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Bill Corley

Name

[Corley, Bill]
  • Professor, Industrial,Manufacturing,&Systems Engineering

Biography

Dr. Corley has worked for both aerospace divisions of IBM and McDonnell Douglas in the Cape Kennedy area, after which he obtained a Ph.D. in systems engineering from  the University of Florida and later a Ph.D. in mathematics from UTA. His expertise includes optimization, decision theory, statistics, network analysis, game theory, fuzzy sets, and stochastic processes, as well as discrete and abstract mathematics. He has developed abstract optimization theories for set-valued functions and for functions whose variables are sets. He has defined the notion of multivariate order statistics, discovered a general family of recursive probability distributions subsuming various standard discrete ones, and established a new type of hybrid fixed-point theorem. He has studied games with vector payoffs, applied multiple criteria to network analysis, and contributed to the theory of fuzzy logic, including the validity of deduction over time. In addition, he has modeled connectivity in scientific and social phenomena with the analytical construction of "small-world" networks. Other work in network theory has been utilized by the U.S. Department of Defense. He has recently developed some constraint selection techniques for linear programming, which appear to be the most efficient solution method for the large-scale problems needed to solve approximate linear models of nonlinear mathematical systems. In addition, he has defined new equilibria in game theory to address unresolved issues.

Professional Preparation

    • 1997 Ph.D. Mathematics University of Texas at Arlington
    • 1971 Ph.D. in Systems EngineeringThe University of Florida
    • 1968 M.S. in Information Science (theoretical computer science)Georgia Institute of Technology
    • 1966 B.S. in Electrical EngineeringGeorgia Institute of Technology

Appointments

    • Jan 1971 to Present Professor
      University of Texas at Arlington
    • Jan 1968 to Jan 1969 System Engineer
      McDonnell Douglas Astronautics Company
    • Jan 1966 to Jan 1967 Systems Engineer
      IBM, Federal Systems Division, Cape Canaveral, Florida

Memberships

  • Professional
    • Sept 1977 to Present Texas
  • Membership
    • Sept 2010 to Present IIE (Institute of Industrial Engineers)
    • Sept 2001 to Present ASCE (American Society for Engineering Education)
    • May 1972 to Present INFORMS (Institute for Operations Research and the Management Sciences)

Awards and Honors

    • Jun  2013 2011 UT System Regents’ Outstanding Teaching Award sponsored by The University of Texas System Board of Regents
    • Jun  2013 2006 - 2007 – UT Arlington Faculty Research Development Leave sponsored by University of Texas at Arlington
    • May  2013 2010 – membership in the UTA Academy of Distinguished Teachers sponsored by UTA Academy of Distinguished Teachers
    • May  2013 2005 – Lockheed Martin Award for Excellence in Teaching sponsored by

News Articles

    • Jan 2015 Research by IMSE Professors Solves Unsolvable Decision Problems

      A research paper by Industrial, Manufacturing and Systems Engineering professors Bill Corley and Jay Rosenberger has showed that an innovative method can be used to solve a broad class of real-world decision problems that had previously been unsolvable. The paper appeared January 15, 2015, in the journal Applied Mathematics and Computation and is available for download at ScienceDirect. Entitled “Constrained Optimal Selection Techniques (COSTs) for Nonnegative Linear Programming Problems,” it outlines how Corley and Rosenberger’s patented COST approach reduces the number of calculations in solving linear programming problems to obtain solutions many times faster than existing methods for large decision problems with huge numbers of mathematical variables and constraints. In particular, the COST approach can solve linear programming problems in minutes that are too large for the existing standard methods to solve at all.

Research and Expertise

  • Expertise

    Optimization

    Systems Modeling

    Decision Theory

    Statistics

    Network Analysis

    Game Theory

    Fuzzy Sets

    Stochastic Processes

    Discrete & Abstract Mathematics

    Research

    Dr. Corley's expertise includes optimization, decision theory, statistics, network analysis, game theory, fuzzy sets, and stochastic processes, as well as discrete and abstract mathematics. He has developed abstract optimization theories for set-valued functions and for functions whose variables are sets. He has defined the notion of multivariate order statistics, discovered a general family of recursive probability distributions subsuming various standard discrete ones, and established a new type of hybrid fixed-point theorem. He has studied games with vector payoffs, applied multiple criteria to network analysis, and contributed to the theory of fuzzy logic, including the validity of deduction over time. In addition, he has modeled connectivity in scientific and social phenomena with the analytical construction of "small-world" networks. Other work in network theory has been utilized by the U.S. Department of Defense.

    Dr. Corley has recently developed some constraint selection techniques for linear programming, which appear to be the most efficient solution method for the large-scale problems needed to solve approximate linear models of nonlinear mathematical systems. In addition, he has defined new equilibria in game theory to address current unresolved issues and to model certain phenomena in physics.

    Dr.Corley is co-founder of COSMOS (Center on Stochastic Modeling, Optimization, & Statistics). He also originated,  coordinated, and sponsored the annual Dirty Dozen Puzzle Scholarship Contest for engineering majors from 2000 - 2013.

Publications

      Journal Article 2015
      • An Algorithm for All Computing Berge Equilibria, H.W. Corley and Phantipa Kwain, Game Theory, Vol. 2015, 2015, 1-2.  

        {Journal Article} [Refereed/Juried]
      • 2015
        • Constraint Optimal Selection Techniques (COSTs) for Nonnegative Linear Programming Problems, Goh Saito, H.W. Corley, Jay Rosenberger, Alireza Noroziroshan, and T.-K. Sung, Applied Mathematics and Computation, Vol. 251, 2015, 586-598.

