Mathematical model for quay crane assignment problem with tidal constraints
Objetive— The operations associated with loading and unloading of container ships demand the use of quay cranes that represent one of the most expensive resources of a maritime terminal. Therefore, the assignment of cranes to ships must be optimized. This article proposes a mathematical model to opt...
- Autores:
-
Vargas Acuña, Leidy Carolina
Vidales Vélez, Cristhian
Molina Agudelo, Jhon Edward
Bravo Bastidas, Juan José
ARANGO PASTRANA, CARLOS ALBERTO
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2021
- Institución:
- Corporación Universidad de la Costa
- Repositorio:
- REDICUC - Repositorio CUC
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cuc.edu.co:11323/10303
- Acceso en línea:
- https://hdl.handle.net/11323/10303
https://repositorio.cuc.edu.co/
- Palabra clave:
- Tides
Quay assignment
Mixed integer programming
Container terminal
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)
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Mathematical model for quay crane assignment problem with tidal constraints |
| dc.title.translated.none.fl_str_mv |
Modelo matemático para la asignación de grúas pórtico a buques considerando el efecto de las mareas |
| title |
Mathematical model for quay crane assignment problem with tidal constraints |
| spellingShingle |
Mathematical model for quay crane assignment problem with tidal constraints Tides Quay assignment Mixed integer programming Container terminal |
| title_short |
Mathematical model for quay crane assignment problem with tidal constraints |
| title_full |
Mathematical model for quay crane assignment problem with tidal constraints |
| title_fullStr |
Mathematical model for quay crane assignment problem with tidal constraints |
| title_full_unstemmed |
Mathematical model for quay crane assignment problem with tidal constraints |
| title_sort |
Mathematical model for quay crane assignment problem with tidal constraints |
| dc.creator.fl_str_mv |
Vargas Acuña, Leidy Carolina Vidales Vélez, Cristhian Molina Agudelo, Jhon Edward Bravo Bastidas, Juan José ARANGO PASTRANA, CARLOS ALBERTO |
| dc.contributor.author.none.fl_str_mv |
Vargas Acuña, Leidy Carolina Vidales Vélez, Cristhian Molina Agudelo, Jhon Edward Bravo Bastidas, Juan José ARANGO PASTRANA, CARLOS ALBERTO |
| dc.subject.proposal.eng.fl_str_mv |
Tides Quay assignment Mixed integer programming Container terminal |
| topic |
Tides Quay assignment Mixed integer programming Container terminal |
| description |
Objetive— The operations associated with loading and unloading of container ships demand the use of quay cranes that represent one of the most expensive resources of a maritime terminal. Therefore, the assignment of cranes to ships must be optimized. This article proposes a mathematical model to optimize the decision of assignment of cranes to ships, considering the behavior of tides, which is a not commonly considered factor in the scientific literature for similar problems. Metodology— A mixed integer linear mathematical model was designed and tested for the actual case of a container terminal in BuenaventuraColombia with satisfactory results. Results— With the available capacity the model allows to mobilize up to 2800 containers per half day, while the number of containers per ship in the real case does not exceed 2000 units. Conclusions— The consideration of tides, combined with downtime penalty cost can allow using smaller number of cranes with savings in energy cost. |
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2021 |
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2021 |
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2023-07-07T19:14:57Z |
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2023-07-07T19:14:57Z |
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C. Arango Pastrana, C. Vidales-Velez, J, Molina Agudelo, J. Bravo Bastidas & L. Vargas Acuña, “Mathematical model for quay crane assignment problem with tidal constraints”, INGECUC, vol. 17. no. 1, pp. 177–187. DOI: http://doi.org/10.17981/ ingecuc.17.1.2021.14 |
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https://hdl.handle.net/11323/10303 |
