A box-uncertainty in multi-objective optimization: an ε,-constraint approach

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Soleimani manesh Shima; Saraj Mansour; Moemeni Maryam; Alizadeh Mahmoud

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Journal Paper

Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2022 | Volume:8 | Issue:36 Page(s): 129-138

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Information Journal Paper

Title

A box-uncertainty in multi-objective optimization: an ε,-constraint approach

Author(s)

Soleimani manesh Shima | Saraj Mansour | Moemeni Maryam | Alizadeh Mahmoud | Issue Writer Certificate

Keywords

robust optimization

multi-objective programming

-constraint method

Linear Fractional Programming

Abstract

In the last few decades there has been lots of discussion in the literature regarding robust optimization. Since Epsilon constraint is one of the most important technique in interactive problems, therefore in this paper, due to the importance of robust optimization and multi-objective programming problems, we consider Multi-Objective Linear Fractional Programming (MOLFP) problem in the presence of box-uncertainty in the coefficients of the objective functions. We propose an approach based on ε,-constraint and Charnes-Cooper methods to obtain weakly robust efficient solutions, that have special importance in the literature, for a MOLFP problems in the presence of uncertain data. Charnes-cooper method is applied to reduce a fractional programm to a non fractional programm. At the end we write the robust counterpart of the UMOLFP model in the presence of the box-uncertainty and it's equivalent linear programming problem: Finally a numerical example is used to show the usefulness of the proposed approach.

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APA: Copy

Soleimani manesh, Shima, Saraj, Mansour, Moemeni, Maryam, & Alizadeh, Mahmoud. (2022). A box-uncertainty in multi-objective optimization: an ε,-constraint approach. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 8(36 ), 129-138. SID. https://sid.ir/paper/1064940/en

Vancouver: Copy

Soleimani manesh Shima, Saraj Mansour, Moemeni Maryam, Alizadeh Mahmoud. A box-uncertainty in multi-objective optimization: an ε,-constraint approach. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2022;8(36 ):129-138. Available from: https://sid.ir/paper/1064940/en

IEEE: Copy

Shima Soleimani manesh, Mansour Saraj, Maryam Moemeni, and Mahmoud Alizadeh, “A box-uncertainty in multi-objective optimization: an ε,-constraint approach,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 8, no. 36 , pp. 129–138, 2022, [Online]. Available: https://sid.ir/paper/1064940/en

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