          {Journal Article} [Refereed/Juried]
        • 2015
          • A Dynamic Active-Set Method for Linear Programming, Alireza Noroziroshan, H.W. Corley, and Jay Rosenberger, American Journal of Operations Research, Vol. 5, 2015, No. 1, 526-535.

            {Journal Article} [Refereed/Juried]
          • 2015
            • A Mixed Cooperative Dual to the Nash Equilibrium, H.W. Corley, Game Theory, Vol. 2015, 2015, 1- 7.

              {Journal Article} [Refereed/Juried]

              Journal Article 2014
              • Divergence Behavior of the Successive Geometric Mean (SGM) Method of Pairwise Comparison Matrix Generation for a Multiple Stage, Multiple Objective Optimization Problem, P.K. Tarun, V. C. P. Chen, H. W. Corley, Journal of Multi-Criteria Decision Analysis, Vol. 21, 2014, 197-208.

                {Journal Article} [Refereed/Juried]
              • 2014
                • A Framework for Optimizing the Use of Systems Engineering on Proposals, Clement Smartt, Susan Ferreira, Jay Rosenberger and H.W. Corley, Procedia Computer Science, Vol. 28, 2014, 120-129.

                  {Journal Article} [Refereed/Juried]
                • 2014
                  • A Cooperative Dual to the Nash Equilibrium, H.W. Corley and Phantipa Kwain, Journal of Applied Mathematics, Vol. 2014, 2014, 1-4.

                    {Journal Article} [Refereed/Juried]
                  • 2014
                    • A Scalar Compromise Equilibrium for N-Person Games, H.W. Corley, Surachai Charoensri, Narakorn Engsuwan, Natural Science: Special Issue on Game Theory, Vol. 6, 2014, 1103-1107.

                      {Journal Article} [Refereed/Juried]

                      Conference Proceeding 2013
                      • Defining and Addressing the Risk of Undesirable Emergent Properties , S. Ferreira, M. Faezipour, and H.W. Corley, 2013 IEEE International Systems Conference (SysCon), Orlando, FL, 173-178, April, 2013.
                        {Conference Proceeding} [Refereed/Juried]

                      • Journal Article 2013
                        • Constraint Optimal Selection Techniques (COSTs) for Linear Programming, Goh Saito, H.W. Corley, and Jay Rosenberger, American Journal of Operations Research, Vol. 3, 2013, 53-64.

                          {Journal Article} [Refereed/Juried]

                          Book Chapter 2012
                          • 2012 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2012. Published (Book Chapter)
                            {Book Chapter} [Non-refereed/non-juried]

                          • Journal Article 2012
                            • Neural Network for Detecting Cyclic Behavior in Autocorrelated Processes, Ussanee Purintrapiban and H.W. Corley, Computers & Industrial Engineering, Vol. 62, 2012, 1093 – 1108.

                              {Journal Article} [Refereed/Juried]

                              Book Chapter 2011
                              • 2011 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2011. Book Chapter.
                                {Book Chapter} [Non-refereed/non-juried]

                              • Journal Article 2011
                                • Optimizing Selection of Technologies in a Multiple Stage, P.K. Tarun, V. C. P. Chen, H. W. Corley, and F. Jiang. Journal of Multi-Criteria Decision Analysis, Vol. 18, 2011, 115-142.
                                  {Journal Article} [Refereed/Juried]

                                  Book Chapter 2010
                                  • 2010 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2010. Book Chapter.
                                    {Book Chapter} [Non-refereed/non-juried]

                                    Book Chapter 2009
                                    • 2009 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2009. Book Chapter.
                                      {Book Chapter} [Refereed/Juried]

                                    • Conference Proceeding 2009
                                      • M. S. Sahni, H. W. Corley, and G. Bei. "Application of the HHI in a Probabilistic Framework for a Parametric Approach to Determine Possible Market Power," in Proceedings of the IEEE PES Power Systems Conference, 2009 (Seattle, WA, 2009), pp. 1-8.
                                        {Conference Proceeding} [Refereed/Juried]

                                      • Journal Article 2009
                                        • W. C. Yeh and H. W. Corley. "A Simple Direct Cosine Simplex Algorithm," Applied Mathematics and Computation, vol. 214, pp. 178-186, 2009.
                                          {Journal Article} [Refereed/Juried]
                                        • 2009
                                          • H. W. Corley and S. B. Kim. "A Recursive Family of Discrete Distributions with a Normality Conjecture," Oriental Journal of Mathematics, vol. 1, pp. 63-79, 2009.
                                            {Journal Article} [Refereed/Juried]

                                            Book Chapter 2008
                                            • 2008 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2008. Book Chapter.
                                              {Book Chapter} [Non-refereed/non-juried]

                                            • Conference Proceeding 2008
                                              • P. K. Tarun, V. C. P. Chen, and H. W. Corley. "Incorporating Decision Makers’ Inputs in a Dynamic Multistage Multiobjective Model," in Proceedings of the 2008 IE Research Conference (Vancouver, BC, Canada, 2008).
                                                {Conference Proceeding} [Refereed/Juried]

                                                Book Chapter 2007
                                                • 2007 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2007. Book Chapter.
                                                  {Book Chapter} [Non-refereed/non-juried]

