Formulations and Benders decomposition algorithms for multidepot salesmen problems with load balancing
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DOI: 10.1016/j.ejor.2011.07.020
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- Kulkarni, R. V. & Bhave, P. R., 1985. "Integer programming formulations of vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 20(1), pages 58-67, April.
- T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
- Gilbert Laporte & Yves Nobert & Serge Taillefer, 1988. "Solving a Family of Multi-Depot Vehicle Routing and Location-Routing Problems," Transportation Science, INFORMS, vol. 22(3), pages 161-172, August.
- Laporte, Gilbert, 1992. "The traveling salesman problem: An overview of exact and approximate algorithms," European Journal of Operational Research, Elsevier, vol. 59(2), pages 231-247, June.
- Kara, Imdat & Bektas, Tolga, 2006. "Integer linear programming formulations of multiple salesman problems and its variations," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1449-1458, November.
- Dale McDaniel & Mike Devine, 1977. "A Modified Benders' Partitioning Algorithm for Mixed Integer Programming," Management Science, INFORMS, vol. 24(3), pages 312-319, November.
- Nagy, Gabor & Salhi, Said, 2005. "Heuristic algorithms for single and multiple depot vehicle routing problems with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 162(1), pages 126-141, April.
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- Akpinar, Sener & Elmi, Atabak & Bektaş, Tolga, 2017. "Combinatorial Benders cuts for assembly line balancing problems with setups," European Journal of Operational Research, Elsevier, vol. 259(2), pages 527-537.
- Antonio Martinez‐Sykora & Tolga Bektaş, 2015. "Transformations of node‐balanced routing problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(5), pages 370-387, August.
- Gendreau, Michel & Nossack, Jenny & Pesch, Erwin, 2015. "Mathematical formulations for a 1-full-truckload pickup-and-delivery problem," European Journal of Operational Research, Elsevier, vol. 242(3), pages 1008-1016.
- Shoufeng Ji & Qi Sun, 2017. "Low-Carbon Planning and Design in B&R Logistics Service: A Case Study of an E-Commerce Big Data Platform in China," Sustainability, MDPI, vol. 9(11), pages 1-27, November.
- Burger, M. & Su, Z. & De Schutter, B., 2018. "A node current-based 2-index formulation for the fixed-destination multi-depot travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 265(2), pages 463-477.
- Bektaş, Tolga & Gouveia, Luis & Martínez-Sykora, Antonio & Salazar-González, Juan-José, 2019. "Balanced vehicle routing: Polyhedral analysis and branch-and-cut algorithm," European Journal of Operational Research, Elsevier, vol. 273(2), pages 452-463.
- José Alejandro Cornejo-Acosta & Jesús García-Díaz & Julio César Pérez-Sansalvador & Carlos Segura, 2023. "Compact Integer Programs for Depot-Free Multiple Traveling Salesperson Problems," Mathematics, MDPI, vol. 11(13), pages 1-25, July.
- Canan G. Corlu & Rocio de la Torre & Adrian Serrano-Hernandez & Angel A. Juan & Javier Faulin, 2020. "Optimizing Energy Consumption in Transportation: Literature Review, Insights, and Research Opportunities," Energies, MDPI, vol. 13(5), pages 1-33, March.
- Ashkan Fakhri & Mehdi Ghatee, 2013. "Solution of preemptive multi-objective network design problems applying Benders decomposition method," Annals of Operations Research, Springer, vol. 210(1), pages 295-307, November.
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Keywords
Fixed destination; Multiple Traveling Salesman Problem; Benders decomposition; Multicommodity network design;All these keywords.
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