Harold Benson American Economic Institutions Professor of Information Systems and Operations Management

Transcription

1 Harold Benson American Economic Institutions Professor of Information Systems and Operations Management Biography Interests: Global optimization, Multiple criteria decision making, Management science, Operations management Education: Ph.D., Northwestern University, 1976; M.S., Northwestern University, 1973; B.S., University of Michigan, Professor Benson currently teaches management science and operations management. His recent research interests have been focused on global optimization and multiple criteria decision making. Author: Branch and Bound-Outer Approximation Algorithm for Sum-of-Ratios Fractional Programs, Journal of Optimization Theory and Applications, 2010; Simplicial Branch-and-Reduce Algorithm for Convex Programs with a Multiplicative Constraint, Journal of Optimization Theory and Applications, 2010; Branch-and-Reduce Algorithm for Convex Programs with Additional Multiplicative Constraints, European Journal of Operational Research, with E. J. Sun, 2009; Global Maximization of a Generalized Concave Multiplicative Function, Journal of Optimization Theory and Applications, 2008; Solving Sum-of-Ratios Fractional Programs via Concave Minimization, Journal of Optimization Theory and Applications, 2007; A Simplicial Branch and Bound Duality-Bounds Algorithm for the Linear Sumof-Ratios Problem, European Journal of Operational Research, 2007; Continuous Modular Design Problem: Analysis and Solution Algorithms, Journal of Optimization Theory and Applications, 2006; Fractional Programming with Convex Quadratic Forms and Functions, European Journal of Operational Research, 2006; Maximizing the Ratio of Two Convex Functions Over a Convex Set, Naval Research Logistics, A Global Optimization Approach for Generating Efficient Points for Multiobjective Concave Fractional Programs, Journal of Multi-Criteria Decision Analysis, 2005;

2 "Decomposition Branch-and-Bound Based Algorithm for Linear Programs with Additional Multiplicative Constraints," Journal of Optimization Theory and Applications, 2005; "On the Global Optimization of Sums of Linear Fractional Functions over a Convex Set," Journal of Optimization Theory and Applications, 2004; "Concave Envelopes of Monomial Functions over Rectangles," Naval Research Logistics, 2004; "On the Construction of Convex and Concave Envelope Formulas for Bilinear and Fractional Functions on Quadrilaterals," Computational Optimization and Applications, 2004; "Generating Sum-of-Ratios Test Problems in Global Optimization," Journal of Optimization Theory and Applications, 2003; "A Weight Set Decomposition Algorithm for Finding All Efficient Extreme Points in the Outcome Set of a Multiple Objective Linear Program, " European Journal of Operational Research, with E. J. Sun, 2002; "Global Optimization Algorithm for the Nonlinear Sum of Ratios Problem," Journal of Optimization Theory and Applications, 2002; Using Concave Envelopes to Globally Solve the Nonlinear Sum of Ratios Problem," Journal of Global Optimization, 2002; "Global Optimization of Nonlinear Sums of Ratios," Journal of Mathematical Analysis and Applications, 2001; "Analysis of an Outcome Space Formulation of the Multiplicative Programming Problem," New Frontiers of Decision Making for the Information Technology Era, with G. Boger, 2000; "An Outcome Space, Cutting Plane Algorithm for Linear Multiplicative Programming, Journal of Optimization Theory and Applications, with G. Boger, 2000; "Outcome Space Partition of the Weight Set in Multiobjective Linear Programming," Journal of Optimization Theory and Applications, with E. Sun, 2000; "Pivoting in an Outcome Polyhedron," Journal of Global Optimization, with E. Sun, 2000; "New Closedness Results for Efficient Sets in Multiple Objective Mathematical Programming," Journal of Mathematical Analysis and Applications, with E. Sun, 1999; "A Generalized Gamma-Valid Cut Procedure for Concave Minimization," Journal of Optimization Theory and Applications, 1999; "An Outcome Space Branch and Bound-Outer Approximation Algorithm for Convex Multiplicative Programming," Journal of Global Optimization, 1999; "An Outer Approximation Algorithm for Generating All Efficient Extreme Points in the Outcome Set of a Multiple Objective Linear Programming Problem," Journal of Global Optimization, 1998; "Global Optimization in Practice: An Application to Interactive Multiple Objective Linear Programming," Journal of Global Optimization, with D. Lee and J.P. McClure, 1998; "Hybrid Approach for Solving Multiple Objective Linear Programs in Outcome Space," Journal of Optimization Theory and Applications, 1998; "Further Analysis of an Outcome Set-Based Algorithm for Multiple Objective Linear Programming, Journal of Optimization Theory and Applications, 1998; "Generating the Efficient Outcome Set in Multiple Objective Linear Programs: The Bicriteria Case," Acta Mathematica Vietnamica, 1997; "A Multiple-Objective Linear Programming Model for the Citrus Rootstock Selection Problem in Florida," Journal of Multi-Criteria Decision Analysis," with D. Lee and J.P. McClure, 1997; "Multiplicative Programming Problems: Analysis and Efficient Point Search Heuristic," Journal of Optimization Theory and Applications, with G. Boger, 1997; "Dynamic Lot-Sizing with Setup Cost

