Lu, C., Wang, Z. B., Xing, W. X., & Fang, S.-C. (2010). Extended canonical duality and conic programming for solving 0-1 quadratic programming problems. Journal of Industrial and Management Optimization, 6(4), 779–793. https://doi.org/10.3934/jimo.2010.6.779

Jin, Q. W., Fang, S.-C., & Xing, W. X. (2010). On the global optimality of generalized trust region subproblems. Optimization, 59(8), 1139–1151. https://doi.org/10.1080/02331930902995236

Wang, Z. B., Xing, W. X., & Fang, S.-C. (2010). Two-group knapsack game. Theoretical Computer Science, 411(7-9), 1094–1103. https://doi.org/10.1016/j.tcs.2009.12.002

Wang, Z. B., Xing, W. X., & Fang, S.-C. (2010). Two-person knapsack game. Journal of Industrial and Management Optimization, 6(4), 847–860. https://doi.org/10.3934/jimo.2010.6.847

Jin, Q., Lavery, J. E., & Fang, S.-C. (2010). Univariate Cubic L1 Interpolating Splines: Analytical Results for Linearity, Convexity and Oscillation on 5-Point Windows. Algorithms, 3(3), 276–293. https://doi.org/10.3390/a3030276

Yu, L., Jin, Q., Lavery, J. E., & Fang, S.-C. (2010). Univariate Cubic L1 Interpolating Splines: Spline Functional, Window Size and Analysis-based Algorithm. Algorithms, 3(3), 311–328. https://doi.org/10.3390/a3030311

Li, P., & Fang, S.-C. (2009). A note on solution sets of interval-valued fuzzy relational equations. Fuzzy Optimization and Decision Making, 8(1), 115–121. https://doi.org/10.1007/s10700-009-9055-4

Li, P., & Fang, S.-C. (2009). A survey on fuzzy relational equations, part I: classification and solvability. Fuzzy Optimization and Decision Making, 8(2), 179–229. https://doi.org/10.1007/S10700-009-9059-0

Fang, S.-C., Gao, D. Y., Sheu, R. L., & Xing, W. X. (2009). Global optimization for a class of fractional programming problems. Journal of Global Optimization, 45(3), 337–353. https://doi.org/10.1007/s10898-008-9378-7

Li, P., & Fang, S.-C. (2009). Latticized Linear Optimization on the Unit Interval. IEEE Transactions on Fuzzy Systems, 17(6), 1353–1365. https://doi.org/10.1109/tfuzz.2009.2031561

Li, P. K., & Fang, S.-C. (2009). Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm. Journal of Systems Science & Complexity, 22(1), 49–62. https://doi.org/10.1007/s11424-009-9146-x

Averbakh, I., Fang, S. C., & Zhao, Y. B. (2009). Robust univariate cubic L-2 spines: Interpolating data with uncertain positions of measurements. Journal of Industrial and Management Optimization, 5(2), 351–361.

Zhang, L. S., Fang, S. C., & Wang, Y. (2008). A new tunnel function method for global optimization. Pacific Journal of Optimization, 4(1), 125–138.

Chiu, N. C., Fang, S.-C., Lavery, J. E., Lin, J. Y., & Wang, Y. (2008). Approximating term structure of interest rates using cubic L-1 splines. European Journal of Operational Research, 184(3), 990–1004. https://doi.org/10.1016/j.ejor.2006.12.008

Fang, S. C., Gao, D. Y., Sheu, R. L., & Wu, S. Y. (2008). Canonical dual approach to solving 0-1 quadratic programming problems. Journal of Industrial and Management Optimization, 4(1), 124–142.

Fang, S.-C., Y. Gao, D., Sheu, R.-L., & Wu, S.-Y. (2008). Canonical dual approach to solving 0-1 quadratic programming problems. Journal of Industrial & Management Optimization, 4(1), 125–142. https://doi.org/10.3934/jimo.2008.4.125

Zhao, Y. B., Fang, S.-C., & Lavery, J. E. (2008). Geometric dual formulation for first-derivative-based univariate cubic L-1 splines. Journal of Global Optimization, 40(4), 589–621. https://doi.org/10.1007/s10898-006-9124-y

Wang, Z. B., Fang, S. C., Gao, D. Y., & Xing, W. X. (2008). Global extremal conditions for multi-integer quadratic programming. Journal of Industrial and Management Optimization, 4(2), 213–225.

Li, P., Zhang, X., & Fang, S. (2008). Nonlinear Optimization Subject to A System of Fuzzy Relational Equations with Max-min Composition. Proceedings of 7th International Symposium on Operations Research and Its Applications (ISORA), 1–9.

Li, P., & Fang, S.-C. (2008). On the resolution and optimization of a system of fuzzy relational equations with sup-T composition. Fuzzy Optimization and Decision Making, Vol. 7, pp. 169–214. https://doi.org/10.1007/s10700-008-9029-y

Dai, Y., Fang, S.-C., Ling, X. L., & Nuttle, H. L. W. (2008). Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand. Mathematical Methods of Operations Research, 67(3), 391–421. https://doi.org/10.1007/s00186-007-0203-8

Wang, Y., Fang, S.-C., & Lavery, J. E. (2007). A compressed primal-dual method for generating bivariate. cubic L-1 splines. Journal of Computational and Applied Mathematics, 201(1), 69–87. https://doi.org/10.1016/j.cam.2006.02.005

Peker, A. S., Lavery, J. E., & Fang, S.-C. (2007). A reduced Hsieh-Clough-Tocher element with splitting based on an arbitrary interior point. Journal of Mathematical Analysis and Applications, 333(1), 500–504. https://doi.org/10.1016/j.jmaa.2006.12.030

Lin, Y. M., Fang, S.-C., & Thorne, J. L. (2007). A tabu search algorithm for maximum parsimony phylogeny inference. European Journal of Operational Research, 176(3), 1908–1917. https://doi.org/10.1016/j.ejor.2005.10.031

Xu, Y., Fang, S., & Feng, Y. (2007). Analysis of Network Revenue Management under Uncertainty. Nonlinear Dynamics and Systems Theory, 7(1), 85–96.

Wang, S., Fang, S. C., & Nuttle, H. L. W. (2007). Fuzzy optimization and decision making (vol 2, pg 41, 2003). Fuzzy Optimization and Decision Making, Vol. 6, pp. 297–297.

Wang, S., Fang, S. C., & Nuttle, H. L. W. (2007). Fuzzy optimization and decision making (vol 4, pg 331, 2005). Fuzzy Optimization and Decision Making, Vol. 6, pp. 297–297.

Fang, S.-C., Wu, S., & Birbil, S. I. (2007). Solving variational inequalities defined on a domain with infinitely many linear constraints. Computational Optimization and Applications, 37(1), 67–81. https://doi.org/10.1007/s10589-007-9013-4

Dai, Y., Chao, X., Fang, S. C., & Nuttle, H. L. W. (2006). Capacity Allocation and Inventory Policy in a Distribution System. Asia-Pacific Journal of Operational Research, 23(04), 543–571. https://doi.org/10.1142/s0217595906001054

Dai, Y., Chao, X. L., Fang, S.-C., & Nuttle, H. L. W. (2006). Capacity allocation with traditional and Internet channels. Naval Research Logistics, 53(8), 772–787. https://doi.org/10.1002/nav.20168

Fang, S., Lin, Y.-M., Zhang, Y., & Lavery, J. E. (2006). Computationally Efficient Models of Urban and Natural Terrain by Non-iterative Domain Decomposition for L1 Smoothing Splines. Proceedings of the 25th Army Science Conference. Presented at the 25th Army Science Conference.

