Title

Inter-departure times in base-stock inventory-queues

Document Type

Journal article

Source Publication

Queueing Systems

Publication Date

8-2004

Volume

47

Issue

4

First Page

345

Last Page

361

Keywords

inventory-queue; base-stock policy; inter-departure time; birth–death process; Palm probability

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.

DOI

10.1023/B:QUES.0000036396.19059.3b

Print ISSN

02570130

E-ISSN

15729443

Publisher Statement

Copyright © 2004 Springer US.

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Full-text Version

Publisher’s Version

Recommended Citation

L. Bai, B. Fralix, L. Liu, & W. Shang (2004). Inter-departure times in base-stock inventory-queues. Queueing Systems, 47(4), 345-361. doi: 10.1023/B:QUES.0000036396.19059.3b