Shu-Cherng Fang

University Alumni Distinguished Graduate Professor

Walter Clark Chair

 
Shu-Cherng Fang has been appointed as the University Chair Professor of Tsinghua University (Beijing), Honorary University Professor of Northeast University (Shenyang), Honorary University Professor of Shanghai University (Shanghai), Honorary University Professor of Fudan University (Shanghai), Graduate University Advisory Professor of the Chinese Academy of Sciences (Beijing), Honorary University Chair Professor of the National Chiao Tung University (Taiwan) and Honorary IEEM Chair Professor of the National Tsinghua University (Taiwan). Before joining NC State, Professor Fang was Senior Member of Research Staff at Western Electric Engineering Research Center, Supervisor at AT&T Bell Labs, and Department Manager at the Corporate Headquarters of AT&T Technologies.

Professor Fang has published over two hundred refereed journal articles. He authored the books of Linear Optimization and Extensions: Theory and Algorithms (Prentice Hall 1993, with S. C. Puthenpura), Entropy Optimization and Mathematical Programming (Kluwer Academic 1997, with J.R. Rajasekera and H.-S. Tsao) and Linear Conic Optimization (Science Press 2013, with Wenxun Xing). He currently serves on the editorial boards of several scientific journals, including Optimization, Journal of Global Optimization, Optimization Letters, Pacific Journal of Optimization, Journal of Management and Industrial Optimization, Annals of Data Science, Systems Engineering – Theory and Practice, Journal of Systems Science and Information, Journal of Operations and Logistics, International Journal of Decision Support Systems, Chinese Journal of Management Science, Journal of Uncertainties, International Journal of Fuzzy Systems, Iranian Journal of Fuzzy Systems, Fuzzy Information and Engineering, OR Transactions and Journal of the Operations Research Society of China. He is also the Editor-in-Chief of Fuzzy Optimization and Decision Making.

Discover more about Dr. Fang, see Faculty Profile: Shu-Cherng Fang.

Education

Ph.D. 1979

Doctor of Philosophy in Industrial Engineering

Northwestern University

MS 1977

Master of Science

Johns Hopkins University

BS 1974

Bachelor of Science

National Tsing Hua University Taiwan

Research Description

Linear and nonlinear programming, fuzzy optimization and decision making, soft computing and heuristic methods, logistics and supply chain management, telecommunication networks and L1 splines.

