Mathematical programming modeling and resolution of the location-routing problem in urban logistics

The implementation of urban distribution centers near to city centers to allow freight consolidation is a widely extended initiative worldwide, seeking to improve traffic congestion and quality of life in downtown, among others. This paper considers the problem of locating urban distribution centers...

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Autores:
Muñoz Villamizar, Andrés Felipe
Montoya Torres, Jairo Rafael
Herazo Padilla, Nilson Sebastian
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/4198
Acceso en línea:
https://hdl.handle.net/11323/4198
https://repositorio.cuc.edu.co/
Palabra clave:
Decision levels
Freight consolidation
Traffic
Urban distribution centers
Niveles de decisión
Consolidación de la carga
Tráfico
Centros de distribución urbana
Rights
openAccess
License
Attribution-NonCommercial-ShareAlike 4.0 International
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repository_id_str
dc.title.spa.fl_str_mv Mathematical programming modeling and resolution of the location-routing problem in urban logistics
dc.title.translated.spa.fl_str_mv Modelado matemático de la programación y resolución del problema de ubicación de rutas en logística urbana.
title Mathematical programming modeling and resolution of the location-routing problem in urban logistics
spellingShingle Mathematical programming modeling and resolution of the location-routing problem in urban logistics
Decision levels
Freight consolidation
Traffic
Urban distribution centers
Niveles de decisión
Consolidación de la carga
Tráfico
Centros de distribución urbana
title_short Mathematical programming modeling and resolution of the location-routing problem in urban logistics
title_full Mathematical programming modeling and resolution of the location-routing problem in urban logistics
title_fullStr Mathematical programming modeling and resolution of the location-routing problem in urban logistics
title_full_unstemmed Mathematical programming modeling and resolution of the location-routing problem in urban logistics
title_sort Mathematical programming modeling and resolution of the location-routing problem in urban logistics
dc.creator.fl_str_mv Muñoz Villamizar, Andrés Felipe
Montoya Torres, Jairo Rafael
Herazo Padilla, Nilson Sebastian
dc.contributor.author.spa.fl_str_mv Muñoz Villamizar, Andrés Felipe
Montoya Torres, Jairo Rafael
Herazo Padilla, Nilson Sebastian
dc.subject.spa.fl_str_mv Decision levels
Freight consolidation
Traffic
Urban distribution centers
Niveles de decisión
Consolidación de la carga
Tráfico
Centros de distribución urbana
topic Decision levels
Freight consolidation
Traffic
Urban distribution centers
Niveles de decisión
Consolidación de la carga
Tráfico
Centros de distribución urbana
description The implementation of urban distribution centers near to city centers to allow freight consolidation is a widely extended initiative worldwide, seeking to improve traffic congestion and quality of life in downtown, among others. This paper considers the problem of locating urban distribution centers and proposes an exact method, based on integer linear programming for strategic, tactical and operational decision-making. The aim is to solve, in an integer manner, location, sizing and operation (vehicle routing) problems in these logistics platforms. The model is validated using real-data taken from the city of SaintÉtienne, France. Computational experiments are also carried out in order to compare the proposed model with existing procedures from the literature. Results show the efficiency and effectiveness of the proposed model and its applicability in real decision-making for medium sized data sets.
