{"title":"连续和约束优化问题的整体规定分析","authors":"D. Bertsimas, O. Skali Lami","doi":"10.1287/ijoo.2022.0080","DOIUrl":null,"url":null,"abstract":"We present a holistic framework for prescriptive analytics. Given side data x, decisions z, and uncertain quantities y that are functions of x and z, we propose a framework that simultaneously predicts y and prescribes the “should be” optimal decisions [Formula: see text]. The algorithm can accommodate a large number of predictive machine learning models as well as continuous and discrete decisions of high cardinality. It also allows for constraints on these decision variables. We show wide applicability and strong computational performances on synthetic experiments and on two real-world case studies.","PeriodicalId":73382,"journal":{"name":"INFORMS journal on optimization","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Holistic Prescriptive Analytics for Continuous and Constrained Optimization Problems\",\"authors\":\"D. Bertsimas, O. Skali Lami\",\"doi\":\"10.1287/ijoo.2022.0080\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a holistic framework for prescriptive analytics. Given side data x, decisions z, and uncertain quantities y that are functions of x and z, we propose a framework that simultaneously predicts y and prescribes the “should be” optimal decisions [Formula: see text]. The algorithm can accommodate a large number of predictive machine learning models as well as continuous and discrete decisions of high cardinality. It also allows for constraints on these decision variables. We show wide applicability and strong computational performances on synthetic experiments and on two real-world case studies.\",\"PeriodicalId\":73382,\"journal\":{\"name\":\"INFORMS journal on optimization\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"INFORMS journal on optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1287/ijoo.2022.0080\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"INFORMS journal on optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1287/ijoo.2022.0080","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Holistic Prescriptive Analytics for Continuous and Constrained Optimization Problems
We present a holistic framework for prescriptive analytics. Given side data x, decisions z, and uncertain quantities y that are functions of x and z, we propose a framework that simultaneously predicts y and prescribes the “should be” optimal decisions [Formula: see text]. The algorithm can accommodate a large number of predictive machine learning models as well as continuous and discrete decisions of high cardinality. It also allows for constraints on these decision variables. We show wide applicability and strong computational performances on synthetic experiments and on two real-world case studies.