Approximate performance measures for a single station two-stage reneging queue

被引：2

作者：

Sasanuma, Katsunobu ^{[1
]}

Scheller-Wolf, Alan ^{[2
]}

机构：

[1] SUNY Stony Brook, Coll Business, Stony Brook, NY 11794 USA

[2] Carnegie Mellon Univ, Tepper Sch Business, Pittsburgh, PA 15213 USA

来源：

OPERATIONS RESEARCH LETTERS | 2021年 / 49卷 / 02期

关键词：

Single station; Two-stage queue; Exponential reneging; Markov chain decomposition;

D O I：

10.1016/j.orl.2021.01.004

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

We study a single station two-stage reneging queue with Poisson arrivals, exponential services, and two levels of exponential reneging behaviors, extending the popular Erlang A model that assumes a constant reneging rate. We derive approximate analytical formulas representing performance measures for our two-stage queue following the Markov chain decomposition approach. Our formulas not only give accurate results spanning the heavy-traffic to the light-traffic regimes, but also provide insight into capacity decisions. (C) 2021 Elsevier B.V. All rights reserved.

引用

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页码：212 / 217

页数：6

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