Production sequencing in a flow shop system using optimization and heuristic algorithms
The purpose of the research was to determine the sequencing of the production of n jobs in m operations in a small footwear company in an environment of flow shop machine characteristics, which optimizes the total time of completion of the job in the production system (Makespan). We used heuristic a...
- Autores:
-
Caicedo-Rolón, Alvaro Jr
Parra LLanos, John Wilmer
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2021
- Institución:
- Universidad Francisco de Paula Santander
- Repositorio:
- Repositorio Digital UFPS
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.ufps.edu.co:ufps/957
- Acceso en línea:
- http://repositorio.ufps.edu.co/handle/ufps/957
https://doi.org/10.1590/1806-9649.2020v28e3886
- Palabra clave:
- Flow shop
Heuristics
Operations research
Optimization
Integer linear programming
Production sequencing.
Heurística
Pesquisa operacional
Otimização
Programação linear inteira
Sequenciamento da produção
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
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Production sequencing in a flow shop system using optimization and heuristic algorithms |
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Sequenciamento da produção num sistema flow shop utilizando algoritmos heurísticos e de otimização |
| title |
Production sequencing in a flow shop system using optimization and heuristic algorithms |
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Production sequencing in a flow shop system using optimization and heuristic algorithms Flow shop Heuristics Operations research Optimization Integer linear programming Production sequencing. Heurística Pesquisa operacional Otimização Programação linear inteira Sequenciamento da produção |
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Production sequencing in a flow shop system using optimization and heuristic algorithms |
| title_full |
Production sequencing in a flow shop system using optimization and heuristic algorithms |
| title_fullStr |
Production sequencing in a flow shop system using optimization and heuristic algorithms |
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Production sequencing in a flow shop system using optimization and heuristic algorithms |
| title_sort |
Production sequencing in a flow shop system using optimization and heuristic algorithms |
| dc.creator.fl_str_mv |
Caicedo-Rolón, Alvaro Jr Parra LLanos, John Wilmer |
| dc.contributor.author.none.fl_str_mv |
Caicedo-Rolón, Alvaro Jr Parra LLanos, John Wilmer |
| dc.subject.proposal.eng.fl_str_mv |
Flow shop Heuristics Operations research Optimization Integer linear programming Production sequencing. |
| topic |
Flow shop Heuristics Operations research Optimization Integer linear programming Production sequencing. Heurística Pesquisa operacional Otimização Programação linear inteira Sequenciamento da produção |
| dc.subject.proposal.por.fl_str_mv |
Heurística Pesquisa operacional Otimização Programação linear inteira Sequenciamento da produção |
| description |
The purpose of the research was to determine the sequencing of the production of n jobs in m operations in a small footwear company in an environment of flow shop machine characteristics, which optimizes the total time of completion of the job in the production system (Makespan). We used heuristic algorithms that were applied through Lekin and WinQSB softwares, and for the optimization algorithm we designed a mathematical model that was solved by Juliabox software. Results show that the integer linear programming and local search minimize the makespan with 3807 minutes, and different production sequences for each algorithm, which consider permutation, which improves the traditional way of programming the production in 97 minutes, however, the optimization presents better results in the performance measures of average waiting time, average time of flow, and average job in process. Application of heuristic algorithms proves to be simple and fast, but the mathematical model of optimization designed and encoded in the software is a flexible and valuable tool for decision making in production programming, which could be applied in other footwear companies, and in other productive sectors whose companies have the same characteristics of the case study, reducing costs and improving delivery times. |
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2021 |
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2021-11-13T17:12:31Z |
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2021-11-13T17:12:31Z |
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2021-03-31 |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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https://doi.org/10.1590/1806-9649.2020v28e3886 |
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eng |
