Two stochastic optimization algorithms applied to nuclear reactor core design

Two stochastic optimization algorithms conceptually similar to Simulated Annealing are presented and applied to a core design optimization problem previously solved with Genetic Algorithms. The two algorithms are the novel Particle Collision Algorithm (PCA), which is introduced in detail, and Dueck's Great Deluge Algorithm (GDA). The optimization problem consists in adjusting several reactor cell parameters, such as dimensions, enrichment and materials, in order to minimize the average peak factor in a three-enrichment-zone reactor, considering restrictions on the average thermal flux, criticality and sub-moderation. Results show that the PCA and the GDA perform very well compared to the canonical Genetic Algorithm and its variants, and also to Simulated Annealing, hence demonstrating their potential for other optimization applications.

[1]  J. E. Suich,et al.  THE HAMMER SYSTEM: HETEROGENEOUS ANALYSIS BY MULTIGROUP METHODS OF EXPONENTIALS AND REACTORS. , 1967 .

[2]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[3]  Erick Cantú-Paz,et al.  Efficient and Accurate Parallel Genetic Algorithms , 2000, Genetic Algorithms and Evolutionary Computation.

[4]  D. E. Goldberg,et al.  Genetic Algorithms in Search , 1989 .

[5]  G. Dueck New optimization heuristics , 1993 .

[6]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[7]  Kenneth Alan De Jong,et al.  An analysis of the behavior of a class of genetic adaptive systems. , 1975 .

[8]  Cassiano R. E. de Oliveira,et al.  A new stochastic optimization algorithm based on particle collisions , 2005 .

[9]  Jeffery Lewins,et al.  Advances in Nuclear Science and Technology , 1983 .

[10]  Celso Marcelo Franklin Lapa,et al.  Coarse-grained parallel genetic algorithm applied to a nuclear reactor core design optimization problem , 2003 .

[11]  Roberto Schirru,et al.  Basic investigations related to genetic algorithms in core designs , 1999 .

[12]  Ehl Emile Aarts,et al.  Simulated annealing and Boltzmann machines , 2003 .

[13]  James C. Bezdek,et al.  Pattern Recognition with Fuzzy Objective Function Algorithms , 1981, Advanced Applications in Pattern Recognition.

[14]  John J. Grefenstette,et al.  Genetic algorithms and their applications , 1987 .

[15]  K. Dejong,et al.  An analysis of the behavior of a class of genetic adaptive systems , 1975 .

[16]  Wagner F. Sacco,et al.  The fuzzy clearing approach for a niching genetic algorithm applied to a nuclear reactor core design optimization problem , 2004 .

[17]  J. Duderstadt,et al.  Nuclear reactor analysis , 1976 .

[18]  D. E. Goldberg,et al.  Genetic Algorithms in Search, Optimization & Machine Learning , 1989 .

[19]  Geoffrey T. Parks,et al.  Optimizing PWR Reload Core Designs , 1992, PPSN.

[20]  Samir W. Mahfoud Niching methods for genetic algorithms , 1996 .

[21]  H. H. Rosenbrock,et al.  An Automatic Method for Finding the Greatest or Least Value of a Function , 1960, Comput. J..

[22]  James E. Baker,et al.  Reducing Bias and Inefficienry in the Selection Algorithm , 1987, ICGA.

[23]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[24]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.