COMPUTING THE PARETO FRONTIER OF A LINEAR MULTI OBJECTIVE BI-LEVEL MODEL

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MEHRABANI ABBAS; Sadeghi Habibe

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Journal: ADVANCES IN MATHEMATICAL MODELING Year:2016 | Volume:5 | Issue:2 Page(s): 25-45

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Information Journal Paper

Title

COMPUTING THE PARETO FRONTIER OF A LINEAR MULTI OBJECTIVE BI-LEVEL MODEL

Author(s)

MEHRABANI ABBAS | Sadeghi Habibe | Issue Writer Certificate

Keywords

BILEVEL PROGRAMMINGQ2

MULTI OBJECTIVE PROGRAMMINGQ1

PARETO FRONTIERQ2

MIXEDQ2

INTEGER PROGRAMMINGQ2

FRACTIONAL PROGRAMMINGQ2

Abstract

BILEVEL PROGRAMMING is the model for hierarchical optimization problems in which there are two decision makers that have different objective functions, variables and constraints. Alves et al in [1], proposed a method for computing the PARETO FRONTIER of bilevel linear problem with biobjective at the upper level and a single objective function at the lower level. In this paper, we extend their method for the situation in which there exists more than two objective function at both levels, and then by using a suitable exchange variable, we proposed a new method for computing the PARETO FRONTIER of bilevel linear problem with fractional multi-objective at the upper level. Finally we will show the efficiency of the propsed approaches by solving a few numerical examples and comparing the results with other methods.

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APA: Copy

MEHRABANI, ABBAS, & Sadeghi, Habibe. (2016). COMPUTING THE PARETO FRONTIER OF A LINEAR MULTI OBJECTIVE BI-LEVEL MODEL. ADVANCES IN MATHEMATICAL MODELING, 5(2), 25-45. SID. https://sid.ir/paper/243923/en

Vancouver: Copy

MEHRABANI ABBAS, Sadeghi Habibe. COMPUTING THE PARETO FRONTIER OF A LINEAR MULTI OBJECTIVE BI-LEVEL MODEL. ADVANCES IN MATHEMATICAL MODELING[Internet]. 2016;5(2):25-45. Available from: https://sid.ir/paper/243923/en

IEEE: Copy

ABBAS MEHRABANI, and Habibe Sadeghi, “COMPUTING THE PARETO FRONTIER OF A LINEAR MULTI OBJECTIVE BI-LEVEL MODEL,” ADVANCES IN MATHEMATICAL MODELING, vol. 5, no. 2, pp. 25–45, 2016, [Online]. Available: https://sid.ir/paper/243923/en

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