TITLE:
An Objective Penalty Functions Algorithm for Multiobjective Optimization Problem
AUTHORS:
Zhiqing Meng, Rui Shen, Min Jiang
KEYWORDS:
Multiobjective Optimization Problem, Objective Penalty Function, Pareto Efficient Solution, Interactive Algorithm
JOURNAL NAME:
American Journal of Operations Research,
Vol.1 No.4,
December
5,
2011
ABSTRACT: By using the penalty function method with objective parameters, the paper presents an interactive algorithm to solve the inequality constrained multi-objective programming (MP). The MP is transformed into a single objective optimal problem (SOOP) with inequality constrains; and it is proved that, under some conditions, an optimal solution to SOOP is a Pareto efficient solution to MP. Then, an interactive algorithm of MP is designed accordingly. Numerical examples show that the algorithm can find a satisfactory solution to MP with objective weight value adjusted by decision maker.