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

B. Krishna Kumar and S. Pavai Madheswari

International Journal of Operational Research, 2009, vol. 5, issue 1, 48-72

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. (search for similar items in EconPapers)
Date: 2009
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