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IOE 899: Seminar in Industrial and Operations Engineering
Wed Sep 30, 2009, 4:00-5:00pm, 1680 IOE

Joseph Geunes, University of Florida
"Optimal Allocation of Stock Levels and Stochastic Customer Demands to a Capacitated Resource"

Abstract
We consider a class of stochastic resource allocation problems that requires simultaneously determining the customers that a capacitated resource must serve and the stock levels of multiple items that may be used in meeting these customers' demands. Our model considers a reward (revenue) for serving each assigned customer, a variable cost for allocating each item to the resource, and a shortage cost for each unit of unsatisfied customer demand in a single-period context. The model maximizes the expected profit resulting from the assignment of customers and items to the resource while obeying the resource capacity constraint. We provide an exact solution method for this mixed integer nonlinear optimization problem using a Generalized Benders Decomposition approach. This decomposition approach uses Lagrangian relaxation to solve a constrained multi-item newsvendor subproblem and uses CPLEX to solve a mixed-integer linear Master Problem. We generate Benders cuts for the master problem by obtaining a series of subgradients of the subproblem's convex objective function. In addition, we present a family of heuristic solution approaches and compare our methods with a commercial solver in order to benchmark their efficiency and quality.
 
Bio
Joseph Geunes has been on the faculty of the Industrial and Systems Engineering Department at the University of Florida since 1998. His research focuses on applying operations research techniques to large-scale production and logistics planning problems. Professor Geunes serves as Co-Director of the Supply Chain And Logistics Engineering (SCALE) Research Center and as Director of the Outreach Engineering Management professional Master’s Degree program at the University of Florida. He has co-authored more than 30 peer-reviewed journal articles, which have appeared in journals such as Operations Research, Manufacturing & Service Operations Management, IIE Transactions, and Naval Research Logistics. He also serves as an Associate Editor for OMEGA, Computers & IE, and Decision Sciences, and is on the editorial boards of Production and Operations Management and the International Journal of Inventory Research. Professor Geunes received a Ph.D. (1999) and MBA (1993) from Penn State University, as well as a B.S. in Electrical Engineering (1990) from Drexel University.

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