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

被引:0
作者
Liu, Yuanyuan [1 ]
Yan, Zhaozeng [1 ]
机构
[1] Cent South Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Threshold; Joining strategy; Markovian polling queue; Service rate regeneration; Time-limited service; SYSTEMS;
D O I
10.1016/j.orl.2024.107236
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
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.
引用
收藏
页数:6
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