The disasters queue with working breakdowns and impatient customers*

被引：5

作者：

Zhang, Mian ^{[1
]}

Gao, Shan ^{[1
]}

机构：

[1] Fuyang Normal Coll, Dept Math, Fuyang 236032, Anhui, Peoples R China

来源：

RAIRO-OPERATIONS RESEARCH | 2020年 / 54卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Queue; disaster; working breakdown; impatient customer; M/G/1; QUEUE; M/M/1; SINGLE; NETWORKS;

D O I：

10.1051/ro/2019036

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 M/M/1 queue with disasters and impatient customers. Disasters only occur when the main server being busy, it not only removes out all present customers from the system, but also breaks the main server down. When the main server is down, it is sent for repair. The substitute server serves the customers at a slow rate(working breakdown service) until the main server is repaired. The customers become impatient due to the working breakdown. The system size distribution is derived. We also obtain the mean queue length of the model and mean sojourn time of a tagged customer. Finally, some performance measures and numerical examples are presented.

引用

页码：815 / 825

页数：11

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