Approximate Evolution Strategy using Stochastic Ranking

The paper describes the approximation of an evolution strategy using stochastic ranking for nonlinear programming. The aim of the approximation is to reduce the number of function evaluations needed during search. This is achieved using two surrogate models, one for the objective function and another for a penalty function based on the constraint violations. The proposed method uses a sequential technique for updating these models. At each generation the surrogate models are updated and at least one expensive model evaluation is performed. The technique is evaluated for some twenty-four benchmark problems.

[1]  Xin Yao,et al.  Stochastic ranking for constrained evolutionary optimization , 2000, IEEE Trans. Evol. Comput..

[2]  Thomas Philip Runarsson,et al.  Constrained Evolutionary Optimization by Approximate Ranking and Surrogate Models , 2004, PPSN.

[3]  Timothy W. Simpson,et al.  On the Use of Statistics in Design and the Implications for Deterministic Computer Experiments , 1997 .

[4]  J. -F. M. Barthelemy,et al.  Approximation concepts for optimum structural design — a review , 1993 .

[5]  Xin Yao,et al.  Search biases in constrained evolutionary optimization , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).

[6]  David H. Wolpert,et al.  No free lunch theorems for optimization , 1997, IEEE Trans. Evol. Comput..

[7]  Xinglai Ji,et al.  libSRES: a C library for stochastic ranking evolution strategy for parameter estimation , 2006, Bioinform..

[8]  A. Patera,et al.  ICASE Report No . 93-50 191510 IC S 2 O Years ofExcellence SURROGATES FOR NUMERICAL SIMULATIONS ; OPTIMIZATION OF EDDY-PROMOTER HEAT EXCHANGERS , 1993 .

[9]  James McNames,et al.  A Fast Nearest-Neighbor Algorithm Based on a Principal Axis Search Tree , 2001, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Julio R. Banga,et al.  Solving nonconvex climate control problems: pitfalls and algorithm performances , 2004, Appl. Soft Comput..

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

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

[13]  Yaochu Jin,et al.  A comprehensive survey of fitness approximation in evolutionary computation , 2005, Soft Comput..

[14]  Carmen G. Moles,et al.  Parameter estimation in biochemical pathways: a comparison of global optimization methods. , 2003, Genome research.

[15]  Bernhard Sendhoff,et al.  A framework for evolutionary optimization with approximate fitness functions , 2002, IEEE Trans. Evol. Comput..