Delay in a tandem queueing model with mobile queues: An analytical approximation

Ahmad Al Hanbali; Roland De Haan; Richard J. Boucherie; Jan Kees Van Ommeren

doi:10.1017/S0269964814000059

Delay in a tandem queueing model with mobile queues: An analytical approximation

Ahmad Al Hanbali, Roland De Haan, Richard J. Boucherie, Jan Kees Van Ommeren

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we analyze the end-to-end delay performance of a tandem queueing system with mobile queues. Due to state-space explosion, there is no hope for a numerical exact analysis for the joint-queue-length distribution. For this reason, we present an analytical approximation that is based on queue-length analysis. Through extensive numerical validation, we find that the queue-length approximation exhibits excellent performance for light traffic load.

Original language	English
Pages (from-to)	363-387
Number of pages	25
Journal	Probability in the Engineering and Informational Sciences
Volume	28
Issue number	3
DOIs	https://doi.org/10.1017/S0269964814000059
State	Published - Jul 2014
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Management Science and Operations Research
Industrial and Manufacturing Engineering

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10.1017/S0269964814000059

Cite this

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title = "Delay in a tandem queueing model with mobile queues: An analytical approximation",

abstract = "In this paper, we analyze the end-to-end delay performance of a tandem queueing system with mobile queues. Due to state-space explosion, there is no hope for a numerical exact analysis for the joint-queue-length distribution. For this reason, we present an analytical approximation that is based on queue-length analysis. Through extensive numerical validation, we find that the queue-length approximation exhibits excellent performance for light traffic load.",

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AB - In this paper, we analyze the end-to-end delay performance of a tandem queueing system with mobile queues. Due to state-space explosion, there is no hope for a numerical exact analysis for the joint-queue-length distribution. For this reason, we present an analytical approximation that is based on queue-length analysis. Through extensive numerical validation, we find that the queue-length approximation exhibits excellent performance for light traffic load.

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Delay in a tandem queueing model with mobile queues: An analytical approximation

Abstract

ASJC Scopus subject areas

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