Parametric approach for multi-objective enhanced interval linear fractional programming problem

被引:2
作者
Patel, Mridul [1 ]
Behera, Jyotirmayee [1 ]
Kumar, Pankaj [1 ]
机构
[1] SRM Inst Sci & Technol, Dept Math, Chennai, India
关键词
Fractional programming; interval optimization; multi-objective optimization problem; linear programming problem; interval analysis; POWER LOSS MINIMIZATION; DISTRIBUTION NETWORK RECONFIGURATION; RADIAL-DISTRIBUTION SYSTEMS; OPTIMAL PLACEMENT; LOSS REDUCTION; DG ALLOCATION; CAPACITOR PLACEMENT; MULTIPLE DGS; ALGORITHM; SEARCH;
D O I
10.1080/0305215X.2023.2195645
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The design (decision) variables in the presented article of a multi-objective interval fractional optimization problem based on a linear function are assumed to take the form of a closed interval using the concept of the parametric form of an interval. The original problem is initially changed into equivalent multi-objective interval linear programming with the design variables as closed intervals. Further, it is made free from interval uncertainty by changing into a classical single-objective problem using the weighted-sum method. The solutions of the model are theoretically justified by its existence. Finally, a numerical example and a case study on the agricultural planting structure optimization problem with hypothetical data are presented to support the recommended technique for the model.
引用
收藏
页码:740 / 765
页数:26
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