publishDate 2014
dc.date.issued.none.fl_str_mv 2014-07
dc.date.accessioned.none.fl_str_mv 2019-05-17T14:50:03Z
dc.date.available.none.fl_str_mv 2019-05-17T14:50:03Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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dc.identifier.issn.spa.fl_str_mv 01232126
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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/
identifier_str_mv 01232126
Corporación Universidad de la Costa
REDICUC - Repositorio CUC
url https://hdl.handle.net/11323/4198
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dc.language.iso.none.fl_str_mv eng
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dc.relation.references.spa.fl_str_mv AMBROSINO, D. and SCUTELLA, M.G. Distribution network design: New problems and related models. European Journal of Operational Research. 2005, vol. 165, no. 3, pp. 610–624 AVERBAKH, I. and BERMAN, O. Probabilistic sales-delivery man and sales-delivery facility location problems on a tree. Transportation Science. 1995, vol. 29, no. 2, pp. 184–197. AVERBAKH, I. and BERMAN, O. Routing and location-routing p-delivery men problems on a path. Transportation Science. 1994, vol. 28, no. 2, pp. 184–197. AVERBAKH, I.; BERMAN, O. Minmax p-traveling salesmen location problems on a tree. Annals of Operations Research. 2002, vol. 110, no. 1-4, pp. 55–62. AVERBAKH, I.; BERMAN, O. and SIMCHI-LEVI, D. Probabilistic a priori routing-location problems. Naval Research Logistics. 1994, vol. 41, no. 7, pp. 973–989. BALAKRISHNAN, A.; WARD, J.E. and WONG, R.T. Integrated facility location and vehicle routing models: recent work and future prospects. American Journal of Mathematical and Management Sciences. 1987, vol. 7, no. 1-2, pp. 35–61. BARCELÓ, J.; GRZYBOWSKA, H. and PARDO, S. Vehicle routing and scheduling models, simulation and city logistics. Dynamic Fleet Management. 2007, vol. 38, pp. 163–195. BERMAN, O.; JAILLET, P. and SIMCHI-LEVI, D. Location-routing problems with uncertainty. In: Drezner, Z. (Ed.). Facility location: a survey of applications and methods. New York, New York: Springer, 1995, pp. 427–452. BOOKBINDER, J.H. and REECE, K.E. Vehicle routing considerations in distribution system design. European Journal of Operational Research. 1988, vol. 37, no. 2, pp. 204–213. BRANCO, I.M. and COELHO, J.D. The Hamiltonian p-median problem. European Journal of Operational Research. 1990, vol. 47, no. 1, pp. 86–95. GUYON, O.; ABSI, N.; FEILLET, D. and GARAIX, T. A modeling approach for locating logistics platforms for fast parcel delivery in urban areas. Procedia - Social and Behavioral Sciences. 2012, vol. 39, pp. 360–368. HERAZO-PADILLA, N.; NIETO ISAZA, S.; MONTOYA-TORRES, J.R.; RAMIREZ POLO, L.; MUÑOZ-VILLAMIZAR, A. Coupling ant colony optimisation and discrete-event simulation to solve a stochastic location-routing problem. Proceedings of the 2013 Winter Simulation Conference, 2013, pp. 3352-3362. JAMIL, M.; BATTA, R. and MALON, D.M. The traveling repairperson home base location problem. Transportation Science. 1994, vol. 28, no. 2, pp. 150–161. KORIATH, H. and THETRICH, W. Urban goods transport: COST 321 – Final Report of the action. Bruxelles: Office of the Official Publications of the European Community, 1998. LAPORTE, G. A survey of algorithms for location-routing problems. Investigación Operativa. 1989, vol. 1, pp. 93–123. LAPORTE, G. Location-routing problems. In: Vehicle Routing: Methods and Studies. Amsterdam: North-Holland, 1988, pp. 163–198. LAPORTE, G. and NOBERT, Y. An exact algorithm for minimizing routing and operating costs in depot location. European Journal of Operational Research. 