                                                • Conference Proceeding 2007
                                                  • P. K. Tarun, V. C. P. Chen, and H. W. Corley. "A Dynamic Multiple Stage, Multiple Objective Optimization Model," in Proceedings of the 2007 IE Research Conference (Nashville, TN, 2007).
                                                    {Conference Proceeding} [Refereed/Juried]

                                                  • Technical Report 2007
                                                    • Chung, K. F., Corley, H. W., & Tarun, P. K. (2007). A Dynamic Programming Approach to the Design of Composite Aircraft Wings. The University of Texas at Arlington, Arlington, TX: COSMOS Technical Report 07-03.
                                                      {Technical Report} [Non-refereed/non-juried]

                                                      Book Chapter 2006
                                                      • 2006 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2006. Book Chapter.
                                                        {Book Chapter} [Non-refereed/non-juried]

                                                      • Journal Article 2006
                                                        • H. W. Corley, J. Rosenberger, T. K. Sung, and W. C. Yeh. "The Cosine Simplex Algorithm," International Journal of Advanced Manufacturing Technology, vol. 27, pp. 1047-1050, 2006.
                                                          {Journal Article} [Refereed/Juried]

                                                          Book Chapter 2005
                                                          • 2005 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2005. Book Chapter.
                                                            {Book Chapter} [Non-refereed/non-juried]

                                                          • Journal Article 2005
                                                            • J. Rosenberger and H. W. Corley. "Mathematical Programming Models for Some Smallest-World Problems," Nonlinear Analysis: Real World Applications, vol. 6, pp. 955-961, 2005.
                                                              {Journal Article} [Refereed/Juried]

                                                              Book Chapter 2004
                                                              • 2004 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2004. Book Chapter.
                                                                {Book Chapter} [Non-refereed/non-juried]

                                                              • Technical Report 2004
                                                                • Rosenberger, J. & Corley, H. W. (2004). A Branch-and-Price Method for Solving the Smallest-World Problem. The University of Texas at Arlington: COSMOS Technical Report 04-01.
                                                                  {Technical Report} [Non-refereed/non-juried]
                                                                • 2004
                                                                  • Rosenberger, J. M. & Corley, H. W. (2004). A Geormetric Active-Set Extension of the Simplex Method. The University of Texas at Arlington: COSMOS Technical Report 04-07.
                                                                    {Technical Report} [Non-refereed/non-juried]

                                                                    Book Chapter 2003
                                                                    • 2003 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2003. Book Chapter.
                                                                      {Book Chapter} [Non-refereed/non-juried]

                                                                    • Conference Paper 2003
                                                                      • H. W. Corley. "Playing at Engineering Education: the Dirty Dozen Puzzle Contest," presented at Proceedings of the 2003 ASEE Gulf-Southwest Annual Conference, March 2003.
                                                                        {Conference Paper} [Refereed/Juried]

                                                                        Book Chapter 2002
                                                                        • 2002 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2002. Book Chapter.
                                                                          {Book Chapter} [Non-refereed/non-juried]

                                                                          Book Chapter 2001
                                                                          • 2001 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2001. Book Chapter.
                                                                            {Book Chapter} [Non-refereed/non-juried]

                                                                            Book Chapter 2000
                                                                            • 2000 Dirty Dozen Contest Puzzles, H.W. Corley, College of Engineering, UT Arlington, February, 2000. Book Chapter.
                                                                              {Book Chapter} [Non-refereed/non-juried]

                                                                              Journal Article 1999
                                                                              • C. Temponi, F. Fard, and H. W. Corley. "A Fuzzy Decision Model for Color Reproduction," International Journal in Production Economics, vol. 58, pp. 31-37, 1999.
                                                                                {Journal Article} [Refereed/Juried]

                                                                                Conference Paper 1998
                                                                                • C. Temponi, F. Fard, and H. W. Corley. "A Fuzzy Neural Architecture for Customer Satisfaction Assessment," presented at Prceedings of the North American Fuzzy Information Processing Society, University of South Florida, Tampa, 1998.
                                                                                  {Conference Paper} [Refereed/Juried]

                                                                                  Conference Paper 1996
                                                                                  • C. Temponi, Y. K. Kuo, and H. W. Corley. "Customer Satisfaction Assessment through a Fuzzy Neural Controller," presented at Proceedings of the North American Fuzzy Information Processing Society, 30th Anniversary Issue, University of California, Berkeley, June 1996.
                                                                                    {Conference Paper} [Refereed/Juried]

                                                                                    Conference Paper 1992
                                                                                    • W. Pei and H. W. Corley. "Membership Functions for Indexed Fuzzy Control in an Oil Refinery," presented at Proceedings of the Second International Workshop in Industrial Fuzzy Control and Intelligent Systems, Texas A&M University, 1992.
                                                                                      {Conference Paper} [Refereed/Juried]
                                                                                    • 1992
                                                                                      • W. C. Yeh and H. W. Corley. "A Polynomial Algorithm for the Planar k-Cut Problem," presented at Proceedings of the 1992 CIIE National Conference, 1992.
                                                                                        {Conference Paper} [Refereed/Juried]

                                                                                        Journal Article 1989
                                                                                        • H. W. Corley. "The Convolved Fibonacci Equation," The Fibonacci Quarterly, vol. 27, pp. 283-284, 1989.
                                                                                          {Journal Article} [Refereed/Juried]

                                                                                          Journal Article 1988
                                                                                          • H. W. Corley. "Optimality Conditions for Maximizations of Set-Valued Functions," Journal of Optimization Theory and Applications, vol. 58, pp. 1-10, 1988.
                                                                                            {Journal Article} [Refereed/Juried]

