How to cite this paper
Granada-Echeverri, M., Toro, E & Santa, J. (2019). A mixed integer linear programming formulation for the vehicle routing problem with backhauls.International Journal of Industrial Engineering Computations , 10(2), 295-308.
Refrences
Barnhart, C., Boland, N. L., Clarke, L. W., Johnson, E. L., Nemhauser, G. L., & Shenoi, R. G. (1998). Flight string models for aircraft fleeting and routing. Transportation Science, 32(3), 208-220.
Bektaş, T., & Laporte, G. (2011). The pollution-routing problem. Transportation Research Part B: Methodological, 45(8), 1232-1250.
Bodin, L. D., Golden, B. L., Assad, A., & Ball, M. 0.(1983) Routing and scheduling of vehicles and crews: The state of the art. Computers and Operations Research, 10, 63-21.
Braekers, K., Ramaekers, K., & Van Nieuwenhuyse, I. (2016). The vehicle routing problem: State of the art classification and review. Computers & Industrial Engineering, 99, 300-313.
Chávez, J., Escobar, J., & Echeverri, M. (2016). A multi-objective Pareto ant colony algorithm for the Multi-Depot Vehicle Routing problem with Backhauls. International Journal of Industrial Engineering Computations, 7(1), 35-48.
Chávez, J., Escobar, J., Echeverri, M., & Meneses, C. (2018). A heuristic algorithm based on tabu search for vehicle routing problems with backhauls. Decision Science Letters, 7(2), 171-180.
Doerner, K., Gutjahr, W. J., Hartl, R. F., Strauss, C., & Stummer, C. (2004). Pareto ant colony optimization: A metaheuristic approach to multiobjective portfolio selection. Annals of Operations Research, 131(1-4), 79-99.
Fourer, R., Gay, D. M., & Kernighan, B. W. (1990). A modeling language for mathematical programming. Management Science, 36(5), 519-554.
Goetschalckx, M., & Jacobs-Blecha, C. (1989). The vehicle routing problem with backhauls. European Journal of Operational Research, 42(1), 39-51.
Irnich, S., Schneider, M., & Vigo, D. (2014a). Chapter 9: Four Variants of the Vehicle Routing Problem. In Vehicle Routing: Problems, Methods, and Applications, Second Edition (pp. 241-271). Society for Industrial and Applied Mathematics.
Irnich, S., Toth, P., & Vigo, D. (2014b). Chapter 1: The family of vehicle routing problems. In Vehicle Routing: Problems, Methods, and Applications, Second Edition (pp. 1-33). Society for Industrial and Applied Mathematics.
Koç, Ç., & Laporte, G. (2017). Vehicle Routing with Backhauls: Review and Research Perspectives. Computers & Operations Research.
Mingozzi, A., Giorgi, S., & Baldacci, R. (1999). An exact method for the vehicle routing problem with backhauls. Transportation Science, 33(3), 315-329
Osman, I. H., & Wassan, N. A. (2002). A reactive tabu search meta‐heuristic for the vehicle routing problem with back‐hauls. Journal of Scheduling, 5(4), 263-285.
Parragh, S. N., Doerner, K. F., & Hartl, R. F. (2008). A survey on pickup and delivery problems. Journal für Betriebswirtschaft, 58(1), 21-51
Ropke, S., & Pisinger, D. (2006). A unified heuristic for a large class of vehicle routing problems with backhauls. European Journal of Operational Research, 171(3), 750-775.
Santa Chávez, J. J., Echeverri, M. G., Escobar, J. W., & Meneses, C. A. P. (2015). A Metaheuristic ACO to Solve the Multi-Depot Vehicle Routing Problem with Backhauls. International Journal of Industrial Engineering and Management (IJIEM), 6(2), 49-58.
Salhi, S., & Nagy, G. (1999). A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling. Journal of the operational Research Society, 50(10), 1034-1042.
Schrage, L. (1981). Formulation and structure of more complex/realistic routing and scheduling problems. Networks, 11(2), 229-232.
Toth, P., & Vigo, D. (1997). An exact algorithm for the vehicle routing problem with backhauls. Transportation Science, 31(4), 372-385.
Toth, P., & Vigo, D. (1999). A heuristic algorithm for the symmetric and asymmetric vehicle routing problems with backhauls. European Journal of Operational Research, 113(3), 528-543.
Toth, P., & Vigo, D. (Eds.). (2002). The vehicle routing problem. Society for Industrial and Applied Mathematics.