1981, vol. 6, no. 2, pp. 224–22 LAPORTE, G.; NOBERT, Y. and PELLETIER, P. Hamiltonian location problems. European Journal of Operational Research. 1983, vol. 12, no. 1, pp. 82–89. LIGOCKI, C. and ZONN, L.E. Parking problems in central business districts. Cities. 1984, vol. 1, no. 4, pp. 350-355. LIN, C.K.Y.; CHOW, C.K. and CHEN, A. A location-routing loading problem for bill delivery services. Computers & Industrial Engineering. 2002, vol. 43, no. 1-2, pp. 5–25. MIN, H.; JAYARAMAN, V. and SRIVASTAVA, R. Combined location-routing problems: a synthesis and future research directions. European Journal of Operational Research. 1998, vol. 108, no. 1, pp. 1–15. MONTOYA-TORRES, J.R.; MARQUES, G. and BURLAT, P. A conceptual framework for location, sizing and operation of urban distribution centers with sustainable performance metrics. Proceedings of the 4th International Conference on Information Systems, Logistics and Supply Chain (ILS 2012), Quebec, Canada, August 26-29, 2012. CD-ROM. MOSHEIOV, G. The pickup delivery location problem on networks. Networks, 1995, vol. 26, no. 4, pp. 243–251. MUÑOZ-VILLAMIZAR, A.; MONTOYA-TORRES, J.R.; JUAN, A.A.; CÁCERES-CRUZ, J. A simulation-based algorithm for the integrated location and routing problem in urban logistics. Proceedings of the 2013 Winter Simulation Conference, 2013, pp. 2032-2041. NAGY, G. and SALHI, S. Location-routing: Issues, models and methods. European Journal of Operational Research. 2007, vol. 177, no. 2, pp. 649–672. NEMOTO, T. Area-wide inter-carrier consolidation of freight in urban areas. Transport Logistics. 1997, vol. 1, no. 2, pp. 87-103. SALHI, S. and FRASER, M. An integrated heuristic approach for the combined location vehicle fleet mix problem. Studies in Locational Analysis. 1996, no. 8, pp. 3–21. SCHWARDT, M. and DETHLOFF, J. Solving a continuous location routing problem by use of a self-organizing map. International Journal of Physical Distribution and Logistics Management. 2005, vol. 35, no. 6, pp. 390–408. SIMCHI-LEVI, D. The capacitated traveling salesman location problem. Transportation Science. 1991, vol. 25, no. 1, pp. 9–18. TANIGUCHI, E.; NORITAKE, M.; YAMADA, T. and IZUMITANI, T. Optimal size and location planning of public logistics terminals. Transportation Research Part E. 1999, vol. 35, no. 3, pp. 207–222. TANIGUCHI, E.; THOMSON, R.G.; YAMADA, T. and VAN DUIN, R. City logistics: networks modelling and intelligent transport systems. n.e.: Pergamon, 1999. TANIGUCHI, E.; THOMPSON, R.G. and YAMADA, T. Recent advances in modelling city logistics. In: City Logistics II, n. d., 2001, pp. 3-34. TANIGUCHI, E.; YAMADA, T. and YANAGISAWA, T. Issues and views on cooperative freight trans-portation systems. 7th World Conference on Transport Research, 1995. LAPORTE, G.; NOBERT, Y. and PELLETIER, P. Hamiltonian location problems. European Journal of Operational Research. 1983, vol. 12, no. 1, pp. 82–89. LIGOCKI, C. and ZONN, L.E. Parking problems in central business districts. Cities. 1984, vol. 1, no. 4, pp. 350-355. LIN, C.K.Y.; CHOW, C.K. and CHEN, A. A location-routing loading problem for bill delivery services. Computers & Industrial Engineering. 2002, vol. 43, no. 1-2, pp. 5–25. MIN, H.; JAYARAMAN, V. and SRIVASTAVA, R. Combined location-routing problems: a synthesis and future research directions. European Journal of Operational Research. 