{"title":"基于分治的启发式算法在若干整数优化问题中的应用与评价","authors":"Fernando A. Morales","doi":"10.2298/yjor2111015030m","DOIUrl":null,"url":null,"abstract":"In this paper three heuristic algorithms using the Divide-and-Conquer\n paradigm are developed and assessed for three integer optimizations\n problems: Multidimensional Knapsack Problem (d-KP), Bin Packing Problem\n (BPP) and Travelling Salesman Problem (TSP). For each case, the algorithm is\n introduced, together with the design of numerical experiments, in order to\n empirically establish its performance from both points of view: its\n computational time and its numerical accuracy.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application and assessment of divide-and-conquer-based heuristic algorithms for some integer optimization problems\",\"authors\":\"Fernando A. Morales\",\"doi\":\"10.2298/yjor2111015030m\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper three heuristic algorithms using the Divide-and-Conquer\\n paradigm are developed and assessed for three integer optimizations\\n problems: Multidimensional Knapsack Problem (d-KP), Bin Packing Problem\\n (BPP) and Travelling Salesman Problem (TSP). For each case, the algorithm is\\n introduced, together with the design of numerical experiments, in order to\\n empirically establish its performance from both points of view: its\\n computational time and its numerical accuracy.\",\"PeriodicalId\":52438,\"journal\":{\"name\":\"Yugoslav Journal of Operations Research\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-11-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yugoslav Journal of Operations Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/yjor2111015030m\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/yjor2111015030m","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}
Application and assessment of divide-and-conquer-based heuristic algorithms for some integer optimization problems
In this paper three heuristic algorithms using the Divide-and-Conquer
paradigm are developed and assessed for three integer optimizations
problems: Multidimensional Knapsack Problem (d-KP), Bin Packing Problem
(BPP) and Travelling Salesman Problem (TSP). For each case, the algorithm is
introduced, together with the design of numerical experiments, in order to
empirically establish its performance from both points of view: its
computational time and its numerical accuracy.