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dc.contributor.authorYang, Dong-Yuhen_US
dc.contributor.authorWu, Chia-Huangen_US
dc.date.accessioned2015-07-21T08:29:25Z-
dc.date.available2015-07-21T08:29:25Z-
dc.date.issued2015-04-01en_US
dc.identifier.issn0360-8352en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.cie.2015.01.017en_US
dc.identifier.urihttp://hdl.handle.net/11536/124481-
dc.description.abstractThis paper investigates the N-policy M/M/1 queueing system with working vacation and server breakdowns. As soon as the system becomes empty, the server begins a working vacation. The server works at a lower service rate rather than completely stopping service during a vacation period. The server may break down with different breakdown rates during the idle, working vacation, and normal busy periods. It is assumed that service times, vacation times, and repair times are all exponentially distributed. We analyze this queueing model as a quasi-birth-death process. Furthermore, the equilibrium condition of the system is derived for the steady state. Using the matrix-geometric method, we find the matrix-form expressions for the stationary probability distribution of the number of customers in the system and system performance measures. The expected cost function per unit time is constructed to determine the optimal values of the system decision variables, including the threshold N and mean service rates. We employ the particle swarm optimization algorithm to solve the optimization problem. Finally, numerical results are provided, and an application example is given to demonstrate the applicability of the queueing model. (C) 2015 Elsevier Ltd. All rights reserved.en_US
dc.language.isoen_USen_US
dc.subjectQuasi-birth-death processen_US
dc.subjectMatrix-geometric methoden_US
dc.subjectN-policyen_US
dc.subjectParticle swarm optimizationen_US
dc.subjectWorking vacationen_US
dc.titleCost-minimization analysis of a working vacation queue with N-policy and server breakdownsen_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.cie.2015.01.017en_US
dc.identifier.journalCOMPUTERS & INDUSTRIAL ENGINEERINGen_US
dc.citation.volume82en_US
dc.citation.spage151en_US
dc.citation.epage158en_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:000351645500015en_US
dc.citation.woscount0en_US
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