Two thresholds of a batch arrival queueing system under modified T vacation policy with startup and closedown

DOI10.1002/mma.905zbMath1132.60066OpenAlexW1979712379MaRDI QIDQ5448587

Jau-Chuan Ke

Publication date: 7 March 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.905

zbMATH Keywords

startupMarkov processqueuecostrenewal reward processHessian matrixvacation policysystem characteristicsclosedown

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) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (9)

Cost evaluation in M/G/1 queue with T-policy revisited, technical note ⋮ Analysis of batch arrival queue with randomized vacation policy and an un-reliable server ⋮ A batch arrival queue under randomised multi-vacation policy with unreliable server and repair ⋮ A finite-source inventory system with postponed demands and modified M vacation policy ⋮ Analysis of an Unreliable Server M^[X/G/1 System with a Randomized Vacation Policy and Delayed Repair] ⋮ The performance measures and randomized optimization for an unreliable server \(M^{[x}/G/1\) vacation system] ⋮ The randomized vacation policy for a batch arrival queue ⋮ Optimization on bicriterion policies for M/G/1 system with second optional service ⋮ A Discrete-Time Single-Server Queueing System Under Multiple Vacations and Setup-Closedown Times

Cites Work

• Queueing systems with vacations - a survey
• An M\(^{X}\)/G/1 queueing system with a setup period and a vacation period
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