Journal of Applied Mathematics and Decision Sciences
Volume 8 (2004), Issue 3, Pages 191-200
doi:10.1155/S1173912604000124

Duals for classical inventory models via generalized geometric programming

Carlton H. Scott,1 Thomas R. Jefferson,2 and Soheila Jorjani3

1University of California Irvine, Graduate School of Management, Irvine 92697, California, USA
2University of Florida, Gainesville, Warrington College of Business, Decision and Information Sciences Department, Gainesville 32611, Florida, USA
3California State University San Marcos, College of Business, High Technology Management Department, San Marcos 92096, CA, USA

Copyright © 2004 Carlton H. Scott et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Inventory problems generally have a structure that can be exploited for computational purposes. Here, we look at the duals of two seemingly unrelated inventory models that suggest an interesting duality between discrete time optimal control and optimization over an ordered sequence of variables. Concepts from conjugate duality and generalized geometric programming are used to establish the duality.