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10.17981/ ingecuc.17.1.2021.14 |
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2382-4700 |
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Corporación Universidad de la Costa |
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REDICUC - Repositorio CUC |
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https://repositorio.cuc.edu.co/ |
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C. Arango Pastrana, C. Vidales-Velez, J, Molina Agudelo, J. Bravo Bastidas & L. Vargas Acuña, “Mathematical model for quay crane assignment problem with tidal constraints”, INGECUC, vol. 17. no. 1, pp. 177–187. DOI: http://doi.org/10.17981/ ingecuc.17.1.2021.14 0122-6517 10.17981/ ingecuc.17.1.2021.14 2382-4700 Corporación Universidad de la Costa REDICUC - Repositorio CUC |
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https://hdl.handle.net/11323/10303 https://repositorio.cuc.edu.co/ |
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eng |
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INGE CUC |
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[1] R. I. Peterkofsky & C. F. Daganzo, “A branch and bound solution method for the crane scheduling problem,” Transp Res Part B-Meth, vol. 24, no. 3, pp. 159–172, Jun. 1990. https://doi.org/10.1016/0191- 2615(90)90014-P [2] A. Diabat & E. Theodorou, “An Integrated Quay Crane Assignment and Scheduling Problem,” Comput Ind Eng, vol. 73, no. 1 , pp. 115–123, Jul. 2014. https://doi.org/10.1016/j.cie.2013.12.012 [3] L. Moccia, J. F. Cordeau, M. Gaudioso & G. Laporte, “A branch-and-cut algorithm for the quay crane scheduling problem in a container terminal,” Nav Res Logist, vol. 53, no. 1, pp. 45–59, 2006. https://doi. org/10.1002/nav.20121 [4] S. H. Jung & K. H. Kim, “Load scheduling for multiple quay cranes in port container terminals,” J Intell Manuf, vol. 17, no. 4, pp. 479–492, 2006. https://doi.org/10.1007/s10845-005-0020-y [5] W. C. Ng & K. L. Mak, “Quay crane scheduling in container terminals,” Eng Optim, vol. 38, no. 6, pp. 723–737, 2006. https://doi.org/10.1080/03052150600691038 [6] K. H. Kim & Y. M. Park, “A crane scheduling method for port container terminals,” Eur J Oper Res, vol. 156, no. 3, pp. 752–768, Aug. 2004. https://doi.org/10.1016/S0377-2217(03)00133-4 [7] A. V. Goodchild & C. F. Daganzo, “Double-Cycling Strategies for Container Ships and Their Effect on Ship Loading and Unloading Operations,” Transp Sci, vol. 40, no. 4, pp. 473–483, Nov. 2006. https:// doi.org/10.1287/trsc.1060.0148 [8] A. V. Goodchild & C. F. Daganzo, “Crane double cycling in container ports: Planning methods and evaluation,” Transp Res Part B:Meth, vol. 41, no. 8, pp. 875–891, Oct. 2007. https://doi.org/10.1016/j. trb.2007.02.006 [9] H. Zhang & K. H. Kim, “Maximizing the number of dual-cycle operations of quay cranes in container terminals,” Comput Ind Eng, vol. 56, no. 3, pp. 979–992, Apr. 2009. https://doi.org/10.1016/j. cie.2008.09.008 [10] A. Lim, B. Rodrigues, F. Xiao & Y. Zhu, “Crane scheduling with spatial constraints,” Nav Res Logist, vol. 51, no. 3, pp. 386–406, 2004. https://doi.org/10.1002/nav.10123 [11] D. H. Lee, H. Q. Wang & L. Miao, “Quay crane scheduling with non-interference constraints in port container terminals,” Transp Res Part E Logist Transp Rev, vol. 44, no. 1, pp. 124–135, Jan. 2008. https://doi.org/10.1016/j.tre.2006.08.001 [12] J. He, “Berth allocation and quay crane assignment in a container terminal for the trade-off between time-saving and energy-saving,” Adv Eng Inform, vol. 30, no. 3, pp. 390–405, 2016. https://doi. org/10.1016/j.aei.2016.04.006 [13] S. Yu, S. Wang & L. Zhen, “Quay crane scheduling problem with considering tidal impact and fuel consumption,” Flex Serv Manuf J, vol. 29, pp. 345–368, Dec. 2017. https://doi.org/10.1007/s10696-016- 9248-4 [14] A. Sheikholeslami, G. Ilati & M. Kobari, “The continuous dynamic berth allocation problem at a marine container terminal with tidal constraints in the access channel,” IJCE, vol. 12, no. 3 and A, pp. 344–353, 2014. Available: http://ijce.iust.ac.ir/article-1-848-en.html [15] Y. Du, Q. Chen, J. S. L. Lam, Y. Xu & J. X. Cao, “Modeling the impacts of tides and the virtual arrival policy in berth allocation,” TRSC, vol. 49, no. 3, pp. 939–956, 2015. https://doi.org/10.1287/trsc.2014.0568 [16] D. Xu, C.L. Li & J.Y.T. Leung, “Berth allocation with time-dependent physical limitations on vessels,” Eur J Oper Res, vol. 216, no. 1, pp. 47–56, Jan. 2012. https://doi.org/10.1016/j.ejor.2011.07.012 [17] O. Doerr & R. J. Sanchez, “Indicadores de productividad para la industria portuaria. Aplicable en América Latina y el Caribe,” CEPAL, SFGO, CL: ONU, pp. 1–76, 2006. Available: https://www.oas.org/cip/ docs/areas_tecnicas/6_exelencia_gestion_port/3_ind_de_produc.pdf |
