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139193

STATISTICAL INFERENCE FOR M/M/1/N QUEUEING SYSTEM WITH BALKING, RENEGING AND REFLECTING BARRIER UNDER QUALITY CONTROL PROCESS

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Last updated: 23 Jan 2023

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Abstract

In this paper we develop the confidence intervals for estimating
the expected value of the units in the system and the maximum
likelihood estimates of the parameters are derived for truncated single -
channel Markovian queue with balking, reneging and reflecting barrier
by using quality control process under steady - state simulation. Some
important queueing systems are developed and discussed as special
cases of the model. A simulated numerical example is used to illustrate
its application for estimating the parameters under quality control
process.

DOI

10.21608/djs.2019.139193

Keywords

balking, reneging, reflecting barrier, quality control, maximum likelihood estimate, confidence interval

Authors

First Name

K. A. M.

Last Name

Kotb

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

Email

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Orcid

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First Name

Elham

Last Name

Elebiary

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

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Volume

40

Article Issue

1

Related Issue

20595

Issue Date

2019-06-01

Receive Date

2021-01-13

Publish Date

2019-06-01

Page Start

36

Page End

45

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 40_Issue 1_Pages 36-45.pdf

PDF . 1.3MB

Link

https://djs.journals.ekb.eg/article_139193.html

Detail API

https://djs.journals.ekb.eg/service?article_code=139193

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5

Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

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Article

Created At

23 Jan 2023