Linear programming model to minimize the production costs of an adhesive tape company
Production in large quantities of different varieties of products creates issues in finding an optimal planning solution. Adhesive tapes companies face that challenge. A multi-phased methodology is proposed to minimize production costs. In this it is considered different production variables. First...
- Autores:
-
Coronado-Hernandez, Jairo R.
de la Hoz, Laura
Leyva, Jaime
Ramos, María
Zapatero, Orlando
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/7824
- Acceso en línea:
- https://hdl.handle.net/11323/7824
https://repositorio.cuc.edu.co/
- Palabra clave:
- Aggregate planning
linear programming model
production
costs minimization
adhesive tapes
- Rights
- openAccess
- License
- Attribution-NonCommercial-NoDerivatives 4.0 International
| id |
RCUC2_c704e1f1ab9710c92d0c0146390d69b7 |
|---|---|
| oai_identifier_str |
oai:repositorio.cuc.edu.co:11323/7824 |
| network_acronym_str |
RCUC2 |
| network_name_str |
REDICUC - Repositorio CUC |
| repository_id_str |
|
| dc.title.spa.fl_str_mv |
Linear programming model to minimize the production costs of an adhesive tape company |
| title |
Linear programming model to minimize the production costs of an adhesive tape company |
| spellingShingle |
Linear programming model to minimize the production costs of an adhesive tape company Aggregate planning linear programming model production costs minimization adhesive tapes |
| title_short |
Linear programming model to minimize the production costs of an adhesive tape company |
| title_full |
Linear programming model to minimize the production costs of an adhesive tape company |
| title_fullStr |
Linear programming model to minimize the production costs of an adhesive tape company |
| title_full_unstemmed |
Linear programming model to minimize the production costs of an adhesive tape company |
| title_sort |
Linear programming model to minimize the production costs of an adhesive tape company |
| dc.creator.fl_str_mv |
Coronado-Hernandez, Jairo R. de la Hoz, Laura Leyva, Jaime Ramos, María Zapatero, Orlando |
| dc.contributor.author.spa.fl_str_mv |
Coronado-Hernandez, Jairo R. de la Hoz, Laura Leyva, Jaime Ramos, María Zapatero, Orlando |
| dc.subject.spa.fl_str_mv |
Aggregate planning linear programming model production costs minimization adhesive tapes |
| topic |
Aggregate planning linear programming model production costs minimization adhesive tapes |
| description |
Production in large quantities of different varieties of products creates issues in finding an optimal planning solution. Adhesive tapes companies face that challenge. A multi-phased methodology is proposed to minimize production costs. In this it is considered different production variables. First phase divided a problem into subproblems to minimize computational complexity through an incidence matrix. Second phase formulated a linear programming model to determine production optimal batch sizes. Consequently, model is applied in a real company. Results showed a decrease in production costs in a range of 14%-43% for the different manufactured groups of components. In this way it is expected that more companies can apply similar models to improve their production indicators. |
| publishDate |
2020 |
| dc.date.issued.none.fl_str_mv |
2020 |
| dc.date.accessioned.none.fl_str_mv |
2021-02-04T16:12:53Z |
| dc.date.available.none.fl_str_mv |
2021-02-04T16:12:53Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
| dc.type.content.spa.fl_str_mv |
Text |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/acceptedVersion |
| format |
http://purl.org/coar/resource_type/c_6501 |
| status_str |
acceptedVersion |
| dc.identifier.uri.spa.fl_str_mv |
https://hdl.handle.net/11323/7824 |
| dc.identifier.doi.spa.fl_str_mv |
Digitahttp://dx.doi.org/10.18687/LACCEI2020.1.1.369 |
| 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/11323/7824 https://repositorio.cuc.edu.co/ |
| identifier_str_mv |
Digitahttp://dx.doi.org/10.18687/LACCEI2020.1.1.369 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.references.spa.fl_str_mv |