Honors and Awards

Publications

A proximal quadratic surface support vector machine for semi-supervised binary classification
Yan, X., Bai, Y., Fang, S.-C., & Luo, J. (2018), SOFT COMPUTING, 22(20), 6905–6919. https://doi.org/10.1007/s00500-017-2751-z
Argument division based branch-and-bound algorithm for unit-modulus constrained complex quadratic programming
Lu, C., Deng, Z. B., Zhang, W. Q., & Fang, S. C. (2018), Journal of Global Optimization, 70(1), 171–187.
Core of the reinsurance market with dependent risks
Zhang, J. H., Fang, S. C., & Xu, Y. F. (2018), Journal of the Operations Research Society of China, 6(1), 49–57.
Enhanced linear reformulation for engineering optimization models with discrete and bounded continuous variables
An, Q., Fang, S. C., Li, H. L., & Nie, T. T. (2018), Applied Mathematical Modelling, 58, 140–157.
Geometric programming with discrete variables subject to max-product fuzzy relation constraints
Qin, Z. J., Cao, B. Y., Fang, S. C., & Yang, X. P. (2018), Discrete Dynamics in Nature and Society.
Inventory centralization with risk-averse newsvendors
Zhang, J., Fang, S.-C., & Xu, Y. (2018), ANNALS OF OPERATIONS RESEARCH, 268(1-2), 215–237. https://doi.org/10.1007/s10479-017-2578-0
Reverse auctions with regret-anticipated bidders
Qian, X., Fang, S.-C., Huang, M., An, Q., & Wang, X. (2018), ANNALS OF OPERATIONS RESEARCH, 268(1-2), 293–313. https://doi.org/10.1007/s10479-017-2475-6
A branch-and-cut algorithm using polar cuts for solving nonconvex quadratic programming problems
Deng, Z. B., Fang, S. C., Lu, C., & Guo, X. L. (2018), Optimization, 67(2), 359–375.
Best L-1 approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces
Gajny, L., Gibaru, O., Nyiri, E., & Fang, S. C. (2017), Numerical Algorithms, 75(3), 827–843.
Conic approximation to quadratic optimization with linear complementarity constraints
Zhou, J., Fang, S. C., & Xing, W. X. (2017), Computational Optimization and Applications, 66(1), 97–122.
Double well potential function and its optimization in the N-dimensional real space - Part I
Fang, S. C., Gao, D. Y., Lin, G. X., Sheu, R. L., & Xing, W. X. (2017), Journal of Industrial and Management Optimization, 13(3), 1291–1305.
Double well potential function and its optimization in the N-dimensional real space - Part II
Xia, Y., Sheu, R. L., Fang, S. C., & Xing, W. X. (2017), Journal of Industrial and Management Optimization, 13(3), 1307–1328.
Linear reformulation of polynomial discrete programming for fast computation
Li, H. L., Huang, Y. H., & Fang, S. C. (2017), INFORMS Journal on Computing, 29(1), 108–122.
Mixed-integer linear programming approach for scheduling repetitive projects with time-cost trade-off consideration
Zou, X., Fang, S. C., Huang, Y. S., & Zhang, L. H. (2017), Journal of Computing in Civil Engineering, 31(3).
Solving routing and wavelength assignment problem with maximum edge-disjoint paths
Hsu, C. C., Cho, H. J., & Fang, S. C. (2017), Journal of Industrial and Management Optimization, 13(2), 1065–1084.
A cooperative game with envy
Zhang, J. H., Fang, S. C., Xu, Y. F., & Wang, Z. T. (2017), Journal of Industrial and Management Optimization, 13(4), 2049–2066.
Cardinality constrained portfolio selection problem: A completely positive programming approach
Tian, Y., Fang, S., Deng, Z. B., & Jin, Q. W. (2016), Journal of Industrial and Management Optimization, 12(3), 1041–1056.
Fuzzy quadratic surface support vector machine based on fisher discriminant analysis
Luo, J., Fang, S. C., Bai, Y. Q., & Deng, Z. B. (2016), Journal of Industrial and Management Optimization, 12(1), 357–373.
On linear conic relaxation of discrete quadratic programs
Nie, T. T., Fang, S. C., Deng, Z. B., & Lavery, J. E. (2016), Optimization Methods & Software, 31(4), 737–754.
Reformulations for project portfolio selection problem considering interdependence and cardinality
Li, X. M., Huang, Y. H., Fang, S. C., & Deng, Z. B. (2016), Pacific Journal of Optimization, 12(2), 355–366.
Soft quadratic surface support vector machine for binary classification
Luo, J., Fang, S. C., Deng, Z. B., & Guo, X. L. (2016), Asia-Pacific Journal of Operational Research, 33(6).
