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139225

SIMPLE APPROACH OF THE SERVER’S BUSY PERIOD FOR SELFSERVICE SYSTEM WITH FEEDBACK

Article

Last updated: 23 Jan 2023

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Abstract

In this paper, we provide an easy method to obtain the
distribution of busy period for self-service queue with feedback. Using
probability generating function we obtain the probability that there are n
units in the system at time t , pn ( t ) and the probability density function
and the busy period distribution function. Concept of busy period selfservice
queue without feedback has been derived and discussed as
special case of proposed model. Some numerical values of arrive rate ,
service rate  , feedback q and time t are given showing the effect of
correlation between the feedback (the time) and the probability density
function (distribution function) of busy period.

DOI

10.21608/djs.2020.139225

Keywords

Busy period, Selfservice queue, Feedback, Probability density function, distribution function, Probability generating function

Authors

First Name

K. A. M.

Last Name

Kotb

MiddleName

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Affiliation

Department of Mathematics and Statistics, Faculty of Science, Tanta University, Tanta, Egypt.

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City

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Orcid

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First Name

S. E.

Last Name

Abou Karam

MiddleName

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Affiliation

Department of Mathematics and Statistics, Faculty of Science, Tanta University, Tanta, Egypt.

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Orcid

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Volume

41

Article Issue

1

Related Issue

20615

Issue Date

2019-06-01

Receive Date

2021-01-13

Publish Date

2019-06-01

Page Start

12

Page End

19

Print ISSN

1012-5965

Online ISSN

2735-5306

Link

https://djs.journals.ekb.eg/article_139225.html

Detail API

https://djs.journals.ekb.eg/service?article_code=139225

Order

2

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