Zhao, Y. B., Fang, S.-C., & Li, D. (2006). Constructing generalized mean functions using convex functions with regularity conditions. SIAM Journal on Optimization, 17(1), 37–51. https://doi.org/10.1137/040603838

Zhang, W., Fang, S., Wang, Y., & Lavery, J. E. (2006). Cubic L1 Splines on Triangulated Irregular Networks. Pacific Journal of Optimization, 2(2), 289–317.

Wang, Y., & Fang, S. C. (2005). A  geometric programming approach for bivariate cubic L-1 splines. Computers & Mathematics With Applications, 49(4), 481–514.

Fang, S.-C., Wang, Y., & Zhong, J. (2005). A Genetic Algorithm Approach to Solving DNA Fragment Assembly Problem. Journal of Computational and Theoretical Nanoscience, 2(4), 499–505. https://doi.org/10.1166/jctn.2005.2974

Fang, S., Cheng, H., & Lavery, J. E. (2005). A Geometric Programming Framework for Univariate Cubic L 1 Smoothing Splines. Annals of Operations Research, 133(03-Jan), 229–248. https://doi.org/10.1007/s10479-004-5035-9

Lertworasirikul, S., & Fang, S. (2005). A Possibility Approach to Fuzzy Linear Programming. Proceedings of the 11th IFSA World Congress, 147–151.

Wang, Y., Fang, S.-C., Lavery, J. E., & Cheng, H. (2005). A geometric programming approach for bivariate cubic L1 splines. Computers & Mathematics with Applications, 49(4), 481–514. https://doi.org/10.1016/j.camwa.2004.11.003

Dai, Y., Chao, X. L., Fang, S.-C., & Nuttle, H. L. W. (2005). Game theoretic analysis of a distribution system with customer market search. Annals of Operations Research, 135(1), 223–238. https://doi.org/10.1007/s10479-005-6243-7

Fang, S.-C., Qi, H., & Zhao, Y. (Eds.). (2005). Industrial and Management Applications. In Journal of Industrial and Management Optimization (Vol. 1).

Fang, S., Qi, H., & Zhao, Y. (Eds.). (2005). Mathematical Programming. In Journal of Industrial and Management Optimization (Vol. 1).

Fang, S.-C., Han, J., Huang, Z.-H., & Bİrbİl, Ş. İ. (2005). On the Finite Termination of an Entropy Function Based Non-Interior Continuation Method for Vertical Linear Complementarity Problems. Journal of Global Optimization, 33(3), 369–391. https://doi.org/10.1007/s10898-004-6098-5

Ling, X., Fang, S., Chao, X., & Nuttle, H. L. W. (2005). Pooled versus Reserved Inventory in a Two-echelon Supply Chain. International Journal of Operations Research, 2(1), 59–76.

Dai, Y., Chao, X., Fang, S.-C., & Nuttle, H. L. W. (2005). Pricing in revenue management for multiple firms competing for customers. International Journal of Production Economics, 98(1), 1–16. https://doi.org/10.1016/j.ijpe.2004.06.056

Cheng, H., Fang, S.-C., & Lavery, J. E. (2005). Shape-preserving properties of univariate cubic L-1 splines. Journal of Computational and Applied Mathematics, 174(2), 361–382. https://doi.org/10.1016/j.cam.2004.05.003

Wang, S., Fang, S.-cherng, & Nuttle, H. L. W. (2005). Solution Sets of Interval-Valued Min-S-Norm Fuzzy Relational Equations. Fuzzy Optimization and Decision Making, 4(4), 331–349. https://doi.org/10.1007/s10700-005-3667-0

Wang, D., Fang, S., & Nuttle, H. L. W. (2005). Survey on E-Commerce Modeling and Optimization Strategies. Journal of Tsinghua Science and Technology, 10(S1), 761–771.

Liao, Y., Fang, S.-C., & L.W. Nuttle, H. (2004). A neural network model with bounded-weights for pattern classification. Computers & Operations Research, 31(9), 1411–1426. https://doi.org/10.1016/S0305-0548(03)00097-2

Cheng, H., Fang, S.-C., & Lavery, J. E. (2004). An  efficient algorithm for generating univariate cubic L-1 splines. Computational Optimization and Applications, 29(2), 219–253. https://doi.org/10.1023/B:COAP.0000042031.03626.1b

Birbil, S. I., Fang, S.-C., & Han, J. Y. (2004). An  entropic regularization approach for mathematical programs with equilibrium constraints. Computers & Operations Research, 31(13), 2249–2262. https://doi.org/10.1016/S0305-0548(03)00176-X

Fang, S.-C., Wu, S. Y., & Sun, J. (2004). An analytic center cutting plane method for solving semi-infinite variational inequality problems. Journal of Global Optimization, 28(2), 141–152. https://doi.org/10.1023/B:JOGO.0000015308.49676.ea

Fang, S.-C., Nuttle, H. W. L., & Wang, D. W. (2004). Fuzzy formulation of auctions and optimal sequencing for multiple auctions. Fuzzy Sets and Systems, 142(3), 421–441. https://doi.org/10.1016/S0165-0114(03)00127-1

Fang, S., & Lavery, J. E. (2004). Heavy-tailed Non-Gaussian Nature of Terrain and Its Implications for Terrain Modeling by L1 Splines, with J. Proceedings of the 24th Army Science Conference CP-1. Presented at the 24th Army Science Conference.

Birbil, S. I., Fang, S.-C., & Sheu, R. L. (2004). On the convergence of a population-based global optimization algorithm. Journal of Global Optimization, 30(03-Feb), 301–318. https://doi.org/10.1007/s10898-004-8270-3

Wu, S., & Fang, S. (Eds.). (2004). Optimization and Optimal Control (ICOOC). In Journal of Global Optimization (Vol. 30).

Birbil, S. I., Fang, S.-C., Frenk, J. B. G., & Zhang, S. (2004). Recursive approximation of the high dimensional max function. Operations Research Letters, 33(5), 450–458. https://doi.org/10.1016/j.orl.2004.11.004

Han, J., Huang, Z. H., & Fang, S.-C. (2004). Solvability of variational inequality problems. Journal of Optimization Theory and Applications, 122(3), 501–520. https://doi.org/10.1023/B:JOTA.0000042593.74934.b7

Wu, S. Y., & Fang, S. C. (2004). Special issue on the International Conference on Optimization and Optimal Control (ICOOC), June 1-4, 2001 - Foreword. Journal of Global Optimization, 30(03-Feb), 119–120.

Medaglia, A. L., & Fang, S.-C. (2003). A genetic-based framework for solving (multi-criteria) weighted matching problems. European Journal of Operational Research, 149(1), 77–101. https://doi.org/10.1016/S0377-2217(02)00484-8

Hung, T.-W., Fang, S.-C., & Nuttle, H. L. W. (2003). A two-phase approach to fuzzy system identification. Journal of Systems Science and Systems Engineering, 12(4), 408–423. https://doi.org/10.1007/s11518-006-0144-4

Wu, P., Fang, S. C., & Nuttle, H. L. W. (2003). An  enhanced neural network learning using a self-tuning fuzzy neuron controller. Journal of Intelligent & Fuzzy Systems, 14(2), 109–118.

Birbil, S. I., & Fang, S.-C. (2003). An electromagnetism-like mechanism for global optimization. Journal of Global Optimization, 25(3), 263–282. https://doi.org/10.1023/A:1022452626305

Fang, S., Wu, P., & Nuttle, H. L. W. (2003). Enhanced Neural Network Learning Using A Fuzzy Neuron Controller. Journal of Intelligent and Fuzzy Systems, 14(2), 109–118.

