Shu-Cherng Fang

Jiang, S., Fang, S.-C., Nie, T., & Xing, W. (2020). A gradient descent based algorithm for l(p) 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. https://doi.org/10.1016/j.tre.2020.101896

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., 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. 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 AND 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. B., Fang, S. C., Lu, C., & Guo, X. L. (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. B., 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. 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. J., Cao, B. Y., 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. 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

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. https://doi.org/10.1007/S11590-018-1361-8

Zhang, J. H., Fang, S. C., Xu, Y. F., & Wang, Z. T. (2017). A cooperative game with envy. Journal of Industrial and Management Optimization, 13(4), 2049–2066.

Gajny, L., Gibaru, O., Nyiri, E., & Fang, S. C. (2017). Best L-1 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. X. (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

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.

Xia, Y., Sheu, R. L., Fang, S. C., & Xing, W. X. (2017). Double well potential function and its optimization in the N-dimensional real space - Part II. Journal of Industrial and Management Optimization, 13(3), 1307–1328.

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 and Management Optimization, 13(2), 1065–1084.

Yan, X., Bai, Y. Q., 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. 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. M., Fang, S. C., Guo, X. L., Deng, Z. B., & Qi, J. X. (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., 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. Q., & Deng, Z. B. (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. T., Fang, S. C., Deng, Z. B., & Lavery, J. E. (2016). On linear conic relaxation of discrete quadratic programs. Optimization Methods & Software, 31(4), 737–754. https://doi.org/10.1080/10556788.2015.1134528

Li, X. M., Huang, Y. H., Fang, S. C., & Deng, Z. B. (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. B., & Guo, X. L. (2016). Soft quadratic surface support vector machine for binary classification. Asia-Pacific Journal of Operational Research, 33(6). 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

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

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.

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. 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

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. 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. B., Bulatov, D., Lavery, J. E., & Fang, S. C. (2013). Comparison of an l(1)-regression-based and a RANSAC-based planar segmentation procedure for urban terrain data with many outliers. Image and signal processing for remote sensing xix, 8892. https://doi.org/10.1117/12.2028627

Tian, Y., Fang, S. C., Deng, Z. B., & Xing, W. X. (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), 703–721.

Deng, Z. B., Fang, S. C., Jin, Q. W., & Xing, W. X. (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

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

Bai, Y. Q., Fang, S. C., Fang, W. W., Han, J. Y., & Xiu, N. H. (2013). Optimization: Special issue on the Eighth Chinese Symposium on Mathematical Programming (CSMP 2010) PREFACE. Optimization, 62(4), 429–430. https://doi.org/10.1080/02331934.2013.795052

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

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

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

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.-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

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. W., & Fang, S. C. (2011). A selfish routing based network improvement problem. Journal of Systems Science & 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

Zhang, L. P., 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 and 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

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. 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.

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., & Fang, S. C. (2008). [Review of On the resolution and optimization of a system of fuzzy relational equations with sup-T composition]. Fuzzy Optimization and Decision Making, 7(2), 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

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. 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

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

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

Cheng, H., Fang, S. C., & 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

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., Han, J. Y., Huang, Z. H., & Birbil, S. I. (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

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

Liao, Y., Fang, S. C., & Nuttle, H. L. W. (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

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

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

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

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

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

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. 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

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

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

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

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. 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.

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.

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.

Nuttle, H. L. W., King, R. E., 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. E., 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

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. 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. J. (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.

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.

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