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384549

A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals

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Last updated: 29 Dec 2024

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Abstract

In this paper, a fluid queue driven by truncated queue with discouraged arrivals is
considered. Using the efficient matrix technique, the expressions of the steady-state
distribution of both the buffer content and stationary state probabilities of
background birth-death process are acquired. Then, performance measures and
analysis of server utilization and mean buffer content are carried out.

DOI

10.1186/s42787-020-00072-w

Keywords

Fluid Queue, M/M/1/N queue, Discouraged arrivals, Buffer Content, Matrix approach method

Authors

First Name

Mahdy

Last Name

EL-paoumy

MiddleName

S.

Affiliation

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Email

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City

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Orcid

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First Name

Taha

Last Name

Radwan

MiddleName

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Affiliation

Department of Mathematics, College of Sciences and Arts in Ar-Rass, Qassim University, Ar-Rass, Saudi Arabia , Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said, Egypt

Email

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Orcid

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Volume

28

Article Issue

1

Related Issue

50535

Issue Date

2020-06-01

Receive Date

2024-10-07

Publish Date

2020-06-01

Page Start

1

Page End

10

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 28_Issue 1_Pages 1-10.pdf

PDF . 639.4kB

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https://joems.journals.ekb.eg/article_384549.html

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https://joems.journals.ekb.eg/service?article_code=384549

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384,549

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Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals

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Article

Created At

21 Dec 2024