1998, vol. 108, no. 1, pp. 1–15. MONTOYA-TORRES, J.R.; MARQUES, G. and BURLAT, P. A conceptual framework for location, sizing and operation of urban distribution centers with sustainable performance metrics. Proceedings of the 4th International Conference on Information Systems, Logistics and Supply Chain (ILS 2012), Quebec, Canada, August 26-29, 2012. CD-ROM. MOSHEIOV, G. The pickup delivery location problem on networks. Networks, 1995, vol. 26, no. 4, pp. 243–251. MUÑOZ-VILLAMIZAR, A.; MONTOYA-TORRES, J.R.; JUAN, A.A.; CÁCERES-CRUZ, J. A simulation-based algorithm for the integrated location and routing problem in urban logistics. Proceedings of the 2013 Winter Simulation Conference, 2013, pp. 2032-2041. NAGY, G. and SALHI, S. Location-routing: Issues, models and methods. European Journal of Operational Research. 2007, vol. 177, no. 2, pp. 649–672. NEMOTO, T. Area-wide inter-carrier consolidation of freight in urban areas. Transport Logistics. 1997, vol. 1, no. 2, pp. 87-103. SALHI, S. and FRASER, M. An integrated heuristic approach for the combined location vehicle fleet mix problem. Studies in Locational Analysis. 1996, no. 8, pp. 3–21. SCHWARDT, M. and DETHLOFF, J. Solving a continuous location routing problem by use of a self-organizing map. International Journal of Physical Distribution and Logistics Management. 2005, vol. 35, no. 6, pp. 390–408. SIMCHI-LEVI, D. The capacitated traveling salesman location problem. Transportation Science. 1991, vol. 25, no. 1, pp. 9–18. TANIGUCHI, E.; NORITAKE, M.; YAMADA, T. and IZUMITANI, T. Optimal size and location planning of public logistics terminals. Transportation Research Part E. 1999, vol. 35, no. 3, pp. 207–222. TANIGUCHI, E.; THOMSON, R.G.; YAMADA, T. and VAN DUIN, R. City logistics: networks modelling and intelligent transport systems. n.e.: Pergamon, 1999. TANIGUCHI, E.; THOMPSON, R.G. and YAMADA, T. Recent advances in modelling city logistics. In: City Logistics II, n. d., 2001, pp. 3-34. TANIGUCHI, E.; YAMADA, T. and YANAGISAWA, T. Issues and views on cooperative freight trans-portation systems. 7th World Conference on Transport Research, 1995.
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spelling Muñoz Villamizar, Andrés FelipeMontoya Torres, Jairo RafaelHerazo Padilla, Nilson Sebastian2019-05-17T14:50:03Z2019-05-17T14:50:03Z2014-0701232126https://hdl.handle.net/11323/4198Corporación Universidad de la CostaREDICUC - Repositorio CUChttps://repositorio.cuc.edu.co/The implementation of urban distribution centers near to city centers to allow freight consolidation is a widely extended initiative worldwide, seeking to improve traffic congestion and quality of life in downtown, among others. This paper considers the problem of locating urban distribution centers and proposes an exact method, based on integer linear programming for strategic, tactical and operational decision-making. The aim is to solve, in an integer manner, location, sizing and operation (vehicle routing) problems in these logistics platforms. The model is validated using real-data taken from the city of SaintÉtienne, France. Computational experiments are also carried out in order to compare the proposed model with existing procedures from the literature. Results show the efficiency and effectiveness of the proposed model and its applicability in real decision-making for medium sized data sets.La implementación de centros de distribución urbana cercanos a centros urbanos para permitir la consolidación de la carga es una iniciativa ampliamente extendida en todo el mundo, que busca mejorar la congestión del tráfico y la calidad de vida en el centro de la ciudad, entre otros. Este documento considera