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Derechos de autor 2021 INGE CUC |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0) |
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Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)Derechos de autor 2021 INGE CUChttps://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vargas Acuña, Leidy CarolinaVidales Vélez, CristhianMolina Agudelo, Jhon EdwardBravo Bastidas, Juan JoséARANGO PASTRANA, CARLOS ALBERTO2023-07-07T19:14:57Z2023-07-07T19:14:57Z2021C. Arango Pastrana, C. Vidales-Velez, J, Molina Agudelo, J. Bravo Bastidas & L. Vargas Acuña, “Mathematical model for quay crane assignment problem with tidal constraints”, INGECUC, vol. 17. no. 1, pp. 177–187. DOI: http://doi.org/10.17981/ ingecuc.17.1.2021.140122-6517https://hdl.handle.net/11323/1030310.17981/ ingecuc.17.1.2021.142382-4700Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/Objetive— The operations associated with loading and unloading of container ships demand the use of quay cranes that represent one of the most expensive resources of a maritime terminal. Therefore, the assignment of cranes to ships must be optimized. This article proposes a mathematical model to optimize the decision of assignment of cranes to ships, considering the behavior of tides, which is a not commonly considered factor in the scientific literature for similar problems. Metodology— A mixed integer linear mathematical model was designed and tested for the actual case of a container terminal in BuenaventuraColombia with satisfactory results. Results— With the available capacity the model allows to mobilize up to 2800 containers per half day, while the number of containers per ship in the real case does not exceed 2000 units. Conclusions— The consideration of tides, combined with downtime penalty cost can allow using smaller number of cranes with savings in energy cost.Objetivo— Las operaciones asociadas con la carga y descarga de buques portacontenedores exigen el uso de grúas de muelle que representan uno de los recursos más caros de una terminal marítima. Por lo tanto, la asignación de grúas a barcos debe optimizarse. Este artículo propone un modelo matemático para optimizar la decisión de asignación de grúas a barcos, considerando el comportamiento de las mareas, que no es un factor comúnmente considerado en la literatura científica para problemas similares. Metodología— Se diseñó y probó un modelo matemático lineal entero mixto para el caso real de una terminal d e contenedores en Buenaventura-Colombia con resultados satisfactorios. Resultados— con la capacidad disponible, el modelo permite movilizar hasta 2800 contenedores por medio día, mientras que el número de contenedores por barco en el caso real no supera las 2000 unidades. Conclusiones— La consideración de las mareas, combinada con el costo de penalización por tiempo de inactividad puede permitir el uso de un menor número de grúas con ahorros en el costo de energía.11 páginasapplication/pdfengCorporación Universidad de la CostaColombiahttps://revistascientificas.cuc.edu.co/ingecuc/article/view/2654Mathematical model for quay crane assignment problem with tidal constraintsModelo matemático para la asignación de grúas pórtico a buques considerando el efecto de las mareasArtículo 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_970fb48d4fbd8a85INGE CUC[1] R. I. Peterkofsky & C. F. Daganzo, “A branch and bound solution method for the crane scheduling problem,” Transp Res Part B-Meth, vol. 24, no. 3, pp. 159–172, Jun. 1990. https://doi.org/10.1016/0191- 2615(90)90014-P[2] A. Diabat & E. Theodorou, “An Integrated Quay Crane Assignment and Scheduling