Title
Lamarckism and mechanism synthesis: approaching constrained optimization with ideas from biology
Abstract
Nonlinear constrained optimization problems are encountered in many scientific fields. To utilize the huge calculation power of current computers, many mathematic models are also rebuilt as optimization problems. Most of them have constrained conditions which need to be handled. Borrowing biological concepts, a study is accomplished for dealing with the constraints in the synthesis of a four-bar mechanism. Biologically regarding the constrained condition as a form of selection for characteristics of a population, four new algorithms are proposed, and a new explanation is given for the penalty method. Using these algorithms, three cases are tested in differential-evolution based programs. Better, or comparable, results show that the presented algorithms and methodology may become common means for constraint handling in optimization problems.
Year
Venue
Keywords
2011
CoRR
evolutionary computing,penalty method,optimization problem,mathematical model,constrained optimization,differential evolution
Field
DocType
Volume
Derivative-free optimization,Mathematical optimization,Multi-objective optimization,Multi-swarm optimization,Engineering optimization,Optimization problem,Mathematics,Metaheuristic,Constrained optimization,Penalty method
Journal
abs/1109.6717
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Wei Zhang144072.00
Xudong Shi25310.22
Liwen Wang331.49