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The warm-standby M/M/R machine repair problem with balking, reneging and service pressure coefficient

The warm-standby M/M/R machine repair problem with balking, reneging and service pressure... This paper studies the warm-standby M/M/R machine repair problem with balking and reneging plus service pressure coefficient. Failed machines balk (do not enter) with a constant probability (1 – b ) and renege (leave the queue after entering) according to a negative exponential distribution. We use the birth-and-death results to derive the steady-state probabilities, using which various system performance measures that can be obtained. A cost model is constructed to determine the joint optimal values of the number of repairmen, the number of warm standbys, and the joint optimal values of the service rate and the balking rate simultaneously by using twostage optimisation method. Numerical results are provided to illustrate the effectiveness of the two-stage optimisation algorithm. Sensitivity analysis is also investigated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Services Operations and Informatics Inderscience Publishers

The warm-standby M/M/R machine repair problem with balking, reneging and service pressure coefficient

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Publisher
Inderscience Publishers
Copyright
Copyright © Inderscience Enterprises Ltd. All rights reserved
ISSN
1741-539X
eISSN
1741-5403
DOI
10.1504/IJSOI.2013.059354
Publisher site
See Article on Publisher Site

Abstract

This paper studies the warm-standby M/M/R machine repair problem with balking and reneging plus service pressure coefficient. Failed machines balk (do not enter) with a constant probability (1 – b ) and renege (leave the queue after entering) according to a negative exponential distribution. We use the birth-and-death results to derive the steady-state probabilities, using which various system performance measures that can be obtained. A cost model is constructed to determine the joint optimal values of the number of repairmen, the number of warm standbys, and the joint optimal values of the service rate and the balking rate simultaneously by using twostage optimisation method. Numerical results are provided to illustrate the effectiveness of the two-stage optimisation algorithm. Sensitivity analysis is also investigated.

Journal

International Journal of Services Operations and InformaticsInderscience Publishers

Published: Jan 1, 2013

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