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eng |
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Gestao e Producao |
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Vol.28 No.1.(2021) |
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21 |
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1 (2021) |
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Caicedo-Rolón, A. J., & Parra Llanos, J. W. (2021). Production sequencing in a flow shop system using optimization and heuristic algorithms. Gestão & Produção, 28(1), e3886. https://doi.org/10.1590/1806-9649.2020v28e3886 |
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Atribución 4.0 Internacional (CC BY 4.0) |
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openAccess |
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Atribución 4.0 Internacional (CC BY 4.0) http://purl.org/coar/access_right/c_abf2 |
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Gestao e Producao |
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Caicedo-Rolón, Alvaro Jrf0c2aad81e6482336e18351dd1a9d304600Parra LLanos, John Wilmer71c25954e9b94ea54af9ebf0502af0aa6002021-11-13T17:12:31Z2021-11-13T17:12:31Z2021-03-31http://repositorio.ufps.edu.co/handle/ufps/957https://doi.org/10.1590/1806-9649.2020v28e3886The purpose of the research was to determine the sequencing of the production of n jobs in m operations in a small footwear company in an environment of flow shop machine characteristics, which optimizes the total time of completion of the job in the production system (Makespan). We used heuristic algorithms that were applied through Lekin and WinQSB softwares, and for the optimization algorithm we designed a mathematical model that was solved by Juliabox software. Results show that the integer linear programming and local search minimize the makespan with 3807 minutes, and different production sequences for each algorithm, which consider permutation, which improves the traditional way of programming the production in 97 minutes, however, the optimization presents better results in the performance measures of average waiting time, average time of flow, and average job in process. Application of heuristic algorithms proves to be simple and fast, but the mathematical model of optimization designed and encoded in the software is a flexible and valuable tool for decision making in production programming, which could be applied in other footwear companies, and in other productive sectors whose companies have the same characteristics of the case study, reducing costs and improving delivery times.O propósito da pesquisa foi determinar o sequenciamento da produção de n trabalhos em m operações em uma empresa de calçado de pequeno porte com características de um sistema de máquinas flow shop, que otimize o tempo total de conclusão dos trabalhos no sistema de produção (makespan). Se utilizaram algoritmos heurísticos que foram aplicados por meio dos softwares Lekin e WinQSB, e para o algoritmo de optimização se design um modelo matemático que foi resolvido pelo software Juliabox. Os resultados evidenciam que a programação linear inteira e local search minimizam o makespan com 3807 minutos, e sequências de produção diferente para cada algoritmo, que consideram a permutação, o que melhoram a maneira tradicional de programar a produção em 97 minutos, no entanto, a otimização tem melhores resultados em medidas de desempenho do tempo médio de espera, tempo médio de fluxo e trabalho médio em processo. Se destaca o simples e rápido da aplicação dos algoritmos heurísticos, mas o modelo matemático de optimização desenvolvido e codificado no software se constitui em uma ferramenta flexível e valiosa para a toma de decisões na programação da produção, que pode ser aplicado em outras empresas de calçado e outros sectores produtivos cujas empresas têm as mesmas características do estudo de caso, impactando na melhoria dos custos e prazos de entrega.application/pdfengGestao e ProducaoBrasilia,BrasilGestao e ProducaoVol.28 No.1.(2021)211 (2021)128Caicedo-Rolón, A. J., & Parra Llanos, J. W. (2021). Production sequencing in a flow shop system using optimization and heuristic algorithms. Gestão & Produção, 28(1), e3886. https://doi.org/10.1590/1806-9649.2020v28e3886Gestao e ProducaoThis is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly citedinfo:eu-repo/semantics/openAccessAtribución 4.0 Internacional (CC BY 4.0)http://purl.org/coar/access_right/c_abf2https://www.scielo.br/j/gp/a/VYCXQBBfsR4z9r9zwtBNtzk/?lang=enProduction sequencing in a flow shop system using optimization and heuristic algorithmsSequenciamento da produção num sistema flow shop utilizando algoritmos heurísticos e de otimizaçãoArtículo 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/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Flow shopHeuristicsOperations researchOptimizationInteger linear programmingProduction sequencing.HeurísticaPesquisa