Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/36355
DC FieldValueLanguage
dc.contributor.authorWang, K.H.en_US
dc.contributor.author王國雄zh_TW
dc.contributor.authorChen, W.L.en_US
dc.contributor.authorYang, D.Y.en_US
dc.date2009zh_TW
dc.date.accessioned2014-06-06T07:55:18Z-
dc.date.available2014-06-06T07:55:18Z-
dc.identifier.issn0377-0427zh_TW
dc.identifier.urihttp://hdl.handle.net/11455/36355-
dc.description.abstractThis paper studies the M/M/1 machine repair problem with working vacation in which the server works with different repair rates rather than completely terminating the repair during a vacation period. We assume that the server begins the working vacation when the system is empty. The failure times, repair times, and vacation times are all assumed to be exponentially distributed. We use the MAPLE software to compute steady-state probabilities and several system performance measures. A cost model is derived to determine the optimal values of the number of operating machines and two different repair rates simultaneously, and maintain the system availability at a certain level. We use the direct search method and Newton's method for unconstrained optimization to repeatedly find the global minimum value until the system availability constraint is satisfied. Some numerical examples are provided to illustrate Newton's method. (C) 2009 Published by Elsevier B.V.en_US
dc.language.isoen_USzh_TW
dc.relationJournal of Computational and Applied Mathematicsen_US
dc.relation.ispartofseriesJournal of Computational and Applied Mathematics, Volume 233, Issue 2, Page(s) 449-458.en_US
dc.relation.urihttp://dx.doi.org/10.1016/j.cam.2009.07.043en_US
dc.subjectCosten_US
dc.subjectOptimizationen_US
dc.subjectWorking vacationen_US
dc.subjectNewton's methoden_US
dc.subjectserver vacationsen_US
dc.subjectprofit analysisen_US
dc.subjectgi/m/1 queueen_US
dc.subjectinterference problemen_US
dc.subjectexhaustive serviceen_US
dc.subjectm/g/1 queueen_US
dc.subjectstationen_US
dc.subjectsparesen_US
dc.titleOptimal management of the machine repair problem with working vacation: Newton's methoden_US
dc.typeJournal Articlezh_TW
dc.identifier.doi10.1016/j.cam.2009.07.043zh_TW
item.grantfulltextnone-
item.openairetypeJournal Article-
item.languageiso639-1en_US-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.fulltextno fulltext-
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