Abstract
In this paper a multi-criteria fuel distribution problem similar to the common CVRP is considered with the real-life coordinates of gas stations obtained from a certain petrol company. The optimized criteria are the total distance of all tours and the number of tours. A certain method of solution representation, which ensures a feasible solution was used along a decoding scheme. A simulated annealing (SA) metaheuristic algorithm was implemented in order to obtain the approximations of the Pareto set for a number of instances with varying number of gas stations and demands for each station. The results show 17–18% improvement over the starting solution in all cases for both criteria. Moreover, the number of found solutions per instance increases with the number of gas stations. The improvements can be translated directly into profit, which was shown as well.
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References
Bowerman, R., Hall, B., Calamai, P.: A multi-objective optimization approach to urban school bus routing: Formulation and solution method. Transportation Research (29), pp. 107–123 (1995)
Bożejko, W., Pempera, J., Smutnicki, C.: Parallel Simulated Annealing for the Job Shop Scheduling Problem. In: Allen, G., Nabrzyski, J., Seidel, E., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds.) ICCS 2009, Part I. LNCS, vol. 5544, pp. 631–640. Springer, Heidelberg (2009)
Corberan, A., Fernandez, E., Laguna, M., Marti, R.: Heuristic solutions to the problem of routing school buses with multiple objectives. Journal of Operational Research Society (53), 427–435 (2002)
Jagiełło, S., Żelazny, D.: Solving Multi-criteria Vehicle Routing Problem by Parallel Tabu Search on GPU. Procedia Computer Science (18), 2529–2532 (2013)
Keller, C.: Multiobjective routing through space and time: The MVP and TDVRP problems, Ph.D. thesis, University of Western Ontario (1985)
Keller, C., Goodchild, M.: The multiobjective vending problem: A generalization of the traveling salesman problem. Environment and Planning B: Planning and Design (15), 447–460 (1988)
Lee, T.-R., Ueng, J.-H.: A study of vehicle routing problem with load balancing, International Journal of Physical Distribution and Logistics Management (29), 646–657 (1998)
Pacheco, J., Marti, R.: Tabu search for a multi-objective routing problem. Journal of Operational Research Society (57), 29–37 (2006)
Paquete, T.S.L., Chiarandini, L.: Pareto local optimum sets in the bi-objective traveling salesman problem: An experimental study. In: Lecture Notes in Economics and Mathematical Systems, pp. 177–200 (2004)
Pempera, J., Smutnicki, C., Żelazny, D.: Optimizing bicriteria flow shop scheduling problem by simulated annealing algorithm. Procedia Computer Science (18), 936–945 (2013)
Ralphs, T.K., Kopman, L., Pulleyblank, W.R., Trotter Jr., L.E.: On the Capacitated Vehicle Routing Problem. Mathematical Programming (94), 343–359 (2003)
Rudy, J., Żelazny, D.: Memetic algorithm approach for multi-criteria network scheduling. In: Proceeding of the International Conference on ICT Management for Global Competitiveness and Economic Growth in Emerging Economies (ICTM 2012), pp. 247–261 (2012)
Rudy, J., Żelazny, D.: GACO: A parallel evolutionary approach to multi-objective scheduling. In: Gaspar-Cunha, A., Henggeler Antunes, C., Coello, C.C. (eds.) EMO 2015. LNCS, vol. 9018, pp. 307–320. Springer, Heidelberg (2015)
Ulungu, E., Teghem, J., Fortemps, P., Tuyttens, D.: Mosa method: A tool for solving moco problems. Journal of Multi-Criteria Decision Analysis (8), 221–236 (1999)
Zografos, K., Androustsopoulos, K.: A heuristic algorithm for solving hazardous material distribution problems. European Journal of Operational Research (152), 507–519 (2004)
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Rudy, J., Żelazny, D. (2015). Multi-Criteria Fuel Distribution: A Case Study. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2015. Lecture Notes in Computer Science(), vol 9120. Springer, Cham. https://doi.org/10.1007/978-3-319-19369-4_25
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DOI: https://doi.org/10.1007/978-3-319-19369-4_25
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