New results in retrial queueing systems with breakdown of the servers

J.R. Artalejo

55 citations0/0 files storedStatistica Neerlandica

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Advanced Queuing Theory Analysis Probability and Risk Models Age of Information Optimization

Abstract

We consider retrial queues with servers that are subject to active breakdowns. First, we concentrate on Markovian queueing models. For the multiserver case we obtain sufficient conditions for ergodicity. For the singleserver case we introduce new performance measures: the “orbit” idle period and the “orbit” busy period. Further, we investigate the asymptotic behaviour under high intensity of retrials. We also give an algorithm to compute the steady‐state probabilities for theM/G/lretrial queue with breakdowns. The algorithm is based on a regenerative approach.

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References

1990A survey of retrial queues 1962A Waiting Line with Interrupted Service, Including Priorities 1987A survey on retrial queues 1989A survey on retrial queues 1958Queuing with Preemptive Priorities or with Breakdown 1990Retrial queues with server subject to breakdowns and repairs

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2006A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs 2012Performance analysis of the retrial queues with finite number of sources and service interruptions 2007A discrete-time Geo/G/1 retrial queue with starting failures and second optional service 2011Analysis of the finite source retrial queues with server breakdowns and repairs 2007An M [X]/G/1 retrial queue with server breakdowns and constant rate of repeated attempts 2012The UnreliableM/M/1 Retrial Queue in a Random Environment 2010An retrial queue with an unreliable server and general repair times 1999On a single server queue with negative arrivals and request repeated

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