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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1997年 / 33卷 / 10期

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

页码：79 / 88

页数：10

共 11 条

[1]

Choi B.D., 1990, QUEUEING SYST, V7, P219

[2] NEW RESULTS IN THE THEORY OF REPEATED ORDERS QUEUING SYSTEMS [J].

CHOO, QH ;

CONOLLY, B .

JOURNAL OF APPLIED PROBABILITY, 1979, 16 (03) :631-640

[3]

Falin G., 1990, Queueing Systems Theory and Applications, V7, P127, DOI 10.1007/BF01158472

[4]

Falin G. I., 1993, Queueing Systems Theory and Applications, V14, P439, DOI 10.1007/BF01158878

[5] ON SUFFICIENT CONDITIONS FOR ERGODICITY OF MULTICHANNEL QUEUING-SYSTEMS WITH REPEATED CALLS [J].

FALIN, GI .

ADVANCES IN APPLIED PROBABILITY, 1984, 16 (02) :447-448

[6] ON THE STOCHASTIC MATRICES ASSOCIATED WITH CERTAIN QUEUING PROCESSES [J].

FOSTER, FG .

ANNALS OF MATHEMATICAL STATISTICS, 1953, 24 (03) :355-360

[7] NONPREEMPTIVE PRIORITY QUEUE WITH BINOMIAL INPUT [J].

RAJESWARI, AR .

OPERATIONS RESEARCH, 1968, 16 (02) :416-+

[8]

Takagi H., 1993, DISCRETE TIME SYSTEM, V3

[9]

Takahashi Y., 1991, Queueing Systems Theory and Applications, V8, P149, DOI 10.1007/BF02412247

[10] On the steady-state queue size distribution of the discrete-time Geo/G/1 queue with repeated customers [J].

Yang, T ;

Li, H .

QUEUEING SYSTEMS, 1995, 21 (1-2) :199-215

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