                                                                                            Journal Article 1987
                                                                                            • H. W. Corley. "Existence and Lagrangian Duality for Maximizations of Set-Valued Functions," Journal of Optimization Theory and Applications, vol. 54, pp. 489-501, 1987.
                                                                                              {Journal Article} [Refereed/Juried]
                                                                                            • 1987
                                                                                              • H. W. Corley. "Optimization of n-Set Functions," Journal of Mathematical Analysis and Applications, vol. 127, pp. 193-205, 1987.
                                                                                                {Journal Article} [Refereed/Juried]

                                                                                                Journal Article 1986
                                                                                                • H. W. Corley. "Some Hybrid Fixed Point Theorems Related to Optimization," Journal of Mathematical Analysis and Applications, vol. 120, pp. 528-532, 1986.
                                                                                                  {Journal Article} [Refereed/Juried]

                                                                                                  Journal Article 1985
                                                                                                  • H. W. Corley. "Games with Vectors Payoffs," Journal of Optimization Theory and Applications, vol. 47, pp. 489-496, 1985.
                                                                                                    {Journal Article} [Refereed/Juried]
                                                                                                  • 1985
                                                                                                    • H. W. Corley. "On Optimality Conditions for Maximizations with Respect to Cones," Journal of Optimization Theory and Applications, vol. 46, pp. 67-78, 1985.
                                                                                                      {Journal Article} [Refereed/Juried]
                                                                                                    • 1985
                                                                                                      • H. W. Corley. "Efficient Spanning Trees," Journal of Optimization Theory and Applications, vol. 45, pp. 481-485, 1985.
                                                                                                        {Journal Article} [Refereed/Juried]
                                                                                                      • 1985
                                                                                                        • H. W. Corley and I. D. Moon. "Shortest Paths in Networks with Vector Weights," Journal of Optimization Theory and Applications, vol. 46, pp. 79-86, 1985.
                                                                                                          {Journal Article} [Refereed/Juried]
                                                                                                        • 1985
                                                                                                          • H. W. Corley. "Some Multiple Objective Dynamic Programs," IEEE Transactions on Automatic Control, vol. AC-30, pp. 1221-1222, 1985.
                                                                                                            {Journal Article} [Refereed/Juried]

                                                                                                            Journal Article 1984
                                                                                                            • H. W. Corley. "Duality Theory for the Matrix Linear Programming Problem," Journal of Mathematical Analysis and Application, vol. 104, pp. 47-52, 1984.
                                                                                                              {Journal Article} [Refereed/Juried]
                                                                                                            • 1984
                                                                                                              • H. W. Corley. "Multivariate Order Statistics," Communications in Statistics: Theory and Methods, vol. 13, pp. 1299-1304, 1984.
                                                                                                                {Journal Article} [Refereed/Juried]

                                                                                                                Book Chapter 1983
                                                                                                                • Corley, H. W. "Maximizations with Respect to Cones." Mathematical Modeling in Science and Technology IV, 196-201. Pergamon Press, 1983.
                                                                                                                  {Book Chapter} [Refereed/Juried]

                                                                                                                • Journal Article 1983
                                                                                                                  • H. W. Corley and H. Golnabi. "Minimax Trees, Paths, and Cut Sets," Naval Research Logistics Quarterly, vol. 30, pp. 665-666, 1983.
                                                                                                                    {Journal Article} [Refereed/Juried]

                                                                                                                    Journal Article 1982
                                                                                                                    • H. W. Corley and D. Sha. "Most Vital Links and Nodes in Weighted Networks," Operations Research Letters, vol. 1, pp. 157-160, 1982.
                                                                                                                      {Journal Article} [Refereed/Juried]
                                                                                                                    • 1982
                                                                                                                      • H. W. Corley. "A Generalized Bottleneck Assignment Problem," Journal of Optimization Theory and Applications, vol. 26, pp. 135-138, 1982.
                                                                                                                        {Journal Article} [Refereed/Juried]

                                                                                                                        Journal Article 1981
                                                                                                                        • H. W. Corley. "A Fixed Point Interpretation of Pareto Optimization," IEEE Transactions on Automatic Control, vol. 46, pp. 766-767, 1981.
                                                                                                                          {Journal Article} [Refereed/Juried]
                                                                                                                        • 1981
                                                                                                                          • H. W. Corley. "Duality Theory for Maximizations with Respect to Cones," Journal of Mathematical Analysis and Applications, vol. 84, pp. 560-568, 1981.
                                                                                                                            {Journal Article} [Refereed/Juried]

                                                                                                                            Journal Article 1980
                                                                                                                            • H. W. Corley. "A New Scalar Equivalence for Pareto Optimization," IEEE Transactions on Automatic Control, vol. AC-25, pp. 829-830, 1980.
                                                                                                                              {Journal Article} [Refereed/Juried]
                                                                                                                            • 1980
                                                                                                                              • H. W. Corley. "An Existence Result for Maximizations with Respect to Cones," Journal of Optimization Theory and Applications, vol. 31, pp. 277-281, 1980.
                                                                                                                                {Journal Article} [Refereed/Juried]

                                                                                                                                Book Chapter 1975
                                                                                                                                • H. W. Corley. "Optimal Set Partitioning," Collective Phenomena and the Applications of Physics to Other Fields of Science, N. Chigier and E. Stern, Eds., 1975, pp. 168-177.
                                                                                                                                  {Book Chapter} [Refereed/Juried]