Problem,” Comput Ind Eng, vol. 73, no. 1 , pp. 115–123, Jul. 2014. https://doi.org/10.1016/j.cie.2013.12.012[3] L. Moccia, J. F. Cordeau, M. Gaudioso & G. Laporte, “A branch-and-cut algorithm for the quay crane scheduling problem in a container terminal,” Nav Res Logist, vol. 53, no. 1, pp. 45–59, 2006. https://doi. org/10.1002/nav.20121[4] S. H. Jung & K. H. Kim, “Load scheduling for multiple quay cranes in port container terminals,” J Intell Manuf, vol. 17, no. 4, pp. 479–492, 2006. https://doi.org/10.1007/s10845-005-0020-y[5] W. C. Ng & K. L. Mak, “Quay crane scheduling in container terminals,” Eng Optim, vol. 38, no. 6, pp. 723–737, 2006. https://doi.org/10.1080/03052150600691038[6] K. H. Kim & Y. M. Park, “A crane scheduling method for port container terminals,” Eur J Oper Res, vol. 156, no. 3, pp. 752–768, Aug. 2004. https://doi.org/10.1016/S0377-2217(03)00133-4[7] A. V. Goodchild & C. F. Daganzo, “Double-Cycling Strategies for Container Ships and Their Effect on Ship Loading and Unloading Operations,” Transp Sci, vol. 40, no. 4, pp. 473–483, Nov. 2006. https:// doi.org/10.1287/trsc.1060.0148[8] A. V. Goodchild & C. F. Daganzo, “Crane double cycling in container ports: Planning methods and evaluation,” Transp Res Part B:Meth, vol. 41, no. 8, pp. 875–891, Oct. 2007. https://doi.org/10.1016/j. trb.2007.02.006[9] H. Zhang & K. H. Kim, “Maximizing the number of dual-cycle operations of quay cranes in container terminals,” Comput Ind Eng, vol. 56, no. 3, pp. 979–992, Apr. 2009. https://doi.org/10.1016/j. cie.2008.09.008[10] A. Lim, B. Rodrigues, F. Xiao & Y. Zhu, “Crane scheduling with spatial constraints,” Nav Res Logist, vol. 51, no. 3, pp. 386–406, 2004. https://doi.org/10.1002/nav.10123[11] D. H. Lee, H. Q. Wang & L. Miao, “Quay crane scheduling with non-interference constraints in port container terminals,” Transp Res Part E Logist Transp Rev, vol. 44, no. 1, pp. 124–135, Jan. 2008. https://doi.org/10.1016/j.tre.2006.08.001[12] J. He, “Berth allocation and quay crane assignment in a container terminal for the trade-off between time-saving and energy-saving,” Adv Eng Inform, vol. 30, no. 3, pp. 390–405, 2016. https://doi. org/10.1016/j.aei.2016.04.006[13] S. Yu, S. Wang & L. Zhen, “Quay crane scheduling problem with considering tidal impact and fuel consumption,” Flex Serv Manuf J, vol. 29, pp. 345–368, Dec. 2017. https://doi.org/10.1007/s10696-016- 9248-4[14] A. Sheikholeslami, G. Ilati & M. Kobari, “The continuous dynamic berth allocation problem at a marine container terminal with tidal constraints in the access channel,” IJCE, vol. 12, no. 3 and A, pp. 344–353, 2014. Available: http://ijce.iust.ac.ir/article-1-848-en.html[15] Y. Du, Q. Chen, J. S. L. Lam, Y. Xu & J. X. Cao, “Modeling the impacts of tides and the virtual arrival policy in berth allocation,” TRSC, vol. 49, no. 3, pp. 939–956, 2015. https://doi.org/10.1287/trsc.2014.0568[16] D. Xu, C.L. Li & J.Y.T. Leung, “Berth allocation with time-dependent physical limitations on vessels,” Eur J Oper Res, vol. 216, no. 1, pp. 47–56, Jan. 2012. https://doi.org/10.1016/j.ejor.2011.07.012[17] O. Doerr & R. J. Sanchez, “Indicadores de productividad para la industria portuaria. Aplicable en América Latina y el Caribe,” CEPAL, SFGO, CL: ONU, pp. 1–76, 2006. Available: https://www.oas.org/cip/ docs/areas_tecnicas/6_exelencia_gestion_port/3_ind_de_produc.pdf187177117TidesQuay assignmentMixed integer programmingContainer terminalPublicationORIGINALMathematical model for quay crane assignment problem with tidal constraints.pdfMathematical model for quay crane assignment problem with tidal constraints.pdfArtículoapplication/pdf747755https://repositorio.cuc.edu.co/bitstreams/6be84774-2763-4d72-b05a-40adbbff8c7b/download982a3513bbb1dfc461d3e96608c74ad3MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstreams/8076fb05-94f8-4d9c-bb6f-d962af74cb40/download2f9959eaf5b71fae44bbf9ec84150c7aMD52TEXTMathematical model for quay crane assignment problem with tidal constraints.pdf.txtMathematical model for quay crane assignment problem with tidal constraints.pdf.txtExtracted 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ada 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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