Time-dependent solution and optimal control of a bulk service queue

Shokri Z. Selim

doi:10.1017/S0021900200100877

Time-dependent solution and optimal control of a bulk service queue

Shokri Z. Selim^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

2 Scopus citations

Abstract

We consider the queueing system denoted by M/M^N/I/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to predict the optimal service rates during a finite time horizon.

Original language	English
Pages (from-to)	258-266
Number of pages	9
Journal	Journal of Applied Probability
Volume	34
Issue number	1
DOIs	https://doi.org/10.1017/S0021900200100877
State	Published - Mar 1997

Keywords

Bulk queues
Bulk service
Control of queues
Queueing applications
Transient solution

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1017/S0021900200100877

Cite this

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title = "Time-dependent solution and optimal control of a bulk service queue",

abstract = "We consider the queueing system denoted by M/MN/I/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to predict the optimal service rates during a finite time horizon.",

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AB - We consider the queueing system denoted by M/MN/I/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to predict the optimal service rates during a finite time horizon.

KW - Bulk queues

KW - Bulk service

KW - Control of queues

KW - Queueing applications

KW - Transient solution

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DO - 10.1017/S0021900200100877

M3 - Article

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EP - 266

JO - Journal of Applied Probability

JF - Journal of Applied Probability

IS - 1

ER -

Time-dependent solution and optimal control of a bulk service queue

Abstract

Keywords

ASJC Scopus subject areas

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