                                                                                                                                  Journal Article 1974
                                                                                                                                  • H. W. Corley and H. Chang. "Finding the n Most Vital Nodes in a Flow Network," Management Science, vol. 21, pp. 362-364, 1974.
                                                                                                                                    {Journal Article} [Refereed/Juried]

                                                                                                                                    Journal Article 1972
                                                                                                                                    • H. W. Corley. "Duality Relationships for a Partitioning Problem," SIAM Journal of Applied Mathematics, vol. 23, pp. 490-494, 1972.
                                                                                                                                      {Journal Article} [Refereed/Juried]
                                                                                                                                    • 1972
                                                                                                                                      • H. W. Corley and S. D. Roberts. "A Partitioning Problem with Applications in Regional Design," Operations Research, vol. 20, pp. 1010-1019, 1972.
                                                                                                                                        {Journal Article} [Refereed/Juried]

Presentations

  • Past
    •  
      A Non-Nash Equilibrium for Noncooperative Games, H.W. Corley and P. Insuwan, INFORMS 2007 Annual Meeting, Seattle, WA, November 2007.
  • Past
    •  
      A Recursive Family of Discrete Univariate Distributions, H.W. Corley and S.B. Kim, INFORMS 2007 Annual Meeting, Seattle WA, November, 2007.
  • Past
    •  
      A Sequential Response Surface Methodology for the Aircraft Rotation Problem, S. Visoldilokpun, Jay Rosenberger, V.C.P Chen, H.W. Corley, S.B. Kim INFORMS 2006 Annual Meeting, Pittsburg, PA, November, 2006.
  • Past
    •  
      Constraint Optimal Selection Techniques (COSTs) for Large-Scale Linear Programming Problem, H.W. Corley, Jay Rosenberger, T.-K. Sung, INFORMS 2006 Annual Meeting, Pittsburg, PA, November, 2006
  • Past
    •  
      A Non-Nash Equilibrium for Noncooperative Games, H.W. Corley and P. Insuwan, INFORMS 2008 Annual Meeting, Washington, DC, November 2008.
  • Past
    •  
      Application of Three-phase Methodology on the Multistage Multiobjective Wastewater Treatment System, P.K. Tarun, V.C.P Chen, H.W. Corley, INFORMS 2008 Annual Meeting, Washington, DC, November, 2008.
  • Past
    •  
      Incorporating Decision Makers’ Inputs in a Dynamic Multistage Multiobjective Model, P.K. Tarun, V.C.P. Chen, H.W. Corley, IE Research Conference, Vancouver, Canada, April, 2008.
  • Past
    •  
      Application of the HHI in a Probabilistic Framework for a Parametric Approach to Determine Possible Market Power, M.S. Sahni, H.W. Corley, Gou Bei, IEEE PES Power Systems Conference, March 15- 18, 2009.
  • Past
    •  
      Constraint Optimal Selection Techniques (COSTs) for Linear Programming, H.W. Corley, Jay Rosenberger, Goh Saito, INFORMS 2010 Annual Meeting, Austin, TX, November, 2010.
  • Past
    •  
      Divergence of Pairwise Comparison Matrices Computed using the Successive Geometric Mean (SGM) Method, P.K. Tarun, V.C.P. Chen, H.W. Corley, INFORMS 2010 Annual Meeting, Austin, TX, November, 2010.
  • Past
    •  
      The Scalar Equivalence of Optimization Criteria, Surachai Charoensri, H.W. Corley, INFORMS 2010 Annual Meeting, Austin, TX, November, 2010.
  • Past
    •  
      Beyond the Nash Equilibrium, H.W. Corley, INFORMS 2012 Annual Meeting, Phoenix, AZ, October, 2012.
  • Past
    •  
      • The Scalar Equivalence of Optimization Criteria, Surachai Charoensri, H.W. Corley, INFORMS 2011 Annual Meeting, Charlotte, NC, November, 2011.

Support & Funding

    • Jan 2007 to Jan 2008 TXU Emissions sponsored by  - $100000
    • Jan 2004 to Dec 2004 A New Commercial Algorithm for Linear Programming sponsored by  - $28800

Patents

    • Feb 2015 • U.S. Patent No. 8,082,549   System, Method and Apparatus for Allocating Resources by Constraint Selection

      An active-set, cutting-plane approach called Constraint Optimal Selection Techniques (COSTs) is proposed  for solving a large-scale linear programming problem P. A COST solves an initial linear programiming problem P0 with a single constraint and then a series of relaxations Pr, r=1,2,…, of P0 by adding constraints from P to the previous relaxation. The constraints of Pr are called its operative constraints, while the rest of the constraints are called inoperative constraints. Since the constraints are chosen to form a bounded region, each problem Pr yields an optimal solution xr∗. A relaxed problem Pr+1 is obtained from Pr by adding one or more constraints chosen from the violated inoperative constraints of Pr, i.e., a constraint violated by xr∗. These constraints are selected according to a particular criterion such that the chosen violated inoperative constraints are considered most likely to be binding at optimality for the original problem P. Pr+1 is then solved with the dual simplex algorithm. By continuing in this manner, eventually a solution xr∗ is obtained that satisfies all inoperative constraints for Pr and yields a solution of P. The rationale for any such active-set approach is that a solution to P is determined by relatively few constraints satisfied as equalities — at most n such constraints for the n variables in constraint set. Therefore, the goal is to add only constraints likely to be binding at optimality. Some such COSTs are more than an order of magnitude faster than faster than existing linear programming methods.

