{"title":"非光滑不可微分式规划中的Mond—Weir型对偶性","authors":"Yang Yong, Zaien Hou","doi":"10.1109/ICIC.2011.10","DOIUrl":null,"url":null,"abstract":"We have defined some kinds of generalized convex function in paper [1]. which generalize some of the present convex functions. In the framework of these new concepts, a Mond-Weir type dual for a class of fractional programming problem is considered. Appropriate duality results are formulated. The results obtained not only provide a measurement of sensitivity for given problems to perturbations, but also can be apply to the questions occur in resource allocation, stock cutting problem in paper industry, agricultural planning and portfolio selection etc.","PeriodicalId":6397,"journal":{"name":"2011 Fourth International Conference on Information and Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mond -- Weir Type Duality in Nonsmooth Nondifferentiable Fractional Programming\",\"authors\":\"Yang Yong, Zaien Hou\",\"doi\":\"10.1109/ICIC.2011.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We have defined some kinds of generalized convex function in paper [1]. which generalize some of the present convex functions. In the framework of these new concepts, a Mond-Weir type dual for a class of fractional programming problem is considered. Appropriate duality results are formulated. The results obtained not only provide a measurement of sensitivity for given problems to perturbations, but also can be apply to the questions occur in resource allocation, stock cutting problem in paper industry, agricultural planning and portfolio selection etc.\",\"PeriodicalId\":6397,\"journal\":{\"name\":\"2011 Fourth International Conference on Information and Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-04-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 Fourth International Conference on Information and Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICIC.2011.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 Fourth International Conference on Information and Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICIC.2011.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mond -- Weir Type Duality in Nonsmooth Nondifferentiable Fractional Programming
We have defined some kinds of generalized convex function in paper [1]. which generalize some of the present convex functions. In the framework of these new concepts, a Mond-Weir type dual for a class of fractional programming problem is considered. Appropriate duality results are formulated. The results obtained not only provide a measurement of sensitivity for given problems to perturbations, but also can be apply to the questions occur in resource allocation, stock cutting problem in paper industry, agricultural planning and portfolio selection etc.
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