dc.contributor.authorJung, Woo Baek.
dc.contributor.authorSeung, Ki Moon.
dc.contributor.authorHo, Woo Lee.
dc.date.accessioned2014-02-04T06:22:05Z
dc.date.available2014-02-04T06:22:05Z
dc.date.copyright2014en_US
dc.date.issued2014
dc.identifier.citationJung, W. B., Seung, K. M., & Ho, W. L. (2014). A time-dependent busy period queue length formula for the M/E_k/1 queue. Statistics & Probability Letters. 87, 98-104.en_US
dc.identifier.urihttp://hdl.handle.net/10220/18754
dc.description.abstractIn this paper, a closed-form time-dependent busy period queue length probability is obtained for the M/Ek/1M/Ek/1 queue. This probability is frequently needed when we compare the length of the busy period and the maximum amount of service that can be rendered to the existing customers. The transient probability is given in terms of the generalized modified Bessel function of the second type of Griffiths et al. (2006a). The queue length probability for the M/M/1M/M/1 queue is also presented as a special case.en_US
dc.language.isoenen_US
dc.relation.ispartofseriesStatistics & probability lettersen_US
dc.rights© 2014 Elsevier B.V. This is the author created version of a work that has been peer reviewed and accepted for publication by Statistics & Probability Letters, Elsevier B.V.. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1016/j.spl.2014.01.004].en_US
dc.subjectDRNTU::Engineering::Mechanical engineering
dc.titleA time-dependent busy period queue length formula for the M/Ek/1 queueen_US
dc.typeJournal Article
dc.contributor.schoolSchool of Mechanical and Aerospace Engineeringen_US
dc.identifier.doi10.1016/j.spl.2014.01.004
dc.description.versionAccepted versionen_US


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