Analysis of the MX/G/1 queue under D-policy

Ho Woo Lee; Jung Woo Baek; Jongwoo Jeon

doi:10.1081/SAP-200064479

Analysis of the M^X/G/1 queue under D-policy

Ho Woo Lee
, Jung Woo Baek
, Jongwoo Jeon

Department of Industrial and Systems Engineering

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

16 Scopus citations

Abstract

We study the queue length of the M_X/G/1 queue under D-policy. We derive the queue length PGF at an arbitrary point of time. Then, we derive the mean queue length. As special cases, M/G/1, M_X/M/1, and M/M/1 queue under D-policy are investigated. Finally, the effects of employing D-policy are discussed.

Original language	English
Pages (from-to)	785-808
Number of pages	24
Journal	Stochastic Analysis and Applications
Volume	23
Issue number	4
DOIs	https://doi.org/10.1081/SAP-200064479
State	Published - 2005

Keywords

D-policy
M/G/1
Queue length

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10.1081/SAP-200064479

Cite this

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title = "Analysis of the MX/G/1 queue under D-policy",

abstract = "We study the queue length of the MX/G/1 queue under D-policy. We derive the queue length PGF at an arbitrary point of time. Then, we derive the mean queue length. As special cases, M/G/1, MX/M/1, and M/M/1 queue under D-policy are investigated. Finally, the effects of employing D-policy are discussed.",

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AU - Baek, Jung Woo

AU - Jeon, Jongwoo

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N2 - We study the queue length of the MX/G/1 queue under D-policy. We derive the queue length PGF at an arbitrary point of time. Then, we derive the mean queue length. As special cases, M/G/1, MX/M/1, and M/M/1 queue under D-policy are investigated. Finally, the effects of employing D-policy are discussed.

AB - We study the queue length of the MX/G/1 queue under D-policy. We derive the queue length PGF at an arbitrary point of time. Then, we derive the mean queue length. As special cases, M/G/1, MX/M/1, and M/M/1 queue under D-policy are investigated. Finally, the effects of employing D-policy are discussed.

KW - D-policy

KW - M/G/1

KW - Queue length

UR - https://www.scopus.com/pages/publications/22944454202

U2 - 10.1081/SAP-200064479

DO - 10.1081/SAP-200064479

M3 - Article

AN - SCOPUS:22944454202

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VL - 23

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EP - 808

JO - Stochastic Analysis and Applications

JF - Stochastic Analysis and Applications

IS - 4

ER -

Analysis of the M^X/G/1 queue under D-policy

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