Title
Combining TOPSIS and Particle Swarm Optimization for a Class of Nonlinear Bilevel Programming Problems
Abstract
Bilevel programming has a nested structure and widely used in many real-life problems. This paper addresses a kind of nonlinear bilevel programming, the lower level problem is transformed into a series of constraints for the upper level problem by KKT condition. In the transformed problem, the constraints are taken as an objective for the upper level, thus the nonlinear bilevel programming becomes an equivalent two-objective unconstrained optimization problem. To solve the equivalent problem, TOPSISP and particle swarm optimization are combined and then TOPSISPSO is proposed, computational results for two benchmarks are presented to show the effectiveness of the algorithm.
Year
DOI
Venue
2014
10.1109/CIS.2014.52
CIS
Keywords
Field
DocType
nonlinear bilevel programming, PSO, TOPSIS, KKT condition
Particle swarm optimization,Mathematical optimization,Bilevel optimization,Computer science,Nonlinear programming,Multi-swarm optimization,Linear programming,Artificial intelligence,Karush–Kuhn–Tucker conditions,Optimization problem,Machine learning,Metaheuristic
Conference
Citations 
PageRank 
References 
1
0.37
8
Authors
3
Name
Order
Citations
PageRank
Li-Ping Jia1547.81
Guocheng Zou231.69
Lei Fan3485.70