[1] Markets and markets, “Adhesive Tapes Market by Resin Type & Technology - Global Forecast 2022 | MarketsandMarkets,” 2019. [Online]. Available: https://www.marketsandmarkets.com/MarketReports/adhesive-tapes-market251563138.html?gclid=Cj0KCQiAmsrxBRDaARIsANyiD1pnFZH ZBVHeUYsjYAjsGG5K6fF43wi84nVW75RA3WfSJOqf94tE7lUa AiVdEALw_wcB. [Accessed: 30-Jan-2020]. [2] J. P. Reyes Vasquez and C. G. Molina Velis, “Plan Agregado de Producción Mediante el Uso de un Algoritmo de Programación Lineal: Un caso de Estudio,” Rev. Politécnica, vol. 34, no. 1, pp. 1– 7, 2014 [3] D. Cáceres, J. Reyes, and M. García, “Modelo de Programación Lineal para Planeación de Requerimiento de Materiales,” Rev. Tecnológica ESPOL – RTE, vol. 28, no. Septiembre, pp. 24–33, 2015. [4] Y. R. Zotelo, J. Mula, M. Díaz-Madroñero, and E. G. González, “Plan maestro de producción basado en programación lineal entera para una empresa de productos químicos,” Rev. Métodos Cuantitativos para la Econ. y la Empres., vol. 24, pp. 147–168, 2017. [5] W. A. Sarache, “El proceso de planificación, programación y control de la producción. Una aproximación teórica y conceptual,” Manizales, 2003. [6] N. Gaither and G. Frazier, Administración de producción y operaciones. International Thomson, 2000. [7] J. Heizer and B. Render, Principios de Administración de Operaciones, 7th ed. México D.F.. México, 2009. [8] S. Nahmias, Análisis de la producción y las operaciones, 5th ed. México D.F.. México, 2007 [9] J. Mula, R. Poler, G. S. García-Sabater, and F. C. Lario, “Models for production planning under uncertainty: A review,” Int. J. Prod. Econ., vol. 103, no. 1, pp. 271–285, 2006. [10] M. D. A. Serna, C. V. Rodríguez, and H. G. Montoya, “Modelización difusa para la planificación agregada de la producción en ambientes de incertidumbre,” DYNA, vol. 77, no. 162, pp. 397–409, 2010. [11] C. Gomes da Silva, J. Figueira, J. Lisboa, and S. Barman, “An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming,” Omega, vol. 34, no. 2, pp. 167–177, 2006. [12] J. R. Coronado-Hernandez, D. Simancas-Mateus, K. AvilaMartinez, and J. P. Garcia-Sabater, “Heuristic for material and operations planning in supply chains with alternative product |
| dc.rights.spa.fl_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International |
| dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
| dc.rights.coar.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| rights_invalid_str_mv |
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Corporación Universidad de la Costa |
| dc.source.spa.fl_str_mv |
Education, and Technology |
| institution |
Corporación Universidad de la Costa |
| dc.source.url.spa.fl_str_mv |
http://laccei.org/LACCEI2020-VirtualEdition/full_papers/FP369.pdf |
| bitstream.url.fl_str_mv |
https://repositorio.cuc.edu.co/bitstreams/af27379f-0f6d-4c41-b252-48272f526121/download https://repositorio.cuc.edu.co/bitstreams/d3491d17-8dde-467e-b39d-5323bfe9ea1b/download https://repositorio.cuc.edu.co/bitstreams/383860de-9379-40dc-a528-2336f8424b9d/download https://repositorio.cuc.edu.co/bitstreams/42de6013-524a-4f2d-9dff-52bc165a0508/download https://repositorio.cuc.edu.co/bitstreams/7253b605-dc1d-40aa-beef-ed1d8612b49a/download |
| bitstream.checksum.fl_str_mv |
024c48b9bb5f6572c67fafbe069b5404 4460e5956bc1d1639be9ae6146a50347 e30e9215131d99561d40d6b0abbe9bad 9886a805b450a2236e5f33bc11b71fda d42a6b7f56ce9fb902108f1c977f7d25 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio de la Universidad de la Costa CUC |
| repository.mail.fl_str_mv |
repdigital@cuc.edu.co |
| _version_ |
1811760721669652480 |
| spelling |
Coronado-Hernandez, Jairo R.de la Hoz, LauraLeyva, JaimeRamos, MaríaZapatero, Orlando2021-02-04T16:12:53Z2021-02-04T16:12:53Z2020https://hdl.handle.net/11323/7824Digitahttp://dx.doi.org/10.18687/LACCEI2020.1.1.369Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Production in large quantities of different varieties of products creates issues in finding an optimal planning solution. Adhesive tapes companies face that challenge. A multi-phased methodology is proposed to minimize production costs. In this it is considered different production variables. First phase divided a problem into subproblems to minimize computational complexity through an incidence matrix. Second phase formulated a linear programming model to determine production optimal batch sizes. Consequently, model is applied in a real company. Results showed a decrease in production costs in a range of 14%-43% for the different manufactured groups of components. In this way it is expected that more companies can apply similar models to improve their production indicators.Coronado-Hernandez, Jairo R.