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In this article the main optimization problems in the municipal services companies were presented. These problems concern the issue of vehicle routing. The mathematical models of these problems were described. The function of criterion and the conditions on designating the vehicle routing were defined. In this paper the hybrid algorithm solving the presented problems was proposed. The hybrid algorithm consists of two heuristic algorithms: the ant and the genetic algorithm. In this paper the stages of constructing of the hybrid algorithm were presented. A structure of the data processed by the algorithm, a function of adaptation, a selection of chromosomes, a crossover, a mutation and an inversion were characterized. A structure of the data was presented as string of natural numbers. In selection process the roulette method was used and in the crossover process the operator PMX was presented. This algorithm was verified in programming language C #. The process of verification was divided into two stages. In the first stage the best parameters of the hybrid algorithm were designated. In the second stage the algorithm was started with these parameters and the result was compared with the random search algorithm. The random search algorithm generates 2000 routes and the best result is compared with the hybrid algorithm.
Czasopismo
Rocznik
Tom
Strony
27--36
Opis fizyczny
Bibliogr. 23 poz., rys., tab., wykr.
Twórcy
Bibliografia
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- [2] Abdoun O., Abouchabaka J., A Comparative Study of Adaptive Crossover Operators for Genetic Algorithms to Resolve the Traveling Salesman Problem. International Journal of Computer Applications, Foundation of Computer Science, Volume 31 - No. II, pp. 49-57, New York, USA , October 2011.
- [3] Bautista J., Fernandez E., Pereira J., Solving an urban waste collection problem using ants heuristics. Computers & Operations Research, Elsevier. Volume 35, Issue 9, pp. 3020-3033, USA 2008.
- [4] Bautista J., Pereira J., (2004) Ant algorithms for urban waste collection algorithms. Lecture Notes in Computer Science 3172: 302-309.
- [5] Belien J., Boeck L., Municipal Solid Waste Collection and Management Problems: A Literature Review, Transportation Science, Institute for Operations Research and the Management Sciences (INFORMS) Volume 48 Issue I, pp. 78-102, USA 2014.
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- [7] Bräysy O., Gendreau M., Vehicle Routing Problem with Time Windows, Part II: Metaheuristics, Transportation Science, Institute for Operations Research and the Management Sciences (INFORMS). Volume 39 Issue 1, pp. 119-139, USA 2005.
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- [13] Goldberg D. E., Algorytmy genetyczne i ich zastosowanie. Wydawnictwo Naukowo - Techniczne. Warszawa 1995.
- [14] Grefenstette J., Gopal R., Rosmaita B., Van Gucht D., Genetic Algorithm for the TPS, Proceedings of the First International Conference on Genetic Algorithms, Lawrence Erlbaum Associates. Hillsdale, pp. 160-168. NJ 1985.
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- [16] Izdebski M., Jacyna M., Some Aspects of the Application of Genetic Algorithm for Solving the Assignment Problem of Tasks to Resources in a Transport Company, Logistic and Transport, Vol. 21, No 1. pp. 13-20. Wrocław 2014.
- [17] Izdebski M., Jacyna M., The algorithm solving the problem of allocation of tasks to resources in the transport company. Conference Proceedings Carpathian Logistics Congres. (CD-ROM), Kraków 2013.
- [18] Jacyna, M., Modelowanie i ocena systemów transportowych. Oficyna Wydawnicza Politechniki Warszawskiej. Warszawa 2009.
- [19] Nagata Y., Kobayashi S., A Powerful Genetic Algorithm Using Edge Assembly Crossover for the Traveling Salesman Problem, Transportation Science, Institute for Operations Research and the Management Sciences (INFORMS) Volume 25 Issue 2, pp. 346-363, USA 2013.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-33b7a57e-33bb-4f7b-8f6d-d3cab3c9a8f3