Lertworasirikul, S., Fang, S.-C., Nuttle, H. L. W., & Joines, J. A. (2003). Fuzzy BCC Model for Data Envelopment Analysis. Fuzzy Optimization and Decision Making, 2(4), 337–358. https://doi.org/10.1023/b:fodm.0000003953.39947.b4

Lertworasirikul, S., Fang, S.-C., Joines, J. A., & Nuttle, H. L. W. (2003). Fuzzy Data Envelopment Analysis: A Credibility Approach. In J. L. Verdegay (Ed.), Fuzzy Sets Based Heuristics for Optimization (pp. 141–158). https://doi.org/10.1007/978-3-540-36461-0_10

Lertworasirikul, S., Fang, S. C., Joines, J. A., & Nuttle, H. L. W. (2003). Fuzzy data envelopment analysis (DEA): a possibility approach. Fuzzy Sets and Systems, 139(2), 379–394. https://doi.org/10.1016/S0165-0114(02)00484-0

Fang, S.-C., & Qi, L. Q. (2003). Manufacturing network flows: A generalized network flow model for manufacturing process modelling. Optimization Methods & Software, 18(2), 143–165. https://doi.org/10.1080/1055678031000152079

Fang, S., & Li, G. (2003). On the Resolution of Finite Fuzzy Relation Equations. International Mathematical Journal, 3, 59–72.

Liao, Y., Fang, S.-C., & Nuttle, H. L. W. (2003). Relaxed conditions for radial-basis function networks to be universal approximators. Neural Networks, 16(7), 1019–1028. https://doi.org/10.1016/S0893-6080(02)00227-7

Fang, S., Nuttle, H. L. W., King, R. E., & Wilson, J. R. (2003). Soft Computing for Softgoods Supply Chain Analysis and Decision Support. In Studies in Fuzziness and Soft Computing: Vol. 108. Soft Computing in Textile Sciences (pp. 1–15). https://doi.org/10.1007/978-3-7908-1750-8_1

Wang, S., Fang, S.-C., & Nuttle, H. L. W. (2003). Solution Sets of Interval-Valued Fuzzy Relational Equations. Fuzzy Optimization and Decision Making, 2(1), 41–60. https://doi.org/10.1023/a:1022800330844

Fang, S. C., Lee, D. N., & Tsao, H.-S. J. (2002). A Bayesian analysis of entropy optimization for uncertainty modeling. 1993 (2nd) International Symposium on Uncertainty Modeling and Analysis. Presented at the 1993 (2nd) International Symposium on Uncertainty Modeling and Analysis, College Park, MD. https://doi.org/10.1109/isuma.1993.366737

Medaglia, A. L., Fang, S.-C., Nuttle, H. L. W., & Wilson, J. R. (2002). An efficient and flexible mechanism for constructing membership functions. European Journal of Operational Research, 139(1), 84–95. https://doi.org/10.1016/S0377-2217(01)00157-6

Wu, P., Fang, S.-C., Nuttle, H. L. W., King, R. E., & Wilson, J. R. (2002). Decision surface modeling of textile spinning operations using neural network technology. Proceedings of 1994 IEEE/IAS Annual Textile, Fiber and Film Industry Technical Conference. Presented at the 1994 IEEE/IAS Annual Textile, Fiber and Film Industry Technical Conference, Greenville, SC. https://doi.org/10.1109/texcon.1994.320735

Wu, P. S., Fang, S.-C., & Nuttle, H. L. W. (2002). Efficient neural network learning using second order information with fuzzy control. Neurocomputing, 43(2002 Mar), 197–217. https://doi.org/10.1016/S0925-2312(01)00336-8

Chen, S.-H., Fang, S.-C., & Tsao, H.-S. J. (2002). Entropic perturbation method for solving a system of linear inequalities. Journal of Computational and Applied Mathematics, 145(1), 133–149. https://doi.org/10.1016/S0377-0427(01)00540-4

Lertworasirikul, S., Fang, S., Nuttle, H. L. W., & Joines, J. A. (2002). Fuzzy Data Envelopment Analysis. Proceedings of the 9th Bellman Continuum, 342–353.

Medaglia, A. L., Fang, S.-C., & Nuttle, H. L. W. (2002). Fuzzy controlled simulation optimization. Fuzzy Sets and Systems, 127(1), 65–84. https://doi.org/10.1016/S0165-0114(01)00153-1

Fang, S., & Nuttle, H. L. W. (2002). Message from the Editors. Fuzzy Optimization and Decision Making, 1, 5–9. https://doi.org/10.1023/A:1013741321827

Loetamonphong, H., Fang, S.-C., & Young, R. E. (2002). Multi-objective optimization problems with fuzzy relation equation constraints. Fuzzy Sets and Systems, 127(2), 141–164. https://doi.org/10.1016/S0165-0114(01)00052-5

Birbil, I., & Fang, S. (2002). On the Multipoint Stochastic Search Method for Global Optimization. Proceedings of ISORA02. Presented at the ISORA02.

Fang, S., & Elmaghraby, S. E. (2002). Operations Research. In R. A. Meyers (Ed.), Encyclopedia of Physical Science and Technology (3rd ed., Vol. 11, pp. 193–218). San Diego, CA: Academic Press, Inc.

Fang, S.-C., & Hu, C.-F. (2002). Solving Fuzzy Variational Inequalities. Fuzzy Optimization and Decision Making, 1(1), 113–133. https://doi.org/10.1023/a:1013736011349

Fang, S., Wang, S., & Nuttle, H. L. W. (2002). Tolerable Solution Sets on Interval-Valued Fuzzy Relation Equations, with S. Wang and H.L.W. Proceedings of the 6th Joint Conference on Information Science, 74–77.

Cheng, H., Fang, S. C., & Lavery, J. E. (2002). Univariate cubic L-1 splines - A geometric programming approach. Mathematical Methods of Operations Research, 56(2), 197–229. https://doi.org/10.1007/s001860200216

Wu, S.-Y., Fang, S.-C., & Lin, C.-J. (2001). Analytic Center Based Cutting Plane Method for Linear Semi-Infinite Programming. In M. A. Goberna & M. A. Lopez (Eds.), Semi-Infinite Programming. Nonconvex Optimization and Its Applications (pp. 221–233). https://doi.org/10.1007/978-1-4757-3403-4_10

Fang, S., & Tsao, H.-S. J. (2001). Entropy Optimization: Shannon Measure of entropy and its properties. In Encyclopedia of Optimization (Vol. 2, pp. 12–18). https://doi.org/10.1007/0-306-48332-7_119

Fang, S.-C., & Tsao, H. S. J. (2001). Entropy optimization: Interior-point methods. In Encyclopedia of optimization / [editors, C.A. Floudas and P.M. Pardalos]. Dordrecht: London: Kluwer Academic, c2001. https://doi.org/10.1007/978-0-387-74759-0_159

Fang, S. C., & Tsao, H. S. J. (2001). Entropy optimization: Measures and properties. In Encyclopedia of optimization / [editors, C.A. Floudas and P.M. Pardalos]. Dordrecht: London: Kluwer Academic.

Fang, S., & Scott, C. (Eds.). (2001). Geometric Programming. In Annals of Operations Research (Vol. 105).

Fang, S., & Tsao, H.-S. J. (2001). Maximum Entropy Principle: Image Reconstruction. In Encyclopedia of Optimization (Vol. 3, pp. 245–249). https://doi.org/10.1007/0-306-48332-7_274

Fang, S. C., & Tsao, H. S. (2001). Minimum entropy principle: Image reconstruction. In Encyclopedia of optimization / [editors, C.A. Floudas and P.M. Pardalos]. Dordrecht: London: Kluwer Academic, c2001. Dordrecht: London: Kluwer Academic.

