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Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy

dc.contributor.authorSlamet, I.
dc.contributor.authorGupta, Ritu
dc.contributor.authorAchuthan, N.
dc.contributor.authorCollinson, Roger
dc.date.accessioned2018-08-08T04:42:45Z
dc.date.available2018-08-08T04:42:45Z
dc.date.created2018-08-08T03:50:42Z
dc.date.issued2018
dc.identifier.citationSlamet, I. and Gupta, R. and Achuthan, N. and Collinson, R. 2018. Total Idle Time Density Function of M/C2/1 Systems under (0,k) Policy.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/69916
dc.identifier.doi10.1088/1742-6596/1028/1/012226
dc.description.abstract

© Published under licence by IOP Publishing Ltd. The aim of this paper is to derive the probability density function (pdf) of the total idle time of busy period of M/C2/1 queues operating under control policies through lattice path combinatorics (LPC) approach. The service distribution is approximated by Coxian two-phase distribution. We focus on deriving the pdf of total idle time of M/C2/1 queues under (0,k) control policy, wherein the server goes on the vacation when the system becomes empty and re-opens for service immediately at the arrival of the kthcostumer. We present an important result which is the theorem of the pdf of total idle time when system is in busy period that ends with a departure.
dc.titleTotal Idle Time Density Function of M/C2/1 Systems under (0,k) Policy
dc.typeConference Paper
dcterms.source.volume1028
dcterms.source.issn1742-6588
dcterms.source.titleJournal of Physics: Conference Series
dcterms.source.seriesJournal of Physics: Conference Series
curtin.departmentSchool of Electrical Engineering, Computing and Mathematical Science (EECMS)
curtin.accessStatusFulltext not available


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