A linearized approach for solving differentiable vector optimization problems with vanishing constraints

Author:

Antczak Tadeusz1ORCID

Affiliation:

1. Faculty of Mathematics and Computer Science University of Lodz Lodz Poland

Abstract

In this paper, two mathematical methods are used for solving a complex multicriteria optimization problem as the considered convex differentiable vector optimization problem with vanishing constraints. First of them is the linearized approach in which, for the original vector optimization problem with vanishing constraints, its associated multiobjective programming problem is constructed at the given feasible solution. Since the aforesaid multiobjective programming problem constructed in the linearized method is linear, one of the existing methods for solving linear vector optimization problems is applied for solving it. Thus, the procedure for solving the considered differentiable vector optimization problems with vanishing constraints is presented in the paper.

Publisher

Wiley

Subject

General Engineering,General Mathematics

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