Fang, S. (2001). On Fuzzy Sets, Habitual Domains, Variational Inequalities, and Optimization [R.J. Reynolds Lecture Notes, Engineering Publications]. Raleigh, NC: NC State University.

Fang, S. C., Lee, Y.-S., & Chiu, N. (2001). Optimal Planning and Sequencing of Parallel Machining Operations. In Handbook of Computational Intelligence in Design and Manufacturing (pp. 8–1-8–13). Boca Raton, FL: CRC Press.

Loetamonphong, J., & Fang, S.-C. (2001). Optimization of fuzzy relation equations with max-product composition. Fuzzy Sets and Systems, 118(3), 509–517. https://doi.org/10.1016/S0165-0114(98)00417-5

Wu, S. Y., Fang, S.-C., & Lin, C. J. (2001). Solving general capacity problem by relaxed cutting plane approach. Annals of Operations Research, 103(2001), 193–211. https://doi.org/10.1023/A:1012907206299

Lu, J. J., & Fang, S.-C. (2001). Solving nonlinear optimization problems with fuzzy relation equation constraints. Fuzzy Sets and Systems, 119(1), 1–20. https://doi.org/10.1016/S0165-0114(98)00471-0

Fang, S.-C., Lin, C. J., & Wu, S. Y. (2001). Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme. Journal of Computational and Applied Mathematics, 129(1-2), 89–104. https://doi.org/10.1016/S0377-0427(00)00544-6

Scott, C., & Fang, S. C. (2001). Untitled - Foreword. Annals of Operations Research, 105(2001), 13–14.

Fang, S., Nuttle, H. L. W., & Hung, T.-W. (2000). A Bi-Objective Fuzzy c-Mean Cluster Analysis Approach to Fuzzy System Identification. Proceedings of the 8th Bellman Continuum, 165–169.

Fang, S., & Wang, D. –W. (2000). A Genetic Algorithm to Solve Nonbipartite Matching Problems, with D. Proceedings of the 2nd Asia Pacific Conference on Genetic Algorithms and Applications, 194–203.

Birbil, S. I., & Fang, S. (2000). A New Heuristic for Global Optimization. In I. Birbil (Ed.), Proceedings of the 8th Bellman Continuum (pp. 352–357).

Wang, D., Fang, S.-C., & Nuttle, H. L. W. (2000). Fuzzy rule quantification and its applications in manufacturing systems. Journal of the Chinese Institute of Industrial Engineers, 17(5), 505–516. https://doi.org/10.1080/10170669.2000.10432871

Chen, Y.-H., & Fang, S.-C. (2000). Neurocomputing with time delay analysis for solving convex quadratic programming problems. IEEE Transactions on Neural Networks, 11(1), 230–240. https://doi.org/10.1109/72.822526

Fang, S.-C., Chiu, N. C., & Lee, Y. S. (2000). Optimal planning of parallel machining operation. In Handbook of computational intelligence in design and manufacturing. CRC Press.

Fang, S., Chiu, N.-C., & Lee, Y.-S. (2000). Sequencing Parallel Machining Operations by Tabu Search. Proceedings of the 8th Bellman Continuum, 175–179.

Nuttle, H. L. W., King, R., Hunter, N. A., Wilson, J. R., & Fang, S.-C. (2000). Simulation Modeling of the textile supply chain - Part 1: The textile-plant models. Journal of the Textile Institute, 91(1), 35–50. https://doi.org/10.1080/00405000008659526

Nuttle, H. L. W., King, R., Fang, S.-C., Wilson, J. R., & Hunter, N. A. (2000). Simulation Modeling of the textile supply chain - Part II: Results and research directions. Journal of the Textile Institute, 91(1), 51–64. https://doi.org/10.1080/00405000008659527

Fang, S., & Lee, C. –Y. (Eds.). (2000). Softcomputing for Industrial Engineering. In Journal of Chinese Institute of Industrial Engineers (Vol. 17).

Hu, C. F., & Fang, S. (2000). Solving Variational Inequalities over a Fuzzy Domain. Proceedings of the 8th Bellman Continuum, 55–59.

Hu, C.-F., & Fang, S.-C. (2000). Solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions. Computers & Mathematics With Applications, 40(6-7), 721–733. https://doi.org/10.1016/S0898-1221(00)00191-7

Fang, S.-C., Hung, T.-W., & Nuttle, H. (1999). A clustering-based approach to fuzzy systems identification. Proceedings of the 8th International Fuzzy Systems Association World Congress, August 1999, (1999 Aug.). Piscataway, N.J.: IEEE.

Fang, S.-C., Chen, S.-H., Wu, P.-T., Huang, M., & Nuttle, H. (1999). A fuzzy expert system for a wave soldering process. Proceedings of the 8th International Fuzzy Systems Association World Congress. August 1999, (1999 Aug.). Piscataway, N.J.: IEEE.

Fang, S.-C., Wang, D.-W., Chen, S.-H., & Nuttle, H. (1999). A new fuzzy due-date bargainer with soft computing. Proceedings of the 8th International Fuzzy Systems Association World Congress. August 1999, (1999 Aug.). Piscataway, N.J.: IEEE.

Hu, C.-F., & Fang, S.-C. (1999). A relaxed cutting plane algorithm for solving fuzzy inequality systems. Optimization, 45(1-4), 89–106. https://doi.org/10.1080/02331939908844428

Fang, S.-C., Hung, T.-W., & Nuttle, H. (1999). An easily implemented approach to fuzzy systems identification. In T. S. R. N. Dave (Ed.), 18th International Conference of the North American Fuzzy Information Processing Society--NAFIPS: June 10-12, 1999, New York, N.Y., U.S.A. New York, N.Y.; Piscataway, N.J.: IEEE.

Loetamonphong, J., & Fang, S.-C. (1999). An efficient solution procedure for fuzzy relation equations with max-product composition. IEEE Transactions on Fuzzy Systems, 7(4), 441–445. https://doi.org/10.1109/91.784204

Fang, S.-C., Wu, P.-T., & Nuttle, H. (1999). Curved search based neural network learning using fuzzy control. Proceedings of the 8th International Fuzzy Systems Association World Congress. August 1999, (1999 Aug.). Piscataway, N.J.: IEEE.

Fang, S.-C., Wang, D.-W., & Nuttle, H. (1999). Fuzzy rule quantification and its application in fuzzy due-date bargaining. Proceedings of the 8th International Fuzzy Systems Association World Congress. August 1999, (1999 Aug.). Piscataway, N.J.: IEEE.

Fang, S.-C., Hu, C. F., Wang, H. F., & Wu, S. Y. (1999). Linear programming with fuzzy coefficients in constraints. Computers & Mathematics With Applications, 37(10), 63–76. https://doi.org/10.1016/S0898-1221(99)00126-1

Chiu, N. C., Fang, S.-C., & Lee, Y. S. (1999). Sequencing parallel machining operations by genetic algorithms. Computers & Industrial Engineering, 36(2), 259–280. https://doi.org/10.1016/S0360-8352(99)00132-1

Wang, D. W., Fang, S.-C., & Nuttle, H. L. W. (1999). Soft computing for multicustomer due-date bargaining. IEEE Transactions on Systems, Man, and Cybernetics. Part C, Applications and Reviews, 29(4), 566–575. https://doi.org/10.1109/5326.798770

Wu, S. Y., & Fang, S.-C. (1999). Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method. Computers & Mathematics With Applications, 38(3-4), 23–33. https://doi.org/10.1016/S0898-1221(99)00203-5

Hu, C.-F., & Fang, S.-C. (1999). Solving fuzzy inequalities with piecewise linear membership functions. IEEE Transactions on Fuzzy Systems, 7(2), 230–235. https://doi.org/10.1109/91.755403

