Mx/G/1 Queueing System With Breakdowns and Repairs

DJAMIL, AISSANI and DJAMILA, ZIREM and MOHAMED, BOUALEM (2016) Mx/G/1 Queueing System With Breakdowns and Repairs. In: Fourth International Conference on Advances in Information Processing and Communication Technology - IPCT 2016, 18-19 August 2016, Rome, Italy.

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Abstract

We consider an MX/G/1 queuing system with breakdown and repairs, where batches of customers are assumed to arrive in the system according to a compound poisson process. While the server is being repaired, the customer in service either remains the service position or enters a service orbit and keeps returning, after repair the server must wait for the customer to return. The server is not allowed to accepte new customers until the customer in service leaves the system. We find a stability condition for this system. In the steady state the joint distribution of the server state and queue length is obtained, and some performance mesures of the system, such as the mean number of customers in the retrial queue and waiting time, and some numerical results are presented to illustrate the effect of the system parameters on the developed performance measures.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: batch arrival, break down, repair.
Depositing User: Mr. John Steve
Date Deposited: 22 Mar 2019 11:54
Last Modified: 22 Mar 2019 11:54
URI: http://publications.theired.org/id/eprint/811

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