MODELLING AND ANALYSIS OF A BULK SERVICE QUEUEING MODEL WITH MULTIPLE WORKING VACATIONS AND SERVER BREAKDOWN

被引：12

作者：

Jeyakumar, S. ^{[1
]}

Senthilnathan, B. ^{[2
]}

机构：

[1] Govt Arts Coll, Dept Math, Coimbatore, Tamil Nadu, India

[2] Jansons Inst Technol, Dept Math, Coimbatore, Tamil Nadu, India

来源：

RAIRO-OPERATIONS RESEARCH | 2017年 / 51卷 / 02期

关键词：

Queue; bulk service; multiple working vacations; server breakdown; supplementary variables; N-POLICY;

D O I：

10.1051/ro/2016037

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：

In this paper, a single server queue with variable batch size service, Poisson bulk arrival with multiple working vacations and server breakdown is considered. In working vacation, the server works with different rates rather than completely stoping the service during the vacation period. In this model, during the working vacation the server starts the service if it finds at least one customer in the queue with a maximum of 'b' customers, otherwise the server serves with variable batch size. Service time in working vacation and in regular period follows general distribution. The probability generating function of a queue size at an arbitrary time epoch as well as other completion epochs is derived. Expected queue length in a steady state is obtained. Also a numerical illustration is presented.

引用

页码：485 / 508

页数：24

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