el problema de ubicar los centros de distribución urbana y propone un método exacto, basado en la programación lineal de enteros para la toma de decisiones estratégicas, tácticas y operativas. El objetivo es resolver, de manera integral, los problemas de ubicación, tamaño y operación (enrutamiento del vehículo) en estas plataformas logísticas. El modelo se valida utilizando datos reales tomados de la ciudad de Saintienne, Francia. También se llevan a cabo experimentos computacionales para comparar el modelo propuesto con los procedimientos existentes de la literatura. Los resultados muestran la eficiencia y la eficacia del modelo propuesto y su aplicabilidad en la toma de decisiones reales para conjuntos de datos de tamaño mediano.Muñoz Villamizar, Andrés Felipe-92ceeed7-24bb-4f46-adb5-7d720d634579-0Montoya Torres, Jairo Rafael-a381decd-3052-49a0-9a63-b74aca5cded5-0Herazo Padilla, Nilson Sebastian-0434d24f-790d-40a9-ab9c-b716a0da4c45-0engIngeniería y UniversidadAttribution-NonCommercial-ShareAlike 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Decision levelsFreight consolidationTrafficUrban distribution centersNiveles de decisiónConsolidación de la cargaTráficoCentros de distribución urbanaMathematical programming modeling and resolution of the location-routing problem in urban logisticsModelado matemático de la programación y resolución del problema de ubicación de rutas en logística urbana.Artículo 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/acceptedVersionAMBROSINO, D. and SCUTELLA, M.G. Distribution network design: New problems and related models. European Journal of Operational Research. 2005, vol. 165, no. 3, pp. 610–624 AVERBAKH, I. and BERMAN, O. Probabilistic sales-delivery man and sales-delivery facility location problems on a tree. Transportation Science. 1995, vol. 29, no. 2, pp. 184–197. AVERBAKH, I. and BERMAN, O. Routing and location-routing p-delivery men problems on a path. Transportation Science. 1994, vol. 28, no. 2, pp. 184–197. AVERBAKH, I.; BERMAN, O. Minmax p-traveling salesmen location problems on a tree. Annals of Operations Research. 2002, vol. 110, no. 1-4, pp. 55–62. AVERBAKH, I.; BERMAN, O. and SIMCHI-LEVI, D. Probabilistic a priori routing-location problems. Naval Research Logistics. 1994, vol. 41, no. 7, pp. 973–989. BALAKRISHNAN, A.; WARD, J.E. and WONG, R.T. Integrated facility location and vehicle routing models: recent work and future prospects. American Journal of Mathematical and Management Sciences. 1987, vol. 7, no. 1-2, pp. 35–61. BARCELÓ, J.; GRZYBOWSKA, H. and PARDO, S. Vehicle routing and scheduling models, simulation and city logistics. Dynamic Fleet Management. 2007, vol. 38, pp. 163–195. BERMAN, O.; JAILLET, P. and SIMCHI-LEVI, D. Location-routing problems with uncertainty. In: Drezner, Z. (Ed.). Facility location: a survey of applications and methods. New York, New York: Springer, 1995, pp. 427–452. BOOKBINDER, J.H. and REECE, K.E. Vehicle routing considerations in distribution system design. European Journal of Operational Research. 1988, vol. 37, no. 2, pp. 204–213. BRANCO, I.M. and COELHO, J.D. The Hamiltonian p-median problem. European Journal of Operational Research. 1990, vol. 47, no. 1, pp. 86–95. GUYON, O.; ABSI, N.; FEILLET, D. and GARAIX, T. A modeling approach for locating logistics platforms for fast parcel delivery in urban areas. Procedia - Social and Behavioral Sciences. 