{"title":"最优切换问题的算法解","authors":"Juri Hinz, Jeremy Yee","doi":"10.1109/SMRLO.2016.102","DOIUrl":null,"url":null,"abstract":"In practice, optimal control problems of stochastic switching are notoriously challenging from a computational viewpoint, since typical real-world applications are high dimensional. In this approach, we suggest an algorithmic solution which is based on some convexity assumptions frequently fulfilled in applications. Furthermore, we show how the quality of numerical solution can be assessed. An efficient implementation of our algorithms is discussed.","PeriodicalId":254910,"journal":{"name":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Algorithmic Solutions for Optimal Switching Problems\",\"authors\":\"Juri Hinz, Jeremy Yee\",\"doi\":\"10.1109/SMRLO.2016.102\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In practice, optimal control problems of stochastic switching are notoriously challenging from a computational viewpoint, since typical real-world applications are high dimensional. In this approach, we suggest an algorithmic solution which is based on some convexity assumptions frequently fulfilled in applications. Furthermore, we show how the quality of numerical solution can be assessed. An efficient implementation of our algorithms is discussed.\",\"PeriodicalId\":254910,\"journal\":{\"name\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"volume\":\"32 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SMRLO.2016.102\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 Second International Symposium on Stochastic Models in Reliability Engineering, Life Science and Operations Management (SMRLO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SMRLO.2016.102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Algorithmic Solutions for Optimal Switching Problems
In practice, optimal control problems of stochastic switching are notoriously challenging from a computational viewpoint, since typical real-world applications are high dimensional. In this approach, we suggest an algorithmic solution which is based on some convexity assumptions frequently fulfilled in applications. Furthermore, we show how the quality of numerical solution can be assessed. An efficient implementation of our algorithms is discussed.