Junpeng Li , Guanghui Li , Wei Leng , Chongqi Zhang , Hongyu Su
{"title":"构建混合物实验的加权效率优化设计","authors":"Junpeng Li , Guanghui Li , Wei Leng , Chongqi Zhang , Hongyu Su","doi":"10.1016/j.spl.2024.110255","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents a weighted efficiency optimality criterion to obtain a compound optimal design that balances two different optimality objectives. An equivalence theorem and a search algorithm for a concave–concave combination of criteria for finding the weighted efficiency optimal design are given and applied to the Scheffé mixture model.</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167715224002244/pdfft?md5=e968c20ce5bde73ba02cd26a1bb2c451&pid=1-s2.0-S0167715224002244-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Construction of weighted efficiency optimal designs for experiments with mixtures\",\"authors\":\"Junpeng Li , Guanghui Li , Wei Leng , Chongqi Zhang , Hongyu Su\",\"doi\":\"10.1016/j.spl.2024.110255\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper presents a weighted efficiency optimality criterion to obtain a compound optimal design that balances two different optimality objectives. An equivalence theorem and a search algorithm for a concave–concave combination of criteria for finding the weighted efficiency optimal design are given and applied to the Scheffé mixture model.</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0167715224002244/pdfft?md5=e968c20ce5bde73ba02cd26a1bb2c451&pid=1-s2.0-S0167715224002244-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167715224002244\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167715224002244","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Construction of weighted efficiency optimal designs for experiments with mixtures
This paper presents a weighted efficiency optimality criterion to obtain a compound optimal design that balances two different optimality objectives. An equivalence theorem and a search algorithm for a concave–concave combination of criteria for finding the weighted efficiency optimal design are given and applied to the Scheffé mixture model.