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

Maritas, DG; Xirokostas, DA

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	https://dspace.lib.ntua.gr/xmlui/handle/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