Optimization
A graph-constructive approach to solving systems of geometric constraints
ACM Transactions on Graphics (TOG)
Optimization Software Guide
The random facet simplex algorithm on combinatorial cubes
Random Structures & Algorithms - Probabilistic methods in combinatorial optimization
Solving Geometric Constraints By Homotopy
IEEE Transactions on Visualization and Computer Graphics
Evolutionary Optimization Versus Particle Swarm Optimization: Philosophy and Performance Differences
EP '98 Proceedings of the 7th International Conference on Evolutionary Programming VII
Dissipative particle swarm optimization
CEC '02 Proceedings of the Evolutionary Computation on 2002. CEC '02. Proceedings of the 2002 Congress - Volume 02
An effective hybrid optimization approach for multi-objective flexible job-shop scheduling problems
Computers and Industrial Engineering
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We propose a hybrid algorithm - (Parallel Search Algorithm) between PSO and simplex methods to approximate optimal solution for the Geometric Constraint problems. Locally, simplex is extended to reduce the number of infeasible solutions while solution quality is improved with an operation order search. Globally, PSO is employed to gain parallelization while solution diversity is maintained. Performance results on Geometric Constraint problems show that Parallel Search Algorithm outperforms existing techniques.