operacionalOtimizaçãoProgramação linear inteiraSequenciamento da produçãoAsociación Colombiana de Industriales del Calzado, el Cuero y sus Manufacturas – ACICAM. (2017). La industria del calzado y marroquinería cerro el 2016 en terreno positivo. Retrieved in 2017, February 15, from https://www.acicam.org/la-industria-del-calzado-y-marroquineria-cerro-el-2016-en-terreno-positivo » https://www.acicam.org/la-industria-del-calzado-y-marroquineria-cerro-el-2016-en-terreno-positivoBaker, K., & Trietsch, D. (2009). Principles of sequencing and scheduling New Jersey: John Wiley & Sons. http://dx.doi.org/10.1002/9780470451793 » http://dx.doi.org/10.1002/9780470451793Ballesteros, P., Ballesteros, D., & Bravo, J. (2013). Aplicación de una heurística constructiva en programación secuencial para asignación de varios trabajos a varias máquinas en paralelo. Sciences et Techniques, 18(1), 120-125. http://dx.doi.org/10.22517/23447214.8339 » http://dx.doi.org/10.22517/23447214.8339Bezanson, J., Karpinski, S., Shah, V. B., & Edelman, A. (2012). Julia: a fast dynamic language for technical computing. arXiv, 1209.5145, 2-27.Buzzo, W., & Moccellin, J. (2000). 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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(2), 72-79. Retrieved in 2017, February 15, from http://www.redalyc.org/pdf/643/64328211.pdf » http://www.redalyc.org/pdf/643/64328211.pdfGupta, J., & Stafford, E. Jr. (2006). Flowshop scheduling research after five decades. European Journal of Operational Research, 169(3), 699-711. http://dx.doi.org/10.1016/j.ejor.2005.02.001 » http://dx.doi.org/10.1016/j.ejor.2005.02.001Habib, A., Jilcha, K., & Berhan, E. (2015). Performance improvement by scheduling techniques: a case of Leather Industry Development Institute. In Afro-European Conference for Industrial Advancement (pp. 261-269). Addis Ababa: Springer International Publishing. http://dx.doi.org/10.1007/978-3-319-13572-4_21 » http://dx.doi.org/10.1007/978-3-319-13572-4_21Herrmann, J. (2007). The legacy of Taylor, Gantt, and Johnson: how to improve production scheduling. College Park: Institute for Systems Research, University of Maryland. Retrieved in 2017, February 27, from http://drum.lib.umd.edu/handle/1903/7488 » http://drum.lib.umd.edu/handle/1903/7488Jain, A., & Meeran, S. (1998). A state-of-the-art review of job-shop scheduling techniques (pp. 1-48, Technical report). Dundee: Department of Applied Physics, Electronic and Mechanical Engineering, University of Dundee. Retrieved in 2017, February 29, from http://ftp.bstu.by/ai/To-dom/My_research/Paper-0-again/For-courses/Job-SSP/jain.pdf » http://ftp.bstu.by/ai/To-dom/My_research/Paper-0-again/For-courses/Job-SSP/jain.pdfKrajewski, L. J., Ritzman, L. P., & Malhotra, M. K. (2008). Administración de operaciones procesos y cadenas de valor (8. ed.). México: Pearson Education.Landmann, R., & Erdmann, R. (2011). Uma abordagem heurística para a programação da produção na indústria de fundição com utilização da lógica fuzzy. 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Said (Ed.), Diálogos y desafíos euro-latinoamericanos: ensayos sobre cooperación, derecho, educación y comunicación (pp. 328-346). Barranquilla: Editorial Universidad del Norte.Sepúlveda, J. P., & Berroeta, C. (2012). Reglas de decisión para la selección de sistemas de citas basadas en características del paciente y de la institución de salud. Revista Medica de Chile, 140(7), 867-872. http://dx.doi.org/10.4067/S0034-98872012000700006 PMid:23282698. » http://dx.doi.org/10.4067/S0034-98872012000700006Sipper, D., & Bulfin, R. (1998). Planeación y control de la producción (1. ed.). México: McGraw-Hill.Taha, H. A. (2012). Investigación de operaciones (8. ed.). México: Pearson Education.Zhao, H., & Kong, F. (2016). Research and applications of shop scheduling based on genetic algorithms. Brazilian Archives of Biology and Technology, 59(spe), 1-7. http://dx.doi.org/10.1590/1678-4324-2016160545 » http://dx.doi.org/10.1590/1678-4324-2016160545ORIGINALProduction sequencing in a flow shop system using optimization and heuristic algorithms.pdfProduction sequencing in a flow shop system using optimization and heuristic algorithms.pdfapplication/pdf1401181https://repositorio.ufps.edu.co/bitstream/ufps/957/1/Production%20sequencing%20in%20a%20flow%20shop%20system%20using%20optimization%20and%20heuristic%20algorithms.pdf9209b1296388fea46a32acf3d608b12eMD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.ufps.edu.co/bitstream/ufps/957/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessTEXTProduction sequencing in a flow shop system using optimization and heuristic algorithms.pdf.txtProduction sequencing in a flow shop system using optimization and heuristic algorithms.pdf.txtExtracted 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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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