Abstract
An inventory-queue is an inventory system controlled by a processing station with queueing. They are natural building blocks for supply chain models. An important and largely open issue for inventory queues is the characterization of their departure processes. In an inventory-queue, departures are triggered either by a job arrival when the output buffer is not empty or otherwise by a service completion. Such departures are more difficult to analyze than departures from a standard queue. The main results in this study are expressions for the probability distributions and squared coefficient of variations of inter-departure times for base-stock inventory-queues with birth–death production processes.
| Original language | English |
|---|---|
| Pages (from-to) | 345-361 |
| Number of pages | 17 |
| Journal | Queueing Systems |
| Volume | 47 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Aug 2004 |
| Externally published | Yes |
Bibliographical note
The authors are very grateful to Richard Serfozo for his comments and suggestions which helped us to correct an error in the early version and to improve the content and the style of paper substantially. The authors are also very grateful to Marcel Neuts for helpful discussions.Keywords
- inventory-queue; base-stock policy; inter-departure time; birth–death process; Palm probability