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Impact of dampening demand variability in a production/inventory system with multiple retailers

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dc.creatorVan Houdt B.spa
dc.creatorPérez, Juan F.spa
dc.date.accessioned2020-08-28T15:49:16Z
dc.date.available2020-08-28T15:49:16Z
dc.date.created2013spa
dc.description.abstractWe study a supply chain consisting of a single manufacturer and two retailers. The manufacturer produces goods on a make-to-order basis, while both retailers maintain an inventory and use a periodic replenishment rule. As opposed to the traditional (r, S) policy, where a retailer at the end of each period orders the demand seen during the previous period, we assume that the retailers dampen their demand variability by smoothing the order size. More specifically, the order placed at the end of a period is equal to ? times the demand seen during the last period plus (1 ? ?) times the previous order size, with ? ? (0, 1] the smoothing parameter. We develop a GI/M/1-type Markov chain with only two nonzero blocks A 0 and A d to analyze this supply chain. The dimension of these blocks prohibits us from computing its rate matrix R in order to obtain the steady state probabilities. Instead we rely on fast numerical methods that exploit the structure of the matrices A 0 and A d , i.e., the power method, the Gauss–Seidel iteration, and GMRES, to approximate the steady state probabilities. Finally, we provide various numerical examples that indicate that the smoothing parameters can be set in such a manner that all the involved parties benefit from smoothing. We consider both homogeneous and heterogeneous settings for the smoothing parameters.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.1007/978-1-4614-4909-6_11
dc.identifier.issnISBN: 978-1-4614-4908-9
dc.identifier.issnEISBN: 978-1-4614-4909-6
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/28527
dc.language.isoengspa
dc.publisherSpringer Sciencespa
dc.publisherBusiness Mediaspa
dc.relation.citationEndPage250
dc.relation.citationStartPage227
dc.relation.citationTitleMatrix-Analytic Methods in Stochastic Models
dc.relation.ispartofMatrix-Analytic Methods in Stochastic Models, ISBN: 978-1-4614-4908-9;EISBN: 978-1-4614-4909-6 (2013); pp.227-250spa
dc.relation.urihttps://link.springer.com/chapter/10.1007/978-1-4614-4909-6_11spa
dc.rights.accesRightsinfo:eu-repo/semantics/restrictedAccess
dc.rights.accesoRestringido (Acceso a grupos específicos)spa
dc.sourceMatrix-Analytic Methods in Stochastic Modelsspa
dc.source.instnameinstname:Universidad del Rosario
dc.source.reponamereponame:Repositorio Institucional EdocUR
dc.subject.keywordStructured markov chainsspa
dc.subject.keywordSupply chainspa
dc.subject.keywordInventoryspa
dc.subject.keywordMSC: primary 60J22spa
dc.subject.keywordSecondary 90B30spa
dc.subject.keyword90B05spa
dc.titleImpact of dampening demand variability in a production/inventory system with multiple retailersspa
dc.title.TranslatedTitleImpacto de atenuar la variabilidad de la demanda en un sistema de producción / inventario con múltiples minoristasspa
dc.typebookParteng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaParte de librospa
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