Winner determination for risk aversion buyers in multi-attribute reverse auction
Huang, M., Qian, X. H., Fang, S. C., & Wang, X. W. (2016), Omega, 59, 184–200.
A kernel-free quadratic surface support vector machine for semi-supervised learning
Yan, X., Bai, Y. Q., Fang, S. C., & Luo, J. (2016), Journal of the Operational Research Society, 67(7), 1001–1011.
An enhanced logarithmic method for signomial programming with discrete variables
Li, H. L., Fang, S. C., Huang, Y. H., & Nie, T. T. (2016), European Journal of Operational Research, 255(3), 922–934.
An extended model for project portfolio selection with project divisibility and interdependency
Li, X. M., Fang, S. C., Guo, X. L., Deng, Z. B., & Qi, J. X. (2016), Journal of Systems Science and Systems Engineering, 25(1), 119–138.
Canonical dual solutions to quadratic optimization over one quadratic constraint
Xing, W. X., Fang, S. C., Sheu, R. L., & Zhang, L. P. (2015), Asia-Pacific Journal of Operational Research, 32(1).
Conic approximation to nonconvex quadratic programming with convex quadratic constraints
Deng, Z. B., Fang, S. C., Jin, Q. W., & Lu, C. (2015), Journal of Global Optimization, 61(3), 459–478.
Expanded model of the project portfolio selection problem with divisibility, time profile factors and cardinality constraints
Li, X. M., Fang, S. C., Tian, Y., & Guo, X. L. (2015), Journal of the Operational Research Society, 66(7), 1132–1139.
On shape-preserving capability of cubic L-1 spline fits
Wang, Z. T., Fang, S. C., & Lavery, J. E. (2015), Computer Aided Geometric Design, 40, 59–75.
Set covering-based topsis method for sloving sup-T equation constrained multi-objective optimization problems
Hu, C. F., & Fang, S. C. (2015), Journal of Systems Science and Systems Engineering, 24(3), 258–275.
Adaptive computable approximation to cones of nonnegative quadratic functions
Lu, C., Jin, Q. W., Fang, S. C., Wang, Z. B., & Xing, W. X. (2014), Optimization, 63(6), 955–980.
Detection of a copositive matrix over a p-th order cone
Zhou, J., Deng, Z. B., Fang, S. C., & Xing, W. X. (2014), Pacific Journal of Optimization, 10(3), 593–611.
In celebration of Professor Min-yi Yue's 95th birthday
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,
Non-L-R type fuzzy parameters in mathematical programming problems
Hu, C. F., Adivar, M., & Fang, S. C. (2014), IEEE Transactions on Fuzzy Systems, 22(5), 1062–1073.
Quadratic optimization over one first-order cone
Guo, X. L., Deng, Z. B., Fang, S. C., & Xing, W. X. (2014), Journal of Industrial and Management Optimization, 10(3), 945–963.
Solving conic quadratically constrained quadratic programming problems
Jin, Q. W., Fang, S. C., Lu, C., & Xing, W. X. (2014), Pacific Journal of Optimization, 10(3), 503–516.
Comparison of an l(1)-regression-based and a RANSAC-based planar segmentation procedure for urban terrain data with many outliers
Luo, J., Deng, Z. B., Bulatov, D., Lavery, J. E., & Fang, S. C. (2013), In Image and signal processing for remote sensing xix (Vol. 8892).
Computable representation of the cone of nonnegative quadratic forms over a general second-order cone and its application to completely positive programming
Tian, Y., Fang, S. C., Deng, Z. B., & Xing, W. X. (2013), Journal of Industrial and Management Optimization, 9(3), 703–721.
Detecting copositivity of a symmetric matrix by an adaptive ellipsoid-based approximation scheme
Deng, Z. B., Fang, S. C., Jin, Q. W., & Xing, W. X. (2013), European Journal of Operational Research, 229(1), 21–28.
On constraint qualifications: motivation, design and inter-relations
Wang, Z. T., Fang, S. C., & Xing, W. X. (2013), Journal of Industrial and Management Optimization, 9(4), 983–1001.
Optimization: Special issue on the Eighth Chinese Symposium on Mathematical Programming (CSMP 2010) PREFACE
Bai, Y. Q., Fang, S. C., Fang, W. W., Han, J. Y., & Xiu, N. H. (2013), Optimization, 62(4), 429–430.
Selecting optimal selling format of a product in B2C online auctions with boundedly rational customers
Jiang, Z. Z., Fang, S. C., Fan, Z. P., & Wang, D. W. (2013), European Journal of Operational Research, 226(1), 139–153.
Transport costs and China's exports: Some empirical evidences
