Analysis of the stationary Ek/C2/s queueing system

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dc.contributor.author Bertsimas, DJ en
dc.contributor.author Papaconstantinou, XA en
dc.date.accessioned 2014-03-01T01:07:05Z
dc.date.available 2014-03-01T01:07:05Z
dc.date.issued 1988 en
dc.identifier.issn 0377-2217 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/9778
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-0024108471&partnerID=40&md5=c92c6610ce0968d5e137a72a1d167899 en
dc.subject Coxian service distributions en
dc.subject method of en
dc.subject Multiserver queues en
dc.subject.classification Management en
dc.subject.classification Operations Research & Management Science en
dc.subject.other Mathematical Programming en
dc.subject.other Mathematical Techniques - Numerical Methods en
dc.subject.other Coxian Service Distributions en
dc.subject.other Multiserver Queues en
dc.subject.other Stationary Queueing System en
dc.subject.other Probability en
dc.title Analysis of the stationary Ek/C2/s queueing system en
heal.type journalArticle en
heal.language English en
heal.publicationDate 1988 en
heal.abstract Erlang's method of stages is exploited to solve the queue Ek/C2/s, i.e. with service-time pdf of the versatile Coxian type of order 2. The general solution strategy is purely real arithmetic, leading first to explicit forms (for the probabilities of states with all servers busy) and then, through an algorithmic scheme, to an easily solved linear system of only s + 1 equations. In comparison to other established methods, the present approach (a) seems simpler to grasp and easier to implement, (b) provides closed form expressions offering more qualitative insight, (c) has a much lower order of computational complexity, (d) has the potential to lead to an exact FCFS waiting-time analysis and (e) can be extended to even more general systems. © 1988. en
heal.publisher ELSEVIER SCIENCE BV en
heal.journalName European Journal of Operational Research en
dc.identifier.isi ISI:A1988Q630500013 en
dc.identifier.volume 37 en
dc.identifier.issue 2 en
dc.identifier.spage 272 en
dc.identifier.epage 287 en

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