Shu-Cherng Fang

University Alumni Distinguished Graduate Professor

Walter Clark Chair

919-515-2192
fang@ncsu.edu
450 Daniels Hall
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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

Fellow, Chinese Institute of Industrial Engineers, 2015
Outstanding Alumnus Award - College of Science, National Tsing Hua University, Taiwan, ROC, 2007
University Distinguished Graduate Professorship Award, NC State University, 2005
Fellow, Institute of Industrial Engineers, 2002
R. J. Reynolds Award for Excellency in Teaching, Research, and Extension - NC State University, 2001
Jackson Rigney International Service Award - N C State University, 2001
University Outstanding Research Award - NC State University, 1988
Corporate Special Merit Award - AT&T Corporate Headquarters, 1987
Exceptional Contribution Award - AT&T Bell Laboratories, 1986
Corporate Technical Achievement Award - AT&T Technologies, 1984

Publications

A proximal quadratic surface support vector machine for semi-supervised binary classification: Yan, Xin and Bai, Yanqin and Fang, Shu-Cherng and Luo, Jian (2018), SOFT COMPUTING, 22(20), 6905-6919.
Argument division based branch-and-bound algorithm for unit-modulus constrained complex quadratic programming: Lu, C. and Deng, Z. B. and Zhang, W. Q. and Fang, S. C. (2018), Journal of Global Optimization, 70(1), 171-187.
Core of the reinsurance market with dependent risks: Zhang, J. H. and Fang, S. C. and 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. and Fang, S. C. and Li, H. L. and 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. and Cao, B. Y. and Fang, S. C. and Yang, X. P. (2018), Discrete Dynamics in Nature and Society, (), .
Inventory centralization with risk-averse newsvendors: Zhang, Jiahua and Fang, Shu-Cherng and Xu, Yifan (2018), ANNALS OF OPERATIONS RESEARCH, 268(1-2), 215-237.
Reverse auctions with regret-anticipated bidders: Qian, Xiaohu and Fang, Shu-Cherng and Huang, Min and An, Qi and Wang, Xingwei (2018), ANNALS OF OPERATIONS RESEARCH, 268(1-2), 293-313.
A branch-and-cut algorithm using polar cuts for solving nonconvex quadratic programming problems: Deng, Z. B. and Fang, S. C. and Lu, C. and 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. and Gibaru, O. and Nyiri, E. and Fang, S. C. (2017), Numerical Algorithms, 75(3), 827-843.
Conic approximation to quadratic optimization with linear complementarity constraints: Zhou, J. and Fang, S. C. and 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. and Gao, D. Y. and Lin, G. X. and Sheu, R. L. and 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. and Sheu, R. L. and Fang, S. C. and 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. and Huang, Y. H. and 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. and Fang, S. C. and Huang, Y. S. and 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. and Cho, H. J. and Fang, S. C. (2017), Journal of Industrial and Management Optimization, 13(2), 1065-1084.
A cooperative game with envy: Zhang, J. H. and Fang, S. C. and Xu, Y. F. and 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. and Fang, S. and Deng, Z. B. and 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. and Fang, S. C. and Bai, Y. Q. and 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. and Fang, S. C. and Deng, Z. B. and Lavery, J. E. (2016), Optimization Methods & Software, 31(4), 737-754.
Reformulations for project portfolio selection problem considering interdependence and cardinality: Li, X. M. and Huang, Y. H. and Fang, S. C. and Deng, Z. B. (2016), Pacific Journal of Optimization, 12(2), 355-366.
Soft quadratic surface support vector machine for binary classification: Luo, J. and Fang, S. C. and Deng, Z. B. and 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. and Qian, X. H. and Fang, S. C. and Wang, X. W. (2016), Omega, 59(), 184-200.
A kernel-free quadratic surface support vector machine for semi-supervised learning: Yan, X. and Bai, Y. Q. and Fang, S. C. and 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. and Fang, S. C. and Huang, Y. H. and 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. and Fang, S. C. and Guo, X. L. and Deng, Z. B. and 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. and Fang, S. C. and Sheu, R. L. and 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. and Fang, S. C. and Jin, Q. W. and 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. and Fang, S. C. and Tian, Y. and 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. and Fang, S. C. and 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. and 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. and Jin, Q. W. and Fang, S. C. and Wang, Z. B. and Xing, W. X. (2014), Optimization, 63(6), 955-980.
