{"title":"Comparision of the walk techniques for fitness state space analysis in vehicle routing problem","authors":"A. Agárdi, L. Kovács, T. Bányai","doi":"10.14311/ap.2021.61.0672","DOIUrl":null,"url":null,"abstract":"The Vehicle Routing Problem (VRP) is a highly researched discrete optimization task. The first article dealing with this problem was published by Dantzig and Ramster in 1959 under the name Truck Dispatching Problem. Since then, several versions of VRP have been developed. The task is NP difficult, it can be solved only in the foreseeable future, relying on different heuristic algorithms. The geometrical property of the state space influences the efficiency of the optimization method. In this paper, we present an analysis of the following state space methods: adaptive, reverse adaptive and uphill-downhill walk. In our paper, the efficiency of four operators are analysed on a complex Vehicle Routing Problem. These operators are the 2-opt, Partially Matched Crossover, Cycle Crossover and Order Crossover. Based on the test results, the 2-opt and Partially Matched Crossover are superior to the other two methods.","PeriodicalId":45804,"journal":{"name":"Acta Polytechnica","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Polytechnica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14311/ap.2021.61.0672","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The Vehicle Routing Problem (VRP) is a highly researched discrete optimization task. The first article dealing with this problem was published by Dantzig and Ramster in 1959 under the name Truck Dispatching Problem. Since then, several versions of VRP have been developed. The task is NP difficult, it can be solved only in the foreseeable future, relying on different heuristic algorithms. The geometrical property of the state space influences the efficiency of the optimization method. In this paper, we present an analysis of the following state space methods: adaptive, reverse adaptive and uphill-downhill walk. In our paper, the efficiency of four operators are analysed on a complex Vehicle Routing Problem. These operators are the 2-opt, Partially Matched Crossover, Cycle Crossover and Order Crossover. Based on the test results, the 2-opt and Partially Matched Crossover are superior to the other two methods.
期刊介绍：
Acta Polytechnica is a scientific journal published by CTU in Prague. The main title, Acta Polytechnica, is accompanied by the subtitle Journal of Advanced Engineering, which defines the scope of the journal more precisely - Acta Polytechnica covers a wide spectrum of engineering topics, physics and mathematics. Our aim is to be a high-quality multi-disciplinary journal publishing the results of basic research and also applied research. We place emphasis on the quality of all published papers. The journal should also serve as a bridge between basic research in natural sciences and applied research in all technical disciplines. The innovative research results published by young researchers or by postdoctoral fellows, and also the high-quality papers by researchers from the international scientific community, reflect the good position of CTU in the World University Rankings. We hope that you will find our journal interesting, and that it will serve as a valuable source of scientific information.
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