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

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...

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Vydáno v:2010 IEEE International Conference on Industrial Engineering and Engineering Management s. 2110 - 2115
Hlavní autoři: Maali, Yashar, Mahdavi-Amiri, Nezam
Médium: Konferenční příspěvek
Jazyk:angličtina
Vydáno: IEEE 01.12.2010
Témata:
Computational modeling
Decision making
Delta modulation
Fuzzy sets
Linear programming
Mathematical model
multi objective programming
Pareto optimal solution
Programming
weighted aggregation
weighted maxmin
ISBN:9781424485017, 1424485010
ISSN:2157-3611
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Shrnutí: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.
ISBN:9781424485017
1424485010
ISSN:2157-3611
DOI:10.1109/IEEM.2010.5674619