Courses

      • IE 3315-001 Operations Research I

        An introduction to the major deterministic techniques of operations research and their application to decision problems. These techniques include linear programming, integer programming, network analysis, dynamic programming, nonlinear programming, and Pareto optimization. Course software is used.

        Spring - Regular Academic Session - 2017 Download Syllabus Contact info & Office Hours
      • IE 5301-001 ADVANCED OPERATIONS RESEARCH

        A survey of quantitative methods to develop modeling and decision-making skills. Topics include linear programming, the simplex and dual simplex algorithms, integer programming, transportation and assignment problems, goal programming, nonlinear programming, network analysis, decision trees, game theory, Markov chains, and queueing theory. Course software is used.

        Spring - Regular Academic Session - 2017 Download Syllabus Contact info & Office Hours
      • IE 5300-005 TOPICS IN INDUSTRIAL ENGINEERING

        The essentials of game theory are covered. Topics include games include normal form, Pareto optimality, the Nash equilibrium, further solution concepts, extensive games, repeated and stochastic games, Bayesian games, and coalitional games.

        Spring - Regular Academic Session - 2017 Download Syllabus Contact info & Office Hours
      • IE 3315-001 Operations Research

        An introduction to the major deterministic techniques of operations research and their application to decision problems. These techniques include linear programming, integer programming, network analysis, dynamic programming, and nonlinear programming. Course software is used.

        Fall - Regular Academic Session - 2016 Download Syllabus Contact info & Office Hours
      • IE 4315-001 OPERATIONS RESEARCH II

        An introduction to the major deterministic techniques of operations research and their application to decision problems. These techniques include linear programming, integer programming, network analysis, dynamic programming, and nonlinear programming. Course software is used.

        Fall - Regular Academic Session - 2016 Download Syllabus Contact info & Office Hours
      • IE 5311-001 Decision Analysis

        A survey of topics covering various aspects of decision-making and modeling. This course is designed to develop modeling and decision-making skills in both industrial and research situations, as well as the ability to do an independent group project and write a report. These outcomes will be evaluated with the two in-class examinations and a group project. 

        Fall - Regular Academic Session - 2016 Download Syllabus Contact info & Office Hours
      • IE 3315-001 Operations Research

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326 or concurrent enrollment.

        Spring - Regular Academic Session - 2016 Download Syllabus Contact info & Office Hours
      • IE 5301-001 ADVANCED OPERATIONS RESEARCH

        A survey of quantitative methods to develop modeling and decision-making skills. Topics include linear programming, the simplex and dual simplex algorithms, integer programming, transportation and assignment problems, goal programming, nonlinear programming, network analysis, decision trees, game theory, Markov chains, and queueing theory.

        Spring - Regular Academic Session - 2016 Download Syllabus Contact info & Office Hours
      • IE 5309-001 Stochastic Processes

        The study of probabilistic model building including the fundamentals of both discrete and continuous Markov chains, queueing theory and renewal theory. Prerequisites: IE 3301 or IE 5317, or equivalent.

        Spring - Regular Academic Session - 2016 Download Syllabus Contact info & Office Hours
      • IE 3315-001 Operations Research I

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326 or concurrent enrollment.

        Fall - Regular Academic Session - 2015 Download Syllabus Contact info & Office Hours1 Document
      • IE 4315-001 OPERATIONS RESEARCH II

        A continuation of IE 3315 to probabilistic techniques of operations research and their application to decision models. Topics include linear difference equations, Markov chains, game theory, decision analysis, queuing theory, and non-quantitative aspects of decisions. Group projects are required. Prerequisite: IE 3301, IE 3315, and MATH 3319 (or concurrent enrollment).

        Fall - Regular Academic Session - 2015 Download Syllabus Contact info & Office Hours
      • IE 5306-001 Dynamic Optimization

        Dynamic optimization methods including dynamic programming, the calculus of variations, and optimal control theory. Emphasis is on the modeling and solution of practical problems using these techniques. Prerequisites: IE 3301 and IE 3315, or IE 5317, or equivalent.

        Fall - Regular Academic Session - 2015 Download Syllabus Contact info & Office Hours
      • IE 3315-001 Operations Research I

        An introduction to the major deterministic techniques of operations research and their application to decision problems. These techniques include linear programming, integer programming, network analysis, dynamic programming, and nonlinear programming. Course software is used.

        Spring - Regular Academic Session - 2015 Download Syllabus Contact info & Office Hours
      • IE 5301-001 ADVANCED OPERATIONS RESEARCH

        A survey of quantitative methods to develop modeling and decision-making skills. Topics include linear programming, the simplex and dual simplex algorithms, integer programming, transportation and assignment problems, goal programming, nonlinear programming, network analysis, decision trees, game theory, Markov chains, and queueing theory.

        Spring - Regular Academic Session - 2015 Download Syllabus Contact info & Office Hours
      • IE 5307-001 Queueing Theory

        A survey of quantitative methods to develop modeling and decision-making skills. Topics include linear programming, the simplex and dual simplex algorithms, integer programming, transportation and assignment problems, goal programming, nonlinear programming, network analysis, decision trees, game theory, Markov chains, and queueing theory.

        Spring - Regular Academic Session - 2015 Download Syllabus Contact info & Office Hours
      • IE 4315-001 Operations Research II

        A continuation of IE 3315 to probabilistic techniques of operations research and their application to decision models. Topics include z-transforms, linear difference equations, Markov chains, game theory, decision analysis, queuing theory, and non-quantitative aspects of decisions. Group projects are required.

