{"title":"利用拉格朗日松弛法研究了MIP期权值的界","authors":"F. Zhou","doi":"10.1109/AIMSEC.2011.6009912","DOIUrl":null,"url":null,"abstract":"according to study the a Maximal Lifetime with Constrained Energy problem (MLCE)in a sensors net, we discuss the bound of the option value of mix integer program (MIP). Since the Maximun of the MIP is NP complete problem, so the exact solution can not be obtained, but the bound of the option value is exist. This paper use Lagrangian relaxation method to derive theoretical upper bound on the optimal value of the MIP problem.","PeriodicalId":214011,"journal":{"name":"2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC)","volume":"186 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Research the bound of the option value of MIP by Lagrangian relaxation\",\"authors\":\"F. Zhou\",\"doi\":\"10.1109/AIMSEC.2011.6009912\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"according to study the a Maximal Lifetime with Constrained Energy problem (MLCE)in a sensors net, we discuss the bound of the option value of mix integer program (MIP). Since the Maximun of the MIP is NP complete problem, so the exact solution can not be obtained, but the bound of the option value is exist. This paper use Lagrangian relaxation method to derive theoretical upper bound on the optimal value of the MIP problem.\",\"PeriodicalId\":214011,\"journal\":{\"name\":\"2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC)\",\"volume\":\"186 \",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AIMSEC.2011.6009912\",\"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 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AIMSEC.2011.6009912","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Research the bound of the option value of MIP by Lagrangian relaxation
according to study the a Maximal Lifetime with Constrained Energy problem (MLCE)in a sensors net, we discuss the bound of the option value of mix integer program (MIP). Since the Maximun of the MIP is NP complete problem, so the exact solution can not be obtained, but the bound of the option value is exist. This paper use Lagrangian relaxation method to derive theoretical upper bound on the optimal value of the MIP problem.