Mathematical model for production sequencing in a manufacturing company
The objective of the research was to determine the optimal sequence of production of n jobs in m operations, in a small footwear manufacturing company with characteristics of a flow shop machine environment, which minimizes the total time of completion of jobs in the production system, makespan. A m...
- Autores:
-
Parra LLanos, John Wilmer
Caicedo-Rolón, Alvaro Jr
Rivera Cadavid, Leonardo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2019
- Institución:
- UNIVERSIDAD FRANCISCO DE PAULA SANTANDER
- Repositorio:
- Repositorio Digital UFPS
- Idioma:
- eng
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- oai:repositorio.ufps.edu.co:ufps/966
- Acceso en línea:
- http://repositorio.ufps.edu.co/handle/ufps/966
- Palabra clave:
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Mathematical model for production sequencing in a manufacturing company |
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Parra LLanos, John Wilmer Caicedo-Rolón, Alvaro Jr Rivera Cadavid, Leonardo |
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Parra LLanos, John Wilmer Caicedo-Rolón, Alvaro Jr Rivera Cadavid, Leonardo |
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The objective of the research was to determine the optimal sequence of production of n jobs in m operations, in a small footwear manufacturing company with characteristics of a flow shop machine environment, which minimizes the total time of completion of jobs in the production system, makespan. A mathematical model of integer linear programming was designed, coded and solved by means of the JuliaPro software. It shows the production sequence that does not consider permutation, and minimizes makespan with 3807 minutes. The mathematical model of optimization is presented as a flexible and valuable tool for operational decision making, which could be replicated in other manufacturing companies, impacting on the improvement of costs and delivery times. |
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2019 |
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2019-11-19 |
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2021-11-14T15:36:09Z |
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10.1088/1742-6596/1388/1/012001 |
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eng |
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Journal of Physics: Conference Series |
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Vol.1388 No.1.(2019) |
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7 |
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1 (2019) |
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Caicedo, A. J., Parra, J. W., & Rivera, L. (2019, November). Mathematical model for production sequencing in a manufacturing company. In Journal of Physics: Conference Series (Vol. 1388, No. 1, p. 012001). IOP Publishing. |
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Journal of Physics: Conference Series |
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Parra LLanos, John Wilmer71c25954e9b94ea54af9ebf0502af0aa600Caicedo-Rolón, Alvaro Jrf0c2aad81e6482336e18351dd1a9d304600Rivera Cadavid, Leonardo1cb3b5042600922c8d560b067644ed942021-11-14T15:36:09Z2021-11-14T15:36:09Z2019-11-19http://repositorio.ufps.edu.co/handle/ufps/96610.1088/1742-6596/1388/1/012001The objective of the research was to determine the optimal sequence of production of n jobs in m operations, in a small footwear manufacturing company with characteristics of a flow shop machine environment, which minimizes the total time of completion of jobs in the production system, makespan. A mathematical model of integer linear programming was designed, coded and solved by means of the JuliaPro software. It shows the production sequence that does not consider permutation, and minimizes makespan with 3807 minutes. The mathematical model of optimization is presented as a flexible and valuable tool for operational decision making, which could be replicated in other manufacturing companies, impacting on the improvement of costs and delivery times.application/pdfengJournal of Physics: Conference SeriesLondres, Reino UnidoJournal of Physics: Conference SeriesVol.1388 No.1.