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,
A branch-and-cut approach to portfolio selection with marginal risk control in a linear conic programming framework
Deng, Z. B., Bai, Y. Q., Fang, S. C., Tian, Y., & Xing, W. X. (2013), Journal of Systems Science and Systems Engineering, 22(4), 385–400.
A logarithmic method for reducing binary variables and inequality constraints in solving task assignment problems
Li, H. L., Huang, Y. H., & Fang, S. C. (2013), INFORMS Journal on Computing, 25(4), 643–653.
An entropy based central cutting plane algorithm for convex min-max semi-infinite programming problems
Zhang, L. P., Fang, S. C., & Wu, S. Y. (2013), Science China-Mathematics, 56(1), 201–211.
Canonical dual approach to solving the maximum cut problem
Wang, Z. B., Fang, S. C., Gao, D. Y., & Xing, W. X. (2012), Journal of Global Optimization, 54(2), 341–351.
Convex optimization on mixed domains
Adivar, M., & Fang, S. C. (2012), Journal of Industrial and Management Optimization, 8(1), 189–227.
Global optimal solutions to a class of quadrinomial minimization problems with one quadratic constraint
Yuan, Y. B., Fang, S. C., & Gao, D. Y. (2012), Journal of Global Optimization, 52(2), 195–209.
Introduction to the special issue on optimizing risk management in services
Wu, D. D., Fang, S. C., Olson, D. L., & Birge, J. R. (2012), Optimization, 61(10), 1175–1177.
Randomly generating test problems for fuzzy relational equations
Hu, C. F., & Fang, S. C. (2012), Fuzzy Optimization and Decision Making, 11(1), 1–28.
Univariate cubic L-1 interpolating splines based on the first derivative and on 5-point windows: analysis, algorithm and shape-preserving properties
Jin, Q. W., Yu, L., Lavery, J. E., & Fang, S. C. (2012), Computational Optimization and Applications, 51(2), 575–600.
A canonical dual approach for solving linearly constrained quadratic programs
Xing, W. X., Fang, S. C., Sheu, R. L., & Wang, Z. T. (2012), European Journal of Operational Research, 218(1), 21–27.
A tropical cyclone-based method for global optimization
Chao, C. W., Fang, S. C., & Liao, C. J. (2012), Journal of Industrial and Management Optimization, 8(1), 103–115.
Inverse data envelopment analysis model to preserve relative efficiency values: The case of variable returns to scale
Lertworasirikul, S., Charnsethikul, P., & Fang, S. C. (2011), Computers & Industrial Engineering, 61(4), 1017–1023.
KKT solution and conic relaxation for solving quadratically constrained quadratic programming problems
Lu, C., Fang, S. C., Jin, Q. W., Wang, Z. B., & Xing, W. X. (2011), SIAM Journal on Optimization, 21(4), 1475–1490.
On the unique solvability of fuzzy relational equations
Li, P. K., & Fang, S. C. (2011), Fuzzy Optimization and Decision Making, 10(2), 115–124.
Set covering-based surrogate approach for solving sup-T equation constrained optimization problems
Hu, C. F., & Fang, S. C. (2011), Fuzzy Optimization and Decision Making, 10(2), 125–152.
A selfish routing based network improvement problem
Zhang, B. W., & Fang, S. C. (2011), Journal of Systems Science & Complexity, 24(1), 68–78.
Convergence and error bound of a d-gap function based newton-type algorithm for equilibrium problems
Zhang, L. P., Wu, S. Y., & Fang, S. C. (2010), Journal of Industrial and Management Optimization, 6(2), 333–346.
Extended canonical duality and conic programming for solving 0-1 quadratic programming problems
Lu, C., Wang, Z. B., Xing, W. X., & Fang, S. C. (2010), Journal of Industrial and Management Optimization, 6(4), 779–793.
On the global optimality of generalized trust region subproblems
Jin, Q. W., Fang, S. C., & Xing, W. X. (2010), Optimization, 59(8), 1139–1151.
Two-group knapsack game
Wang, Z. B., Xing, W. X., & Fang, S. C. (2010), Theoretical Computer Science, 411(7-9), 1094–1103.
Two-person knapsack game
Wang, Z. B., Xing, W. X., & Fang, S. C. (2010), Journal of Industrial and Management Optimization, 6(4), 847–860.
A Shadow-price based heuristic for capacity planning of TFT-LCD manufacturing
Chen, T. L., Lin, J. T., & Fang, S. C. (2010), Journal of Industrial and Management Optimization, 6(1), 209–239. https://doi.org/10.3934/jimo.2010.6.209
