Constrained Real-Parameter Optimization with Generalized Differential Evolution

This paper presents results for the CEC 2006 Special Session on Constrained Real-Parameter Optimization where the Generalized Differential Evolution (GDE) has been used to solve given test problems. The given problems consist of 24 problems having one objective function and one or more in-/equality constraints. Almost all the problems were solvable in a given maximum number of solution candidate evaluations. The paper also shows how GDE actually needs lower number of function evaluations than usually required.

[1]  Riccardo Poli,et al.  New ideas in optimization , 1999 .

[2]  Jouni Lampinen,et al.  COMPARISON OF GENERALIZED DIFFERENTIAL EVOLUTION TO OTHER MULTI-OBJECTIVE EVOLUTIONARY ALGORITHMS , 2004 .

[3]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[4]  J. Lampinen A constraint handling approach for the differential evolution algorithm , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[5]  Jing J. Liang,et al.  Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Optimization , 2005 .

[6]  Jouni Lampinen,et al.  An Extension of Generalized Differential Evolution for Multi-objective Optimization with Constraints , 2004, PPSN.

[7]  Jouni Lampinen,et al.  DE’s Selection Rule for Multiobjective Optimization , 2001 .

[8]  J. Lampinen Multi-Constrained Nonlinear Optimization by the Differential Evolution Algorithm , 2002 .

[9]  Jing J. Liang,et al.  Problem Deflnitions and Evaluation Criteria for the CEC 2006 Special Session on Constrained Real-Parameter Optimization , 2006 .

[10]  Jouni Lampinen,et al.  GDE3: the third evolution step of generalized differential evolution , 2005, 2005 IEEE Congress on Evolutionary Computation.

[11]  Saku Kukkonen,et al.  Real-parameter optimization with differential evolution , 2005, 2005 IEEE Congress on Evolutionary Computation.

[12]  Stefan Janaqi,et al.  New Strategies in Differential Evolution , 2004 .

[13]  A. Kai Qin,et al.  Self-adaptive Differential Evolution Algorithm for Constrained Real-Parameter Optimization , 2006, 2006 IEEE International Conference on Evolutionary Computation.

[14]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .