Explicit Formulae for the Queue Length Distribution of Batch Arrival Systems

DOI10.1081/STM-200033115zbMath1056.60091MaRDI QIDQ3157862

Mykola Bratiychuk, Wojciech M. Kempa

Publication date: 19 January 2005

Published in: Stochastic Models (Search for Journal in Brave)

zbMATH Keywords

busy periodsteady-state distributionqueue lengthcanonical factorizationG\(^\theta\)I/G/1-type batch arrival system

Mathematics Subject Classification ID

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

Related Items (8)

Some Results for the Actual Waiting Time in Batch Arrival Queueing Systems ⋮ The Departure Process for Queueing Systems with Batch Arrival of Customers ⋮ On departure process in the batch arrival queue with single vacation and setup time ⋮ \(GI/G/1/\infty\) batch arrival queueing system with a single exponential vacation ⋮ Analysis of Departure Process in Batch Arrival Queue with Multiple Vacations and Exhaustive Service ⋮ Some New Results for Departure Process in theM^X/G/1 Queueing System with a Single Vacation and Exhaustive Service ⋮ Output Process in Batch-Arrival Queue with N-Policy and Multiple Vacations ⋮ Unnamed Item

Cites Work

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• Transient and busy period analysis of the GI/G/1 queue: The method of stages
• Application of the superposition of renewal processes to the study of batch arrival queues
• Transient and busy period analysis of the GIG/1 Queue as a Hilbert factorization problem

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