Logarithmic penalty function method for invex multi-objective fractional programming problems

Norm–Based Approximation in Invex Multi- Objective Programming Problems

This paper addresses the problem of capturing nondominated points on convex Pareto frontiers, which are encountered in invex multi-objective programming problems. An algorithm to find a piecewise linear approximation of the nondominated set of convex Pareto frontier are applied. Index Term-Approximation, Nondominated points, Invex multi-objective problems, Block norms.

The l1 exact G-penalty function method and G-invex mathematical programming problems

A Penalty Function Algorithm with Objective Parameters and Constraint Penalty Parameter for Multi-Objective Programming

In this paper, we present an algorithm to solve the inequality constrained multi-objective programming (MP) by using a penalty function with objective parameters and constraint penalty parameter. First, the penalty function with objective parameters and constraint penalty parameter for MP and the corresponding unconstraint penalty optimization problem (UPOP) is defined. Under some conditions, a...

An objective penalty function method for nonlinear programming

K e y w o r d s N o n l i n e a r programming, Exact penalty function, Objective penalty function. 1. I N T R O D U C T I O N The problem we consider in this paper is as follows: f0(x), s.t. k ( a ) < 0, i E I = { 1 , 2 , . . . , m } , (P) The authors would like to thank anonymous referees' comments and remarks that help us to improve the presentation of this paper considerably. This research w...

Integrating Goal Programming, Taylor Series, Kuhn-Tucker Conditions, and Penalty Function Approaches to Solve Linear Fractional Bi-level Programming Problems

In this paper, we integrate goal programming (GP), Taylor Series, Kuhn-Tucker conditions and Penalty Function approaches to solve linear fractional bi-level programming (LFBLP)problems. As we know, the Taylor Series is having the property of transforming fractional functions to a polynomial. In the present article by Taylor Series we obtain polynomial objective functions which are equivalent...