Detection of a copositive matrix over a p-th order cone: Zhou, J. and Deng, Z. B. and Fang, S. C. and 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. and Fang, S. C. and Han, J. Y. and Xiu, N. H. (2014), Optimization, 63(6), 827-828.
Non-L-R type fuzzy parameters in mathematical programming problems: Hu, C. F. and Adivar, M. and Fang, S. C. (2014), IEEE Transactions on Fuzzy Systems, 22(5), 1062-1073.
Quadratic optimization over one first-order cone: Guo, X. L. and Deng, Z. B. and Fang, S. C. and Xing, W. X. (2014), Journal of Industrial and Management Optimization, 10(3), 945-963.
Solving conic quadratically constrained quadratic programming problems: Jin, Q. W. and Fang, S. C. and Lu, C. and 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. and Deng, Z. B. and Bulatov, D. and Lavery, J. E. and Fang, S. C. (2013), Proceedings of SPIE-the International Society for Optical Engineering, 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. and Fang, S. C. and Deng, Z. B. and 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. and Fang, S. C. and Jin, Q. W. and Xing, W. X. (2013), European Journal of Operational Research, 229(1), 21-28.
On constraint qualifications: motivation, design and inter-relations: Wang, Z. T. and Fang, S. C. and 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. and Fang, S. C. and Fang, W. W. and Han, J. Y. and 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. and Fang, S. C. and Fan, Z. P. and 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. and Fang, S. C. and Zhang, X. (2013), 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. and Bai, Y. Q. and Fang, S. C. and Tian, Y. and 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. and Huang, Y. H. and 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. and Fang, S. C. and Wu, S. Y. (2013), Science China-Mathematics, 56(1), 201-211.
Canonical dual approach to solving the maximum cut problem: Wang, Z. B. and Fang, S. C. and Gao, D. Y. and Xing, W. X. (2012), Journal of Global Optimization, 54(2), 341-351.
Convex optimization on mixed domains: Adivar, M. and 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. and Fang, S. C. and 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. and Fang, S. C. and Olson, D. L. and Birge, J. R. (2012), Optimization, 61(10), 1175-1177.
Randomly generating test problems for fuzzy relational equations: Hu, C. F. and 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. and Yu, L. and Lavery, J. E. and 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. and Fang, S. C. and Sheu, R. L. and Wang, Z. T. (2012), European Journal of Operational Research, 218(1), 21-27.
A tropical cyclone-based method for global optimization: Chao, C. W. and Fang, S. C. and 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. and Charnsethikul, P. and 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. and Fang, S. C. and Jin, Q. W. and Wang, Z. B. and Xing, W. X. (2011), SIAM Journal on Optimization, 21(4), 1475-1490.
On the unique solvability of fuzzy relational equations: Li, P. K. and 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. and Fang, S. C. (2011), Fuzzy Optimization and Decision Making, 10(2), 125-152.
A selfish routing based network improvement problem: Zhang, B. W. and 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. and Wu, S. Y. and 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. and Wang, Z. B. and Xing, W. X. and 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. and Fang, S. C. and Xing, W. X. (2010), Optimization, 59(8), 1139-1151.
Two-group knapsack game: Wang, Z. B. and Xing, W. X. and Fang, S. C. (2010), Theoretical Computer Science, 411(7-9), 1094-1103.
Two-person knapsack game: Wang, Z. B. and Xing, W. X. and 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. and Lin, J. T. and Fang, S. C. (2010), Journal of Industrial and Management Optimization, 6(1), 209-239.
Global optimization for a class of fractional programming problems: Fang, S. C. and Gao, D. Y. and Sheu, R. L. and Xing, W. X. (2009), Journal of Global Optimization, 45(3), 337-353.
Minimizing a linear fractional function subject to a system of sup-T equations with a continuous Archimedean triangular norm: Li, P. K. and Fang, S. C. (2009), Journal of Systems Science & Complexity, 22(1), 49-62.
Robust univariate cubic L-2 spines: Interpolating data with uncertain positions of measurements: Averbakh, I. and Fang, S. C. and Zhao, Y. B. (2009), Journal of Industrial and Management Optimization, 5(2), 351-361.
A note on solution sets of interval-valued fuzzy relational equations: Li, P. and 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. and Fang, S. C. and Lavery, J. E. and Lin, J. Y. and Wang, Y. (2008), European Journal of Operational Research, 184(3), 990-1004.
Canonical dual approach to solving 0-1 quadratic programming problems: Fang, S. C. and Gao, D. Y. and Sheu, R. L. and 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. and Fang, S. C. and Lavery, J. E. (2008), Journal of Global Optimization, 40(4), 589-621.
