An M/G/1 retrial queue with balking and retrials during service

An M/G/1 retrial queue with balking and retrials during service

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Article ID: iaor20061430
Country: United Kingdom
Volume: 1
Issue: 1/2
Start Page Number: 30
End Page Number: 51
Publication Date: Jan 2005
Journal: International Journal of Production Research
Authors: , , ,
Keywords: M/G/1 queues
Abstract:

We consider an M/G/1 retrial queue with general retrial times. Customers may balk or renege at particular times. The server is subject to breakdown (with repairs). While the server is being repaired, the customer in service can either remain in the service position or leave and return, while maintaining its rights to the server. We find a stability condition for this system. In the steady state, the joint distribution of the server state and queue length is obtained, leading to useful measures of the system, such as the probability of an empty system, the mean number of customers in the retrial queue and the expected retrial time.

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