Fang, S.-C., & Li, G. Z. (1999). Solving fuzzy relation equations with a linear objective function. Fuzzy Sets and Systems, 103(1), 107–113. https://doi.org/10.1016/S0165-0114(97)00184-X

Wang, D. W., Fang, S.-C., & Hodgson, T. (1998). A fuzzy due-date bargainer for the make-to-order manufacturing systems. IEEE Transactions on Systems, Man, and Cybernetics. Part C, Applications and Reviews, 28(3), 492–497. https://doi.org/10.1109/5326.704596

Guan, S. H., & Fang, S.-C. (1998). A global-filtering algorithm for linear programming problems with stochastic elements. Mathematical Methods of Operations Research, 48(3), 287–316. https://doi.org/10.1007/s001860050029

Lin, C. J., Fang, S.-C., & Wu, S. Y. (1998). An unconstrained convex programming approach to linear semi infinite programming. SIAM Journal on Optimization, 8(2), 443–456. https://doi.org/10.1137/S105262349427621X

Fang, S.-C., Donovan, M., Nuttle, H., & Wilson, J. (1998). Multi-customer due-date bargaining with soft computing. Proceedings of the Fourth Joint Conference of Information Sciences. 1998, 2(1998), 84–87.

Nuttle, H. L. W., Fang, S.-C., Wang, D.-W., & Donovan, M. (1998). Multicustomer Due-Date Bargainer [Software]. Raleigh, NC: North Carolina State University.

Fang, S.-C., Chiu, N. C., & Lee, Y. S. (1998). Operation scheduling of mill/turn machining centers with genetic algorithms. Proceedings of the Fourth Joint Conference of Information Sciences. 1998, 2(1998), 437–440.

Chen, Y. H., Lee, Y. S., & Fang, S.-C. (1998). Optimal cutter selection and machining plane determination for process planning and NC machining of complex surfaces. Journal of Manufacturing Systems, 17(5), 371–388. https://doi.org/10.1016/S0278-6125(98)80004-6

Fang, S. C., & Kao, C. (1998). Quantitative management techniques and application in Taiwan. International Journal of Operations and Quantitative Management, 4(3).

Wu, S. Y., Fang, S.-C., & Lin, C. J. (1998). Relaxed cutting plane method for solving linear semi-infinite programming problems. Journal of Optimization Theory and Applications, 99(3), 759–779. https://doi.org/10.1023/A:1021763419562

Chen, Y. H., & Fang, S.-C. (1998). Solving convex programming problems with equality constraints by neural networks. Computers & Mathematics With Applications, 36(7), 41–68. https://doi.org/10.1016/S0898-1221(98)00172-2

Hu, C.-F., & Fang, S.-C. (1998). Solving fuzzy inequalities with concave membership functions. Fuzzy Sets and Systems, 99(2), 233–240. https://doi.org/10.1016/S0165-0114(97)00013-4

Li, G. Z., & Fang, S.-C. (1998). Solving interval-valued fuzzy relation equations. IEEE Transactions on Fuzzy Systems, 6(2), 321–324. https://doi.org/10.1109/91.669033

Lu, J.-J., Brinkley, P., & Fang, S.-C. (1997). A fuzzy expert system model for RF receiver module testing. International Journal of Systems Science, 28(8), 791–798. https://doi.org/10.1080/00207729708929439

Fang, S.-C., Chen, T.-W., Nuttle, H. L. W., & King, R. E. (1997). A fuzzy-control-based quick response reorder scheme for retailing of seasonal apparel. Joint Conference of Information Sciences: Semiotics, fuzzy logic, soft computing, computer vision, neural computing, genetic algorithm, pattern recognition, evolutionary computing, 2, 300–303. Durham, NC: Duke University Machine Intelligence & Fuzzy Logic Laboratory.

Wang, D. W., & Fang, S.-C. (1997). A genetics-based approach for aggregated production planning in a fuzzy environment. IEEE Transactions on Systems, Man, and Cybernetics. Part A, Systems and Humans, 27(5), 636–645. https://doi.org/10.1109/3468.618262

Wang, D. W., & Fang, S. C. (1997). A global-filtering algorithm for linear programming problems with stochastic elements. IEEE Transactions on Systems, Man, and Cybernetics. Part A, Systems and Humans, 27(5), 636–645.

Mishra, S., & Fang, S.-C. (1997). A maximum entropy optimization approach to tandem queues with generalized blocking: Part I - Infinite demand. Performance Evaluation, 30(4), 217–241. https://doi.org/10.1016/S0166-5316(96)00061-2

Fang, S.-C., & Chen, Y.-H. (1997). A neural network approach to solving convex programming problems. Joint Conference of Information Sciences: Semiotics, fuzzy logic, soft computing, computer vision, neural computing, genetic algorithm, pattern recognition, evolutionary computing, 2, 215–218. Durham, NC: Duke University Machine Intelligence & Fuzzy Logic Laboratory.

Fang, S. C., Rajasekera, J. R., & Tsao, H. S. J. (1997). Entropy optimization and mathematical programming. Boston: Kluwer Academic Publishers.

Wang, D., & Fang, S. (1997). Fuzzy Mathematics and Optimization. Beijing, China: Science Press.

Guan, S. H., & Fang, S.-C. (1997). Linear programming with stochastic elements: An on-line approach. Computers & Mathematics With Applications, 33(9), 61–82. https://doi.org/10.1016/S0898-1221(97)00066-7

Fang, S. C., & Wang, D. C. (1997). Mo hu shu hsueh yu mo hu yiu hua=Fuzzy mathematics and optimization. Beijing, China: Ko hsueh chu pan she.

Li, X. S., & Fang, S.-C. (1997). On the entropic regularization method for solving min-max problems with applications. Mathematical Methods of Operations Research, 46(1), 119–130. https://doi.org/10.1007/BF01199466

Fang, S.-C., & Tsao, H. S. J. (1997). Perturbing the dual feasible region for solving convex quadratic programs. Journal of Optimization Theory and Applications, 94(1), 73–85. https://doi.org/10.1023/A:1022655502360

Natu, M., & Fang, S.-C. (1997). The point-to-point connection problem: Analysis and algorithms. Discrete Applied Mathematics [Amsterdam, Netherlands], 78(1-3), 207–226. https://doi.org/10.1016/s0166-218x(97)00010-3

Fang, S.-C., & Tsao, H.-S. J. (1996). A dual perturbation view of linear programming. Mathematical Methods of Operations Research, 44(1), 1–9. https://doi.org/10.1007/bf01246326

Hwang, T.-M., Lin, C.-H., Lin, W.-W., & Fang, S.-C. (1996). A relaxed primal-dual path-following algorithm for linear programming. Annals of Operations Research, 62(1), 173–196. https://doi.org/10.1007/bf02206816

Wang, D., & Fang, S.-C. (1996). A semi-infinite programming model for earliness/tardiness production planning with a genetic algorithm. Computers & Mathematics with Applications, 31(8), 95–106. https://doi.org/10.1016/0898-1221(96)00034-x

Fang, S.-C., & Tsao, H.-S. J. (1996). An efficient computational procedure for solving entropy optimization problems with infinitely many linear constraints. Journal of Computational and Applied Mathematics, 72(1), 127–139. https://doi.org/10.1016/0377-0427(95)00266-9

Fang, S., & Wang, D. W. (1996). Just-in-Time Production Planning with Semi-Infinite Programming and Genetic Algorithms. Journal of Control and Decision, 11, 446–451.

