The performance measures and randomized optimization for an unreliable server \(M^{[x]}/G/1\) vacation system

DOI10.1016/j.amc.2011.03.008zbMath1218.60080OpenAlexW2073589246MaRDI QIDQ545972

Wen Lea Pearn, Kai-Bin Huang, Jau-Chuan Ke

Publication date: 24 June 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.008

zbMATH Keywords

reliabilityvacationssupplementary variable techniqueserver breakdownBatch arrival queuerandomized control

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Reliability, availability, maintenance, inspection in operations research (90B25)

Related Items (12)

Cost optimization of a repairable M/G/1 queue with a randomized policy and single vacation ⋮ A single server queueing system with two phases of service subject to server breakdown and Bernoulli vacation ⋮ Analysis of an unreliable MX/G1G2/1/repeated service queue with delayed repair under randomized vacation policy ⋮ A novel analytic technique for the service station reliability in a discrete-time repairable queue ⋮ On the discrete-time system with server breakdowns: Computational algorithm and optimization algorithm ⋮ Reliability analysis of two-unit cold standby repairable systems under Poisson shocks ⋮ Performance analysis of a discrete-time \(Geo/G/1\) queue with randomized vacations and at most \(J\) vacations ⋮ Unnamed Item ⋮ Study on the departure process of discrete-time \(Geo/G/1\) queue with randomized vacations ⋮ Analysis of a discrete-time repairable queue with disasters and working breakdowns ⋮ An unreliable Geo/G/1 queue with startup and closedown times under randomized finite vacations ⋮ An M^X/G/1 queue with randomized working vacations and at mostJvacations

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