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

页码：212 / 217

页数：6

共 50 条

[21] An approximate method for solving stochastic two-stage programming problems
Wang, ML
Lansey, K
Yakowitz, D
[J]. ENGINEERING OPTIMIZATION, 2001, 33 (03) : 279 - 302
[22] Unconditional elasticities in two-stage demand systems: An approximate solution
Carpentier, A
Guyomard, H
[J]. AMERICAN JOURNAL OF AGRICULTURAL ECONOMICS, 2001, 83 (01) : 222 - 229
[23] Two-Stage Clustering Based on Cluster Validity Measures
Hamasuna, Yukihiro
Ozaki, Ryo
Endo, Yasunori
[J]. JOURNAL OF ADVANCED COMPUTATIONAL INTELLIGENCE AND INTELLIGENT INFORMATICS, 2018, 22 (01) : 54 - 61
[24] Deviation measures in linear two-stage stochastic programming
Kristoffersen, TK
[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2005, 62 (02) : 255 - 274
[25] Deviation Measures in Linear Two-Stage Stochastic Programming
Trine Krogh Kristoffersen
[J]. Mathematical Methods of Operations Research, 2005, 62 : 255 - 274
[26] Comparison of the optimal performance of single- and two-stage thermoelectric refrigeration systems
Chen, JC
Zhou, YH
Wang, HJ
Wang, JT
[J]. APPLIED ENERGY, 2002, 73 (3-4) : 285 - 298
[27] PERFORMANCE MEASURES FOR THE TWO-NODE QUEUE WITH FINITE BUFFERS
Chen, Yanting
Bai, Xinwei
Boucherie, Richard J.
Goseling, Jasper
[J]. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2020, 34 (04) : 522 - 549
[28] Performance optimization for two-stage thermoelectric refrigerator system driven by two-stage thermoelectric generator
Meng, Fankai
Chen, Lingen
Sun, Fengrui
[J]. CRYOGENICS, 2009, 49 (02) : 57 - 65
[29] A two-stage tandem queue attended by a moving server with holding and switching costs
[J]. Queueing Syst, 3-4 (203):
[30] A two-stage tandem queue attended by a moving server with holding and switching costs
Iravani, SMR
Posner, MJM
Buzacott, JA
[J]. QUEUEING SYSTEMS, 1997, 26 (3-4) : 203 - 228

← 1 2 3 4 5 →