        Prerequisite: IE 3301, IE 3315, and MATH 3319 (or concurrent enrollment).

        Fall - Regular Academic Session - 2014 Download Syllabus Contact info & Office Hours
      • IE 5301-004 Advanced Operations Research

        A survey of quantitative methods to develop modeling and decision-making skills. Topics include linear programming, goal programming, the simplex and dual simplex algorithms, transportation and assignment problems, integer programming, network analysis, nonlinear programming, decision trees, Markov Chains, and queuing theory.

        Prerequisite: IE 3301 or IE 5317 or equivalent.

        Fall - Regular Academic Session - 2014 Download Syllabus Contact info & Office Hours
      • IE 5311-001 Decision Analysis

        A survey of methods for making optimal decisions. Topics include decision models, formal logic, fuzzy controls, statistical decision theory, game theory, multiobjective decisions, stochastic programming, information theory and qualitative aspects of the decisions.

        Prerequisites: IE 5301 or concurrent.

        Fall - Regular Academic Session - 2014 Download Syllabus Contact info & Office Hours
      • IE 5306-001 Ie 5306-001

        Dynamic optimization methods including dynamic programming, the calculus of variations, and optimal control theory. Emphasis is on the modeling and solution of practical problems using these techniques.

        Spring - Regular Academic Session - 2013 Download Syllabus Contact info & Office Hours
      • IE 5307-001 Queueing Theory
        The fundamentals of queueing theory including Markovian birth-death models, networks of queues, and general arrival and service distributions. Prerequisites: IE 3301 or IE 5317, or equivalent.
        Spring - Regular Academic Session - 2013 Download Syllabus
      • IE 5301-001 ADVANCED OPERATIONS RESEARCH
        A survey of quantitative methods to develop modeling and decision-making skills. Topics include z-transforms and difference equations, Markov Chains, decision analysis techniques, goal programming, game theory, queuing theory and nonlinear programming. Prerequisites: Both IE 3301 and IE 3315 OR IE 5317 or equivalent.
        Spring - Regular Academic Session - 2013 Download Syllabus
      • IE 3315-001 Operations Research

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Fall - Regular Academic Session - 2012 Download Syllabus
      • IE 4315-001 OPERATIONS RESEARCH II
        A continuation of IE 3315 to probabilistic techniques of operations research and their application to decision models. Topics include z-transforms, linear difference equations, Markov chains, game theory, decision analysis, queuing theory, and non-quantitative aspects of decisions. Group projects are required. Prerequisite: IE 3301, IE 3315, and MATH 3319 (or concurrent enrollment).

        Fall - Regular Academic Session - 2012 Download Syllabus
      • IE 5311-001 Decision Analysis

        A survey of methods for making optimal decisions. Topics include decision models, formal logic, fuzzy controls, statistical decision theory, game theory, multiobjective decisions, stochastic programming, information theory and qualitative aspects of the decisions. Prerequisites: IE 5301 or concurrent.

        Fall - Regular Academic Session - 2012 Download Syllabus
      • IE 3315-001 Operations Research

        IE 3315 OPERATIONS RESEARCH I (3-0) Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required.

        Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Summer - Regular Academic Session - 2012
      • IE 5301-001 ADVANCED OPERATIONS RESEARCH

        Description: A survey of quantitative methods to develop modeling and decision-making skills. Topics include z-transforms and difference equations, Markov Chains, decision analysis techniques, goal programming, game theory, queuing theory and nonlinear programming.

        Prerequisites: IE 3301 and IE 3315, or IE 5317, or equivalent.

        Summer - Regular Academic Session - 2012
      • IE 5309-001 Stochastic Processes

        The study of probabilistic model building including the fundamentals of both discrete and continuous Markov chains, queueing theory and renewal theory. Prerequisites: IE 3301 or IE 5317, or equivalent.

        Spring - Regular Academic Session - 2012
      • IE 3315-001 Operations Research

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Spring - Regular Academic Session - 2012
      • IE 5332-001 Nonlinear Programming
        Methods for nonlinear optimization including classical theory; gradient methods; sequential unconstrained methods; convex programming; genetic algorithms; simulated annealing; and separable, quadratic, and geometric programming. Prerequisite: graduate standing.
        Spring - Regular Academic Session - 2012
      • IE 3315-001 Operations Research

        Description: Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used.

        Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Fall - Regular Academic Session - 2011
      • IE 4315-001 OPERATIONS RESEARCH II

        Description: A continuation of IE 3315 to probabilistic techniques of operations research and their application to decision models. Topics include z-transforms, linear difference equations, Markov chains, game theory, decision analysis, queuing theory, and non-quantitative aspects of decisions. Group projects are required.

        Prerequisite: IE 3301, IE 3315, and MATH 3319 (or concurrent enrollment).

        Fall - Regular Academic Session - 2011
      • IE 5306-001 Dynamic Optimization

        Description: Dynamic optimization methods including dynamic programming, the calculus of variations, and optimal control theory. Emphasis is on the modeling and solution of practical problems using these techniques.

        Prerequisites: IE 3301 and IE 3315, or equivalent.

        Fall - Regular Academic Session - 2011
      • IE 5306-001 Dynamic Optimization

        Description: Dynamic optimization methods including dynamic programming, the calculus of variations, and optimal control theory. Emphasis is on the modeling and solution of practical problems using these techniques.

        Prerequisites: IE 3301 and IE 3315, or equivalent.

