Time-Dependent Solution And Optimal Control Of A Bulk Service Queue

We consider the queueing system denoted by M/M(N)/1/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to pr...

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Main Author: Selim, S.Z. (author)
Other Authors: unknown (author)
Format: article
Published: 2020
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Online Access:https://eprints.kfupm.edu.sa/id/eprint/2562/1/time_dependent_solution_and_optimal_cont_selim_isi_a1997wn84100024.pdf
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author Selim, S.Z.
author2 unknown
author2_role author
author_facet Selim, S.Z.
unknown
author_role author
dc.creator.none.fl_str_mv Selim, S.Z.
unknown
dc.date.*.fl_str_mv 2020
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/2562/1/time_dependent_solution_and_optimal_cont_selim_isi_a1997wn84100024.pdf
Time-Dependent Solution And Optimal Control Of A Bulk Service Queue. JOURNAL OF APPLIED PROBABILITY, 34. pp. 258-266.
dc.language.none.fl_str_mv en
dc.publisher.none.fl_str_mv APPLIED PROBABILITY TRUST
dc.relation.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/2562/
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Systems
dc.title.none.fl_str_mv Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
dc.type.none.fl_str_mv Article
PeerReviewed
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description We consider the queueing system denoted by M/M(N)/1/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to predict the optimal service rates during a finite time horizon.
eu_rights_str_mv openAccess
format article
id KFUPM_34665220f28b7f62b470630e53bf3bb2
identifier_str_mv Time-Dependent Solution And Optimal Control Of A Bulk Service Queue. JOURNAL OF APPLIED PROBABILITY, 34. pp. 258-266.
language_invalid_str_mv en
network_acronym_str KFUPM
network_name_str King Fahd University of Petroleum and Minerals
oai_identifier_str oai::2562
publishDate 2020
publisher.none.fl_str_mv APPLIED PROBABILITY TRUST
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
spelling Time-Dependent Solution And Optimal Control Of A Bulk Service QueueSelim, S.Z.unknownSystemsWe consider the queueing system denoted by M/M(N)/1/N where customers are served in batches of maximum size N. The model is motivated by a traffic application. The time-dependent probability distribution for the number of customers in the system is obtained in closed form. The solution is used to predict the optimal service rates during a finite time horizon.APPLIED PROBABILITY TRUSTArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://eprints.kfupm.edu.sa/id/eprint/2562/1/time_dependent_solution_and_optimal_cont_selim_isi_a1997wn84100024.pdf Time-Dependent Solution And Optimal Control Of A Bulk Service Queue. JOURNAL OF APPLIED PROBABILITY, 34. pp. 258-266. enhttps://eprints.kfupm.edu.sa/id/eprint/2562/2020info:eu-repo/semantics/openAccessoai::25622019-11-01T13:44:51Z
spellingShingle Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
Selim, S.Z.
Systems
status_str publishedVersion
title Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
title_full Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
title_fullStr Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
title_full_unstemmed Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
title_short Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
title_sort Time-Dependent Solution And Optimal Control Of A Bulk Service Queue
topic Systems
url https://eprints.kfupm.edu.sa/id/eprint/2562/1/time_dependent_solution_and_optimal_cont_selim_isi_a1997wn84100024.pdf