Global optimization for a class of fractional programming problems
Fang, S. C., Gao, D. Y., Sheu, R. L., & Xing, W. X. (2009), Journal of Global Optimization, 45(3), 337–353. https://doi.org/10.1007/s10898-008-9378-7
Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm
Li, P. K., & Fang, S. C. (2009), Journal of Systems Science & Complexity, 22(1), 49–62. https://doi.org/10.1007/s11424-009-9146-x
Robust univariate cubic L-2 spines: Interpolating data with uncertain positions of measurements
Averbakh, I., Fang, S. C., & Zhao, Y. B. (2009), (Vol. 5, pp. 351–361).
A note on solution sets of interval-valued fuzzy relational equations
Li, P., & Fang, S. C. (2009), Fuzzy Optimization and Decision Making, 8(1), 115–121.
Approximating term structure of interest rates using cubic L-1 splines
Chiu, N. C., Fang, S. C., Lavery, J. E., Lin, J. Y., & Wang, Y. (2008), European Journal of Operational Research, 184(3), 990–1004. https://doi.org/10.1016/j.ejor.2006.12.008
Canonical dual approach to solving 0-1 quadratic programming problems
Fang, S. C., Gao, D. Y., Sheu, R. L., & Wu, S. Y. (2008), Journal of Industrial and Management Optimization, 4(1), 124–142.
Geometric dual formulation for first-derivative-based univariate cubic L-1 splines
Zhao, Y. B., Fang, S. C., & Lavery, J. E. (2008), Journal of Global Optimization, 40(4), 589–621. https://doi.org/10.1007/s10898-006-9124-y
Global extremal conditions for multi-integer quadratic programming
Wang, Z. B., Fang, S. C., Gao, D. Y., & Xing, W. X. (2008), Journal of Industrial and Management Optimization, 4(2), 213–225.
On the resolution and optimization of a system of fuzzy relational equations with sup-T composition
Li, P., & Fang, S. C. (2008), Fuzzy Optimization and Decision Making, 7(2), 169–214.
Risk pooling strategy in a multi-echelon supply chain with price-sensitive demand
Dai, Y., Fang, S. C., Ling, X. L., & Nuttle, H. L. W. (2008), Mathematical Methods of Operations Research, 67(3), 391–421. https://doi.org/10.1007/s00186-007-0203-8
A new tunnel function method for global optimization
Zhang, L. S., Fang, S. C., & Wang, Y. (2008), Pacific Journal of Optimization, 4(1), 125–138.
Fuzzy optimization and decision making (vol 2, pg 41, 2003)
Wang, S., Fang, S. C., & Nuttle, H. L. W. (2007),
Fuzzy optimization and decision making (vol 4, pg 331, 2005)
Wang, S., Fang, S. C., & Nuttle, H. L. W. (2007),
Solving variational inequalities defined on a domain with infinitely many linear constraints
Fang, S. C., Wu, S., & Birbil, S. I. (2007), Computational Optimization and Applications, 37(1), 67–81. https://doi.org/10.1007/s10589-007-9013-4
A compressed primal-dual method for generating bivariate. cubic L-1 splines
Wang, Y., Fang, S. C., & Lavery, J. E. (2007), Journal of Computational and Applied Mathematics, 201(1), 69–87. https://doi.org/10.1016/j.cam.2006.02.005
A reduced Hsieh-Clough-Tocher element with splitting based on an arbitrary interior point
Peker, A. S., Lavery, J. E., & Fang, S. C. (2007), Journal of Mathematical Analysis and Applications, 333(1), 500–504. https://doi.org/10.1016/j.jmaa.2006.12.030
A tabu search algorithm for maximum parsimony phylogeny inference
Lin, Y. M., Fang, S. C., & Thorne, J. L. (2007), European Journal of Operational Research, 176(3), 1908–1917. https://doi.org/10.1016/j.ejor.2005.10.031
Capacity allocation with traditional and Internet channels
Dai, Y., Chao, X. L., Fang, S. C., & Nuttle, H. L. W. (2006), Naval Research Logistics, 53(8), 772–787. https://doi.org/10.1002/nav.20168
Constructing generalized mean functions using convex functions with regularity conditions
Zhao, Y. B., Fang, S. C., & Li, D. (2006), SIAM Journal on Optimization, 17(1), 37–51. https://doi.org/10.1137/040603838
Game theoretic analysis of a distribution system with customer market search
Dai, Y., Chao, X. L., Fang, S. C., & Nuttle, H. L. W. (2005), Annals of Operations Research, 135(1), 223–238. https://doi.org/10.1007/s10479-005-6243-7
On the finite termination of an entropy function based non-interior continuation method for vertical linear complementarity problems