Wade, A., & Salhi, S. (2003). An ant system algorithm for the mixed vehicle routing problem with backhauls. In Metaheuristics: computer decision-making (pp. 699-719). Springer, Boston, MA.
Bektaş, T., & Laporte, G. (2011). The pollution-routing problem. Transportation Research Part B: Methodological, 45(8), 1232-1250.
Bodin, L. D., Golden, B. L., Assad, A., & Ball, M. 0.(1983) Routing and scheduling of vehicles and crews: The state of the art. Computers and Operations Research, 10, 63-21.
Braekers, K., Ramaekers, K., & Van Nieuwenhuyse, I. (2016). The vehicle routing problem: State of the art classification and review. Computers & Industrial Engineering, 99, 300-313.
Chávez, J., Escobar, J., & Echeverri, M. (2016). A multi-objective Pareto ant colony algorithm for the Multi-Depot Vehicle Routing problem with Backhauls. International Journal of Industrial Engineering Computations, 7(1), 35-48.
Chávez, J., Escobar, J., Echeverri, M., & Meneses, C. (2018). A heuristic algorithm based on tabu search for vehicle routing problems with backhauls. Decision Science Letters, 7(2), 171-180.
Doerner, K., Gutjahr, W. J., Hartl, R. F., Strauss, C., & Stummer, C. (2004). Pareto ant colony optimization: A metaheuristic approach to multiobjective portfolio selection. Annals of Operations Research, 131(1-4), 79-99.
Fourer, R., Gay, D. M., & Kernighan, B. W. (1990). A modeling language for mathematical programming. Management Science, 36(5), 519-554.
Goetschalckx, M., & Jacobs-Blecha, C. (1989). The vehicle routing problem with backhauls. European Journal of Operational Research, 42(1), 39-51.
Irnich, S., Schneider, M., & Vigo, D. (2014a). Chapter 9: Four Variants of the Vehicle Routing Problem. In Vehicle Routing: Problems, Methods, and Applications, Second Edition (pp. 241-271). Society for Industrial and Applied Mathematics.
Irnich, S., Toth, P., & Vigo, D. (2014b). Chapter 1: The family of vehicle routing problems. In Vehicle Routing: Problems, Methods, and Applications, Second Edition (pp. 1-33). Society for Industrial and Applied Mathematics.
Koç, Ç., & Laporte, G. (2017). Vehicle Routing with Backhauls: Review and Research Perspectives. Computers & Operations Research.
Mingozzi, A., Giorgi, S., & Baldacci, R. (1999). An exact method for the vehicle routing problem with backhauls. Transportation Science, 33(3), 315-329
Osman, I. H., & Wassan, N. A. (2002). A reactive tabu search meta‐heuristic for the vehicle routing problem with back‐hauls. Journal of Scheduling, 5(4), 263-285.
Parragh, S. N., Doerner, K. F., & Hartl, R. F. (2008). A survey on pickup and delivery problems. Journal für Betriebswirtschaft, 58(1), 21-51
Ropke, S., & Pisinger, D. (2006). A unified heuristic for a large class of vehicle routing problems with backhauls. European Journal of Operational Research, 171(3), 750-775.
Santa Chávez, J. J., Echeverri, M. G., Escobar, J. W., & Meneses, C. A. P. (2015). A Metaheuristic ACO to Solve the Multi-Depot Vehicle Routing Problem with Backhauls. International Journal of Industrial Engineering and Management (IJIEM), 6(2), 49-58.
Salhi, S., & Nagy, G. (1999). A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling. Journal of the operational Research Society, 50(10), 1034-1042.
Schrage, L. (1981). Formulation and structure of more complex/realistic routing and scheduling problems. Networks, 11(2), 229-232.
Toth, P., & Vigo, D. (1997). An exact algorithm for the vehicle routing problem with backhauls. Transportation Science, 31(4), 372-385.
Toth, P., & Vigo, D. (1999). A heuristic algorithm for the symmetric and asymmetric vehicle routing problems with backhauls. European Journal of Operational Research, 113(3), 528-543.
Toth, P., & Vigo, D. (Eds.). (2002). The vehicle routing problem. Society for Industrial and Applied Mathematics.
Wade, A., & Salhi, S. (2003). An ant system algorithm for the mixed vehicle routing problem with backhauls. In Metaheuristics: computer decision-making (pp. 699-719). Springer, Boston, MA.