Dynamic-Programming Approximations for Stochastic Time-Staged Integer Multicommodity-Flow Problems

  • Authors:
  • Huseyin Topaloglu;Warren B. Powell

  • Affiliations:
  • School of Operations Research and Industrial Engineering, Cornell University, Ithaca, New York 14853, USA;Department of Operations Research and Financial Engineering, Princeton University, Princeton, New Jersey 08544, USA

  • Venue:
  • INFORMS Journal on Computing
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

In this paper, we consider a stochastic and time-dependent version of the min-cost integer multicommodity-flow problem that arises in the dynamic resource allocation context. In this problem class, tasks arriving over time have to be covered by a set of indivisible and reusable resources of different types. The assignment of a resource to a task removes the task from the system, modifies the resource, and generates a profit. When serving a task, resources of different types can serve as substitutes of each other, possibly yielding different revenues. We propose an iterative, adaptive dynamic-programming-based methodology that makes use of linear or nonlinear approximations of the value function. Our numerical work shows that the proposed method provides high-quality solutions and is computationally attractive for large problems.