EQUILIBRIUM BALKING STRATEGIES IN THE OBSERVABLE GEO/GEO/1 QUEUE WITH DELAYED MULTIPLE VACATIONS

被引：4

作者：

Gao, Shan ^{[1
]}

Wang, Jinting ^{[2
]}

机构：

[1] Fuyang Normal Coll, Dept Math & Stat, Fuyang 236037, Anhui, Peoples R China

[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

来源：

RAIRO-OPERATIONS RESEARCH | 2016年 / 50卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Economics of queues; delayed multiple vacations; equilibrium balking strategies; stationary distribution; SERVER MARKOVIAN QUEUE; BEHAVIOR;

D O I：

10.1051/ro/2015019

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 the discrete-time Markovian single-server queue under delayed multiple vacations. Upon arriving, the customers observe the queue length and decide whether to join or balk. We derive equilibrium threshold balking strategies in two cases, according to the information for the server's state. We also illustrate the equilibrium thresholds and the social benefits for systems via numerical experiments.

引用

页码：119 / 129

页数：11

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