Analysis of Unreliable Retrial Queue with Heterogeneous Servers and Markovian Arrival Process

被引：2
|
作者：
Mei, Liu [1 ]
Dudin, Alexander [1 ,2 ]
机构：
[1] Belarusian State Univ, Minsk, BELARUS
[2] RUDN Univ, Peoples Friendship Univ Russia, Moscow 117198, Russia
来源：
AUTOMATIC CONTROL AND COMPUTER SCIENCES | 2022年 / 56卷 / 05期
关键词：
retrial queue; heterogeneous servers; breakdowns; ergodicity condition; stationary distribution;
D O I：
10.3103/S0146411622050078
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We considered multi-server retrial queue with heterogeneous servers. Servers are distinguished by the rates of service, breakdowns and repairs. Arrivals of customers are described by the Markov arrival process. Arriving customer occupies the available server with the minimal number. Customers who meet all servers busy move to the orbit to retry access to the servers later on. The orbit capacity is infinite. The total retrial rate is assumed to be an infinitely increasing function of the number of customers staying in the orbit. Stationary behavior of the system is analyzed, numerical illustrations are presented.
引用
收藏
页码：411 / 420
页数：10
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