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

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...

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Main Authors:	Mahdy S. EL-paoumy, Taha Radwan
Format:	Article
Language:	English
Published:	SpringerOpen 2020-03-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	Fluid queue M/M/1/N queue Discouraged arrivals Buffer content Matrix approach method
Online Access:	http://link.springer.com/article/10.1186/s42787-020-00072-w

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spelling	doaj-eb78b1bdfc2447a8b7b50f4f0ae27d042020-11-25T02:40:35ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282020-03-0128111010.1186/s42787-020-00072-wA matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivalsMahdy S. EL-paoumy0Taha Radwan1Department of Statistics, Faculty of Commerce, Al-Azhar UniversityDepartment of Mathematics, College of Sciences and Arts in Ar-Rass, Qassim UniversityAbstract 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.http://link.springer.com/article/10.1186/s42787-020-00072-wFluid queueM/M/1/N queueDiscouraged arrivalsBuffer contentMatrix approach method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mahdy S. EL-paoumy Taha Radwan
spellingShingle	Mahdy S. EL-paoumy Taha Radwan A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals Journal of the Egyptian Mathematical Society Fluid queue M/M/1/N queue Discouraged arrivals Buffer content Matrix approach method
author_facet	Mahdy S. EL-paoumy Taha Radwan
author_sort	Mahdy S. EL-paoumy
title	A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
title_short	A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
title_full	A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
title_fullStr	A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
title_full_unstemmed	A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals
title_sort	matrix approach for stationary analysis fluid model driven by an m/m/1/n queue with discouraged arrivals
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	2090-9128
publishDate	2020-03-01
description	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.
topic	Fluid queue M/M/1/N queue Discouraged arrivals Buffer content Matrix approach method
url	http://link.springer.com/article/10.1186/s42787-020-00072-w
work_keys_str_mv	AT mahdyselpaoumy amatrixapproachforstationaryanalysisfluidmodeldrivenbyanmm1nqueuewithdiscouragedarrivals AT taharadwan amatrixapproachforstationaryanalysisfluidmodeldrivenbyanmm1nqueuewithdiscouragedarrivals AT mahdyselpaoumy matrixapproachforstationaryanalysisfluidmodeldrivenbyanmm1nqueuewithdiscouragedarrivals AT taharadwan matrixapproachforstationaryanalysisfluidmodeldrivenbyanmm1nqueuewithdiscouragedarrivals
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A matrix approach for stationary analysis fluid model driven by an M/M/1/N queue with discouraged arrivals

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