Economic order quantity for perishables with decreasing willingness to purchase during their life cycle

In an inventory management model for perishables, depletion due to interacting with the demand is of importance, but also, damage to products is a relevant variable. This article considers that demand and sales phenomena do not always gohand-in-hand. The demand process relates tothe willingnessto ac...

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Autores:
Suárez Díaz, Ronald David
Paternina-Arboleda, Carlos
Martínez-Flores, José Luis
Jimenez Barros, Miguel Angel
Tipo de recurso:
http://purl.org/coar/resource_type/c_816b
Fecha de publicación:
2020
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/6232
Acceso en línea:
https://hdl.handle.net/11323/6232
https://repositorio.cuc.edu.co/
Palabra clave:
EOQ model
Perishables
Purchase probability
Rights
openAccess
License
CC0 1.0 Universal
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oai_identifier_str oai:repositorio.cuc.edu.co:11323/6232
network_acronym_str RCUC2
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repository_id_str
dc.title.spa.fl_str_mv Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
title Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
spellingShingle Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
EOQ model
Perishables
Purchase probability
title_short Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
title_full Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
title_fullStr Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
title_full_unstemmed Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
title_sort Economic order quantity for perishables with decreasing willingness to purchase during their life cycle
dc.creator.fl_str_mv Suárez Díaz, Ronald David
Paternina-Arboleda, Carlos
Martínez-Flores, José Luis
Jimenez Barros, Miguel Angel
dc.contributor.author.spa.fl_str_mv Suárez Díaz, Ronald David
Paternina-Arboleda, Carlos
Martínez-Flores, José Luis
Jimenez Barros, Miguel Angel
dc.subject.spa.fl_str_mv EOQ model
Perishables
Purchase probability
topic EOQ model
Perishables
Purchase probability
description In an inventory management model for perishables, depletion due to interacting with the demand is of importance, but also, damage to products is a relevant variable. This article considers that demand and sales phenomena do not always gohand-in-hand. The demand process relates tothe willingnessto acquireproducts in goodcondition, givingthecustomerthepowertoevaluatethequalityoftheproductbeforeaneffectivepurchase takes place. We also considered the cost of disposing of unsold units, besides the conventional costs for storage and procurement. We then proposed a mathematical model to derive the Economic Order Quantity (EOQ) under specific conditions, in order to minimize the expected management cost of perishables, assuming constant demand and linearly decreasing purchase probability during the product life cycle. We proposed several random instances and validate the mathematical model using simulation. We then found the optimal parameters for the inventory policy using a third-order numerical approximation. Last, we developed a sensitivity analysis over the product life cycle to prove that the proposed model approximates to a traditional EOQ model for perishables when life cycle is sufficiently large.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 2020-04-21T15:17:14Z
dc.date.available.none.fl_str_mv 2020-04-21T15:17:14Z
dc.date.issued.none.fl_str_mv 2020
dc.type.spa.fl_str_mv Pre-Publicación
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_816b
dc.type.content.spa.fl_str_mv Text
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/preprint
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dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
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status_str acceptedVersion
dc.identifier.uri.spa.fl_str_mv https://hdl.handle.net/11323/6232
dc.identifier.instname.spa.fl_str_mv Corporación Universidad de la Costa
dc.identifier.reponame.spa.fl_str_mv REDICUC - Repositorio CUC
dc.identifier.repourl.spa.fl_str_mv https://repositorio.cuc.edu.co/
url https://hdl.handle.net/11323/6232
https://repositorio.cuc.edu.co/
identifier_str_mv Corporación Universidad de la Costa
REDICUC - Repositorio CUC
dc.language.iso.none.fl_str_mv eng
language eng
dc.rights.spa.fl_str_mv CC0 1.0 Universal
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/publicdomain/zero/1.0/
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http://creativecommons.org/publicdomain/zero/1.0/
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eu_rights_str_mv openAccess
dc.publisher.spa.fl_str_mv Universidad de la Costa
institution Corporación Universidad de la Costa
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spelling Suárez Díaz, Ronald DavidPaternina-Arboleda, CarlosMartínez-Flores, José LuisJimenez Barros, Miguel Angel2020-04-21T15:17:14Z2020-04-21T15:17:14Z2020https://hdl.handle.net/11323/6232Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/In an inventory management model for perishables, depletion due to interacting with the demand is of importance, but also, damage to products is a relevant variable. This article considers that demand and sales phenomena do not always gohand-in-hand. The demand process relates tothe willingnessto acquireproducts in goodcondition, givingthecustomerthepowertoevaluatethequalityoftheproductbeforeaneffectivepurchase takes place. We also considered the cost of disposing of unsold units, besides the conventional costs for storage and procurement. We then proposed a mathematical model to derive the Economic Order Quantity (EOQ) under specific conditions, in order to minimize the expected management cost of perishables, assuming constant demand and linearly decreasing purchase probability during the product life cycle. We proposed several random instances and validate the mathematical model using simulation. We then found the optimal parameters for the inventory policy using a third-order numerical approximation. Last, we developed a sensitivity analysis over the product life cycle to prove that the proposed model approximates to a traditional EOQ model for perishables when life cycle is sufficiently large.Suárez Díaz, Ronald DavidPaternina-Arboleda, Carlos-will be generated-orcid-0000-0002-8860-3898-600Martínez-Flores, José LuisJimenez Barros, Miguel Angel-will be generated-orcid-0000-0002-8038-7297-600engUniversidad de la CostaCC0 1.0 Universalhttp://creativecommons.org/publicdomain/zero/1.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2EOQ modelPerishablesPurchase probabilityEconomic order quantity for perishables with decreasing willingness to purchase during their life cyclePre-Publicaciónhttp://purl.org/coar/resource_type/c_816bTextinfo:eu-repo/semantics/preprinthttp://purl.org/redcol/resource_type/ARTOTRinfo:eu-repo/semantics/acceptedVersionPublicationORIGINALEconomic order quantity for perishables with decreasing willingness to purchase during their life cycle .pdfEconomic order quantity for perishables with decreasing willingness to purchase during their life cycle .pdfapplication/pdf105084https://repositorio.cuc.edu.co/bitstreams/de53109e-326f-402b-b707-c08d912fdcc0/downloadf001e2bb561c57cf1bc7cbe4528a6329MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8701https://repositorio.cuc.edu.co/bitstreams/57fd8009-b5c4-4fff-aedb-b54ab67360ac/download42fd4ad1e89814f5e4a476b409eb708cMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/aa1c4ff6-f8ba-4491-8ad9-530f5ad34f94/download8a4605be74aa9ea9d79846c1fba20a33MD53THUMBNAILEconomic order quantity for perishables with decreasing willingness to purchase during their life cycle .pdf.jpgEconomic order quantity for perishables with decreasing willingness to purchase during their life cycle .pdf.jpgimage/jpeg56966https://repositorio.cuc.edu.co/bitstreams/d882e30f-0acb-422c-84e0-16e270911c57/downloada5dc38dfaa5d48ed9de297570210303dMD54TEXTEconomic order quantity for perishables with decreasing willingness to purchase during their life cycle .pdf.txtEconomic order quantity for perishables with decreasing willingness to purchase during their life cycle .pdf.txttext/plain1542https://repositorio.cuc.edu.co/bitstreams/dd9bfb1d-f9d4-42ff-9d3d-2434d8c7592d/download92c6c26df27b4bbb2a910edc0f563922MD5511323/6232oai:repositorio.cuc.edu.co:11323/62322024-09-17 10:18:16.044http://creativecommons.org/publicdomain/zero/1.0/CC0 1.0 Universalopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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