SOLVING BI-LEVEL INTEGER PROGRAMMING PROBLEMS WITH MULTIPLE LINEAR OBJECTIVES AT LOWER LEVEL BY USING PARTICLE SWARM OPTIMIZATION

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Faramarzi Akhtar; ZANGIABADI MARYAM; MANSOURI HOSSEIN

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

SOLVING BI-LEVEL INTEGER PROGRAMMING PROBLEMS WITH MULTIPLE LINEAR OBJECTIVES AT LOWER LEVEL BY USING PARTICLE SWARM OPTIMIZATION

Author(s)

Faramarzi Akhtar | ZANGIABADI MARYAM | MANSOURI HOSSEIN | Issue Writer Certificate

Keywords

BI-LEVEL OPTIMIZATION

MULTIOBJECTIVE OPTIMIZATION

PARTICLE SWARM OPTIMIZATION

Abstract

BILEVEL PROGRAMMING PROBLEMS ARE HIERARCHICAL OPTIMIZATION PROBLEMS THAT CONSIST OF THE OBJECTIVE OF THE LEADER AT ITS FIRST LEVEL AND THAT OF THE FOLLOWER AT THE SECOND LEVEL.IN THIS PAPER, WE PROPOSE A METHOD FOR SOLVING BI-LEVEL INTEGER PROGRAMMING PROBLEMS WITH MULTIPLE LINEAR OBJECTIVES AT LOWER LEVEL. WE BEGIN BY FINDING THE CONVEX HULL OF ITS ORIGINAL SET OF CONSTRAINTS USING THE CUTTING-PLANE ALGORITHM. THEN, WE APPLY PARTICLE SWARM OPTIMIZATION (PSO) ALGORITHM TO SOLVE THIS PROBLEM. A NUMERICAL EXAMPLE ILLUSTRATES THE PROPOSED METHOD.

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APA: Copy

Faramarzi, Akhtar, ZANGIABADI, MARYAM, & MANSOURI, HOSSEIN. (2015). SOLVING BI-LEVEL INTEGER PROGRAMMING PROBLEMS WITH MULTIPLE LINEAR OBJECTIVES AT LOWER LEVEL BY USING PARTICLE SWARM OPTIMIZATION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/921912/en

Vancouver: Copy

Faramarzi Akhtar, ZANGIABADI MARYAM, MANSOURI HOSSEIN. SOLVING BI-LEVEL INTEGER PROGRAMMING PROBLEMS WITH MULTIPLE LINEAR OBJECTIVES AT LOWER LEVEL BY USING PARTICLE SWARM OPTIMIZATION. 2015. Available from: https://sid.ir/paper/921912/en

IEEE: Copy

Akhtar Faramarzi, MARYAM ZANGIABADI, and HOSSEIN MANSOURI, “SOLVING BI-LEVEL INTEGER PROGRAMMING PROBLEMS WITH MULTIPLE LINEAR OBJECTIVES AT LOWER LEVEL BY USING PARTICLE SWARM OPTIMIZATION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/921912/en

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