Fang, S. C., Han, J. Y., Huang, Z. H., & Birbil, S. I. (2005), Journal of Global Optimization, 33(3), 369–391. https://doi.org/10.1007/s10898-004-6098-5
Pricing in revenue management for multiple firms competing for customers
Dai, Y., Chao, X. L., Fang, S. C., & Nuttle, H. L. W. (2005), International Journal of Production Economics, 98(1), 16–.
Shape-preserving properties of univariate cubic L-1 splines
Cheng, H., Fang, S. C., & Lavery, J. E. (2005), Journal of Computational and Applied Mathematics, 174(2), 361–382. https://doi.org/10.1016/j.cam.2004.05.003
A geometric programming approach for bivariate cubic L-1 splines
Wang, Y., & Fang, S. C. (2005), Computers & Mathematics With Applications, 49(4), 481–514.
A geometric programming framework for univariate cubic L-1 smoothing splines
Cheng, H., Fang, S. C., & Lavery, J. E. (2005), Annals of Operations Research, 133(03-Jan), 229–248. https://doi.org/10.1007/s10479-004-5035-9
Fuzzy formulation of auctions and optimal sequencing for multiple auctions
Fang, S. C., Nuttle, H. W. L., & Wang, D. W. (2004), Fuzzy Sets and Systems, 142(3), 421–441. https://doi.org/10.1016/S0165-0114(03)00127-1
On the convergence of a population-based global optimization algorithm
Birbil, S. I., Fang, S. C., & Sheu, R. L. (2004), Journal of Global Optimization, 30(03-Feb), 301–318. https://doi.org/10.1007/s10898-004-8270-3
Recursive approximation of the high dimensional max function
Birbil, S. I., Fang, S. C., Frenk, J. B. G., & Zhang, S. (2004), Operations Research Letters, 33(5), 450–458. https://doi.org/10.1016/j.orl.2004.11.004
Solvability of variational inequality problems
Han, J., Huang, Z. H., & Fang, S. C. (2004), Journal of Optimization Theory and Applications, 122(3), 501–520. https://doi.org/10.1023/B:JOTA.0000042593.74934.b7
Special issue on the International Conference on Optimization and Optimal Control (ICOOC), June 1-4, 2001 - Foreword
Wu, S. Y., & Fang, S. C. (2004), Journal of Global Optimization, 30(03-Feb), 119–120.
A neural network model with bounded-weights for pattern classification
Liao, Y., Fang, S. C., & Nuttle, H. L. W. (2004), Computers & Operations Research, 31(9), 1411–1426. https://doi.org/10.1016/S0305-0548(03)00097-2
An efficient algorithm for generating univariate cubic L-1 splines
Cheng, H., Fang, S. C., & Lavery, J. E. (2004), Computational Optimization and Applications, 29(2), 219–253. https://doi.org/10.1023/B:COAP.0000042031.03626.1b
An entropic regularization approach for mathematical programs with equilibrium constraints
Birbil, S. I., Fang, S. C., & Han, J. Y. (2004), Computers & Operations Research, 31(13), 2249–2262. https://doi.org/10.1016/S0305-0548(03)00176-X
An analytic center cutting plane method for solving semi-infinite variational inequality problems
Fang, S. C., Wu, S. Y., & Sun, J. (2004), Journal of Global Optimization, 28(2), 141–152. https://doi.org/10.1023/B:JOGO.0000015308.49676.ea
Fuzzy data envelopment analysis (DEA): a possibility approach
Lertworasirikul, S., Fang, S. C., Joines, J. A., & Nuttle, H. L. W. (2003), Fuzzy Sets and Systems, 139(2), 379–394. https://doi.org/10.1016/S0165-0114(02)00484-0
Manufacturing network flows: A generalized network flow model for manufacturing process modelling
Fang, S. C., & Qi, L. Q. (2003), Optimization Methods & Software, 18(2), 143–165. https://doi.org/10.1080/1055678031000152079
Relaxed conditions for radial-basis function networks to be universal approximators
Liao, Y., Fang, S. C., & Nuttle, H. L. W. (2003), Neural Networks, 16(7), 1019–1028. https://doi.org/10.1016/S0893-6080(02)00227-7
A genetic-based framework for solving (multi-criteria) weighted matching problems
Medaglia, A. L., & Fang, S. C. (2003), European Journal of Operational Research, 149(1), 77–101. https://doi.org/10.1016/S0377-2217(02)00484-8
An enhanced neural network learning using a self-tuning fuzzy neuron controller
Wu, P., Fang, S. C., & Nuttle, H. L. W. (2003), Journal of Intelligent & Fuzzy Systems, 14(2), 109–118.
An electromagnetism-like mechanism for global optimization
Birbil, S. I., & Fang, S. C. (2003), Journal of Global Optimization, 25(3), 263–282. https://doi.org/10.1023/A:1022452626305
Efficient neural network learning using second order information with fuzzy control
