Article ID: | iaor19992178 |
Country: | Netherlands |
Volume: | 106 |
Issue: | 1 |
Start Page Number: | 74 |
End Page Number: | 81 |
Publication Date: | Apr 1998 |
Journal: | European Journal of Operational Research |
Authors: | Akella Ram, Bollapragada Srinivas, Srinivasan Ramesh |
Keywords: | production |
We consider a depot–warehouse distribution system in which demand occurs at the warehouse level. At the beginning of every period the depot places an order from an external supplier which arrives after a fixed lead time. The received order is then shipped to the warehouses. The depot itself does not hold any inventory. There are non-zero shipment lead times from the depot to the warehouses. Linear holding costs are incurred at the warehouses and unsatisfied demands are backlogged at a linear penalty cost. Our work is a generalization of earlier work by Eppen and Schrage, to allow for non-identical warehouses. We present a simple and easy-to-implement allocation policy and derive an explicit expression for the optimal order quantity under the inventory balance allocation assumption used earlier by other researchers. A computational study is presented to evaluate the accuracy of the proposed solution.