{"title":"一类具有成本约束的最短时限运输问题","authors":"Zhenning Dong, Jianhua Ma","doi":"10.1109/WCICA.2004.1343060","DOIUrl":null,"url":null,"abstract":"This paper considers the shortest time limit transportation problem with storage cost upper limitation on bipartite graph. The authors prove that its feasible solution corresponds to that of transportation problem uniquely, the basic feasible solution of transportation problem corresponds to its basic solution, and the optimal solution of transportation problem is one of its optimal solutions. Then we revise the transportation cost of the edge with longer transportation time into /spl infin/ continuously, and get its optimal solution by solving the transportation problem. Finally, the authors present an example to show that the algorithm runs easily and quickly.","PeriodicalId":331407,"journal":{"name":"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)","volume":"70 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A kind of shortest time limit transportation problem with cost constraints\",\"authors\":\"Zhenning Dong, Jianhua Ma\",\"doi\":\"10.1109/WCICA.2004.1343060\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers the shortest time limit transportation problem with storage cost upper limitation on bipartite graph. The authors prove that its feasible solution corresponds to that of transportation problem uniquely, the basic feasible solution of transportation problem corresponds to its basic solution, and the optimal solution of transportation problem is one of its optimal solutions. Then we revise the transportation cost of the edge with longer transportation time into /spl infin/ continuously, and get its optimal solution by solving the transportation problem. Finally, the authors present an example to show that the algorithm runs easily and quickly.\",\"PeriodicalId\":331407,\"journal\":{\"name\":\"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)\",\"volume\":\"70 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2004-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WCICA.2004.1343060\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WCICA.2004.1343060","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A kind of shortest time limit transportation problem with cost constraints
This paper considers the shortest time limit transportation problem with storage cost upper limitation on bipartite graph. The authors prove that its feasible solution corresponds to that of transportation problem uniquely, the basic feasible solution of transportation problem corresponds to its basic solution, and the optimal solution of transportation problem is one of its optimal solutions. Then we revise the transportation cost of the edge with longer transportation time into /spl infin/ continuously, and get its optimal solution by solving the transportation problem. Finally, the authors present an example to show that the algorithm runs easily and quickly.