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

Yashar Maali; Nezam Mahdavi-Amiri

doi:10.1109/IEEM.2010.5674619

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

Yashar Maali, Nezam Mahdavi-Amiri

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

1 Citation (Scopus)

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.

Original language	English
Title of host publication	IEEM2010
Subtitle of host publication	IEEE International Conference on Industrial Engineering and Engineering Management : proceedings
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	2110-2115
Number of pages	6
ISBN (Print)	9781424485031
DOIs	https://doi.org/10.1109/IEEM.2010.5674619
Publication status	Published - 2010
Externally published	Yes
Event	IEEE International Conference on Industrial Engineering and Engineering Management - Macao Duration: 7 Dec 2010 → 10 Dec 2010

Conference

Conference	IEEE International Conference on Industrial Engineering and Engineering Management
City	Macao
Period	7/12/10 → 10/12/10

Keywords

multi objective programming
pareto optimal solution
weighted aggregation
weighted maxmin

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10.1109/IEEM.2010.5674619

Cite this

Maali, Y., & Mahdavi-Amiri, N. (2010). A weighting scheme and a model for computing alternative pareto optimal solutions of multi objective linear programming problems. In IEEM2010: IEEE International Conference on Industrial Engineering and Engineering Management : proceedings (pp. 2110-2115). Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/IEEM.2010.5674619

Maali, Yashar ; Mahdavi-Amiri, Nezam. / A weighting scheme and a model for computing alternative pareto optimal solutions of multi objective linear programming problems. IEEM2010: IEEE International Conference on Industrial Engineering and Engineering Management : proceedings. Piscataway, NJ : Institute of Electrical and Electronics Engineers (IEEE), 2010. pp. 2110-2115

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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 = "multi objective programming, pareto optimal solution, weighted aggregation, weighted maxmin",

author = "Yashar Maali and Nezam Mahdavi-Amiri",

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pages = "2110--2115",

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Maali, Y & Mahdavi-Amiri, N 2010, A weighting scheme and a model for computing alternative pareto optimal solutions of multi objective linear programming problems. in IEEM2010: IEEE International Conference on Industrial Engineering and Engineering Management : proceedings. Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 2110-2115, IEEE International Conference on Industrial Engineering and Engineering Management, Macao, 7/12/10. https://doi.org/10.1109/IEEM.2010.5674619

A weighting scheme and a model for computing alternative pareto optimal solutions of multi objective linear programming problems. / Maali, Yashar; Mahdavi-Amiri, Nezam.
IEEM2010: IEEE International Conference on Industrial Engineering and Engineering Management : proceedings. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2010. p. 2110-2115.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AU - Maali, Yashar

AU - Mahdavi-Amiri, Nezam

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - multi objective programming

KW - pareto optimal solution

KW - weighted aggregation

KW - weighted maxmin

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DO - 10.1109/IEEM.2010.5674619

M3 - Conference proceeding contribution

SN - 9781424485031

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EP - 2115

BT - IEEM2010

PB - Institute of Electrical and Electronics Engineers (IEEE)

CY - Piscataway, NJ

T2 - IEEE International Conference on Industrial Engineering and Engineering Management

Y2 - 7 December 2010 through 10 December 2010

ER -

Maali Y, Mahdavi-Amiri N. A weighting scheme and a model for computing alternative pareto optimal solutions of multi objective linear programming problems. In IEEM2010: IEEE International Conference on Industrial Engineering and Engineering Management : proceedings. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2010. p. 2110-2115 doi: 10.1109/IEEM.2010.5674619

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

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