2012, vol. 39, pp. 360–368. HERAZO-PADILLA, N.; NIETO ISAZA, S.; MONTOYA-TORRES, J.R.; RAMIREZ POLO, L.; MUÑOZ-VILLAMIZAR, A. Coupling ant colony optimisation and discrete-event simulation to solve a stochastic location-routing problem. Proceedings of the 2013 Winter Simulation Conference, 2013, pp. 3352-3362. JAMIL, M.; BATTA, R. and MALON, D.M. The traveling repairperson home base location problem. Transportation Science. 1994, vol. 28, no. 2, pp. 150–161. KORIATH, H. and THETRICH, W. Urban goods transport: COST 321 – Final Report of the action. Bruxelles: Office of the Official Publications of the European Community, 1998. LAPORTE, G. A survey of algorithms for location-routing problems. Investigación Operativa. 1989, vol. 1, pp. 93–123. LAPORTE, G. Location-routing problems. In: Vehicle Routing: Methods and Studies. Amsterdam: North-Holland, 1988, pp. 163–198. LAPORTE, G. and NOBERT, Y. An exact algorithm for minimizing routing and operating costs in depot location. European Journal of Operational Research. 1981, vol. 6, no. 2, pp. 224–22 LAPORTE, G.; NOBERT, Y. and PELLETIER, P. Hamiltonian location problems. European Journal of Operational Research. 1983, vol. 12, no. 1, pp. 82–89. LIGOCKI, C. and ZONN, L.E. Parking problems in central business districts. Cities. 1984, vol. 1, no. 4, pp. 350-355. LIN, C.K.Y.; CHOW, C.K. and CHEN, A. A location-routing loading problem for bill delivery services. Computers & Industrial Engineering. 2002, vol. 43, no. 1-2, pp. 5–25. MIN, H.; JAYARAMAN, V. and SRIVASTAVA, R. Combined location-routing problems: a synthesis and future research directions. European Journal of Operational Research. 1998, vol. 108, no. 1, pp. 1–15. MONTOYA-TORRES, J.R.; MARQUES, G. and BURLAT, P. A conceptual framework for location, sizing and operation of urban distribution centers with sustainable performance metrics. Proceedings of the 4th International Conference on Information Systems, Logistics and Supply Chain (ILS 2012), Quebec, Canada, August 26-29, 2012. CD-ROM. MOSHEIOV, G. The pickup delivery location problem on networks. Networks, 1995, vol. 26, no. 4, pp. 243–251. MUÑOZ-VILLAMIZAR, A.; MONTOYA-TORRES, J.R.; JUAN, A.A.; CÁCERES-CRUZ, J. A simulation-based algorithm for the integrated location and routing problem in urban logistics. Proceedings of the 2013 Winter Simulation Conference, 2013, pp. 2032-2041. NAGY, G. and SALHI, S. Location-routing: Issues, models and methods. European Journal of Operational Research. 2007, vol. 177, no. 2, pp. 649–672. NEMOTO, T. Area-wide inter-carrier consolidation of freight in urban areas. Transport Logistics. 1997, vol. 1, no. 2, pp. 87-103. SALHI, S. and FRASER, M. An integrated heuristic approach for the combined location vehicle fleet mix problem. Studies in Locational Analysis. 1996, no. 8, pp. 3–21. SCHWARDT, M. and DETHLOFF, J. Solving a continuous location routing problem by use of a self-organizing map. International Journal of Physical Distribution and Logistics Management. 2005, vol. 35, no. 6, pp. 390–408. SIMCHI-LEVI, D. The capacitated traveling salesman location problem. Transportation Science. 1991, vol. 25, no. 1, pp. 9–18. TANIGUCHI, E.; NORITAKE, M.; YAMADA, T. and IZUMITANI, T. Optimal size and location planning of public logistics terminals. Transportation Research Part E. 1999, vol. 35, no. 3, pp. 207–222. TANIGUCHI, E.; THOMSON, R.G.; YAMADA, T. and VAN DUIN, R. City logistics: networks modelling and intelligent transport systems. n.e.: Pergamon, 1999. TANIGUCHI, E.; THOMPSON, R.G. and YAMADA, T. Recent advances in modelling city logistics. In: City Logistics II, n. d., 2001, pp. 3-34. TANIGUCHI, E.; YAMADA, T. and YANAGISAWA, T. Issues and views on cooperative freight trans-portation systems. 