A queueing model of finite and infinite source interaction

O.J. Boxma

doi:10.1016/0167-6377(86)90016-7

A queueing model of finite and infinite source interaction

O.J. Boxma

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Abstract

An M/M/1 service system is considered, which also serves one finite source. The joint distribution of queue length at the M/M/1 queue and position of the finite source customer in the system is determined. This leads to exact expressions for various performance measures; such expressions yield insight into the interaction of finite and infinite sources.

Original language	English
Pages (from-to)	245-254
Number of pages	10
Journal	Operations Research Letters
Volume	5
Issue number	5
DOIs	https://doi.org/10.1016/0167-6377(86)90016-7
Publication status	Published - 1986

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title = "A queueing model of finite and infinite source interaction",

abstract = "An M/M/1 service system is considered, which also serves one finite source. The joint distribution of queue length at the M/M/1 queue and position of the finite source customer in the system is determined. This leads to exact expressions for various performance measures; such expressions yield insight into the interaction of finite and infinite sources.",

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AB - An M/M/1 service system is considered, which also serves one finite source. The joint distribution of queue length at the M/M/1 queue and position of the finite source customer in the system is determined. This leads to exact expressions for various performance measures; such expressions yield insight into the interaction of finite and infinite sources.

U2 - 10.1016/0167-6377(86)90016-7

DO - 10.1016/0167-6377(86)90016-7

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VL - 5

SP - 245

EP - 254

JO - Operations Research Letters

JF - Operations Research Letters

IS - 5

ER -

A queueing model of finite and infinite source interaction

Abstract

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