Global extremal conditions for multi-integer quadratic programming: Wang, Z. B. and Fang, S. C. and Gao, D. Y. and 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. and 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. and Fang, S. C. and Ling, X. L. and Nuttle, H. L. W. (2008), Mathematical Methods of Operations Research, 67(3), 391-421.
A new tunnel function method for global optimization: Zhang, L. S. and Fang, S. C. and Wang, Y. (2008), Pacific Journal of Optimization, 4(1), 125-138.
Fuzzy optimization and decision making (vol 2, pg 41, 2003): Wang, S. and Fang, S. C. and Nuttle, H. L. W. (2007), Fuzzy Optimization and Decision Making, 6(3), 297-297.
Fuzzy optimization and decision making (vol 4, pg 331, 2005): Wang, S. and Fang, S. C. and Nuttle, H. L. W. (2007), Fuzzy Optimization and Decision Making, 6(3), 297-297.
Solving variational inequalities defined on a domain with infinitely many linear constraints: Fang, S. C. and Wu, S. and Birbil, S. I. (2007), Computational Optimization and Applications, 37(1), 67-81.
A compressed primal-dual method for generating bivariate. cubic L-1 splines: Wang, Y. and Fang, S. C. and Lavery, J. E. (2007), Journal of Computational and Applied Mathematics, 201(1), 69-87.
A reduced Hsieh-Clough-Tocher element with splitting based on an arbitrary interior point: Peker, A. S. and Lavery, J. E. and Fang, S. C. (2007), Journal of Mathematical Analysis and Applications, 333(1), 500-504.
A tabu search algorithm for maximum parsimony phylogeny inference: Lin, Y. M. and Fang, S. C. and Thorne, J. L. (2007), European Journal of Operational Research, 176(3), 1908-1917.
Capacity allocation with traditional and Internet channels: Dai, Y. and Chao, X. L. and Fang, S. C. and Nuttle, H. L. W. (2006), Naval Research Logistics, 53(8), 772-787.
Constructing generalized mean functions using convex functions with regularity conditions: Zhao, Y. B. and Fang, S. C. and Li, D. (2006), SIAM Journal on Optimization, 17(1), 37-51.
Game theoretic analysis of a distribution system with customer market search: Dai, Y. and Chao, X. L. and Fang, S. C. and Nuttle, H. L. W. (2005), Annals of Operations Research, 135(1), 223-238.
On the finite termination of an entropy function based non-interior continuation method for vertical linear complementarity problems: Fang, S. C. and Han, J. Y. and Huang, Z. H. and Birbil, S. I. (2005), Journal of Global Optimization, 33(3), 369-391.
Pricing in revenue management for multiple firms competing for customers: Dai, Y. and Chao, X. L. and Fang, S. C. and Nuttle, H. L. W. (2005), International Journal of Production Economics, 98(1), 16-.
Shape-preserving properties of univariate cubic L-1 splines: Cheng, H. and Fang, S. C. and Lavery, J. E. (2005), Journal of Computational and Applied Mathematics, 174(2), 361-382.
A geometric programming approach for bivariate cubic L-1 splines: Wang, Y. and 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. and Fang, S. C. and Lavery, J. E. (2005), Annals of Operations Research, 133(03-Jan), 229-248.
Fuzzy formulation of auctions and optimal sequencing for multiple auctions: Fang, S. C. and Nuttle, H. W. L. and Wang, D. W. (2004), Fuzzy Sets and Systems, 142(3), 421-441.
On the convergence of a population-based global optimization algorithm: Birbil, S. I. and Fang, S. C. and Sheu, R. L. (2004), Journal of Global Optimization, 30(03-Feb), 301-318.
Recursive approximation of the high dimensional max function: Birbil, S. I. and Fang, S. C. and Frenk, J. B. G. and Zhang, S. (2004), Operations Research Letters, 33(5), 450-458.
Solvability of variational inequality problems: Han, J. and Huang, Z. H. and Fang, S. C. (2004), Journal of Optimization Theory and Applications, 122(3), 501-520.
Special issue on the International Conference on Optimization and Optimal Control (ICOOC), June 1-4, 2001 - Foreword: Wu, S. Y. and 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. and Fang, S. C. and Nuttle, H. L. W. (2004), Computers & Operations Research, 31(9), 1411-1426.
An efficient algorithm for generating univariate cubic L-1 splines: Cheng, H. and Fang, S. C. and Lavery, J. E. (2004), Computational Optimization and Applications, 29(2), 219-253.
