The M/Ek/r machine interference model steady state equations and numerical solutions

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dc.contributor.author Maritas, DG en
dc.contributor.author Xirokostas, DA en
dc.date.accessioned 2014-03-01T01:37:51Z
dc.date.available 2014-03-01T01:37:51Z
dc.date.issued 1977 en
dc.identifier.issn 03772217 en
dc.identifier.uri http://hdl.handle.net/123456789/21789
dc.relation.uri http://www.scopus.com/inward/record.url?eid=2-s2.0-0042226116&partnerID=40&md5=63c5165fb704fe86a148eab5808bae31 en
dc.title The M/Ek/r machine interference model steady state equations and numerical solutions en
heal.type journalArticle en
heal.publicationDate 1977 en
heal.abstract This paper studies the machine interference problem in which the running times follow the negative exponential distribution, the repair times the Erlang distribution and the number of operatives is more than one. The steady state equations are derived and it is shown that unlike the case of the M/Ek/r ordinary queueing model, the solution cannot be taken in closed form. An efficient numerical procedure is developed instead, based on a decomposition principle. Tabulated results of the average number of machines running and the operative utilization for a range of the problem parameters are given, for the cases M/E3/2 and M/E3/3. A tentative conclusion for a closeness in performance between the models M/M/r and M/Ek/r is drawn. © 1977. en
heal.journalName European Journal of Operational Research en
dc.identifier.volume 1 en
dc.identifier.issue 2 en
dc.identifier.spage 112 en
dc.identifier.epage 123 en

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