{"title":"求解h -可微区间优化问题的序列算法","authors":"Shaveta Kumari, S. Srivastava","doi":"10.1145/3474124.3474132","DOIUrl":null,"url":null,"abstract":"The purpose of the presented work is to develop a novel methodology to obtain efficient solutions to interval valued optimization problems in which the objective function satisfies second order modified gH-differentiability conditions. Modified gH-differentiability conditions have been proposed and analysed. The sequential algorithm to solve interval optimization problem is proposed. Convergence results are established. The proposed model has been illustrated through suitable examples.","PeriodicalId":144611,"journal":{"name":"2021 Thirteenth International Conference on Contemporary Computing (IC3-2021)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Sequential Algorithm to Solve gH-Differentiable Interval Optimization Problems\",\"authors\":\"Shaveta Kumari, S. Srivastava\",\"doi\":\"10.1145/3474124.3474132\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of the presented work is to develop a novel methodology to obtain efficient solutions to interval valued optimization problems in which the objective function satisfies second order modified gH-differentiability conditions. Modified gH-differentiability conditions have been proposed and analysed. The sequential algorithm to solve interval optimization problem is proposed. Convergence results are established. The proposed model has been illustrated through suitable examples.\",\"PeriodicalId\":144611,\"journal\":{\"name\":\"2021 Thirteenth International Conference on Contemporary Computing (IC3-2021)\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 Thirteenth International Conference on Contemporary Computing (IC3-2021)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3474124.3474132\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 Thirteenth International Conference on Contemporary Computing (IC3-2021)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3474124.3474132","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Sequential Algorithm to Solve gH-Differentiable Interval Optimization Problems
The purpose of the presented work is to develop a novel methodology to obtain efficient solutions to interval valued optimization problems in which the objective function satisfies second order modified gH-differentiability conditions. Modified gH-differentiability conditions have been proposed and analysed. The sequential algorithm to solve interval optimization problem is proposed. Convergence results are established. The proposed model has been illustrated through suitable examples.