Journal Article

·2017 OPEN ACCESS

An Alternative Approach to the Solution of Multi-Objective Geometric Programming Problems

Ersoy Öz YTU , Nuran Güzel YTU , Selçuk Alp YTU

Open Journal of Optimization

Abstract

The aim of this study is to present an alternative approach for solving the multi-objective posynomial geometric programming problems. The proposed approach minimizes the weighted objective function comes from multi-objective geometric programming problem subject to constraints which constructed by using Kuhn-Tucker Conditions. A new nonlinear problem formed by this approach is solved iteratively. The solution of this approach gives the Pareto optimal solution for the multi-objective posynomial geometric programming problem. To demonstrate the performance of this approach, a problem which was solved with a weighted mean method by Ojha and Biswal (2010) is used. The comparison of solutions between two methods shows that similar results are obtained. In this manner, the proposed approach can be used as an alternative of weighted mean method.

Keywords

Geometric programming Mathematical optimization Nonlinear programming Mathematics Pareto optimal Computer science Geometric mean Pareto principle Nonlinear system Multi-objective optimization

Subject Areas

Optimization and Mathematical Programming ·Control and Systems Engineering ·Physical Sciences
Advanced Optimization Algorithms Research ·Numerical Analysis ·Physical Sciences
Optimization and Variational Analysis ·Computational Theory and Mathematics ·Physical Sciences

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