WELL-DISPERSED SUBSETS OF NON-DOMINATED SOLUTIONS FOR MOMILP ‎PROBLEM

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RAZAVYAN SH.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:3 Page(s): 239-246

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Information Journal Paper

Title

WELL-DISPERSED SUBSETS OF NON-DOMINATED SOLUTIONS FOR MOMILP ‎PROBLEM

Author(s)

RAZAVYAN SH. | Issue Writer Certificate

Keywords

MULTI-OBJECTIVE MIXED INTEGER LINEAR PROGRAMMINGQ2

EFFICIENT SOLUTIONSQ2

WELL-DISPERSED SUBSET NON-DOMINATED SOLUTIONSQ2

L1-NORM‎Q2

Abstract

This paper uses the weighted L1-norm to propose an algorithm for finding a well-dispersed subset of non-dominated solutions of multiple objective mixed integer linear programming problem. When all variables are integer it finds the whole set of EFFICIENT SOLUTIONS. In each iteration of the proposed method only a mixed integer linear programming problem is solved and its optimal solutions generates the elements of the WELL-DISPERSED SUBSET NON-DOMINATED SOLUTIONS (WDSNDSs) of MOMILP. According to the distance of non-dominated solutions from the ideal point the elements of the WDSNDSs are ranked, hence it does not need the filtering procedures. Using suitable values for the parameter of the proposed model an appropriate WDSNDSs by less computational efforts can be generated. Two numerical examples present to illustrate the applicability of the proposed method and compare it with earlier ‎work.‎

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References

NUMERICAL SOLUTIONS OF FUZZY DIFFERENTIAL EQUATIONS BY TAYLOR METHOD

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APA: Copy

RAZAVYAN, SH.. (2015). WELL-DISPERSED SUBSETS OF NON-DOMINATED SOLUTIONS FOR MOMILP ‎PROBLEM. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(3), 239-246. SID. https://sid.ir/paper/231762/en

Vancouver: Copy

RAZAVYAN SH.. WELL-DISPERSED SUBSETS OF NON-DOMINATED SOLUTIONS FOR MOMILP ‎PROBLEM. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(3):239-246. Available from: https://sid.ir/paper/231762/en

IEEE: Copy

SH. RAZAVYAN, “WELL-DISPERSED SUBSETS OF NON-DOMINATED SOLUTIONS FOR MOMILP ‎PROBLEM,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 3, pp. 239–246, 2015, [Online]. Available: https://sid.ir/paper/231762/en

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