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

Authors: Xiaoyong Wu, Percy Brill, Myron Hlynka, Jinting Wang

Addresses: Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario N9B 3P4, Canada. ' Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario N9B 3P4, Canada. ' Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario N9B 3P4, Canada. ' Department of Mathematics, Beijing Jiaotong University, 100044 Beijing, PR China

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.

Keywords: retrial queues; probability generating functions; balking; breakdown; repair; reserved servers; supplementary variables.

DOI: 10.1504/IJOR.2005.007432

International Journal of Operational Research, 2005 Vol.1 No.1/2, pp.30 - 51

Published online: 20 Jul 2005 *

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