Discrete-time Geo(1), Geo(2)/G/1 retrial queueing systems with two types of calls

被引:36
作者
Choi, BD [1 ]
Kim, JW [1 ]
机构
[1] KOREA ADV INST SCI & TECHNOL,CTR APPL MATH,YUSONG GU,TAEJON 305701,SOUTH KOREA
关键词
balance equation; foster criteria; Markov chain; retrial queue;
D O I
10.1016/S0898-1221(97)00078-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a discrete-time Geo(1), Geo(2)/G/1 retrial queue with two types of calls. When arriving calls are blocked due to the server being busy, Type I calls are queued in the priority queue with infinite capacity whereas, Type II calls enter the retrial group in order to try service again after a random amount of time. We find the joint generating function of the number of calls in the priority queue and the number of calls in the retrial group in a closed form. It is shown that our results are consistent with those already known for special cases.
引用
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页码:79 / 88
页数:10
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