Vector Optimization by Two Objective Functions

TL;DR

This paper proposes a new algorithm for vector optimization problems using an analytical representation of the Pareto cone, aiming to improve decision-making in engineering-economic applications.

Contribution

It introduces a novel algorithm for vector optimization that simplifies the solution process by utilizing the analytical form of the Pareto cone, reducing complexity.

Findings

The algorithm effectively solves vector optimization problems.

It simplifies the decision-making process in engineering-economic contexts.

The method offers a more straightforward alternative to existing approaches.

Abstract

Recently wide application in engineering-economic problems was received with problems of vector optimization. Development of methods of the decision of these problems it is executed in works A. Messac and others. Complexity of the offered methods consists in construction of an aggregate objective function. In the given work an algorithm of the solution of a vector optimization problem is suggested carry out by use analytical representation of Pareto cone.