Discussion on the transient solution of single server Markovian multiple variant vacation queues with disasters

被引：6

作者：

Vadivukarasi, M. ^{[1
]}

Kalidass, K. ^{[1
]}

机构：

[1] Karpagam Acad Higher Educ, Dept Math, Coimbatore 641021, Tamil Nadu, India

来源：

OPSEARCH | 2022年 / 59卷 / 04期

关键词：

Disasters; Time dependent analysis; Steady state probabilities; Multiple variant vacations; M/M/1 QUEUING SYSTEM; CUSTOMERS; BEHAVIOR; SERVICE; SUBJECT; POLICY;

D O I：

10.1007/s12597-022-00574-4

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 single server Markovian queue with the possibility of catastrophes at the service station. In this model, the server takes a maximum number of J vacations till it finds at least one customer in the queue at a vacation completion instant. The time dependent probabilities of the system size are obtained. Four special cases are derived from the model presented in this study. Finally, some numerical computations are presented.

引用

页码：1352 / 1376

页数：25

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