{"title":"单连续变量双目标0-1线性背包问题的精确算法","authors":"Hongtao Liu","doi":"10.1109/PDCAT.2017.00022","DOIUrl":null,"url":null,"abstract":"In this paper, we study one variant of the multiobjective knapsack problem, i.e., the biobjective 0-1 linear knapsack problem with a single continuous variable (BKPC). An exact algorithm, the biobjective branch and bound method (BOBB), is presented to find all nondominated points of the BKPC. We analyze the nondominated frontier of the BKPC and design a new branching strategy to improve the algorithm. Finally an illustrative example shows how the algorithm solves a practical problem.","PeriodicalId":119197,"journal":{"name":"2017 18th International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"An Exact Algorithm for the Biobjective 0-1 Linear Knapsack Problem with a Single Continuous Variable\",\"authors\":\"Hongtao Liu\",\"doi\":\"10.1109/PDCAT.2017.00022\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study one variant of the multiobjective knapsack problem, i.e., the biobjective 0-1 linear knapsack problem with a single continuous variable (BKPC). An exact algorithm, the biobjective branch and bound method (BOBB), is presented to find all nondominated points of the BKPC. We analyze the nondominated frontier of the BKPC and design a new branching strategy to improve the algorithm. Finally an illustrative example shows how the algorithm solves a practical problem.\",\"PeriodicalId\":119197,\"journal\":{\"name\":\"2017 18th International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 18th International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PDCAT.2017.00022\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 18th International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PDCAT.2017.00022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Exact Algorithm for the Biobjective 0-1 Linear Knapsack Problem with a Single Continuous Variable
In this paper, we study one variant of the multiobjective knapsack problem, i.e., the biobjective 0-1 linear knapsack problem with a single continuous variable (BKPC). An exact algorithm, the biobjective branch and bound method (BOBB), is presented to find all nondominated points of the BKPC. We analyze the nondominated frontier of the BKPC and design a new branching strategy to improve the algorithm. Finally an illustrative example shows how the algorithm solves a practical problem.
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