Tsao, H.-S. J., & Fang, S.-C. (1996). Linear programming with inequality constraints via entropic perturbation. International Journal of Mathematics and Mathematical Sciences, 19(1), 177–184. https://doi.org/10.1155/s0161171296000257

Fang, S. C., & Tsao, H. S. J. (1996). On the entropic perturbation and exponential penalty methods for linear programming. Journal of Optimization Theory and Applications, 89(2), 461–466. https://doi.org/10.1007/bf02192539

Lin, C.-J., Fang, S.-C., & Wu, S.-Y. (1996). Parametric linear semi-infinite programming. Applied Mathematics Letters, 9(3), 89–96. https://doi.org/10.1016/0893-9659(96)00038-9

Fang, S.-C., & Tsao, H. S. J. (1996). Solving Linear Programs With Inequality Constraints Via Perturbation of Feasible Region. Optimization, 37(3), 213–223. https://doi.org/10.1080/02331939608844214

Fang, S.-C., & Wu, S.-Y. (1996). Solving min-max problems and linear semi-infinite programs. Computers & Mathematics with Applications, 32(6), 87–93. https://doi.org/10.1016/0898-1221(96)00145-9

Rajasekera, J. R., & Fang, S. C. (1995). A New Approach to Tolerance Allocation in Design Cost Analysis. Engineering Optimization, 24(4), 283–291. https://doi.org/10.1080/03052159508941194

Sheu, R.-L., Wu, S.-Y., & Fang, S.-C. (1995). A primal-dual infeasible-interior-point algorithm for linear semi-infinite programming. Computers & Mathematics with Applications, 29(8), 7–18. https://doi.org/10.1016/0898-1221(95)00025-t

Tsao, H.-S. J., & Fang, S.-C. (1995). An unconstrained dual approach to solving Karmarkar-type linear programs using conventional barrier functions. Zeitschrift Für Operations Research, 42(3), 325–343. https://doi.org/10.1007/bf01432508

Wu, P. T., Fang, S., King, R. E., & Nuttle, H. L. W. (1995). Decision Surface Modeling of Apparel Retail Operations using Neural Network Technology. International Journal of Operations and Quantitative Management, 1, 33–47.

Fang, S. C., & Rajasekera, J. R. (1995). Entropy Optimization Models with Convex Constraints. Information and Computation, 116(2), 304–311. https://doi.org/10.1006/inco.1995.1022

Wu, P., Fang, S.-C., Nuttle, H. L. W., Wilson, J. R., & King, R. E. (1995). Guided Neural Network Learning Using a Fuzzy Controller, with Applications to Textile Spinning. International Transactions in Operational Research, 2(3), 259–272. https://doi.org/10.1111/j.1475-3995.1995.tb00020.x

Lin, C.-J., Yang, E. K., Fang, S.-C., & Wu, S.-Y. (1995). Implementation of an inexact approach to solving linear semi-infinite programming problems. Journal of Computational and Applied Mathematics, 61(1), 87–103. https://doi.org/10.1016/0377-0427(94)00051-2

Fang, S. C., & Tsao, H.-S. J. (1995). Linearly-Constrained Entropy Maximization Problem with Quadratic Cost and Its Applications to Transportation Planning Problems. Transportation Science, 29(4), 353–365. https://doi.org/10.1287/trsc.29.4.353

Natu, M., & Fang, S.-C. (1995). On the point-to-point connection problem. Information Processing Letters, 53(6), 333–336. https://doi.org/10.1016/0020-0190(94)00216-l

Puthenpura, S., Sinha, L., Fang, S.-C., & Saigal, R. (1995). Solving stochastic programming problems via Kalman filter and affine scaling. European Journal of Operational Research, 83(3), 503–513. https://doi.org/10.1016/0377-2217(94)00250-g

Xu, Z. K., & Fang, S. C. (1995). Unconstrained convex programming approach to linear programming. Journal of Optimization Theory and Applications, 86(3), 745–752. https://doi.org/10.1007/bf02192167

Lin, C.-J., Fang, S.-C., & Wu, S.-Y. (1994). A Dual Affine Scaling Based Algorithm for Solving Linear Semi-Infinite Programming Problems. In D. Z. Du & J. Sun (Eds.), Advances in Optimization and Approximation (pp. 217–234). https://doi.org/10.1007/978-1-4613-3629-7_11

Huang, T. M., Lin, C. H., Lin, W. W., & Fang, S. (1994). A Relaxed Interior Path Following Primal – Dual Algorithm for Convex Quadratic Programming. Mathematics Today, (Special Issue XII-A), 115–144.

Fang, S. C., & Tsao, H. S. J. (1994). A quadratically convergent global algorithm for the linearly-constrained minimum cross-entropy problem. European Journal of Operational Research, 79(2), 369–378. https://doi.org/10.1016/0377-2217(94)90365-4

Fang, S.-cherng., & Wu, S.-yi. (1994). An inexact approach to solving linear semi-infinite programming problems. Optimization, 28(3-4), 291–299. https://doi.org/10.1080/02331939408843923

Nuttle, H. L. W., Wu, P. T., King, R., Wilson, J., & Fang, S. (1994). Decision Surface Modeling of Textile Retail Operations using Neural Network. Proceedings of the Annual Fuzzy Theory and Technology International Conference, 312–315.

Fang, S., & Wu, S. Y. (1994). Entropic Path-Following for Linear Semi-Infinite Programming. Mathematics Today, (Special Issue XII-A), 1–16.

Berkstresser, G., Fang, S., Hunter, A., Nuttle, H. L. W., King, R., & Wilson, J. (1994). Modeling Textile, Apparel, Retail Operations and Interactions. In S. Kawasbata & M. Niwa (Eds.), Proceedings of the 23rd Textile Research Symposium at Mt. Fuji.

King, R., Hunter, A., Nuttle, H., Wilson, J., & Fang, S. (1994). Modeling the Actions and Interactions of the Textile-Apparel-Retail Pipeline. In L. Burke & J. Jackman (Eds.), 3rd Industrial Engineering Research Conference Proceedings (pp. 142–147).

Fang, S.-C., & Puthenpura, S. (1994). Numerical linear algebra and optimization–volume 1, by Philip E. Gill. Walter Murray, and Margaret H. Wright, Addison-Wesley, Redwood City, CA, 1991, 448 pp. Price: $46.25 [Review of Numerical linear algebra and optimization, by P. E. Gill, W. Murray, & M. H. Wright]. Networks, 24(2), 128–129. https://doi.org/10.1002/net.3230240218

Fang, S.-C., Lin, C.-J., & Wu, S.-Y. (1994). On solving convex quadratic semi-infinite programming probelms. Optimization, 31(2), 107–125. https://doi.org/10.1080/02331939408844009

Sheu, R. L., & Fang, S. C. (1994). On the generalized path-following methods for linear programming. Optimization, 30(3), 235–249. https://doi.org/10.1080/02331939408843987

Fang, S., & Natu, M. (1994). The Complexity of Finding K Disjoint Paths in a Network. Journal of the Chinese Institute of Industrial Engineers, 11, 125–128.

Tsao, H. S. J., Fang, S. C., & Lee, D. N. (1993). A Bayesian Interpretation of the Linearly-Constrained Cross-Entropy Minimization Problem. Engineering Optimization, 22(1), 65–75. https://doi.org/10.1080/03052159308941326

Fang, S. C., & Tsao, H.-S. J. (1993). An unconstrained convex programming approach to solving convex quadratic programming problems. Optimization, 27(3), 235–243. https://doi.org/10.1080/02331939308843884

Puthenpura, S. C., & Fang, S. (1993). Linear Optimization and Extensions: Theory and Algorithms. Englewood Cliffs, New Jersey: Prentice Hall.

Fang, S. (1993). Linear Programming. Mathmedia, 17(1), 28–37.

