Application of Cuckoo Search algorithm to Loading Pattern Optimization problems

Abstract The Loading Pattern Optimization (LPO) is related to important goals in a Nuclear Power Plant (NPP) operation such as the extension of the cycle according to safety margins. The LPO is a combinatorial problem of relevance and interest for Nuclear Engineering. Optimization metaheuristics have been efficient in solving the LPO. The recent metaheuristic Cuckoo Search (CS) is based on the brood parasitism of some cuckoo species, combined with the behavior of the Levy flight of some birds. In the present work the results of the application of CS to the LPO using IAEA-3D and BIBLIS-2D benchmarks are presented, as well as the application of CS in the optimization of 7th cycle of Angra 1 NPP, in Brazil. The results are compared to the metaheuristics Artificial Bee Colony and Population-Based Incremental Learning. Statistical analyses show that CS is the most robust algorithm for the set of instances selected for tests.

[1]  Andries P. Engelbrecht,et al.  Computational Intelligence: An Introduction , 2002 .

[2]  Alex Dmitrienko,et al.  Pharmaceutical Statistics Using SAS: A Practical Guide , 2007 .

[3]  Shumeet Baluja,et al.  A Method for Integrating Genetic Search Based Function Optimization and Competitive Learning , 1994 .

[4]  N. Poursalehi,et al.  Improving the refueling cycle of a WWER-1000 using cuckoo search method and thermal-neutronic coupling of PARCS v2.7, COBRA-EN and WIMSD-5B codes , 2016 .

[5]  Geoffrey T. Parks,et al.  Pressurized water reactor in-core nuclear fuel management by tabu search , 2015 .

[6]  Roberto Schirru,et al.  Particle Swarm Optimization applied to the nuclear reload problem of a Pressurized Water Reactor , 2009 .

[7]  Janez Demsar,et al.  Statistical Comparisons of Classifiers over Multiple Data Sets , 2006, J. Mach. Learn. Res..

[8]  Shyi-Ming Chen,et al.  Solving the traveling salesman problem based on the genetic simulated annealing ant colony system with particle swarm optimization techniques , 2011, Expert Syst. Appl..

[9]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[10]  Kord Smith,et al.  An analytic nodal method for solving the two-group, multidimensional, static and transient neutron diffusion equations , 1979 .

[11]  Xin-She Yang,et al.  Nature-Inspired Metaheuristic Algorithms , 2008 .

[12]  T. J. Downar,et al.  Optimization of pressurized water reactor shuffling by simulated annealing with heuristics , 1995 .

[13]  J. Michael Herrmann,et al.  A Review of No Free Lunch Theorems, and Their Implications for Metaheuristic Optimisation , 2018 .

[14]  Roberto Schirru,et al.  Swarm intelligence of artificial bees applied to In-Core Fuel Management Optimization , 2011 .

[15]  Andrew Rutherford,et al.  ANOVA and ANCOVA: A GLM Approach , 2011 .

[16]  James C. Bean,et al.  Genetic Algorithms and Random Keys for Sequencing and Optimization , 1994, INFORMS J. Comput..

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

[18]  Roberto Schirru,et al.  A nuclear reactor core fuel reload optimization using artificial ant colony connective networks , 2008 .

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

[20]  Marek Gutowski L\'evy flights as an underlying mechanism for global optimization algorithms , 2001 .

[21]  Roberto Schirru,et al.  Parameterless evolutionary algorithm applied to the nuclear reload problem , 2008 .

[22]  Roberto Schirru,et al.  A new approach to the use of genetic algorithms to solve the pressurized water reactor's fuel management optimization problem , 1999 .

[23]  G. Zaslavsky,et al.  Lévy Flights and Related Topics in Physics , 2013 .

[24]  H. Minuchehr,et al.  Loading pattern optimization of PWR reactors using Artificial Bee Colony , 2011 .

[25]  Xin-She Yang,et al.  Cuckoo Search and Firefly Algorithm: Overview and Analysis , 2014 .

[26]  N. Poursalehi,et al.  Development of a high order and multi-dimensional nodal code, ACNEC3D, for reactor core analysis , 2013 .

[27]  Roberto Schirru,et al.  A cross-entropy method applied to the In-core fuel management optimization of a Pressurized Water Reactor , 2015 .

[28]  William J. Cook,et al.  Combinatorial optimization , 1997 .

[29]  Xin-She Yang,et al.  Engineering optimisation by cuckoo search , 2010 .

[30]  Xin-She Yang,et al.  Multiobjective cuckoo search for design optimization , 2013, Comput. Oper. Res..

[31]  Francisco Herrera,et al.  A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC’2005 Special Session on Real Parameter Optimization , 2009, J. Heuristics.

[32]  Chaung Lin,et al.  Pressurized Water Reactor Loading Pattern Design Using the Simple Tabu Search , 1998 .

[33]  Yan Wang,et al.  Global Convergence Analysis of Cuckoo Search Using Markov Theory , 2018 .

[34]  Xin-She Yang,et al.  Improved and Discrete Cuckoo Search for Solving the Travelling Salesman Problem , 2014 .

[35]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).

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

[37]  Clifford T. Brown,et al.  Lévy Flights in Dobe Ju/’hoansi Foraging Patterns , 2007 .

[38]  Roberto Schirru,et al.  The Ant-Q algorithm applied to the nuclear reload problem , 2002 .

[39]  Luca Maria Gambardella,et al.  A new approach for heuristics-guided search in the In-Core Fuel Management Optimization , 2010 .

[40]  Roberto Schirru,et al.  Application of metaheuristics to Loading Pattern Optimization problems based on the IAEA-3D and BIBLIS-2D data , 2018 .

[41]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[42]  Yoshiaki Oka,et al.  Light Water Reactor Design , 2014 .

[43]  David J. Sheskin,et al.  Handbook of Parametric and Nonparametric Statistical Procedures , 1997 .

[44]  Francisco Herrera,et al.  Advanced nonparametric tests for multiple comparisons in the design of experiments in computational intelligence and data mining: Experimental analysis of power , 2010, Inf. Sci..

[45]  Geoffrey T. Parks,et al.  An Intelligent Stochastic Optimization Routine for Nuclear Fuel Cycle Design , 1990 .