(2019)71 (2019)11388Caicedo, A. J., Parra, J. W., & Rivera, L. (2019, November). Mathematical model for production sequencing in a manufacturing company. In Journal of Physics: Conference Series (Vol. 1388, No. 1, p. 012001). IOP Publishing.Journal of Physics: Conference SeriesContent from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltdinfo:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://iopscience.iop.org/article/10.1088/1742-6596/1388/1/012001/metaMathematical model for production sequencing in a manufacturing companyArtículo de revistahttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Krajewski L J, Ritzman L P and Malhotra M K 2008 Administración de operaciones procesos y cadenas de valor (México: Pearson Education)Habib A, Jilcha K and Berhan E 2015 Afro-European Conference for Industrial Advancement Advancement (Addis Ababa) (Cham: Springer International Publishing) 261-269Pinedo M 2010 Scheduling, theory, algorithm and systems (New York: Springer)Mendez Giraldo G 2011 Programacion de tareas - scheduling (Bogotá: Universidad Distrital Francisco José de Caldas)Osorio Gómez J C, Castrillón Montenegro O E, Andrea Toro Cardona J and Pablo Orejuela Cabrera J 2008 Modelo de programación jerárquica de la producción en un job shop flexible con interrupciones y tiempos de alistamiento dependientes de la secuencia Revista ingeniería e investigación 28 72-79Gupta J N and Stafford E F Jr 2006 Flowshop scheduling research after five decades European Journal of Operational Research 169 699-711Buzzo W R and Moccellin J V 2000 Programação da produção em sistemas flow shop utilizando um método heurístico híbrido algoritmo genético-simulated annealing Gestão & produção 7 364-377Reza Hejazi S and Saghafian S 2005 Flowshop-scheduling problems with makespan criterion: a review International Journal of Production Research 43 2895-2929Bermudez Colina Y 2011 Aplicaciones de programación lineal, entera y mixta Ingeniería Industrial Actualidad y Nuevas Tendencias 2 85-104Jain A S and Meeran S 1998 A state of the art review of job shop scheduling techniques (Scotland: University of Dundee, Dundee) 1-48Guédez Fernández C 2011 Programación lineal e ingeniería industrial: una aproximación al estado del arte Ingeniería Industrial Actualidad y Nuevas Tendencias 2 61-78Herrmann J W 2007 The legacy of Taylor, Gantt, and Johnson. How to improve production scheduling (College Park: The Institute for Systems Research)Ferreira D, Morabito R and Rangel S 2008 Um modelo de otimizagao inteira mista e heurísticas relax and fix para a programação da produção de fábricas de refrigerantes de pequeno porte Produção 18 76-88Ballesteros Silva P P et al 2013 Aplicación de una heurística constructiva en programación secuencial para asignación de varios trabajos a varias máquinas en paralelo Scientia Et Technica 18 120-125Rojas Santiago M 2012 Diálogos y desafíos euro- latinoamericanos: ensayos sobre cooperación, derecho, educación y comunicación (Barranquilla: Editorial Universidad del Norte) Utilización de heurísticas para programar Job Shops 328-346Costa N M L, Varela M L R and Carmo-Silva S 2014 Sixth World Congress on Nature and Biologically Inspired Computing (Porto: IEEE) 196-201Morais M F and Moccellin J V 2010 Métodos heurísticos construtivos para redução do estoque em processo em ambientes de produção flow shop híbridos com tempos de setup dependentes da sêquencia Gestão & Produção 17 367-375Cherkos T 2011 Performance analysis and improvement of ethiopian leather footwear factories: with special reference to anbessa shoe share company (Etiopia: Addis Ababa University)Chase R B, Jacobs F R and Aquilano N J 2009 Administración de operaciones producción y cadena de suministros (México: McGraw-Hill)Alarcón López L V, Caro Sánchez J A and González Urrea L C 2016 Prospectiva del sector de calzado de cuero en Colombia, caso calzado yullyan (Bogotá: Universidad del Rosario Colombia)Asociación Colombiana de Industriales del Calzado, el Cuero y sus Manufacturas 2017 La industria del calzado y marroquinería cerro el 2016 en terreno positivo (Bogotá: ACICAM)Taha H A 2012 Investigación de operaciones (México: Pearson Education)Restrepo J 2011 Aplicación de la heurística de gupta en la secuenciación de n tareas en m máquinas: un caso de estudio Scientia et Technica 3 69-71Restrepo Correa J H, Bernal Loaiza M E and Cock Sarmiento G 2012 Aplicación de la heurística de CDS en la secuenciación de tareas en máquinas: un caso de estudio Scientia et technica 17 183-188Restrepo J H 2010 Aplicación de la heurística de palmer en la secuenciación de n tareas en m máquinas: un caso de estudio Scientia et Technica 3 175-178Medina P D, Cruz E A and Restrepo J H 2008 Programación de trabajos en una maquina utilizando un modelo de programación lineal entera Scientia Et Technica 3 111-116Ramírez G, Torné M and Orejuela-Cabrera J 2008 Programación de operaciones para el llenado de tolvas dosificadoras en una empresa de concentrados Revista Ingenierías 11 165-178ORIGINALMathematical model for production sequencing in a manufacturing company.pdfMathematical model for production sequencing in a manufacturing 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 incorporada en las Obras Colectivas.

