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

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2024-12-12 DOI:10.1016/j.orl.2024.107222

Bara Kim , Jeongsim Kim

引用次数: 0

Abstract

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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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.