A Feedback Retrial Queuing System with Starting Failures and Single Vacation

G. S.  Mokaddis; S. A. Metwally; B. M.  Zaki

doi:10.6180/jase.2007.10.3.01

A Feedback Retrial Queuing System with Starting Failures and Single Vacation

Physics

G. S. Mokaddis This email address is being protected from spambots. You need JavaScript enabled to view it.¹, S. A. Metwally¹ and B. M. Zaki¹

¹Ain Shams University, Faculty of Science, Department of Pure Mathematics, Cairo, Egypt

Received: November 12, 2004
Accepted: April 7, 2005
Publication Date: September 1, 2007

Download Citation: ||https://doi.org/10.6180/jase.2007.10.3.01

ABSTRACT

The M/G/1 retrial queue with Bernoulli feedback and single vacation is studied in this paper, 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 server leaves for a vacation as soon as the system becomes empty. When the server returns from the vacation and finds no customers, he waits free for the first customer to arrive from outside the system. The system size distribution at random points and various performance measures are derived. The general decomposition law is shown to hold good for this model also. Some of the existing results in [7] are deduced as special cases from our results.

Keywords: Feedback, Vacation, Starting Failures, Retrial Queues, Steady State

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