The unreliable M/M/1 retrial queue in a random environment
Document Type
Article
Publication Date
2-3-2012
Abstract
We examine an M/M/1 retrial queue with an unreliable server whose arrival, service, failure, repair, and retrial rates are all modulated by an exogenous random environment. Provided are conditions for stability, the (approximate) orbit size distribution, and mean queueing performance measures which are obtained via matrix-analytic methods. Additionally, we consider the problem of choosing arrival and service rates for each environment state with the objective of minimizing the steady state mean time spent in orbit by an arbitrary customer, subject to cost and revenue constraints. Two numerical examples illustrate the main results. Abstract © Taylor & Francis.
Source Publication
Stochastic Models (ISSN 1532-6349)
Recommended Citation
Cordeiro, J. D., & Kharoufeh, J. P. (2012). The Unreliable M/M/1 Retrial Queue in a Random Environment. Stochastic Models, 28(1), 29–48. https://doi.org/10.1080/15326349.2011.614478
Comments
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