Recursive method to calculate reliability of \((M,N)\) systems with service facility and general vacation for repairman

DOI10.1007/BF03398777zbMath1153.90380OpenAlexW2771592953MaRDI QIDQ998706

G. Arulmozhi

Publication date: 9 February 2009

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03398777

zbMATH Keywords

reliabilitygeneral distributionsembedded Markov chainsteady state probabilities

Mathematics Subject Classification ID

Reliability, availability, maintenance, inspection in operations research (90B25) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Cites Work

• Direct method for reliability computation of \(k\)-out-of-\(n\): G systems.
• Reliability of an m-out-of-N warm standby system with \(R\) repair facilities.
• \(N\)-policy queueing system with finite source and warm spares.
• Technical Note—A Note on the M/G/1 Queue with Server Vacations
• GI/M/1 Queue with Server Vacations
• On the M/G/1 Queue with Rest Periods and Certain Service-Independent Queueing Disciplines
• A note on stochastic decomposition in a GI/G/1 queue with vacations or set-up times
• A GI/M/1 queue with rest periods Jacob
• An M/M/s Queue With Servers’ Vacations
• Analysis of the M^x/G/1 queue by N-policy and multiple vacations
• Stochastic Comparisons in Vacations Models Tedijanto
• ANALYSIS OF AN M/G/1//N QUEUE WITH MULTIPLE SERVER VACATIONS, AND ITS APPLICATION TO A POLLING MODEL
• Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain

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