The modified objective-constraint scalarization approach for multiobjective optimization problems

Authors : Narges HOSEİNPOOR, Mehrdad GHAZNAVİ

Pages : 1403-1418

Doi:10.15672/hujms.930601

View : 23 | Download : 6

Publication Date : 2022-10-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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