An embedded Markov chain approach to stock rationing under batch orders

dc.contributor.author Mehmet Murat Fadiloglu
dc.contributor.author Önder Bulut
dc.date.accessioned 2025-10-06T17:51:25Z
dc.date.issued 2019
dc.description.abstract We provide an extension to the embedded Markov chain approach of Fadiloglu and Bulut (2010) for the analysis of lot-per-lot inventory systems with backorders under rationing. This extension generalizes the method so that it can be used for the analysis under (QR) policy. We introduce a new embedded Markov chain of higher dimensionality that keeps track of the ordering process. We finally provide a recursive procedure to generate the steady-state probabilities from the chain and obtain the steady-state distribution. © 2019 Elsevier B.V. All rights reserved.
dc.identifier.doi 10.1016/j.orl.2018.12.007
dc.identifier.issn 01676377
dc.identifier.issn 0167-6377
dc.identifier.uri https://www.scopus.com/inward/record.uri?eid=2-s2.0-85060349776&doi=10.1016%2Fj.orl.2018.12.007&partnerID=40&md5=8fdff85893b12269e7824b954d60cd45
dc.identifier.uri https://gcris.yasar.edu.tr/handle/123456789/9434
dc.language.iso English
dc.publisher Elsevier B.V.
dc.relation.ispartof Operations Research Letters
dc.source Operations Research Letters
dc.subject Batch Orders, Embedded Markov Chains, Inventory Models, Rationing, Embedded Systems, Inventory Control, Probability Distributions, Batch Orders, Embedded Markov Chain, Inventory Models, Inventory Systems, Rationing, Recursive Procedure, Steady State Probabilities, Steady-state Distributions, Markov Processes
dc.subject Embedded systems, Inventory control, Probability distributions, Batch orders, Embedded Markov chain, Inventory models, Inventory systems, Rationing, Recursive procedure, Steady state probabilities, Steady-state distributions, Markov processes
dc.title An embedded Markov chain approach to stock rationing under batch orders
dc.type Article
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gdc.description.endpage 98
gdc.description.startpage 92
gdc.description.volume 47
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gdc.oaire.keywords inventory models
gdc.oaire.keywords rationing
gdc.oaire.keywords Inventory, storage, reservoirs
gdc.oaire.keywords batch orders
gdc.oaire.keywords embedded Markov chains
gdc.oaire.popularity 2.6592963E-9
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gdc.oaire.sciencefields 0211 other engineering and technologies
gdc.oaire.sciencefields 02 engineering and technology
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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oaire.citation.endPage 98
oaire.citation.startPage 92
person.identifier.scopus-author-id Fadiloglu- Mehmet Murat (6602212401), Bulut- Önder (35168573500)
publicationissue.issueNumber 2
publicationvolume.volumeNumber 47
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