1. Solution strategy for bi-level nonlinear programming problem based on hierarchical particle swarm optimization.
- Author
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LI Chang-bing, DU Mao-kang, and FU De-qiang
- Subjects
- *
PARTICLE swarm optimization , *NONLINEAR programming , *COMPUTER algorithms , *MATHEMATICAL optimization , *SWARM intelligence - Abstract
Many decision-making problems in traffic and logistics network system planning can be formulated as bilevel programming models, which are intrinsically nonconvex and existing algorithms are either difficult to obtain the global optimal solution or to solve large scale problems with the complexity and efficiency issues. In this paper, based on the idea of evolution game and multi-objective optimization nondominated sort, a hierarchical particle swarm algorithm for the model has been designed, by the interaction of two particle swarm algorithm iterations to simulate the interaction between policy-makers during the gmne searching, and to obtain the optimal solution of bilevel programming problems, in order to maximize the interests of all parties. Finally, the application of the model and its algorithm are illustrated with test function. [ABSTRACT FROM AUTHOR]
- Published
- 2013