b.	Distribuir copias o fonogramas de las Obras, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública, incluyéndolas como incorporadas en Obras Colectivas, según corresponda.

c.	Distribuir copias de las Obras Derivadas que se generen, exhibirlas públicamente, ejecutarlas públicamente y/o ponerlas a disposición pública.
Los derechos mencionados anteriormente pueden ser ejercidos en todos los medios y formatos, actualmente conocidos o que se inventen en el futuro. Los derechos antes mencionados incluyen el derecho a realizar dichas modificaciones en la medida que sean técnicamente necesarias para ejercer los derechos en otro medio o formatos, pero de otra manera usted no está autorizado para realizar obras derivadas. Todos los derechos no otorgados expresamente por el Licenciante quedan por este medio reservados, incluyendo pero sin limitarse a aquellos que se mencionan en las secciones 4(d) y 4(e).

4. Restricciones.
La licencia otorgada en la anterior Sección 3 está expresamente sujeta y limitada por las siguientes restricciones:

a.	Usted puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra sólo bajo las condiciones de esta Licencia, y Usted debe incluir una copia de esta licencia o del Identificador Universal de Recursos de la misma con cada copia de la Obra que distribuya, exhiba públicamente, ejecute públicamente o ponga a disposición pública. No es posible ofrecer o imponer ninguna condición sobre la Obra que altere o limite las condiciones de esta Licencia o el ejercicio de los derechos de los destinatarios otorgados en este documento. No es posible sublicenciar la Obra. Usted debe mantener intactos todos los avisos que hagan referencia a esta Licencia y a la cláusula de limitación de garantías. Usted no puede distribuir, exhibir públicamente, ejecutar públicamente, o poner a disposición pública la Obra con alguna medida tecnológica que controle el acceso o la utilización de ella de una forma que sea inconsistente con las condiciones de esta Licencia. Lo anterior se aplica a la Obra incorporada a una Obra Colectiva, pero esto no exige que la Obra Colectiva aparte de la obra misma quede sujeta a las condiciones de esta Licencia. Si Usted crea una Obra Colectiva, previo aviso de cualquier Licenciante debe, en la medida de lo posible, eliminar de la Obra Colectiva cualquier referencia a dicho Licenciante o al Autor Original, según lo solicitado por el Licenciante y conforme lo exige la cláusula 4(c).

b.	Usted no puede ejercer ninguno de los derechos que le han sido otorgados en la Sección 3 precedente de modo que estén principalmente destinados o directamente dirigidos a conseguir un provecho comercial o una compensación monetaria privada. El intercambio de la Obra por otras obras protegidas por derechos de autor, ya sea a través de un sistema para compartir archivos digitales (digital file-sharing) o de cualquier otra manera no será considerado como estar destinado principalmente o dirigido directamente a conseguir un provecho comercial o una compensación monetaria privada, siempre que no se realice un pago mediante una compensación monetaria en relación con el intercambio de obras protegidas por el derecho de autor.

