Optimal design of a bulk service queue

Bibliographic Details
Main Author: Bounkhel,Messaoud
Publication Date: 2007
Other Authors: Tadj,Lotfi
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612007000200002
Summary: This paper uses a control-theoretic approach, the so-called predictive control, for the optimal design of a single-server, finite capacity, bulk-service queueing system. The problem is presented as an optimal control problem with one state vector variable and one control variable. The optimal service rate is obtained explicitly under a general quadratic cost function. Illustrative numerical examples are presented and the effect of the initial state distribution on the shape of the optimal solution is demonstrated.
id RCAP_a57f43abe81ae83b3eeb9330740c90b9
oai_identifier_str oai:scielo:S0874-51612007000200002
network_acronym_str RCAP
network_name_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository_id_str https://opendoar.ac.uk/repository/7160
spelling Optimal design of a bulk service queueQueueoptimal controlpredictive controloptimal designThis paper uses a control-theoretic approach, the so-called predictive control, for the optimal design of a single-server, finite capacity, bulk-service queueing system. The problem is presented as an optimal control problem with one state vector variable and one control variable. The optimal service rate is obtained explicitly under a general quadratic cost function. Illustrative numerical examples are presented and the effect of the initial state distribution on the shape of the optimal solution is demonstrated.APDIO - Associação Portuguesa de Investigação Operacional2007-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articletext/htmlhttp://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612007000200002Investigação Operacional v.27 n.2 2007reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAPenghttp://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612007000200002Bounkhel,MessaoudTadj,Lotfiinfo:eu-repo/semantics/openAccess2024-02-06T17:14:09Zoai:scielo:S0874-51612007000200002Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:02:27.105595Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Optimal design of a bulk service queue
title Optimal design of a bulk service queue
spellingShingle Optimal design of a bulk service queue
Bounkhel,Messaoud
Queue
optimal control
predictive control
optimal design
title_short Optimal design of a bulk service queue
title_full Optimal design of a bulk service queue
title_fullStr Optimal design of a bulk service queue
title_full_unstemmed Optimal design of a bulk service queue
title_sort Optimal design of a bulk service queue
author Bounkhel,Messaoud
author_facet Bounkhel,Messaoud
Tadj,Lotfi
author_role author
author2 Tadj,Lotfi
author2_role author
dc.contributor.author.fl_str_mv Bounkhel,Messaoud
Tadj,Lotfi
dc.subject.por.fl_str_mv Queue
optimal control
predictive control
optimal design
topic Queue
optimal control
predictive control
optimal design
description This paper uses a control-theoretic approach, the so-called predictive control, for the optimal design of a single-server, finite capacity, bulk-service queueing system. The problem is presented as an optimal control problem with one state vector variable and one control variable. The optimal service rate is obtained explicitly under a general quadratic cost function. Illustrative numerical examples are presented and the effect of the initial state distribution on the shape of the optimal solution is demonstrated.
publishDate 2007
dc.date.none.fl_str_mv 2007-12-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612007000200002
url http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612007000200002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://scielo.pt/scielo.php?script=sci_arttext&pid=S0874-51612007000200002
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv APDIO - Associação Portuguesa de Investigação Operacional
publisher.none.fl_str_mv APDIO - Associação Portuguesa de Investigação Operacional
dc.source.none.fl_str_mv Investigação Operacional v.27 n.2 2007
reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
_version_ 1833593371507032064