{"title":"求解多目标线性规划问题的一种新的变换技术","authors":"Zhian Mahmood, N. Sulaiman","doi":"10.31972/ticma22.15","DOIUrl":null,"url":null,"abstract":"In this paper Standard Error of Mean (SEM), as a new technique, is used for transforming multi-objective linear programming problems (MOLPPs) to the single objective linear programming problems (SOLPPs). To this end, an algorithm has been proposed and suggested to solve MOLPPs, which have been tested through numerical examples by employing Excel Solver. However, the study compares the results of other techniques like (Chandra Sen, Optimal Average of Minimax and Maximin, New Arithmetic Average, New Geometric Average, New Harmonic Average, and Advanced Transformation) with the results of this new technique SEM. The numerical results indicate that a new technique in general is promising.","PeriodicalId":269628,"journal":{"name":"Proceeding of 3rd International Conference of Mathematics and its Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A New Transformation Technique to Solve Multi-Objective Linear Programming Problems\",\"authors\":\"Zhian Mahmood, N. Sulaiman\",\"doi\":\"10.31972/ticma22.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper Standard Error of Mean (SEM), as a new technique, is used for transforming multi-objective linear programming problems (MOLPPs) to the single objective linear programming problems (SOLPPs). To this end, an algorithm has been proposed and suggested to solve MOLPPs, which have been tested through numerical examples by employing Excel Solver. However, the study compares the results of other techniques like (Chandra Sen, Optimal Average of Minimax and Maximin, New Arithmetic Average, New Geometric Average, New Harmonic Average, and Advanced Transformation) with the results of this new technique SEM. The numerical results indicate that a new technique in general is promising.\",\"PeriodicalId\":269628,\"journal\":{\"name\":\"Proceeding of 3rd International Conference of Mathematics and its Applications\",\"volume\":\"35 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding of 3rd International Conference of Mathematics and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31972/ticma22.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding of 3rd International Conference of Mathematics and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31972/ticma22.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文将均值标准误差(SEM)作为一种新技术,用于将多目标线性规划问题转化为单目标线性规划问题。为此,本文提出并建议了一种求解molpp的算法,并利用Excel求解器进行了数值算例验证。然而,该研究将其他技术的结果(如Chandra Sen, Minimax和Maximin的最优平均,新算术平均,新几何平均,新谐波平均和高级变换)与这种新技术SEM的结果进行了比较。数值结果表明,这是一种很有前途的新技术。
A New Transformation Technique to Solve Multi-Objective Linear Programming Problems
In this paper Standard Error of Mean (SEM), as a new technique, is used for transforming multi-objective linear programming problems (MOLPPs) to the single objective linear programming problems (SOLPPs). To this end, an algorithm has been proposed and suggested to solve MOLPPs, which have been tested through numerical examples by employing Excel Solver. However, the study compares the results of other techniques like (Chandra Sen, Optimal Average of Minimax and Maximin, New Arithmetic Average, New Geometric Average, New Harmonic Average, and Advanced Transformation) with the results of this new technique SEM. The numerical results indicate that a new technique in general is promising.