Reliability and Optimization Measures of Retrial Queue with Different Classes of Customers under a Working Vacation Schedule

被引:5
作者
Muthusamy, Sundararaman [1 ]
Devadoss, Narasimhan [1 ]
Ammar, Sherif I. [2 ]
机构
[1] SASTRA Deemed Univ, Srinivasa Ramanujan Ctr, Dept Math, Kumbakonam, Tamil Nadu, India
[2] Menoufia Univ, Dept Math, Shebin El Koum 32511, Egypt
关键词
SERVER BREAKDOWN; M/G/1; QUEUE; PRIORITY; ERGODICITY; NETWORKS; SUBJECT;
D O I
10.1155/2022/6806104
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A working vacation queueing model is described in this work, with three different classes of customers: regular, priority, and disaster. The regular server serves all arriving customers, whereas the optional reservice is only provided to those who request it. The Bernoulli working vacation (BWV) schedule is considered. In WV time, the server serves at a slower rate. The generating functions (GF) technique is used to determine the system capacity of various server states. Different system performances, reliability indices, and cost optimization values are numerically shown. For the current COVID-19 pandemic situation, the motivation for this approach is presented in a telephonic communication system.
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收藏
页数:17
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