Some structural properties of a Markovian storage/production system

DC FieldValueLanguage
dc.contributor.authorStadje, W
dc.date.accessioned2021-12-23T15:59:04Z-
dc.date.available2021-12-23T15:59:04Z-
dc.date.issued1997
dc.identifier.issn02570130
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/3715-
dc.description.abstractWe consider a storage/production system with state-dependent production rate and state-dependent demand arrival rate. Every arriving demand gives rise to a `peak' in the trajectory of the content process. We characterize the processes N-0(x) and N-1(x), defined as the number of peaks and the number of record peaks, respectively, before the content reaches the level x. The results are applied to the virtual waiting time process W(t) of a M/G/1 queue. Assuming that W(0) = x(0), M(x) is defined to be the number of arrivals before the virtual waiting time drops from x(0) to x(0-x) (0 less than or equal to x less than or equal to x(0)); in particular, M(x(0)) is the number of customers arriving during the first busy period. It is shown that (M(x))(0 less than or equal to x less than or equal to x0) is a compound Poisson process, and its jump size distribution is derived in closed form.
dc.language.isoen
dc.publisherBALTZER SCI PUBL BV
dc.relation.ispartofQUEUEING SYSTEMS
dc.subjectComputer Science
dc.subjectComputer Science, Interdisciplinary Applications
dc.subjectcontent process
dc.subjectindependent increments
dc.subjectM/G/1
dc.subjectnonhomogeneous Poisson process
dc.subjectOperations Research & Management Science
dc.subjectpeak
dc.subjectstorage/production system
dc.subjectvirtual waiting time
dc.titleSome structural properties of a Markovian storage/production system
dc.typejournal article
dc.identifier.doi10.1023/A:1019112703841
dc.identifier.isiISI:A1997XL28300012
dc.description.volume25
dc.description.issue1-4
dc.description.startpage339
dc.description.endpage350
dc.publisher.placeASTERWEG 1A, 1031 HL AMSTERDAM, NETHERLANDS
dcterms.isPartOf.abbreviationQueuing Syst.
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidStWo325-
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