{"title":"混合分布权重的背包问题","authors":"N. Akpan, E. Etuk","doi":"10.5251/AJSIR.2011.2.6.865.870","DOIUrl":null,"url":null,"abstract":"In this paper we present a knapsack problem whose weight parameter is a mixture of two known distributions (Exponential and Gamma). This problem gives room for the overflowed items which perhaps will help in minimizing the penalty due to the loss of goodwill. An algebraic model is proposed for solving the problem. The behaviors of the mixture of these two distributions are also presented graphically.","PeriodicalId":7661,"journal":{"name":"American Journal of Scientific and Industrial Research","volume":"359 1","pages":"865-870"},"PeriodicalIF":0.0000,"publicationDate":"2011-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A knapsack problem with mixed distributional weight\",\"authors\":\"N. Akpan, E. Etuk\",\"doi\":\"10.5251/AJSIR.2011.2.6.865.870\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present a knapsack problem whose weight parameter is a mixture of two known distributions (Exponential and Gamma). This problem gives room for the overflowed items which perhaps will help in minimizing the penalty due to the loss of goodwill. An algebraic model is proposed for solving the problem. The behaviors of the mixture of these two distributions are also presented graphically.\",\"PeriodicalId\":7661,\"journal\":{\"name\":\"American Journal of Scientific and Industrial Research\",\"volume\":\"359 1\",\"pages\":\"865-870\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Journal of Scientific and Industrial Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5251/AJSIR.2011.2.6.865.870\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Scientific and Industrial Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5251/AJSIR.2011.2.6.865.870","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A knapsack problem with mixed distributional weight
In this paper we present a knapsack problem whose weight parameter is a mixture of two known distributions (Exponential and Gamma). This problem gives room for the overflowed items which perhaps will help in minimizing the penalty due to the loss of goodwill. An algebraic model is proposed for solving the problem. The behaviors of the mixture of these two distributions are also presented graphically.
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