An Invariance in the Priority Queue with Generalized Server Vacations and Structured Batch Arrivals

DOI10.1081/SAP-120022870zbMath1038.60092MaRDI QIDQ4412401

Bong K. Yoon, Kyung-Chul Chae

Publication date: 14 July 2003

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

waiting timediscrete timeserver vacationcontinuous timebatch arrivalsnon-preemptive priorityinvariance propertypreemptive-resume prioritymulti-class \(M/G/1\) priority system

Mathematics Subject Classification ID

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

Related Items (2)

Exact Transient Solution of a Discrete Time Queue with State-Dependent Rates ⋮ A note on the distributional Little's law for discrete-time queues with D-MAP arrivals and its application

Cites Work

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• Sojourn Time and Waiting Time Distributions for M/GI/1 Queues with Preemption-Distance Priorities
• An analysis of multiple class vacation queues with individual thresholds
• Discretionary priority discipline: A reasonable compromise between preemptive and nonpreemptive disciplines

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