Dr. Bill Corley
Contact Information
Professor
Office: Woolf Hall, 420 O
Email: corley@uta.edu
Additional Links
Education |
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| Ph.D. | Mathematics, The University of Texas at Arlington, 1997 |
| Ph.D | Systems Engineering, University of Florida, 1971 |
| M.S. | Information Science, Georgia Tech, 1968 |
| B.S. | Electrical Engineering, Georgia Tech, 1966 |
Experience |
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| 1971-Present | Professor, The University of Texas at Arlington |
| 1968-1969 | System Engineer, McDonnell Douglas Astronautics Company, Titusville, Florida |
| 1966-1967 | Space Engineer, IBM, Federal Systems Division, Cape Canaveral, Florida |
Research Interests
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 also co-founder of COSMOS (Center on Stochastic Modeling, Optimization, & Statistics).
Activities and Awards
- Recipient, Univ. of Texas Regents’ Outstanding Teacher Award, 2011
- UTA Academy of Distinguished Teachers, 2010
- UTA Faculty Development Leave for the project Constraint Optimal Objective Techniques (COSTs) for Linear Programming, 2006 - 2007
- Lockheed Martin Award for Excellence in Teaching in UTA College of Engineering, 2005
- Member, Professional Engineer - Texas
- Institute for Operations Research and Management Science (INFORMS)
- American Society for Engineering Education (ASCE)
- Institute of Industrial Engineers (IIE)
- Coordinator of College of Engineering Dirty Dozen Scholarship Puzzle Contest
Selected Publications
- The Generalization of Optimization Criteria, S. Charoensri and H.W. Corley, in review, European Journal of Operational Research.
- Divergence of Pairwise Comparison Matrices Computed Using the Successive Geometric Mean (SGM) Method in a Multiple Stage, Multiple Objective Model, P.K. Tarun, H. W. Corley, V. C. P. Chen, in review, Annals of Operations Research.
- The Equivalence and Scalarization of Standard Optimization Criteria, S. Charoensri and H.W. Corley, in review, European Journal of Operational Research.
- An Equivalent Formulation for Certain Cone-Ordered Maximizations, S. Charoensri and H.W. Corley, in review, SIAM Journal on Optimization.
- Neural Network for Detecting Cyclic Behavior in Autocorrelated Processes, Ussanee Purintrapiban and H.W. Corley, Computers and Industrial Engineering, published online, http://dx.doi.org/10.1016/j.cie.2012.01.002.
- U.S. Patent #8,082,549 by H.W. Corley and Jay Rosenberger, issued December 20, 2011, System, Method and Apparatus for Allocating Resources by Constraint Selection.
- Constraint Optimal Selection Techniques (COSTs) for Nonnegative Linear Programming Problems, Saito, G., H. W. Corley, J. M. Rosenberger, and T.-K. Sung. Optimization Methods and Software, to appear 2012.
- 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.
- A Simple Direct Cosine Simplex Algorithm, with Wei-Chang Yeh, Applied Mathematics and Computation, Vol. 214, 2009, 178-186.
- A Recursive Family of Discrete Distributions with a Normality Conjecture, with S. B. Kim, Oriental Journal of Mathematics, Vol. 1, 2009, 63-71.
- U.S. Provisional Patent Application No. 60/985,610 by H.W. Corley, submitted November 7, 2007, Predicting and Prescribing Choices in Economic, Social, and Scientific Interactions by Transformed Utility Equilibria.
- Mathematical Programming Models for Some Smallest-World Problems, with Jay Rosenberger, Nonlinear Analysis: Real World Applications, Vol. 6, 2005, 955-961.
- A Fuzzy Neural Architecture for Customer Satisfaction Assessment, with Cecilia Temponi and Y.-K. Kuo, Journal of Intelligent and Fuzzy Systems, Vol. 7, 1999, 173-183.
- Optimality Conditions for Maximizations of Set-Valued Functions, Journal of Optimization Theory and Applications, Vol. 58, 1988, 1-10.
- Optimization of n-Set Functions, Journal of Mathematical Analysis and Applications, Vol. 127, 1987, 193-205.
- Existence and Lagrangian Duality for Maximizations of Set-Valued Functions, Journal of Optimization Theory and Applications, Vol. 54, 1987, 489-501.
- Some Hybrid Fixed Point Theorems Related to Optimization, Journal of Mathematical Analysis and Applications, Vol. 120, 1986, 528-532.
- Shortest Paths in Networks with Vector Weights, with I.D. Moon, Journal of Optimization Theory and Applications, Vol. 46, 1985, 79-86.
- A Fixed Point Interpretation of Pareto Optimization, IEEE Transactions on Automatic Control, Vol. AC-26, 1981, 766-767
- Efficient Spanning Trees, Journal of Optimization Theory and Applications, Vol. 45, 1985, 481-485.
- Multivariate Order Statistics, Communications in Statistics: Theory and Methods, Vol. 13, 1984, 1299-1304.
- Most Vital Links and Nodes in Weighted Networks, with David Sha, Operations Research Letters, Vol. 1, 1982, 157-160
- Duality Relationships for a Partitioning Problem, SIAM Journal of Applied Mathematics, Vol. 23, 1972, 490-494.
- A Partitioning Problem with Applications in Regional Design, Operations Research, Vol. 20, 1972, 1010-1019.