c.	Si usted distribuye, exhibe públicamente, ejecuta públicamente o ejecuta públicamente en forma digital la Obra o cualquier Obra Derivada u Obra Colectiva, Usted debe mantener intacta toda la información de derecho de autor de la Obra y proporcionar, de forma razonable según el medio o manera que Usted esté utilizando: (i) el nombre del Autor Original si está provisto (o seudónimo, si fuere aplicable), y/o (ii) el nombre de la parte o las partes que el Autor Original y/o el Licenciante hubieren designado para la atribución (v.g., un instituto patrocinador, editorial, publicación) en la información de los derechos de autor del Licenciante, términos de servicios o de otras formas razonables; el título de la Obra si está provisto; en la medida de lo razonablemente factible y, si está provisto, el Identificador Uniforme de Recursos (Uniform Resource Identifier) que el Licenciante especifica para ser asociado con la Obra, salvo que tal URI no se refiera a la nota sobre los derechos de autor o a la información sobre el licenciamiento de la Obra; y en el caso de una Obra Derivada, atribuir el crédito identificando el uso de la Obra en la Obra Derivada (v.g., "Traducción Francesa de la Obra del Autor Original," o "Guión Cinematográfico basado en la Obra original del Autor Original"). Tal crédito puede ser implementado de cualquier forma razonable; en el caso, sin embargo, de Obras Derivadas u Obras Colectivas, tal crédito aparecerá, como mínimo, donde aparece el crédito de cualquier otro autor comparable y de una manera, al menos, tan destacada como el crédito de otro autor comparable.

d.	Para evitar toda confusión, el Licenciante aclara que, cuando la obra es una composición musical:

i.	Regalías por interpretación y ejecución bajo licencias generales. El Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública o la ejecución pública digital de la obra y de recolectar, sea individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, SAYCO), las regalías por la ejecución pública o por la ejecución pública digital de la obra (por ejemplo Webcast) licenciada bajo licencias generales, si la interpretación o ejecución de la obra está primordialmente orientada por o dirigida a la obtención de una ventaja comercial o una compensación monetaria privada.

ii.	Regalías por Fonogramas. El Licenciante se reserva el derecho exclusivo de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, los consagrados por la SAYCO), una agencia de derechos musicales o algún agente designado, las regalías por cualquier fonograma que Usted cree a partir de la obra (“versión cover”) y distribuya, en los términos del régimen de derechos de autor, si la creación o distribución de esa versión cover está primordialmente destinada o dirigida a obtener una ventaja comercial o una compensación monetaria privada.

e.	Gestión de Derechos de Autor sobre Interpretaciones y Ejecuciones Digitales (WebCasting). Para evitar toda confusión, el Licenciante aclara que, cuando la obra sea un fonograma, el Licenciante se reserva el derecho exclusivo de autorizar la ejecución pública digital de la obra (por ejemplo, webcast) y de recolectar, individualmente o a través de una sociedad de gestión colectiva de derechos de autor y derechos conexos (por ejemplo, ACINPRO), las regalías por la ejecución pública digital de la obra (por ejemplo, webcast), sujeta a las disposiciones aplicables del régimen de Derecho de Autor, si esta ejecución pública digital está primordialmente dirigida a obtener una ventaja comercial o una compensación monetaria privada.

5. Representaciones, Garantías y Limitaciones de Responsabilidad.
A MENOS QUE LAS PARTES LO ACORDARAN DE OTRA FORMA POR ESCRITO, EL LICENCIANTE OFRECE LA OBRA (EN EL ESTADO EN EL QUE SE ENCUENTRA) “TAL CUAL”, SIN BRINDAR GARANTÍAS DE CLASE ALGUNA RESPECTO DE LA OBRA, YA SEA EXPRESA, IMPLÍCITA, LEGAL O CUALQUIERA OTRA, INCLUYENDO, SIN LIMITARSE A ELLAS, GARANTÍAS DE TITULARIDAD, COMERCIABILIDAD, ADAPTABILIDAD O ADECUACIÓN A PROPÓSITO DETERMINADO, AUSENCIA DE INFRACCIÓN, DE AUSENCIA DE DEFECTOS LATENTES O DE OTRO TIPO, O LA PRESENCIA O AUSENCIA DE ERRORES, SEAN O NO DESCUBRIBLES (PUEDAN O NO SER ESTOS DESCUBIERTOS). ALGUNAS JURISDICCIONES NO PERMITEN LA EXCLUSIÓN DE GARANTÍAS IMPLÍCITAS, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

