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dc.contributor.authorKe, Jau-Chuanen_US
dc.contributor.authorWu, Chia-Huangen_US
dc.contributor.authorPearn, Wen Leaen_US
dc.date.accessioned2014-12-08T15:30:35Z-
dc.date.available2014-12-08T15:30:35Z-
dc.date.issued2013-06-01en_US
dc.identifier.issn0360-8352en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.cie.2013.02.017en_US
dc.identifier.urihttp://hdl.handle.net/11536/21852-
dc.description.abstractThis paper deals with an infinite-capacity multi-server queueing system with a second optional service (SOS) channel. The inter-arrival times of arriving customers, the service times of the first essential service (FES) and the SOS channel are all exponentially distributed. A customer may leave the system after the FES channel with a probability (1 - theta), or the completion of the FES may immediately require a SOS with a probability theta (0 <= theta <= 1). The formulae for computing the rate matrix and stationary probabilities are derived by means of a matrix analytical approach. A cost model is developed to simultaneously determine the optimal values of the number of servers and the two service rates at the minimal total expected cost per unit time. Quasi-Newton method and Particle Swarm Optimization (PSO) method are employed to deal with the optimization problem. Under optimal operating conditions, numerical results are provided from which several system performance measures are calculated based on the assumed numerical values of the system parameters. (c) 2013 Elsevier Ltd. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectFirst essential channelen_US
dc.subjectLinear progressing algorithmen_US
dc.subjectParticle Swarm Optimizationen_US
dc.subjectQuasi-Newton methoden_US
dc.subjectSecond optional channelen_US
dc.titleAnalysis of an infinite multi-server queue with an optional serviceen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.cie.2013.02.017en_US
dc.identifier.journalCOMPUTERS & INDUSTRIAL ENGINEERINGen_US
dc.citation.volume65en_US
dc.citation.issue2en_US
dc.citation.spage216en_US
dc.citation.epage225en_US
dc.contributor.department工業工程與管理學系zh_TW
dc.contributor.departmentDepartment of Industrial Engineering and Managementen_US
dc.identifier.wosnumberWOS:000319098000004-
dc.citation.woscount0-
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