Some Results for the Actual Waiting Time in Batch Arrival Queueing Systems

DOI10.1080/15326349.2010.498313zbMath1200.60081OpenAlexW2045128738MaRDI QIDQ3161155

Wojciech M. Kempa

Publication date: 12 October 2010

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

Full work available at URL: https://doi.org/10.1080/15326349.2010.498313

zbMATH Keywords

steady statetransient statebatch arrival queueing systemactual waiting timeWiener-Hopf canonical factorization

Mathematics Subject Classification ID

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

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Cites Work

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• Exact computational analysis of waiting-time distributions of single- server bulk-arrival queues: \(M^ X/G/1\)
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• The Virtual Waiting Time for the Batch Arrival Queueing Systems
• The Departure Process for Queueing Systems with Batch Arrival of Customers
• On the stationary waiting-time distribution in the GI/G/1 queue, I: Transform methods and almost-phase-type distributions
• Numerical Solutions of the Waiting Time Distribution and Idle Time Distribution of the Arithmetic GI/G/1 Queue
• An analytic solution of the waiting time distribution for the discrete-time GI/G/1 queue
• On the virtual and actual waiting time distributions of a GI/G/1 queue
• Computing waiting-time probabilities in the discrete-time queue: GIX/G/1
• Approximations and bounds for the variance of steady-state waiting times in a GI/G/1 queue

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