3 Reduction," European Journal of Operational Research, with M. Denizel and S. Erenguc, 1997;"Towards Finding Global Representations of Efficient Sets in Multiple Objective Mathematical Programming," Naval Research Logistics, with S. Sayin, 1997; "Deterministic Algorithms for Constrained Concave Minimization: A Unified Critical Survey," Naval Research Logistics, 1996; "Outcome-Based Algorithm for Optimizing Over the Efficient Set of a Bicriteria Linear Programming Problem," Journal of Optimization Theory and Applications, with D. Lee, 1996; "Scheduling Surgeries for Patients Requiring Post-Operative Intensive Care: A Multiple Objective Integer Programming Approach," Advances in Multicriteria Analysis, 1995; "A Geometrical Analysis of the Efficient Outcome Set in Multiple Objective Convex Programs with Linear Criterion Functions," Journal of Global Optimization, 1995; "Concave Minimization: Theory, Applications and Algorithms," Handbook of Global Optimization, 1995; "A Finite Concave Minimization Algorithm Using Branch and Bound and Neighbor Generation," Journal of Global Optimization, with S. Sayin, 1994; "Optimization Over the Efficient Set: Four Special Cases," Journal of Optimization Theory and Applications, with S. Sayin, 1994; "A Face Search Heuristic Algorithm for Optimizing Over the Efficient Set," Naval Research Logistics, with S. Sayin, 1993; "A Bisection-Extreme Point Search Algorithm for Optimizing Over the Efficient Set in the Linear Dependence Case," Journal of Global Optimization, 1993; "A Finite, Non-Adjacent Extreme Point Search Algorithm for Optimization Over the Efficient Set," Journal of Optimization Theory and Applications, 1992; "Complete Efficiency and the Initialization of Algorithms for Multiple Objective Programming," Operations Research Letters, 1991; "Using Efficient Feasible Directions in Interactive Multiple Objective Linear Programming," Operations Research Letters, with Y. Aksoy, 1991; "Concave Minimization via Conical Partitions and Polyhedral Outer Approximation," Mathematical Programming, with R. Horst and N.V. Thoai, 1991; "An Optimization Approach for Scheduling Internal Audits of Divisions," Decision Sciences, with W.R. Knechel, 1991; "An All-Linear Programming Relaxation Algorithm for Optimizing Over the Efficient Set," Journal of Global Optimization, 1991; "An Algorithm for Indefinite Integer Quadratic Programming," Journal of Computers and Mathematics with Applications, with S.S. Erenguc, 1991; "A Branch and Bound-Outer Approximation Algorithm for Concave Minimization Over a Convex Set," Journal of Computers and Mathematics with Applications, with R. Horst, 1991; "A Note on Adapting Methods for Continuous Global Optimization to the Discrete Case," Annals of Operations Research, with S.S. Erenguc and R. Horst, 1990; "Separable Concave Minimization via Partial Outer Approximation and Branch and Bound," Operations Research Letters, 1990; An Algorithm for Concave Integer Minimization Over a Polyhedron," Naval Research Logistics, with S.S. Erenguc, On the Structure and Properties of a Linear Multilevel Programming Problem, Journal of Optimization Theory and Applications, 1989; Using Convex Envelopes to Solve the Interactive Fixed Charge Linear Programming Problem, Journal of Optimization Theory and Applications, with S. S. Erenguc, 1988; A Bicriteria Mathematical Programming Model for Nutrition Planning in Developing Nations, Management Science, with T. L. Morin, 1987;

