Recursive solution of queue length distribution for queue with single server vacation and variable input rate

DOI10.1016/j.camwa.2011.02.018zbMath1221.90040OpenAlexW2037714717MaRDI QIDQ639045

Ying-Hui Tang, Kaili Xiang, Chuan-Yi Luo, Miao-Miao Yu

Publication date: 18 September 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.018

zbMATH Keywords

discrete time queuerecursive expressionsingle server vacationvariable input rate

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

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The matrix-form solution for \(Geo^{X}/G/1/N\) working vacation queue and its application to state-dependent cost control ⋮ Analysis of \(M^{(\lambda_1, \lambda_2)}/G/1\) queue with uninterrupted single vacation and server's workload controlled \(D\)-policy ⋮ Unnamed Item ⋮ Performance analysis of a discrete-time \(Geo/G/1\) queue with randomized vacations and at most \(J\) vacations

Cites Work

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• Transient queue size distribution solution of Geom/G/1 queue with feedback -- a recursive method
• Modeling a supply chain using a network of queues
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