The (S-1, S) inventory model and its counterparts in queueing theory

DC FieldValueLanguage
dc.contributor.authorBoxma, Onno J.
dc.contributor.authorPerry, David
dc.contributor.authorStadje, Wolfgang
dc.date.accessioned2021-12-23T16:13:22Z-
dc.date.available2021-12-23T16:13:22Z-
dc.date.issued2019
dc.identifier.issn01676377
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/10534-
dc.description.abstractWe explore the relationship between the (S - 1, S) inventory model and three well-known queueing models: the Erlang loss system, the machine-repair model and a two-node Jackson network. Exploiting this relationship allows us to obtain key performance measures of the (S - 1, S) model, like the so-called virtual outdating time, the number of items on the shelf in steady state, the long-run rate of unsatisfied demands and the distribution of the empty shelf period. (C) 2019 Published by Elsevier B.V.
dc.description.sponsorshipNWO Gravitation Programme NETWORKS [024.002.003]; The authors gratefully acknowledge contributions from Marko Boon and Geert-Jan van Houtum. The research of Onno Boxma was partly funded by the NWO Gravitation Programme NETWORKS, Grant Number 024.002.003.
dc.language.isoen
dc.publisherELSEVIER
dc.relation.ispartofOPERATIONS RESEARCH LETTERS
dc.subject(S-1, S) inventory model
dc.subjectErlang loss system
dc.subjectJackson network
dc.subjectMachine-repair model
dc.subjectOperations Research & Management Science
dc.subjectQUEUES
dc.subjectVirtual outdating time
dc.titleThe (S-1, S) inventory model and its counterparts in queueing theory
dc.typejournal article
dc.identifier.doi10.1016/j.orl.2019.08.003
dc.identifier.isiISI:000500037400004
dc.description.volume47
dc.description.issue6
dc.description.startpage483
dc.description.endpage488
dc.identifier.eissn18727468
dc.publisher.placeRADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS
dcterms.isPartOf.abbreviationOper. Res. Lett.
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidStWo325-
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