A Multi Server Markovian Working Vacation Queue with Server State Dependent Rates and with Partial Breakdown

被引：0
|
作者：
Sundaramoorthy, A. [1 ]
Kalyanaraman, R. [2 ]
机构：
[1] CK Coll Engn & Technol, Dept Math, Cuddalore 607003, Tamilnadu, India
[2] Annamalai Univ, Dept Math, Annamalainagar 608002, Tamilnadu, India
来源：
APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2024年 / 19卷 / 01期
关键词：
Markovian queue; Multi server; Partial breakdown; Steady-state probability vector; Working vacation; State dependent arrival rate; Matrix-Geometric method; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider an M/M/C queue in which the arrival rate and service rate depends on the state of the system. In addition, the servers takes working vacation and the system may breakdown. Whenever breakdown takes place, the repair process immediately commences. During the repair period the customers are given service in a reduced service rate. Based on the vacation termination point, two models have been defined. The steady state probability vector of the number of customers in the queue and the stability condition are obtained using Matrix-Geometric method. The stationary waiting time distributions have been obtained. Some illustrative examples are also provided.
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页数：22
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