Fang, S. C., & Tsao, H. S. J. (1993). Linear programming with entropic perturbation. Zeitschrift Für Operations Research, 37(2), 171–186. https://doi.org/10.1007/bf01414155

Sheu, R.-L., & Fang, S.-C. (1993). On the relationship of interior-point methods. International Journal of Mathematics and Mathematical Sciences, 16(3), 565–572. https://doi.org/10.1155/s0161171293000699

Fang, S. (1993). Some New Applications of Operations Research at NCSU. Proceedings of Sino-American International Technology Transfer Symposium, 259–260.

Fang, S.-C. (1992). An unconstrained convex programming view of linear programming. Zeitschrift Für Operations Research, 36(2), 149–161. https://doi.org/10.1007/bf01417214

Rajasekera, J. R., & Fang, S. C. (1992). Deriving an unconstrained convex program for linear programming. Journal of Optimization Theory and Applications, 75(3), 603–612. https://doi.org/10.1007/bf00940495

Sheu, R.-L., & Fang, S.-C. (1992). Insights into the interior-point methods. Zeitschrift Für Operations Research, 36(3), 227–257. https://doi.org/10.1007/bf01415890

Fang, S. (1992). Introduction to Optical Fiber Communications (2nd ed.). R.O.C., Taiwan: National Translation and Compiler Bureau of Taiwan.

Fang, S. C., Peterson, E. L., & Rajasekera, J. R. (1992). Minimum cross-entropy analysis with entropy-type constraints. Journal of Computational and Applied Mathematics, 39(2), 165–178. https://doi.org/10.1016/0377-0427(92)90127-j

Tsao, H. S. J., Fang, S. C., & Lee, D. N. (1992). On the optimal entropy analysis. European Journal of Operational Research, 59(2), 324–329. https://doi.org/10.1016/0377-2217(92)90149-4

Jan, G.-M., & Fang, S.-C. (1991). A new variant of the primal affine scaling algorithm for linear programs. Optimization, 22(5), 681–715. https://doi.org/10.1080/02331939108843712

Tsao, H. S., Lee, D. N., & Fang, S. (1991). Entropy Optimization Methods and Bayesian Estimation Procedure. Proceedings of Advances in Mathematics, Computations, and Reactor Physics, 17(2), 3.1–3.11.

Rajasekera, J. R., & Fang, S. C. (1991). On the convex programming approach to linear programming. Operations Research Letters, 10(6), 309–312. https://doi.org/10.1016/0167-6377(91)90001-6

Peterson, E. L., & Fang, S. (1991). Promising New Interior-Point Methods for Large Scale Linear Programming. Proceedings of Advances in Mathematics, Computations, and Reactor Physics, 17(2), 2.1–2.12.

Tao, H. S., Lee, D. N., & Fang, S. (1990). A Bayesian Interpretation of the Linearly Constrained Cross-Entropy Minimization Problem (AT&T Bell Laboratories Technical Memorandum No. 51173-901204-01).

Fang, S. (1990). A New Method to Test Electric Shorts on PCB. IIE Proceedings of Annual Conference, 65–68.

Fang, S. (1990). An Efficient Method for the PCB Shorts-Testing. Chinese Journal of Operations Research, 9(2), 75–80.

Fang, S. C. (1990). Detecting electrical shorts on printed circuit boards. International Journal of Production Research, 28(6), 1031–1037. https://doi.org/10.1080/00207549008942773

Fang, S., Tsao, H. S., & Lee, D. N. (1990). Jensen’s Inequality for Optimal Entropy Analysis (AT&T Bell Laboratories Technical Memorandum No. 51173-900820-01TM).

Fang, S., & Rajasekera, J. R. (1990). Minimum Cost Tolerance Allocation with Exponential Cost Function. IIE Proceedings of Annual Conference, 476–480.

Fang, S. (1990). New Advances in Telecommunications Network Planning. Proceedings of CAAPCON, 595–598.

Puthenpura, S., Fang, S., Saigal, R., & Sinha, L. (1990). Optimal Control for Stochastic Linear Programming Systems, 7 Claims [US Patent Application].

Fang, S. (1990). Planning an Integrated Communication Network for Automated Manufacturing Systems. In H. R. Parsaei, T. L. Ward, & W. Karwowski (Eds.), Justification Methods for Computer Integrated Manufacturing (pp. 62–84).

Fang, S. C., & Rajasekera, J. R. (1990). Quadratically constrained information theoretic analysis. International Journal of Systems Science, 21(3), 587–591. https://doi.org/10.1080/00207729008910390

Fang, S., Puthenpura, S., Saigal, R., & Sinha, L. (1990). Solving Stochastic Programming Problems via Kalman filter and Affine Scaling (AT&T Bell Laboratories Technical Memorandum No. 51173-900808-01).

Fang, S., & Rajasekera, J. R. (1989). Quadratic Programming with A Single Quadratic Constraint. Journal of Chinese Institute of Industrial Engineers, 6(1), 37–42.

Fang, S. C., & Rajasekera, J. R. (1989). Quadratically constrained minimum cross-entropy analysis. Mathematical Programming, 44(1-3), 85–96. https://doi.org/10.1007/bf01587079

Fang, S. (1989). Telecommunication Network Facility Capacity Planning. Proceedings of ACSSUS 13th Annual Conference, 40–59.

Fang, S. (1988). A Computer Aided Manufacturing System for Fiber Optics Shops. Proceedings of the Modern Engineering & Technologies Seminar, II, 327–333.

Fang, S. C., Peterson, E. L., & Rajasekera, J. R. (1988). Controlled dual perturbations for posynomial programs. European Journal of Operational Research, 35(1), 111–117. https://doi.org/10.1016/0377-2217(88)90383-9

Fang, S. (1988). Designing an Integrated Telecommunication Network for Factory Automation. Proceedings of the Modern Engineering & Technologies Seminar, II, 303–325.

Fang, S., & Rajasekera, J. R. (1988). Multifacility Transportation-Location Problem with Rectilinear Distances. IIE Proceedings of Annual Conference, 170–173.

Fang, S. C., & Rajasekera, J. R. (1987). A perturbation approach to the main duality theorem of quadratic geometric programming. Zeitschrift Für Operations Research, 31(3), A103–A118. https://doi.org/10.1007/bf01259339

Fang, S. (1987). AT&T Factory Data Network Planning Book. Berkeley Heights, New Jersey: AT&T Corporate Headquarters.

Fang, S. (1987). AT&T Factory Data Network Planning Book [AT&T Corporate Headquarters  Technical Memorandum].

Fang, S. (1987). AT&T Factory Data Networking Planning Baseline Architecture Document [AT&T Corporate Headquarters Technical Memorandum].

Fang, S., & Rajasekera, J. R. (1987). An EOQ Discount Pricing Model for Multiple Items. In A. Mital (Ed.), Proceedings of the 9th International Conference on Production Research (pp. 1737–1743).

Fang, S. (1987). Intrafactory Data Network Planning – Part I: MAP Economics [AT&T Corporate Headquarters Technical Memorandum].

Fang, S. (1987). Intrafactory Data Network Planning – Part II: Target Architecture [AT&T Corporate Headquarters Technical Memorandum].

Fang, S. (1987). Intrafactory Data Network Planning – Part III: Target Implementation [AT&T Corporate Headquarters Technical Memorandum].

Fang, S. (1987). Intrafactory Data Network Planning – Part IV: Fiber Distribution Plan [AT&T Corporate Headquarters Technical Memorandum].

Fang, S. (1987). Intrafactory Data Network Planning – Part V: Transition Plan [AT&T Corporate Headquarters Technical Memorandum].

Rajasekera, J. R., & Fang, S. (1987). On the Quadratically Constrained Information Theoretic Analysis (Technical Report No. CC8743). AT&T Engineering Research Center.

