A study on the behaviour of the server breakdown without interruption in a \(M^{x}/G(a,b)/1\) queueing system with multiple vacations and closedown time

DOI10.1016/j.amc.2012.08.096zbMath1308.90049OpenAlexW2064652010MaRDI QIDQ2017933

S. Jeyakumar, B. Senthilnathan

Publication date: 23 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.096

zbMATH Keywords

queuesupplementary variablesmultiple vacationserver breakdownbulk serviceclosedown times

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (7)

An \(\mathrm{M}^{[X}/\mathrm{G}(a,b)/1\) queueing system with breakdown and repair, stand-by server, multiple vacation and control policy on request for re-service] ⋮ Unnamed Item ⋮ Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation ⋮ Performance analysis of an infinite-buffer batch-size-dependent bulk service queue with server breakdown and multiple vacation ⋮ Unnamed Item ⋮ Analysis of an admission control \(\mathrm{M}^{[\mathrm{X}}\)/G(a, b)/1 queue with multiple vacation, restricted re-service, closedown and setup times] ⋮ Unnamed Item

Cites Work

• Optimal policy for bulk queue with multiple types of server breakdown
• Optimization of the \(T\) policy M/G/1 queue with server breakdowns and general startup times
• Queueing systems with vacations - a survey
• A single server queue with service interruptions
• Analysis of a bulk queue with \(N\)-policy multiple vacations and setup times.
• Maximum entropy analysis to the \(N\) policy M/G/1 queueing system with server breakdowns and general startup times
• Batch arrival queues under vacation policies with server breakdowns and startup/closedown times
• Optimal control of the \(N\) policy M/G/1 queueing system with server breakdowns and general startup times
• Steady state analysis of a bulk queue with multiple vacations, setup times with \(N\)-policy and closedown times
• Reliability analysis of M/G/1 queueing systems with server breakdowns and vacations
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