Analysis of an M/M/N queue with Bernoulli service schedule. (9th April 2009)

• Record Type: Journal Article
• Authors: Krishna Kumar, B.; Pavai Madheswari, S.
• Is Part Of: International journal of operational research. Volume 5:Number 1(2009)
• Page Start: 48
• Page End: 72
• Publication Date: 2009-04-09
• Subjects: multiple server queues -- Bernoulli vacation -- matrix geometric -- system size -- busy period -- mean waiting times -- scheduling -- stationary queue length distribution; Operations research -- Periodicals; 003.05
• Languages: English
• ISSNs: 1745-7645

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.