Wu, P. S., Fang, S. C., & Nuttle, H. L. W. (2002), Neurocomputing, 43(2002 Mar), 197–217. https://doi.org/10.1016/S0925-2312(01)00336-8
Entropic perturbation method for solving a system of linear inequalities
Chen, S. H., Fang, S. C., & Tsao, H. S. J. (2002), Journal of Computational and Applied Mathematics, 145(1), 133–149. https://doi.org/10.1016/S0377-0427(01)00540-4
Fuzzy controlled simulation optimization
Medaglia, A. L., Fang, S. C., & Nuttle, H. L. W. (2002), Fuzzy Sets and Systems, 127(1), 65–84. https://doi.org/10.1016/S0165-0114(01)00153-1
Multi-objective optimization problems with fuzzy relation equation constraints
Loetamonphong, H., Fang, S. C., & Young, R. E. (2002), Fuzzy Sets and Systems, 127(2), 141–164. https://doi.org/10.1016/S0165-0114(01)00052-5
Univariate cubic L-1 splines - A geometric programming approach
Cheng, H., Fang, S. C., & Lavery, J. E. (2002), Mathematical Methods of Operations Research, 56(2), 197–229. https://doi.org/10.1007/s001860200216
An efficient and flexible mechanism for constructing membership functions
Medaglia, A. L., Fang, S. C., Nuttle, H. L. W., & Wilson, J. R. (2002), European Journal of Operational Research, 139(1), 84–95. https://doi.org/10.1016/S0377-2217(01)00157-6
Optimization of fuzzy relation equations with max-product composition
Loetamonphong, J., & Fang, S. C. (2001), Fuzzy Sets and Systems, 118(3), 509–517. https://doi.org/10.1016/S0165-0114(98)00417-5
Solving general capacity problem by relaxed cutting plane approach
Wu, S. Y., Fang, S. C., & Lin, C. J. (2001), Annals of Operations Research, 103(2001), 193–211. https://doi.org/10.1023/A:1012907206299
Solving nonlinear optimization problems with fuzzy relation equation constraints
Lu, J. J., & Fang, S. C. (2001), Fuzzy Sets and Systems, 119(1), 1–20. https://doi.org/10.1016/S0165-0114(98)00471-0
Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme
Fang, S. C., Lin, C. J., & Wu, S. Y. (2001), Journal of Computational and Applied Mathematics, 129(1-2), 89–104. https://doi.org/10.1016/S0377-0427(00)00544-6
Untitled - Foreword
Scott, C., & Fang, S. C. (2001), Annals of Operations Research, 105(2001), 13–14.
Neurocomputing with time delay analysis for solving convex quadratic programming problems
Chen, Y. H., & Fang, S. C. (2000), IEEE Transactions on Neural Networks, 11(1), 230–240. https://doi.org/10.1109/72.822526
Simulation Modeling of the textile supply chain - Part 1: The textile-plant models
Nuttle, H. L. W., King, R. E., Hunter, N. A., Wilson, J. R., & Fang, S. C. (2000), Journal of the Textile Institute, 91(1), 35–50. https://doi.org/10.1080/00405000008659526
Simulation Modeling of the textile supply chain - Part II: Results and research directions
Nuttle, H. L. W., King, R. E., Fang, S. C., Wilson, J. R., & Hunter, N. A. (2000), Journal of the Textile Institute, 91(1), 51–64. https://doi.org/10.1080/00405000008659527
Solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions
Hu, C.-F., & Fang, S.-C. (2000), Computers & Mathematics With Applications, 40(6-7), 721–733. https://doi.org/10.1016/S0898-1221(00)00191-7
Linear programming with fuzzy coefficients in constraints
Fang, S. C., Hu, C. F., Wang, H. F., & Wu, S. Y. (1999), Computers & Mathematics With Applications, 37(10), 63–76. https://doi.org/10.1016/S0898-1221(99)00126-1
Sequencing parallel machining operations by genetic algorithms
Chiu, N. C., Fang, S. C., & Lee, Y. S. (1999), Computers & Industrial Engineering, 36(2), 259–280. https://doi.org/10.1016/S0360-8352(99)00132-1
Soft computing for multicustomer due-date bargaining
Wang, D. W., Fang, S. C., & Nuttle, H. L. W. (1999), IEEE Transactions on Systems, Man, and Cybernetics. Part C, Applications and Reviews, 29(4), 566–575. https://doi.org/10.1109/5326.798770
Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method
Wu, S. Y., & Fang, S. C. (1999), Computers & Mathematics With Applications, 38(3-4), 23–33. https://doi.org/10.1016/S0898-1221(99)00203-5
Solving fuzzy inequalities with piecewise linear membership functions
Hu, C.-F., & Fang, S.-C. (1999), IEEE Transactions on Fuzzy Systems, 7(2), 230–235. https://doi.org/10.1109/91.755403