7th World Conference on Transport Research, 1995. LAPORTE, G.; NOBERT, Y. and PELLETIER, P. Hamiltonian location problems. European Journal of Operational Research. 1983, vol. 12, no. 1, pp. 82–89. LIGOCKI, C. and ZONN, L.E. Parking problems in central business districts. Cities. 1984, vol. 1, no. 4, pp. 350-355. LIN, C.K.Y.; CHOW, C.K. and CHEN, A. A location-routing loading problem for bill delivery services. Computers & Industrial Engineering. 2002, vol. 43, no. 1-2, pp. 5–25. MIN, H.; JAYARAMAN, V. and SRIVASTAVA, R. Combined location-routing problems: a synthesis and future research directions. European Journal of Operational Research. 1998, vol. 108, no. 1, pp. 1–15. MONTOYA-TORRES, J.R.; MARQUES, G. and BURLAT, P. A conceptual framework for location, sizing and operation of urban distribution centers with sustainable performance metrics. Proceedings of the 4th International Conference on Information Systems, Logistics and Supply Chain (ILS 2012), Quebec, Canada, August 26-29, 2012. CD-ROM. MOSHEIOV, G. The pickup delivery location problem on networks. Networks, 1995, vol. 26, no. 4, pp. 243–251. MUÑOZ-VILLAMIZAR, A.; MONTOYA-TORRES, J.R.; JUAN, A.A.; CÁCERES-CRUZ, J. A simulation-based algorithm for the integrated location and routing problem in urban logistics. Proceedings of the 2013 Winter Simulation Conference, 2013, pp. 2032-2041. NAGY, G. and SALHI, S. Location-routing: Issues, models and methods. European Journal of Operational Research. 2007, vol. 177, no. 2, pp. 649–672. NEMOTO, T. Area-wide inter-carrier consolidation of freight in urban areas. Transport Logistics. 1997, vol. 1, no. 2, pp. 87-103. SALHI, S. and FRASER, M. An integrated heuristic approach for the combined location vehicle fleet mix problem. Studies in Locational Analysis. 1996, no. 8, pp. 3–21. SCHWARDT, M. and DETHLOFF, J. Solving a continuous location routing problem by use of a self-organizing map. International Journal of Physical Distribution and Logistics Management. 2005, vol. 35, no. 6, pp. 390–408. SIMCHI-LEVI, D. 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Issues and views on cooperative freight trans-portation systems. 7th World Conference on Transport Research, 1995.PublicationORIGINALMathematical Programming Modeling.pdfMathematical Programming Modeling.pdfapplication/pdf1247616https://repositorio.cuc.edu.co/bitstreams/33c69f12-a043-422c-b5c7-0d56f7f04232/download83752f72f8f6ee0ebcee9c6dfd0e8d7aMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81031https://repositorio.cuc.edu.co/bitstreams/64d76889-a14d-4d27-be59-6722643fc118/download934f4ca17e109e0a05eaeaba504d7ce4MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.cuc.edu.co/bitstreams/4b9edf69-58db-41a2-bf49-edbb5917e50a/download8a4605be74aa9ea9d79846c1fba20a33MD53THUMBNAILMathematical Programming Modeling.pdf.jpgMathematical Programming Modeling.pdf.jpgimage/jpeg45242https://repositorio.cuc.edu.co/bitstreams/42e1a4af-98a8-4cf7-9e17-ddc61b510ec8/downloada7e84aff7fffb3447f9654768d928885MD55TEXTMathematical Programming Modeling.pdf.txtMathematical Programming Modeling.pdf.txttext/plain43205https://repositorio.cuc.edu.co/bitstreams/f75557c5-e687-486b-ae3f-e09a994914da/downloadb304fa70fa6ec32d0e25173af5981f6aMD5611323/4198oai:repositorio.cuc.edu.co:11323/41982024-09-17 14:16:51.129http://creativecommons.org/licenses/by-nc-sa/4.0/Attribution-NonCommercial-ShareAlike 4.0 Internationalopen.accesshttps://repositorio.cuc.edu.coRepositorio de la Universidad de la Costa CUCrepdigital@cuc.edu.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