-will be generated-orcid-0000-0003-4360-6128-600de la Hoz, LauraLeyva, JaimeRamos, MaríaZapatero, Orlandoapplication/pdfengCorporación Universidad de la CostaAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Education, and Technologyhttp://laccei.org/LACCEI2020-VirtualEdition/full_papers/FP369.pdfAggregate planninglinear programming modelproductioncosts minimizationadhesive tapesLinear programming model to minimize the production costs of an adhesive tape companyArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/acceptedVersion[1] Markets and markets, “Adhesive Tapes Market by Resin Type & Technology - Global Forecast 2022 | MarketsandMarkets,” 2019. [Online]. Available: https://www.marketsandmarkets.com/MarketReports/adhesive-tapes-market251563138.html?gclid=Cj0KCQiAmsrxBRDaARIsANyiD1pnFZH ZBVHeUYsjYAjsGG5K6fF43wi84nVW75RA3WfSJOqf94tE7lUa AiVdEALw_wcB. [Accessed: 30-Jan-2020].[2] J. P. Reyes Vasquez and C. G. Molina Velis, “Plan Agregado de Producción Mediante el Uso de un Algoritmo de Programación Lineal: Un caso de Estudio,” Rev. Politécnica, vol. 34, no. 1, pp. 1– 7, 2014[3] D. Cáceres, J. Reyes, and M. García, “Modelo de Programación Lineal para Planeación de Requerimiento de Materiales,” Rev. Tecnológica ESPOL – RTE, vol. 28, no. Septiembre, pp. 24–33, 2015.[4] Y. R. Zotelo, J. Mula, M. Díaz-Madroñero, and E. G. González, “Plan maestro de producción basado en programación lineal entera para una empresa de productos químicos,” Rev. Métodos Cuantitativos para la Econ. y la Empres., vol. 24, pp. 147–168, 2017.[5] W. A. Sarache, “El proceso de planificación, programación y control de la producción. Una aproximación teórica y conceptual,” Manizales, 2003.[6] N. Gaither and G. Frazier, Administración de producción y operaciones. International Thomson, 2000.[7] J. Heizer and B. Render, Principios de Administración de Operaciones, 7th ed. México D.F.. México, 2009.[8] S. Nahmias, Análisis de la producción y las operaciones, 5th ed. México D.F.. México, 2007[9] J. Mula, R. Poler, G. S. García-Sabater, and F. C. Lario, “Models for production planning under uncertainty: A review,” Int. J. Prod. Econ., vol. 103, no. 1, pp. 271–285, 2006.[10] M. D. A. Serna, C. V. Rodríguez, and H. G. Montoya, “Modelización difusa para la planificación agregada de la producción en ambientes de incertidumbre,” DYNA, vol. 77, no. 162, pp. 397–409, 2010.[11] C. Gomes da Silva, J. Figueira, J. Lisboa, and S. Barman, “An interactive decision support system for an aggregate production planning model based on multiple criteria mixed integer linear programming,” Omega, vol. 34, no. 2, pp. 167–177, 2006.[12] J. R. Coronado-Hernandez, D. Simancas-Mateus, K. AvilaMartinez, and J. P. Garcia-Sabater, “Heuristic for material and operations planning in supply chains with alternative productPublicationORIGINALLinear programming model to minimize the production costs of an adhesive tape company.pdfLinear programming model to minimize the production costs of an adhesive tape company.pdfapplication/pdf94472https://repositorio.cuc.edu.co/bitstreams/af27379f-0f6d-4c41-b252-48272f526121/download024c48b9bb5f6572c67fafbe069b5404MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8805https://repositorio.cuc.edu.co/bitstreams/d3491d17-8dde-467e-b39d-5323bfe9ea1b/download4460e5956bc1d1639be9ae6146a50347MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-83196https://repositorio.cuc.edu.co/bitstreams/383860de-9379-40dc-a528-2336f8424b9d/downloade30e9215131d99561d40d6b0abbe9badMD53THUMBNAILLinear programming model to minimize the production costs of an adhesive tape company.pdf.jpgLinear programming model to minimize the production costs of an adhesive tape company.pdf.jpgimage/jpeg32893https://repositorio.cuc.edu.co/bitstreams/42de6013-524a-4f2d-9dff-52bc165a0508/download9886a805b450a2236e5f33bc11b71fdaMD54TEXTLinear programming model to minimize the production costs of an adhesive tape company.pdf.txtLinear programming model to minimize the production costs of an adhesive tape company.pdf.txttext/plain1134https://repositorio.cuc.edu.co/bitstreams/7253b605-dc1d-40aa-beef-ed1d8612b49a/downloadd42a6b7f56ce9fb902108f1c977f7d25MD5511323/7824oai:repositorio.cuc.edu.co:11323/78242024-09-17 10:48:04.311http://creativecommons.org/licenses/by-nc-nd/4.0/Attribution-NonCommercial-NoDerivatives 4.0 Internationalopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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 |