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316596

On the Characteristics of a Stationary Queueing Servicing System M/G/1/N-1. Part One

Article

Last updated: 28 Dec 2024

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Abstract

This paper studies the equilibrium behaviour of the general service discipline M/G/1/N-1 queueing system. Such a service system has one server with general service distribution whose customers arrive in accordance with a Poisson process. The states stationary probability distribution under different service disciplines are obtained. In addition, the results presented here are also useful in the analysis of more complex queueing models.

DOI

10.21608/esju.1985.316596

Keywords

Complex Queueing Models, Equilibrium Behavior, Poisson Process, Queueing System, Service Discipline, Stationary Probability Distribution

Authors

First Name

G.

Last Name

Mokaddis

MiddleName

S.

Affiliation

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Email

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City

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Orcid

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First Name

S.

Last Name

Zaki

MiddleName

S.

Affiliation

-

Email

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City

-

Orcid

-

Volume

29

Article Issue

2

Related Issue

43407

Issue Date

1985-12-01

Receive Date

2023-09-07

Publish Date

1985-12-01

Page Start

44

Page End

58

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_316596.html

Detail API

https://esju.journals.ekb.eg/service?article_code=316596

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

On the Characteristics of a Stationary Queueing Servicing System M/G/1/N-1. Part One

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Article

Created At

28 Dec 2024