An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues

The aim of this paper is to treat the analytical solution of the truncated interarrival hyperexponential machine interference queue: H2/M/1/m+Y/m+Y in case of two branches with the following concepts: balking, reneging, state-dependent, spares, and an additional server for longer queues. Our researc...

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Main Authors: Ragab Omarah Al-Seedy, Fawziah M. Al-Ibraheem
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201005841
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author Ragab Omarah Al-Seedy
Fawziah M. Al-Ibraheem
author_facet Ragab Omarah Al-Seedy
Fawziah M. Al-Ibraheem
author_sort Ragab Omarah Al-Seedy
collection DOAJ
description The aim of this paper is to treat the analytical solution of the truncated interarrival hyperexponential machine interference queue: H2/M/1/m+Y/m+Y in case of two branches with the following concepts: balking, reneging, state-dependent, spares, and an additional server for longer queues. Our research treats the general case for the values of m and Y considering the discipline FIFO. And some special cases have been verified.
format Article
id doaj-art-063e35e6f15d4818adb370e2d4b63b54
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2001-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-063e35e6f15d4818adb370e2d4b63b542025-02-03T01:30:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01271273774710.1155/S0161171201005841An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queuesRagab Omarah Al-Seedy0Fawziah M. Al-Ibraheem1Department of Mathematics, Teacher's College in Al-Ahsa, Saudi ArabiaDepartment of Mathematics, Science College for Girls in Dammam, Saudi ArabiaThe aim of this paper is to treat the analytical solution of the truncated interarrival hyperexponential machine interference queue: H2/M/1/m+Y/m+Y in case of two branches with the following concepts: balking, reneging, state-dependent, spares, and an additional server for longer queues. Our research treats the general case for the values of m and Y considering the discipline FIFO. And some special cases have been verified.http://dx.doi.org/10.1155/S0161171201005841
spellingShingle Ragab Omarah Al-Seedy
Fawziah M. Al-Ibraheem
An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
International Journal of Mathematics and Mathematical Sciences
title An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
title_full An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
title_fullStr An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
title_full_unstemmed An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
title_short An interarrival hyperexponential machine interference with balking, reneging, state-dependent, spares, and an additional server for longer queues
title_sort interarrival hyperexponential machine interference with balking reneging state dependent spares and an additional server for longer queues
url http://dx.doi.org/10.1155/S0161171201005841
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