Title: Analysis of an M/M/N queue with Bernoulli service schedule

Authors: B. Krishna Kumar, S. Pavai Madheswari

Addresses: Department of Mathematics, College of Engineering, Anna University, Chennai-600 025, India. ' Department of Mathematics, R.M.K. Engineering College, Kavaraipettai-601206, India

Abstract: In this paper, a Markovian multiple server queue in which each server takes vacation according to Bernoulli scheduling service has been studied. For this system, the stationary queue length distribution and several performance characteristics are obtained using the matrix geometric solution technique. The system busy period and waiting time distribution have been discussed. The 1-limited service and exhaustive service with multiple vacations have been analysed as special cases. Extensive numerical illustrations are provided.

Keywords: multiple server queues; Bernoulli vacation; matrix geometric; system size; busy period; mean waiting times; scheduling; stationary queue length distribution.

DOI: 10.1504/IJOR.2009.024529

International Journal of Operational Research, 2009 Vol.5 No.1, pp.48 - 72

Published online: 08 Apr 2009 *

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