Article ID: | iaor20114773 |
Volume: | 132 |
Issue: | 1 |
Start Page Number: | 43 |
End Page Number: | 51 |
Publication Date: | Jul 2011 |
Journal: | International Journal of Production Economics |
Authors: | Levner Eugene, Cheng T C E, Perlman Yael, Levner Ilya |
Keywords: | inventory, networks: flow |
A multi‐echelon inventory system implies the existence of a hierarchy of stocking locations, and the dependence and interaction between them. We consider a multi‐echelon, spare‐part inventory management problem with outsourcing and backordering. The problem is characterized by deterministic repair time/cost, and supply and demand that lie within prescribed intervals and that vary over time. The objective is to minimize the total inventory and transportation costs. We develop a network model for problem analysis and present a network flow algorithm for solving the problem. We prove that the Wagner–Whitin property, known for the lot‐sizing problem, can be extended to the spare‐part inventory management problem under study.