Previous |  Up |  Next


supply chain; transportation problem; fixed charge transportation problem; feasible solution; optimal solution
Fixed charge transportation problem (FCTP) is a supply chain problem. In this problem, in addition to the cost per unit for each transported product, a fixed cost is also required. The aim is to carry out the transportation process at the lowest possible cost. As with all supply chain problems, this problem may have one, two, or three stages. An algorithm that can find the optimal solution for the problem in polynomial time is not known, even if it is a single-stage problem. For this reason, new algorithms have been proposed in recent years to provide an approximate solution for the problem. The vast majority of these algorithms are meta-heuristic algorithms. In this study, we propose a new heuristic algorithm to find an optimal solution for the 1-stage FCTP. We compare the results of our algorithm with the results of other existing algorithms.
[1] Adlakha, V., Kowalski, K.: On the fixed-charge transportation problem. Omega 27 (1999), 3, 381-388. DOI 
[2] Adlakha, V., Kowalski, K.: A simple heuristic for solving small fixed-charge transportation problems. Omega 31 (2003), 3, 205-211. DOI 
[3] Adlakha, V., Kowalski, K., Vemuganti, R. R.: Heuristic algorithms for the fixed-charge transportation problem. Opsearch 43 (2006), 2, 132-151. DOI 10.1007/BF03398770 | MR 2764169
[4] Adlakha, V., Kowalski, K., Lev, B.: A branching method for the fixed charge transportation problem. Omega 38 (2010), 5, 393-397. DOI  | MR 2764169
[5] Adlakha, V., Kowalski, K., Vemuganti, R. R., Lev, B.: More-for-less algorithm for fixed-charge transportation problems. Omega: Int. J. Manag. Sci. 35 (2007), 1, 116-127. DOI 
[6] Allen, W. B., Liu, D.: An inventory-transport model with uncertain loss and damage. Logist.Transport. Rev. 29 (1993), 2, 101.
[7] Amorim, P., Meyr, H., Almeder, C., Almada-Lobo, B.: Managing perishability in production-distribution planning: a discussion and review. Flexible Services Manufactur. J. 25 (1993), 3, 389-413.
[8] Amin, S. H., Baki, F.: A facility location model for global closed-loop supply chain network design. Appl. Math. Modell. 41 (2017), 316-330. DOI  | MR 3580570
[9] Balinski, M. L.: Fixed-cost transportation problems. Naval Res. Logistic Quarterly 8 (1961), 1, 41-54. DOI 
[10] Calvete, H. I., Gale, C., Iranzo, J. A., Toth, P.: A matheuristic for the two-stage fixed-charge transportation problem. Comput. Oper. Res. 95 (2018), 113-122. DOI  | MR 3789199
[11] Cosma, O., Pop, P. C., D\u{a}nciulescu, D.: A novel matheuristic approach for a two-stage transportation problem with fixed costs associated to the routes. Comput. Oper. Res. 118 (2020), 104906. DOI  | MR 4067956
[12] El-Sherbiny, M. M., Alhamali, R. M.: A hybrid particle swarm algorithm with artificial immune learning for solving the fixed charge transportation problem. Comput. Industr, Engrg. 64 (2013), 2, 610-620. DOI 
[13] Eskandarpour, M., Dejax, P., Peton, O.: A large neighbourhood search heuristic for supply chain network design. Comput. Oper. Res. 8 (2017), 4, 23-37. DOI  | MR 3590606
[14] Gottlieb, J., Paulmann, L.: Genetic algorithms for the fixed charge transportation problems. In: Proc. of the IEEE Conf. on Evolutionary Computation, ICEC 1998, pp. 330-335. DOI 
[15] Hitchcock, F. L.: Distribution of a product from several sources to numerous locations. J. Math. Physics 20 (1941), 224-230. DOI  | MR 0004469
[16] Hirsch, W. M., Dantzig, G. B.: The fixed Charge problem. Naval Res. Log. Quart. 15 (1968), 413-424. DOI  | MR 0258464
[17] Hong, J., Diabat, A., Panicker, V. V., Rajagopalan, S.: A two-stage supply chain problem with fixed costs: An ant colony optimization approach. Int. J. Product. Econom. 204 (2018), 214-226. DOI 
[18] Jawahar, N., Balaji, A. N.: A genetic algorithm for the two-stage supply chain distribution problem associated with a fixed charge. Europ. J. Oper. Res. 194 (2009), 2, 496-537. DOI 
[19] Jawahar, N., Gunasekaran, A., Balaji, N.: A simulated annealing algorithm to the multi-period fixed charge distribution problem associated with backorder and inventory. Int. J. Prod. Res. 50 (2011), 9, 2533-2554. DOI 
[20] Jo, J. B., Li, Y., Y., Gen, M.: Nonlinear fixed charge transportation problem by spanning tree-based genetic algorithm. Comput. Industr. Engrg. 53 (2007), 2, 290-298. DOI 
[21] Kartlı, N., Bostancı, E., Güzel, M. S.: A new algorithm for the initial feasible solutions of fixed charge transportation problem. In: 7th International Conference on Computer Science and Engineering (UBMK), IEEE 2022, pp. 82-85. DOI 
[22] Li, P.: Solving the sensor cover energy problem via integer linear programming. Kybernetika 57 (2021), 4, 568-593. DOI 
[23] Lin, V.: Binary integer programming solution for troubleshooting with dependent actions. Kybernetika 53 (2017), 3, 493-512. DOI  | MR 3684682
[24] Lotfi, M. M., Tavakkoli-Moghaddam, R.: A genetic algorithm using priority-based encoding with new operators for fixed charge transportation problems. Appl. Soft Comput. 13 (2013), 5, 2711-2726. DOI 
[25] Panicker, V. V., Vanga, R., Sridharan, R.: Ant colony Optimization algorithm for distribution-allocation problem in a two-stage supply chain with a fixed transportation charge. Int. J. Prod. Res. 51 (2012), 3, 698-717. DOI 
[26] Panicker, V. V., Sridharan, R., Ebenezer, B.: Three-stage supply chain allocation with fixed cost. J. Manuf. Technol. Manag. 23 (2012), 7, 853-868. DOI 
[27] Pop, P. C., Sabo, C., Biesinger, B., Hu, B., Raidl, G. R.: Solving the two-stage fixed charge transportation problem with a hybrid genetic algorithm. Carpathian J. Math. 33 (2017), 3, 36-371. MR 3728059
[28] Raj, K. A. A. D., Rajendran, C.: A hybrid genetic algorithm for solving single-stage fixed-charge transportation problems. Technol. Oper. Manag. 2 (2011), 1, 1-15. DOI 
[29] Raj, K. A. A. D., Rajendran, C.: A genetic algorithm for solving the fixed-charge transportation model: two-stage problem. Comput. Oper. Res. 39 (2012), 9, 2016-2032. DOI 
[30] Singh, G., Singh, A.: Solving fixed-charge transportation problem using a modified particle swarm optimization algorithm. Int. J. System Assurance Engrg. Management 12 (2021), (6), 1073-1086. DOI 
[31] Sun, M., Aronson, J. E., Mckeown, P. G., Drinka, D.: A tabu search heuristic procedure for the fixed charge transportation problem. Europ. J. Oper. Res. 106 (1999), 2-3, 411-456. DOI 
[32] Tari, F. G., Hashemi, I.: Prioritized K-mean clustering hybrid GA for discounted fixed charge transportation problems. Comput. Industr. Engrg. 126 (2018), 63-74. DOI 
Partner of
EuDML logo