Base‐stock policies in capacitated assembly systems: Convexity properties |
| |
Authors: | Woonghee Tim Huh Ganesh Janakiraman |
| |
Affiliation: | 1. Operations and Logistics Division, Sauder School of Business, University of British Columbia, Canada;2. School of Management, The University of Texas at Dallas, Richardson, Texas 3. 75080, USA |
| |
Abstract: | We study an assembly system with a single finished product managed using an echelon base‐stock or order‐up‐to policy. Some or all operations have capacity constraints. Excess demand is either backordered in every period or lost in every period. We show that the shortage penalty cost over any horizon is jointly convex with respect to the base‐stock levels and capacity levels. When the holding costs are also included in the objective function, we show that the cost function can be written as a sum of a convex function and a concave function. Throughout the article, we discuss algorithmic implications of our results for making optimal inventory and capacity decisions in such systems.© 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2010 |
| |
Keywords: | Inventory Multi‐Echelon Base‐stock Convexity |
|
|