Fang, S. C. (1987). Optimal repair decisions for integrated circuits manufacturing. International Journal of Systems Science, 18(4), 743–747. https://doi.org/10.1080/00207728708964005

Rajasekera, J. R., & Fang, S. (1987). Quadratic Programming with a Single Quadratic Constraint (Technical Report No. CC8682). AT&T Engineering Research Center.

Rajasekera, J. R., & Fang, S. (1986). A Perturbation Approach to the Main Duality Theorem of Quadratic Geometric Programs (AT&T Bell Laboratories Technical Memorandum No. 54142-860718-01).

Fang, S. (1986). Comments on "An iterative method for generalized complementarity problems". IEEE Transactions on Automatic Control, 31(11), 1083–1084. https://doi.org/10.1109/tac.1986.1104154

Fang, S. C., & Rajasekera, J. R. (1986). Controlled dual perturbations for l p -programming. Zeitschrift Für Operations Research, 30(1), A29–A42. https://doi.org/10.1007/bf01918629

Fang, S. C., & Rajasekera, J. R. (1986). Controlled perturbations for quadratically constrained quadratic programs. Mathematical Programming, 36(3), 276–289. https://doi.org/10.1007/bf02592062

Fang, S. (1986). Dynamic Facility Network Planning – A Linear Programming Loader with Arbitrary Incremental Demands and Rearrangement Capabilities (AT&T Bell Laboratories Technical Memorandum No. 54112-860610-01).

Fang, S. (1986). Dynamic Facility Network Planning – A Solution Architecture with Block Cholesky Factorization (AT&T Bell Laboratories Technical Memorandum No. 54112-860305-01).

Slutsman, L. A., & Fang, S. (1986). Dynamic Facility Network Planning – Design Architecture (AT&T Bell Laboratories Technical Memorandum No. 54112-860226-01).

Fang, S., & Rajasekera, J. R. (1985). A Dual Perturbation Method for Geometric Programming (AT&T Bell Laboratories Technical Memorandum No. 54112-850815-0).

Fang, S., & Rajasekera, J. R. (1985). A Perturbation Method for Quadratically Constrained Quadratic Programming (AT&T Bell Laboratories Technical Memorandum No. 54112-850715-01).

Fang, S. C., & Peterson, E. L. (1985). A fixed-point representation of the generalized complementarity problem. Journal of Optimization Theory and Applications, 45(3), 375–381. https://doi.org/10.1007/bf00938441

Murr, M. R., & Fang, S. (1985). An Introduction to Multimode LITES (Technical Report No. CC8305). AT&T Engineering Research Center.

Fang, S. C., & Peterson, E. L. (1985). An economic equilibrium model on a multicommodity network. International Journal of Systems Science, 16(4), 479–490. https://doi.org/10.1080/00207728508926688

Fang, S., & Rajasekera, J. R. (1985). Controlled Dual Perturbations for lp Programming (AT&T Bell Laboratories Technical Memorandum No. 54112-851115-01).

Fang, S. (1985). Dynamic Facility Network Planning – Modeling (AT&T Bell Laboratories Technical Memorandum No. 54112–850915–01).

Fang, S., & Murr, M. R. (1985). Finding a Simple Sequential Algorithm for Transportation Problems. IIE Proceedings of Annual Conference, 533–537.

Fang, S. (1985). Multiple Link Outage Analysis, AT&T Bell Laboratories (AT&T Bell Laboratories Internal Memorandum No. 54112-850703-01).

Fang, S. C. (1985). Optimal assortment with concave cost functions. International Journal of Systems Science, 16(10), 1305–1311. https://doi.org/10.1080/00207728508926753

Murr, M. R., & Fang, S. (1984). A Fiber Selection Algorithm for Submarine Lightguide Systems (Technical Report No. CC8165). AT&T Engineering Research Center.

Fang, S. (1984). A linearization method for generalized complementarity problems. IEEE Transactions on Automatic Control, 29(10), 930–933. https://doi.org/10.1109/tac.1984.1103393

Fang, S. C. (1984). Routeing in a Network with Multi-Class Links. Journal of the Operational Research Society, 35(7), 637–640. https://doi.org/10.1057/jors.1984.127

Murr, M. R., Fang, S., & Rajasekera, J. R. (1984). Statistical Analysis of Splice Losses of Lightguide Fiber at Atlanta Works (Technical Report No. CC8426). AT&T Engineering Research Center.

Fang, S. C. (1983). A Sequential Algorithm for an Inventory Selection Problem. IMA Journal of Applied Mathematics, 31(2), 161–168. https://doi.org/10.1093/imamat/31.2.161

Fang, S., & Murr, M. R. (1983). A Span Engineering Algorithm for Lightguide Cable Manufacturing. Proceedings of Annual Conference of the Western Electric Applied Math Seminar, 1–12.

Murr, M. R., & Fang, S. (1983). A Span Engineering Algorithm for Lightguide Cable Manufacturing (Technical Report No. CC7957). AT&T Engineering Research Center.

Fang, S., & Murr, M. R. (1983). A Span Engineering Algorithm for Loop Fibers (Technical Report No. CC8056). AT&T Engineering Research Center.

Fang, S. C., & Peterson, E. L. (1983). General network equilibrium analysis. International Journal of Systems Science, 14(11), 1249–1257. https://doi.org/10.1080/00207728308926527

Fang, S. (1982). A Note on Q-Matrices. Bulletin of the Institute of Mathematics Academia Sinica, 10(3), 239–243.

Fang, S. C. (1982). A model for locating repair stations in a sequential manufacturing process. Applied Mathematical Modelling, 6(5), 363–368. https://doi.org/10.1016/s0307-904x(82)80099-1

Murr, M. R., & Fang, S. (1982). Fiber Selection Problem in the Lightguide Cable Ribboning Process (Technical Report No. CC7778). AT&T Engineering Research Center.

Fang, S.-C. (1982). Fixed Point Models for the Equilibrium Problems on Transportation Networks. Tamkang Journal of Mathematics, 13(2), 181–191.

Fang, S. C., & Peterson, E. L. (1982). Generalized variational inequalities. Journal of Optimization Theory and Applications, 38(3), 363–383. https://doi.org/10.1007/bf00935344

Lamendola, C. N., & Fang, S. (1982). Optimal Scheduling of the Coil Slitting Problem. IIE Proceedings of Annual Conference, 476–480.

Fang, S.-C. (1982). Solving Linear Constrained Separable Convex Programs via Generalized Geometric Programming Duality. Chinese Journal of Mathematics, 10(2), 103–112.

Fang, S.-C. (1982). Traffic Equilibria on Multiclass-User Transportation Networks Analyzed via Variational Inequalities. Tamkang Journal of Mathematics, 13(1), 1–9.

Lamendola, C. N., & Fang, S. (1982). User’s Guide of ERC Slitting Package (Technical Report No. CC3083-02). AT&T Engineering Research Center.

Fang, S. (1981). Routing in a Network with Multi-Class Links (Technical Report No. CC7479). AT&T Engineering Research Center.

Lamendola, C. N., & Fang, S. (1981). The Most Frequently Used Decreasing Algorithm for the 1.5-Dimensional Coil Slitting Problem (Technical Report No. CC7455). AT&T Engineering Research Center.

Lamendola, C. N., & Fang, S. (1981). The Most Frequently Used Decreasing Algorithm for the 2-Dimensional Coil Slitting Problem (Technical Report No. CC7575). AT&T Engineering Research Center.

Fang, S.-C. (1980). An iterative method for generalized complementarity problems. IEEE Transactions on Automatic Control, 25(6), 1225–1227. https://doi.org/10.1109/tac.1980.1102537