An entropic regularization approach for mathematical programs with equilibrium constraints: Birbil, S. I. and Fang, S. C. and Han, J. Y. (2004), Computers & Operations Research, 31(13), 2249-2262.
An analytic center cutting plane method for solving semi-infinite variational inequality problems: Fang, S. C. and Wu, S. Y. and Sun, J. (2004), Journal of Global Optimization, 28(2), 141-152.
Fuzzy data envelopment analysis (DEA): a possibility approach: Lertworasirikul, S. and Fang, S. C. and Joines, J. A. and Nuttle, H. L. W. (2003), Fuzzy Sets and Systems, 139(2), 379-394.
Manufacturing network flows: A generalized network flow model for manufacturing process modelling: Fang, S. C. and Qi, L. Q. (2003), Optimization Methods & Software, 18(2), 143-165.
Relaxed conditions for radial-basis function networks to be universal approximators: Liao, Y. and Fang, S. C. and Nuttle, H. L. W. (2003), Neural Networks, 16(7), 1019-1028.
A genetic-based framework for solving (multi-criteria) weighted matching problems: Medaglia, A. L. and Fang, S. C. (2003), European Journal of Operational Research, 149(1), 77-101.
An enhanced neural network learning using a self-tuning fuzzy neuron controller: Wu, P. and Fang, S. C. and Nuttle, H. L. W. (2003), Journal of Intelligent & Fuzzy Systems, 14(2), 109-118.
An electromagnetism-like mechanism for global optimization: Birbil, S. I. and Fang, S. C. (2003), Journal of Global Optimization, 25(3), 263-282.
Efficient neural network learning using second order information with fuzzy control: Wu, P. S. and Fang, S. C. and Nuttle, H. L. W. (2002), Neurocomputing, 43(2002 Mar), 197-217.
Entropic perturbation method for solving a system of linear inequalities: Chen, S. H. and Fang, S. C. and Tsao, H. S. J. (2002), Journal of Computational and Applied Mathematics, 145(1), 133-149.
Fuzzy controlled simulation optimization: Medaglia, A. L. and Fang, S. C. and Nuttle, H. L. W. (2002), Fuzzy Sets and Systems, 127(1), 65-84.
Multi-objective optimization problems with fuzzy relation equation constraints: Loetamonphong, H. and Fang, S. C. and Young, R. E. (2002), Fuzzy Sets and Systems, 127(2), 141-164.
Univariate cubic L-1 splines - A geometric programming approach: Cheng, H. and Fang, S. C. and Lavery, J. E. (2002), Mathematical Methods of Operations Research, 56(2), 197-229.
An efficient and flexible mechanism for constructing membership functions: Medaglia, A. L. and Fang, S. C. and Nuttle, H. L. W. and Wilson, J. R. (2002), European Journal of Operational Research, 139(1), 84-95.
Optimization of fuzzy relation equations with max-product composition: Loetamonphong, J. and Fang, S. C. (2001), Fuzzy Sets and Systems, 118(3), 509-517.
Solving general capacity problem by relaxed cutting plane approach: Wu, S. Y. and Fang, S. C. and Lin, C. J. (2001), Annals of Operations Research, 103(2001), 193-211.
Solving nonlinear optimization problems with fuzzy relation equation constraints: Lu, J. J. and Fang, S. C. (2001), Fuzzy Sets and Systems, 119(1), 1-20.
Solving quadratic semi-infinite programming problems by using relaxed cutting-plane scheme: Fang, S. C. and Lin, C. J. and Wu, S. Y. (2001), Journal of Computational and Applied Mathematics, 129(1-2), 89-104.
Untitled - Foreword: Scott, C. and 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. and Fang, S. C. (2000), IEEE Transactions on Neural Networks, 11(1), 230-240.
Simulation Modeling of the textile supply chain - Part 1: The textile-plant models: Nuttle, H. L. W. and King, R. E. and Hunter, N. A. and Wilson, J. R. and Fang, S. C. (2000), Journal of the Textile Institute, 91(1), 35-50.
Simulation Modeling of the textile supply chain - Part II: Results and research directions: Nuttle, H. L. W. and King, R. E. and Fang, S. C. and Wilson, J. R. and Hunter, N. A. (2000), Journal of the Textile Institute, 91(1), 51-64.
Solving a system of infinitely many fuzzy inequalities with piecewise linear membership functions: Hu, C.-F. and Fang, S.-C. (2000), Computers & Mathematics With Applications, 40(6-7), 721-733.