6. Limitación de responsabilidad.
A MENOS QUE LO EXIJA EXPRESAMENTE LA LEY APLICABLE, EL LICENCIANTE NO SERÁ RESPONSABLE ANTE USTED POR DAÑO ALGUNO, SEA POR RESPONSABILIDAD EXTRACONTRACTUAL, PRECONTRACTUAL O CONTRACTUAL, OBJETIVA O SUBJETIVA, SE TRATE DE DAÑOS MORALES O PATRIMONIALES, DIRECTOS O INDIRECTOS, PREVISTOS O IMPREVISTOS PRODUCIDOS POR EL USO DE ESTA LICENCIA O DE LA OBRA, AUN CUANDO EL LICENCIANTE HAYA SIDO ADVERTIDO DE LA POSIBILIDAD DE DICHOS DAÑOS. ALGUNAS LEYES NO PERMITEN LA EXCLUSIÓN DE CIERTA RESPONSABILIDAD, EN CUYO CASO ESTA EXCLUSIÓN PUEDE NO APLICARSE A USTED.

7. Término.

a.	Esta Licencia y los derechos otorgados en virtud de ella terminarán automáticamente si Usted infringe alguna condición establecida en ella. Sin embargo, los individuos o entidades que han recibido Obras Derivadas o Colectivas de Usted de conformidad con esta Licencia, no verán terminadas sus licencias, siempre que estos individuos o entidades sigan cumpliendo íntegramente las condiciones de estas licencias. Las Secciones 1, 2, 5, 6, 7, y 8 subsistirán a cualquier terminación de esta Licencia.

b.	Sujeta a las condiciones y términos anteriores, la licencia otorgada aquí es perpetua (durante el período de vigencia de los derechos de autor de la obra). No obstante lo anterior, el Licenciante se reserva el derecho a publicar y/o estrenar la Obra bajo condiciones de licencia diferentes o a dejar de distribuirla en los términos de esta Licencia en cualquier momento; en el entendido, sin embargo, que esa elección no servirá para revocar esta licencia o que deba ser otorgada , bajo los términos de esta licencia), y esta licencia continuará en pleno vigor y efecto a menos que sea terminada como se expresa atrás. La Licencia revocada continuará siendo plenamente vigente y efectiva si no se le da término en las condiciones indicadas anteriormente.

8. Varios.

a.	Cada vez que Usted distribuya o ponga a disposición pública la Obra o una Obra Colectiva, el Licenciante ofrecerá al destinatario una licencia en los mismos términos y condiciones que la licencia otorgada a Usted bajo esta Licencia.

b.	Si alguna disposición de esta Licencia resulta invalidada o no exigible, según la legislación vigente, esto no afectará ni la validez ni la aplicabilidad del resto de condiciones de esta Licencia y, sin acción adicional por parte de los sujetos de este acuerdo, aquélla se entenderá reformada lo mínimo necesario para hacer que dicha disposición sea válida y exigible.

c.	Ningún término o disposición de esta Licencia se estimará renunciada y ninguna violación de ella será consentida a menos que esa renuncia o consentimiento sea otorgado por escrito y firmado por la parte que renuncie o consienta.

d.	Esta Licencia refleja el acuerdo pleno entre las partes respecto a la Obra aquí licenciada. No hay arreglos, acuerdos o declaraciones respecto a la Obra que no estén especificados en este documento. El Licenciante no se verá limitado por ninguna disposición adicional que pueda surgir en alguna comunicación emanada de Usted. Esta Licencia no puede ser modificada sin el consentimiento mutuo por escrito del Licenciante y Usted.
 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