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Maximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous servers

dc.citation.epage384en_US
dc.citation.issue2en_US
dc.citation.spage371en_US
dc.citation.volume63en_US
dc.citation.woscount1
dc.contributor.authorWang, TYen_US
dc.contributor.authorKe, JCen_US
dc.contributor.authorWang, KHen_US
dc.contributor.authorHo, SCen_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.date.accessioned2014-12-08T15:16:45Z
dc.date.available2014-12-08T15:16:45Z
dc.date.issued2006-05-01en_US
dc.description.abstractThis paper studies maximum likelihood estimates as well as confidence intervals of an M/M/R queue with heterogeneous servers under steady-state conditions. We derive the maximum likelihood estimates of the mean arrival rate and the three unequal mean service rates for an M/M/3 queue with heterogeneous servers, and then extend the results to an M/M/R queue with heterogeneous servers. We also develop the confidence interval formula for the parameter rho, the probability of empty system P-0, and the expected number of customers in the system E[N], of an M/M/R queue with heterogeneous servers.en_US
dc.identifier.doi10.1007/s00186-005-0047-zen_US
dc.identifier.issn1432-2994en_US
dc.identifier.journalMATHEMATICAL METHODS OF OPERATIONS RESEARCHen_US
dc.identifier.urihttp://dx.doi.org/10.1007/s00186-005-0047-zen_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/12332
dc.identifier.wosnumberWOS:000237504300010
dc.language.isoen_USen_US
dc.subjectconfidence intervalen_US
dc.subjectheterogeneous serversen_US
dc.subjectmaximum likelihood estimateen_US
dc.subjectqueueen_US
dc.titleMaximum likelihood estimates and confidence intervals of an M/M/R queue with heterogeneous serversen_US
dc.typeArticleen_US

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