Linear programming with fuzzy coefficients in constraints: Fang, S. C. and Hu, C. F. and Wang, H. F. and Wu, S. Y. (1999), Computers & Mathematics With Applications, 37(10), 63-76.
Sequencing parallel machining operations by genetic algorithms: Chiu, N. C. and Fang, S. C. and Lee, Y. S. (1999), Computers & Industrial Engineering, 36(2), 259-280.
Soft computing for multicustomer due-date bargaining: Wang, D. W. and Fang, S. C. and Nuttle, H. L. W. (1999), IEEE Transactions on Systems, Man, and Cybernetics. Part C, Applications and Reviews, 29(4), 566-575.
Solving convex programs with infinitely many linear constraints by a relaxed cutting plane method: Wu, S. Y. and Fang, S. C. (1999), Computers & Mathematics With Applications, 38(3-4), 23-33.
Solving fuzzy inequalities with piecewise linear membership functions: Hu, C.-F. and Fang, S.-C. (1999), IEEE Transactions on Fuzzy Systems, 7(2), 230-235.
Solving fuzzy relation equations with a linear objective function: Fang, S. C. and Li, G. Z. (1999), Fuzzy Sets and Systems, 103(1), 107-113.
A relaxed cutting plane algorithm for solving fuzzy inequality systems: Hu, C.-F. and Fang, S.-C. (1999), Optimization, 45(1-4), 89-106.
An efficient solution procedure for fuzzy relation equations with max-product composition: Loetamonphong, J. and Fang, S. C. (1999), IEEE Transactions on Fuzzy Systems, 7(4), 441-445.
Optimal cutter selection and machining plane determination for process planning and NC machining of complex surfaces: Chen, Y. H. and Lee, Y. S. and Fang, S. C. (1998), Journal of Manufacturing Systems, 17(5), 371-388.
Quantitative management techniques and application in Taiwan: Fang, S. C. and 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. and Fang, S. C. and Lin, C. J. (1998), Journal of Optimization Theory and Applications, 99(3), 759-779.
Solving convex programming problems with equality constraints by neural networks: Chen, Y. H. and Fang, S. C. (1998), Computers & Mathematics With Applications, 36(7), 41-68.
Solving fuzzy inequalities with concave membership functions: Hu, C.-F. and Fang, S.-C. (1998), Fuzzy Sets and Systems, 99(2), 233-240.
Solving interval-valued fuzzy relation equations: Li, G. Z. and Fang, S.-C. (1998), IEEE Transactions on Fuzzy Systems, 6(2), 321-324.
A fuzzy due-date bargainer for the make-to-order manufacturing systems: Wang, D. W. and Fang, S. C. and Hodgson, T. J. (1998), IEEE Transactions on Systems, Man, and Cybernetics. Part C, Applications and Reviews, 28(3), 492-497.
A global-filtering algorithm for linear programming problems with stochastic elements: Guan, S. H. and Fang, S.-C. (1998), Mathematical Methods of Operations Research, 48(3), 287-316.
An unconstrained convex programming approach to linear semi infinite programming: Lin, C. J. and Fang, S.-C. and Wu, S. Y. (1998), SIAM Journal on Optimization, 8(2), 443-456.
Linear programming with stochastic elements: An on-line approach: Guan, S. H. and Fang, S.-C. (1997), Computers & Mathematics With Applications, 33(9), 61-82.
On the entropic regularization method for solving min-max problems with applications: Li, X. S. and Fang, S. C. (1997), Mathematical Methods of Operations Research, 46(1), 119-130.
Perturbing the dual feasible region for solving convex quadratic programs: Fang, S.-C. and Tsao, H. S. J. (1997), Journal of Optimization Theory and Applications, 94(1), 73-85.
A fuzzy expert system model for RF receiver module testing: Lu, J.-J. and Brinkley, P. and 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. and Fang, S.-C. (1997), IEEE Transactions on Systems, Man, and Cybernetics. Part A, Systems and Humans, 27(5), 636-645.
A global-filtering algorithm for linear programming problems with stochastic elements: Wang, D. W. and 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. and Fang, S.-C. (1997), Performance Evaluation, 30(4), 217-241.
The point-to-point connection problem: Analysis and algorithms: Natu, M. and Fang, S.-C. (1997), Discrete Applied Mathematics [Amsterdam, Netherlands], 78(1-3), 207-226.

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Edward P. Fitts Department of Industrial & Systems Engineering