4 On the Weighted Selection Algorithm for Certain Linear Programs with Nested Constraint Coefficients, Operations Research, with S.S. Erenguc, 1986; An Algorithm for Optimizing Over the Weakly-Efficient Set, European Journal of Operational Research, 1986; The Interactive Fixed Charge Linear Programming Problem, Naval Research Logistics Quarterly, with S.S. Erenguc, 1986; Finding Certain Weakly-Efficient Vertices in Multiple Objective Linear Fractional Programming, Management Science, l985; Multiple Objective Linear Programming with Parametric Criteria Coefficients, Management Science, 1985; A Finite Algorithm for Concave Minimization Over a Polyhedron, Naval Research Logistics Quarterly, 1985; On the Optimal Value Function for Certain Linear Programs with Unbounded Optimal Solution Sets, Journal of Optimization Theory and Applications, 1985; Optimization Over the Efficient Set, Journal of Mathematical Analysis and Applications, 1984; Efficiency and Proper Efficiency in Vector Maximization with Respect to Cones, Journal of Mathematical Analysis and Applications, 1983; On a Domination Property for Vector Maximization with Respect to Cones, Journal of Optimization Theory and Applications, 1983; Errata Corrige, 1984; Admissible Points of a Convex Polyhedron, Journal of Optimization Theory and Applications,1982; Algorithms for Parametric Nonconvex Programming, Journal of Optimization Theory and Applications, 1982; An Integrated Approach to the Analysis of Binary Choice Data, Applied Psychological Measurement, with G. W. Cermak and G. J. Lieberman, 1982; On the Convergence of Two Branch-and-Bound Algorithms for Nonconvex Programming Problems, Journal of Optimization Theory and Applications, 1982; Finding an Initial Efficient Extreme Point for a Linear Multiple Objective Program, The Journal of the Operational Research Society, 1981; An Improved Definition of Proper Efficiency for Vector Maximization with Respect to Cones, Journal of Mathematical Analysis and Applications, 1979; Vector Maximization with Two Objective Functions, Journal of Optimization Theory and Applications, 1979; Existence of Efficient Solutions for Vector Maximization Problems, Journal of Optimization Theory and Applications, 1978; The Vector Maximization Problem: Proper Efficiency and Stability, SIAM Journal on Applied Mathematics, with T. L. Morin, Current Associate Editorships: Journal of Optimization Theory and Applications Journal of Global Optimization. Current Editorial Board Memberships: International Journal of Computational and Numerical Analysis and Applications, 2000-present. International Journal for Rapid Publications in Mathematics, 2004-present.

5 International Journal of Information Systems for Logistics and Management, 2004-present. International Journal of Productivity and Quality Management 2005-present.

6 Grants and Consulting: Consultant for Registrar, University of Agriculture Malaysia, Selangor, Malaysia, present; National Science Foundation Research Grant, 1986; College of Business Administration Summer Research Grants, 1980, 1988, 1990, , , 2010; Consultant for American College Testing, Iowa City, Iowa, ; Consultant for Shares Services, Inc., Gainesville, Florida, 1988; Consultant for Pearson Education, Inc., Upper Saddle River, New Jersey, Research Honors and Awards: American Economic Institutions Professor of Information Systems and Operations Management, Warrington College of Business Administration, 2010-present. American Economic Institutions Faculty Fellow, Warrington College of Business Administration, Georg Cantor Lifetime Research Award from the International Society on Multiple Criteria Decision Making, Description of Award: As the highest form of recognition that the International Society on Multiple Criteria Decision Making bestows upon a researcher, who, over his distinguished career, has personified the spirit of independent inquiry and whose many innovative ideas and achievements are decidedly reflected in the theory, methodology, and practices of MCDM. (The International Society on Multiple Criteria Decision Making has 1470 members in 96 countries.) American Economic Institutions Professor, Warrington College of Business Administration, Knight-Ridder Professor, College of Business Administration, and Member, Phi Beta Kappa (honorary society) National Science Foundation Graduate Fellow in Operations Research, Teaching Honors and Awards: Warrington College of Business Administration Undergraduate Faculty Member of the Year, Decision and Information Sciences Department, (Recognized by Vote of the Warrington College of Business Administration Student Body).

7 College of Business Administration, Teaching Improvement Program Award Recipient, College of Business Administration, Highest Teacher Evaluation, First Year MBA Core Courses, Fall, College of Business Administration, Outstanding Teacher of the Year, Decision and Information Sciences,