4.7 Article

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

期刊

APPLIED MATHEMATICAL MODELLING
卷 26, 期 11, 页码 1057-1075

出版社

ELSEVIER SCIENCE INC
DOI: 10.1016/S0307-904X(02)00061-6

关键词

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

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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.

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