Strategic behavior in a time-limited Markovian polling queue with service rate regeneration

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

Operations Research Letters Pub Date : 2024-12-18 DOI:10.1016/j.orl.2024.107236

Yuanyuan Liu, Zhaozeng Yan

引用次数: 0

Abstract

This paper studies a time-limited Markovian polling queueing system with service rate regeneration. When the server moves to a new station, it announces the next station to open based on a given discrete-time Markov chain. We calculate the expected waiting time for customers in each queue, which is shown to be monotonic with respect to their position in the queue. Personal optimal thresholds for the customers are then determined, and an optimal joining strategy is proposed based on these thresholds.

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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.