Solving fuzzy relation equations with a linear objective function
Fang, S. C., & Li, G. Z. (1999), Fuzzy Sets and Systems, 103(1), 107–113. https://doi.org/10.1016/S0165-0114(97)00184-X
A relaxed cutting plane algorithm for solving fuzzy inequality systems
Hu, C.-F., & Fang, S.-C. (1999), Optimization, 45(1-4), 89–106.
An efficient solution procedure for fuzzy relation equations with max-product composition
Loetamonphong, J., & Fang, S. C. (1999), IEEE Transactions on Fuzzy Systems, 7(4), 441–445. https://doi.org/10.1109/91.784204
Optimal cutter selection and machining plane determination for process planning and NC machining of complex surfaces
Chen, Y. H., Lee, Y. S., & Fang, S. C. (1998), Journal of Manufacturing Systems, 17(5), 371–388. https://doi.org/10.1016/S0278-6125(98)80004-6
Quantitative management techniques and application in Taiwan
Fang, S. C., & Kao, C. (1998), International Journal of Operations and Quantitative Management, 4(3).
Relaxed cutting plane method for solving linear semi-infinite programming problems
Wu, S. Y., Fang, S. C., & Lin, C. J. (1998), Journal of Optimization Theory and Applications, 99(3), 759–779. https://doi.org/10.1023/A:1021763419562
Solving convex programming problems with equality constraints by neural networks
Chen, Y. H., & Fang, S. C. (1998), Computers & Mathematics With Applications, 36(7), 41–68. https://doi.org/10.1016/S0898-1221(98)00172-2
Solving fuzzy inequalities with concave membership functions
Hu, C.-F., & Fang, S.-C. (1998), Fuzzy Sets and Systems, 99(2), 233–240. https://doi.org/10.1016/S0165-0114(97)00013-4
Solving interval-valued fuzzy relation equations
Li, G. Z., & Fang, S.-C. (1998), IEEE Transactions on Fuzzy Systems, 6(2), 321–324. https://doi.org/10.1109/91.669033
A fuzzy due-date bargainer for the make-to-order manufacturing systems
Wang, D. W., Fang, S. C., & Hodgson, T. J. (1998), IEEE Transactions on Systems, Man, and Cybernetics. Part C, Applications and Reviews, 28(3), 492–497. https://doi.org/10.1109/5326.704596
A global-filtering algorithm for linear programming problems with stochastic elements
Guan, S. H., & Fang, S.-C. (1998), Mathematical Methods of Operations Research, 48(3), 287–316. https://doi.org/10.1007/s001860050029
An unconstrained convex programming approach to linear semi infinite programming
Lin, C. J., Fang, S.-C., & Wu, S. Y. (1998), SIAM Journal on Optimization, 8(2), 443–456. https://doi.org/10.1137/S105262349427621X
Linear programming with stochastic elements: An on-line approach
Guan, S. H., & Fang, S.-C. (1997), Computers & Mathematics With Applications, 33(9), 61–82. https://doi.org/10.1016/S0898-1221(97)00066-7
On the entropic regularization method for solving min-max problems with applications
Li, X. S., & Fang, S. C. (1997), Mathematical Methods of Operations Research, 46(1), 119–130. https://doi.org/10.1007/BF01199466
Perturbing the dual feasible region for solving convex quadratic programs
Fang, S.-C., & Tsao, H. S. J. (1997), Journal of Optimization Theory and Applications, 94(1), 73–85. https://doi.org/10.1023/A:1022655502360
A fuzzy expert system model for RF receiver module testing
Lu, J.-J., Brinkley, P., & Fang, S.-C. (1997), International Journal of Systems Science, 28(8), 791–798.
A genetics-based approach for aggregated production planning in a fuzzy environment
Wang, D. W., & Fang, S.-C. (1997), IEEE Transactions on Systems, Man, and Cybernetics. Part A, Systems and Humans, 27(5), 636–645. https://doi.org/10.1109/3468.618262
A global-filtering algorithm for linear programming problems with stochastic elements
Wang, D. W., & Fang, S. C. (1997), IEEE Transactions on Systems, Man, and Cybernetics. Part A, Systems and Humans, 27(5), 636–645.
A maximum entropy optimization approach to tandem queues with generalized blocking: Part I - Infinite demand
Mishra, S., & Fang, S.-C. (1997), Performance Evaluation, 30(4), 217–241. https://doi.org/10.1016/S0166-5316(96)00061-2
The point-to-point connection problem: Analysis and algorithms
Natu, M., & Fang, S.-C. (1997), Discrete Applied Mathematics [Amsterdam, Netherlands], 78(1-3), 207–226.

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