The M/G/1 retrial queue with feedback and starting failures

被引：76

作者：

Kumar, BK ^{[1
]}

Madheswari, SP ^{[1
]}

Vijayakumar, A ^{[1
]}

机构：

[1] Anna Univ, Dept Math, Madras 600025, Tamil Nadu, India

来源：

APPLIED MATHEMATICAL MODELLING | 2002年 / 26卷 / 11期

关键词：

retrial queues; feedback; starting failures; steady state; vacation; stochastic decomposition;

D O I：

10.1016/S0307-904X(02)00061-6

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper discusses a retrial queue with Bernoulli feedback, where the server is subjected to starting failure. The retrial time is assumed to follow an arbitrary distribution and the customers in the orbit access the server under FCFS discipline. The necessary and sufficient condition for the stability of the system is derived. Various performance measures are obtained. Some numerical results are illustrated. The general decomposition law is shown to hold good for this model also. Some of the existing results are deduced as special cases. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：1057 / 1075

页数：19

共 50 条

[1] The BMAP/G/1 Retrial Queue with Feedback and Starting Failures
Zhang Mian
[J]. MANAGEMENT ENGINEERING AND APPLICATIONS, 2010, : 177 - 183
[2] THE M/G/1 RETRIAL QUEUE WITH THE SERVER SUBJECT TO STARTING FAILURES
YANG, T
LI, H
[J]. QUEUEING SYSTEMS, 1994, 16 (1-2) : 83 - 96
[3] A discrete time Geo/G/1 retrial queue with balking,feedback and starting failures
Chen, Pei-shu
Zhu, Yi-juan
Zhou, Zong-hao
[J]. 2009 SECOND INTERNATIONAL CONFERENCE ON FUTURE INFORMATION TECHNOLOGY AND MANAGEMENT ENGINEERING, FITME 2009, 2009, : 143 - +
[4] Mx/G/1 Retrial Queue with Multiple Vacations and Starting Failures
B. Krishna Kumar
S. Pavai Madheswari
[J]. OPSEARCH, 2003, 40 (2) : 115 - 137
[5] A BATCH ARRIVAL RETRIAL QUEUE WITH STARTING FAILURES,FEEDBACK AND ADMISSION CONTROL
Jinting WANG Peng-Feng ZHOU Department of Mathematics
[J]. Journal of Systems Science and Systems Engineering, 2010, 19 (03) : 306 - 320
[6] A batch arrival retrial queue with starting failures, feedback and admission control
Jinting Wang
Peng-Feng Zhou
[J]. Journal of Systems Science and Systems Engineering, 2010, 19 : 306 - 320
[7] A BATCH ARRIVAL RETRIAL QUEUE WITH STARTING FAILURES, FEEDBACK AND ADMISSION CONTROL
Wang, Jinting
Zhou, Peng-Feng
[J]. JOURNAL OF SYSTEMS SCIENCE AND SYSTEMS ENGINEERING, 2010, 19 (03) : 306 - 320
[8] Discrete-time Geo/G/1 retrial queue with general retrial times and starting failures
Wang, Jinting
Zhao, Qing
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2007, 45 (7-8) : 853 - 863
[9] Decomposition property of the M/G/1 retrial queue with feedback and general retrial times
Djellab, Natalia
Boussaha, Zina
[J]. SOR'07: PROCEEDINGS OF THE 9TH INTERNATIONAL SYMPOSIUM ON OPERATIONAL RESEARCH IN SLOVENIA, 2007, : 91 - 94
[10] Analysis of repairable M-[X]/(G(1), G(2))/1 - feedback retrial G-queue with balking and starting failures under at most J vacations
Rajadurai, P.
Saravanarajan, M. C.
Chandrasekaran, V. M.
[J]. APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (02): : 694 - 717

← 1 2 3 4 5 →