Optimal arrangement of servers for a tollbooth tandem queue with two heterogeneous servers

被引：0
|
作者：
Kim, Bara [1 ]
Kim, Jeongsim [2 ]
机构：
[1] Korea Univ, Dept Math, 145 Anam Ro, Seoul 02841, South Korea
[2] Chungbuk Natl Univ, Dept Math Educ, 1 Chungdae-ro, Cheongju 28644, Chungbuk, South Korea
来源：
OPERATIONS RESEARCH LETTERS | 2025年 / 59卷
基金：
新加坡国家研究基金会;
关键词：
Tollbooth tandem queue; Optimal arrangement; Regenerative process;
D O I：
10.1016/j.orl.2024.107222
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 consider a tollbooth tandem queue with a Poisson arrival process and two heterogeneous servers of exponential service times. We show that performance measures, such as queue length, system size, waiting time and sojourn time, are stochastically larger when a server with a larger service rate is used as the first server. Our results include a rigorous proof of the observation made by He and Chao (2014) and Do (2015) regarding the performance comparison between two alternative server arrangements.
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页数：6
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