        Fall - Regular Academic Session - 2011
      • IE 5307-001 Queueing Theory

        Description: The fundamentals of queueing theory including Markovian birth-death models, networks of queues, and general arrival and service distributions. Prerequisites: IE 3301 or equivalent.

        Summer - Regular Academic Session - 2011
      • IE 5301-001 ADVANCED OPERATIONS RESEARCH

        Description: A survey of quantitative methods to develop modeling and decision-making skills. Topics include z-transforms and difference equations, Markov Chains, decision analysis techniques, goal programming, game theory, queuing theory and nonlinear programming.

        Prerequisites: IE 3301 and IE 3315, or IE 5317, or equivalent.

        Summer - Regular Academic Session - 2011
      • IE 3315-001 Operations Research

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Summer - Regular Academic Session - 2011
      • IE 5317-001 Introduction to Statistics and Operations Research
        Topics include descriptive statistics, set theory, combinatorics, mathematical expectation, probability distributions, confidence interval estimation, linear programming, the simplex and dual simplex algorithms, transportation and assignment problems, integer programming, and network analysis. Prerequisites: graduate standing and permission of advisor.
        Spring - Regular Academic Session - 2011
      • IE 3301-001 ENGINEERING PROBABILITY
        Topics in industrial engineering that involve random processes. Applications and backgrounds for topics in reliability, inventory systems, and queuing problems, including absoldute and conditional probabiltities, discrete and continuous random variables, parameter estimation, hypothesis testing, linear regression, experimentsl designs and analysis of variance. Prerequisite: MATH 2326 or concurrent enrollment.
        Spring - Regular Academic Session - 2011
      • IE 4315-001 OPERATIONS RESEARCH II
        A continuation of IE 3315 to probabilistic techniques of operations research and their application to decision models. Topics include z-transforms, linear difference equations, Markov chains, game theory, decision analysis, queueing theory, and non-quantitative aspects of decisions. Group projects are required. Prerequisite: IE 3301, IE 3315, and MATH 3319.
        Fall - Regular Academic Session - 2010
      • IE 5311-001 Decision Analysis
        A survey of methods for making optimal decisions. Topics include decision models, formal logic, fuzzy controls, statistical decision theory, game theory, multiobjective decisions, stochastic programming, information theory and qualitative aspects of the decisions. Prerequisites: IE 5301 or concurrent.
        Fall - Regular Academic Session - 2010
      • IE 3315-001 Operations Research

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Fall - Regular Academic Session - 2010
      • IE 3315-001 Operations Research

        Introduction to the major deterministic techniques of operations research and their application to decision problems. Linear programming, integer programming, network analysis, dynamic programming, nonlinear programming. Course software is used. Project required. Prerequisite: IE 3301 or concurrent enrollment and MATH 2326.

        Summer - Regular Academic Session - 2010
      • IE 5309-001 Stochastic Processes
        The study of probabilistic model building including the fundamentals of both discrete and continuous Markov chains, queueing theory and renewal theory. Prerequisites: IE 3301 or equivalent.
        Spring - Regular Academic Session - 2010
      • IE 3301-001 ENGINEERING PROBABILITY
        Topics in industrial engineering that involve random processes. Applications and backgrounds for topics in reliability, inventory systems, and queuing problems, including absoldute and conditional probabiltities, discrete and continuous random variables, parameter estimation, hypothesis testing, linear regression, experimentsl designs and analysis of variance. Prerequisite: MATH 2326 or concurrent enrollment.
        Spring - Regular Academic Session - 2010
      • IE 4315-001 OPERATIONS RESEARCH II
        A continuation of IE 3315 to probabilistic techniques of operations research and their application to decision models. Topics include z-transforms, linear difference equations, Markov chains, game theory, decision analysis, queueing theory, and non-quantitative aspects of decisions. Group projects are required. Prerequisite: IE 3301, IE 3315, and MATH 3319.
        Fall - Regular Academic Session - 2009
      • IE 5311-001 Decision Analysis
        A survey of methods for making optimal decisions. Topics include decision models, formal logic, fuzzy controls, statistical decision theory, game theory, multiobjective decisions, stochastic programming, information theory and qualitative aspects of the decisions. Prerequisites: IE 5301 or concurrent.
        Fall - Regular Academic Session - 2009
      • IE 5332-001 Nonlinear Programming

        IE5332  NONLINEAR PROGRAMMING (3-0)  Optimization theory for unconstrained, equality constrained, and inequality constrained problems is first developed.  Then, convex programming, geometric programming, quadratic programming, separable programming, and optimum seeking methods are presented.  Prerequisite:  graduate standing

        Summer - Regular Academic Session - 2009 Download Syllabus

Other Service Activities

  • Uncategorized
    • Dec  Coordinator of COE Dirty Dozen Puzzle Contest for engineering students during Engineering Week
      2000-2009
    • Dec  Directed 28 Ph.D. dissertations
    • Dec  Member, College of Engineering Promotion and Tenure Committee
      1996-2009
    • Dec  Chair of IMSE Faculty Search Committee
      1999-2009
    • Dec  University Personnel Benefits Committee
      2007-2009
    • Dec  University Advisory Committee on Student Affairs
      2001-2009
    • Dec  IMSE Graduate Advisor
      1999-2005

Administrative Appointment

  • 2013
    • Sept 2013 to Present - Associate Department Chair, University of Texas at Arlington   Office of the President   Office of the Provost and Vice President for Academic Affairs   College of Engineering   IMSE Dept.