A Hierarchical Pso Algorithm for Solving Linear Trilevel Programming Problems


Authors

Habibe Sadeghi - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran. Maryam Esmaeili - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.


Abstract

Trilevel programming deals with hierarchical optimization problems that in which the top-level, middle-level and bottom-level decision-makers attempt to optimize their individual objectives, but their decisions are affected by the optimal objective values presented at other levels. In this paper, we propose a hierarchical particle swarm optimization (PSO) method for solving linear trilevel programming problems (LTLPPs). The proposed method, solves the top-level, middle-level and bottom-level problems iteratively by three variants of PSO. Finally, we give some illustrative examples to show the efficiency of the proposed algorithm.


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ISRP Style

Habibe Sadeghi, Maryam Esmaeili, A Hierarchical Pso Algorithm for Solving Linear Trilevel Programming Problems, Journal of Mathematics and Computer Science, 11 (2014), no. 1, 79-85

AMA Style

Sadeghi Habibe, Esmaeili Maryam, A Hierarchical Pso Algorithm for Solving Linear Trilevel Programming Problems. J Math Comput SCI-JM. (2014); 11(1):79-85

Chicago/Turabian Style

Sadeghi, Habibe, Esmaeili, Maryam. "A Hierarchical Pso Algorithm for Solving Linear Trilevel Programming Problems." Journal of Mathematics and Computer Science, 11, no. 1 (2014): 79-85


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