An M/M/1 system with an unreliable device and a threshold recovery policy

Dmitry Efrosinin · Olga Semenova

19 citations0/0 files storedJournal of Communications Technology and Electronics

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Advanced Queuing Theory Analysis Reliability and Maintenance Optimization Age of Information Optimization

Abstract

An M/M /1 queueing system with an unreliable device is considered in the study. The device fails in an exponentially distributed time during which it is in the working condition and serves a demand. The device recovers during an exponentially distributed time according to the threshold policy specified by threshold level q ≥ 1. After a successive failure, the device does not recover until the number of demands exceeds level q . In the study, the system operating in the stationary regime is analyzed and the problem of optimal recovery control aimed at the minimization of the mean cost for a given penalty structure is solved.

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2012Cost analysis of a finite capacity queue with server breakdowns and threshold-based recovery policy

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