The modified objective-constraint scalarization approach for multiobjective optimization problems

Year 2022, Volume: 51 Issue: 5, 1403 - 1418, 01.10.2022

Narges Hoseinpoor Mehrdad Ghaznavi

https://doi.org/10.15672/hujms.930601

Cited By: 3

Abstract

In this article, a novel scalarization methodology, called the modified objective-constraint technique, is proposed for determining efficient solutions a given multiobjective programming problem. The suggested scalarized problem extends some existing problems. It is shown that how adding slack variables to the constraints, can help us to find easily checked conditions concerning (weak, proper) Pareto optimality. By applying the suggested problem, we generate an almost even approximation of the efficient front. The performance and capability of the developed approach are demonstrated in test problems containing disconnected or nonconvex fronts and feasible points. In particular, we apply the suggested approach in an engineering design problem with two objective functions.

Keywords

multiobjective optimization, objective-constraint scalarization, Pareto optimality, proper efficiency

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