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• W2105044250 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." @default.
• W2105044250 created "2016-06-24" @default.
• W2105044250 creator A5038737321 @default.
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• W2105044250 date "2012-01-01" @default.
• W2105044250 modified "2023-09-23" @default.
• W2105044250 title "The Unreliable<i>M</i>/<i>M</i>/1 Retrial Queue in a Random Environment" @default.
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• W2105044250 doi "https://doi.org/10.1080/15326349.2011.614478" @default.
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