A weighting scheme and a model for computing alternative Pareto optimal solutions of multi objective linear programming problems

Author

Maali, Yashar ; Mahdavi-Amiri, Nezam

Author_Institution

Dept. of Eng., Univ. of Technol., Sydney, NSW, Australia

fYear

2010

fDate

7-10 Dec. 2010

Firstpage

2110

Lastpage

2115

Abstract

A new weighted order scheme is presented for finding alternative Pareto optimal solution of multi objective linear programming problems. In developing the weighted scheme, a big M model is proposed. We establish some properties of the ordering scheme and the proposed model and show how to determine proper values of the parameter M. Illustrative examples are worked out to show the effectiveness of the proposed approach and the competitiveness of the obtained solutions as compared to the ones obtained by the weighted maxmin and the weighted aggregation methods.

Keywords

Pareto optimisation; linear programming; minimax techniques; alternative Pareto optimal solutions; big M model; multiobjective linear programming; weighted aggregation method; weighted maxmin method; weighted order scheme; Computational modeling; Decision making; Delta modulation; Fuzzy sets; Linear programming; Mathematical model; Programming; Pareto optimal solution; multi objective programming; weighted aggregation; weighted maxmin;

fLanguage

English

Publisher

ieee

Conference_Titel

Industrial Engineering and Engineering Management (IEEM), 2010 IEEE International Conference on

Conference_Location

Macao

ISSN

2157-3611

Print_ISBN

978-1-4244-8501-7

Electronic_ISBN

2157-3611

Type

conf

DOI

10.1109/IEEM.2010.5674619

Filename

5674619