Skip to main content
Erschienen in: Soft Computing 3/2012

01.03.2012 | Original Paper

Variable mesh optimization for continuous optimization problems

verfasst von: Amilkar Puris, Rafael Bello, Daniel Molina, Francisco Herrera

Erschienen in: Soft Computing | Ausgabe 3/2012

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Population-based meta-heuristics are algorithms that can obtain very good results for complex continuous optimization problems in a reduced amount of time. These search algorithms use a population of solutions to maintain an acceptable diversity level during the process, thus their correct distribution is crucial for the search. This paper introduces a new population meta-heuristic called “variable mesh optimization” (VMO), in which the set of nodes (potential solutions) are distributed as a mesh. This mesh is variable, because it evolves to maintain a controlled diversity (avoiding solutions too close to each other) and to guide it to the best solutions (by a mechanism of resampling from current nodes to its best neighbour). This proposal is compared with basic population-based meta-heuristics using a benchmark of multimodal continuous functions, showing that VMO is a competitive algorithm.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Brest J, Boskovic B, Greiner S, Zumer V, Maucec MS (2007) Performance comparison of self-adaptive and adaptive differential evolution algorithms. Soft Comput 11(7):617–629MATHCrossRef Brest J, Boskovic B, Greiner S, Zumer V, Maucec MS (2007) Performance comparison of self-adaptive and adaptive differential evolution algorithms. Soft Comput 11(7):617–629MATHCrossRef
Zurück zum Zitat Deb K (2001) Self-adaptive genetic algorithms with simulated binary crossover. Evol Comput J 9(2):195–219CrossRef Deb K (2001) Self-adaptive genetic algorithms with simulated binary crossover. Evol Comput J 9(2):195–219CrossRef
Zurück zum Zitat Engelbrecht A (2006) Fundamentals of computational swarm intelligence. Wiley, New York Engelbrecht A (2006) Fundamentals of computational swarm intelligence. Wiley, New York
Zurück zum Zitat Fernandes C, Rosa A (2001) A study of non-random matching and varying population size in genetic algorithm using a royal road function. In: Proceedings of IEEE congress on evolutionary computation. IEEE Press, Piscataway, New York, pp 60–66 Fernandes C, Rosa A (2001) A study of non-random matching and varying population size in genetic algorithm using a royal road function. In: Proceedings of IEEE congress on evolutionary computation. IEEE Press, Piscataway, New York, pp 60–66
Zurück zum Zitat García S, Fernández A, Luengo J, Herrera F (2009) A study of statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability. Soft Comput Appl 13(10):959–977CrossRef García S, Fernández A, Luengo J, Herrera F (2009) A study of statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability. Soft Comput Appl 13(10):959–977CrossRef
Zurück zum Zitat García S, Molina D, Lozano M, Herrera F (2009) A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC2005 special session on real parameter optimization. J Heuristics 15:617–644MATHCrossRef García S, Molina D, Lozano M, Herrera F (2009) A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC2005 special session on real parameter optimization. J Heuristics 15:617–644MATHCrossRef
Zurück zum Zitat Glover FW, Kochenberger GA (2003) Handbook of metaheuristics (International Series in Operations Research & Management Science). Springer, Berlin Glover FW, Kochenberger GA (2003) Handbook of metaheuristics (International Series in Operations Research & Management Science). Springer, Berlin
Zurück zum Zitat Herrera F, Lozano M (eds) (2005) Special issue on real coded genetic algorithms: foundations, models and operators. Soft Comput 9:4 Herrera F, Lozano M (eds) (2005) Special issue on real coded genetic algorithms: foundations, models and operators. Soft Comput 9:4
Zurück zum Zitat Herrera F, Lozano M, Verdegay J (1998) Tackling realcoded genetic algorithms: operators and tools for the behavioral analysis. Artif Intell Rev 12(4):265–319MATHCrossRef Herrera F, Lozano M, Verdegay J (1998) Tackling realcoded genetic algorithms: operators and tools for the behavioral analysis. Artif Intell Rev 12(4):265–319MATHCrossRef
Zurück zum Zitat Herrera F, Lozano M, Sánchez A (2003) A taxonomy for the crossover operator for real-coded genetic algorithms: an experimental study. Int J Intell Syst 18(3):309–338MATHCrossRef Herrera F, Lozano M, Sánchez A (2003) A taxonomy for the crossover operator for real-coded genetic algorithms: an experimental study. Int J Intell Syst 18(3):309–338MATHCrossRef
Zurück zum Zitat Holm S (1979) A simple sequentially rejective multiple test procedure. Scand J Stat 6(2):65–70MathSciNetMATH Holm S (1979) A simple sequentially rejective multiple test procedure. Scand J Stat 6(2):65–70MathSciNetMATH
Zurück zum Zitat Iman R, Davenport J (1980) Approximations of the critical region of the Friedman statistic. Commun Stat 18:571–595 Iman R, Davenport J (1980) Approximations of the critical region of the Friedman statistic. Commun Stat 18:571–595
Zurück zum Zitat Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks, pp 1942–1948 Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of IEEE international conference on neural networks, pp 1942–1948
Zurück zum Zitat Laguna M, Martí R (2003) Scatter search. Methodology and implementation in C. Kluwer, Dordrecht Laguna M, Martí R (2003) Scatter search. Methodology and implementation in C. Kluwer, Dordrecht
Zurück zum Zitat Lozano M, Herrera F, Molina D (eds) (2011) Special issue on scalability of evolutionary algorithms and other metaheuristics for large scale continuous optimization problems. Soft Comput Lozano M, Herrera F, Molina D (eds) (2011) Special issue on scalability of evolutionary algorithms and other metaheuristics for large scale continuous optimization problems. Soft Comput
Zurück zum Zitat Michalewicz Z, Siarry P (2008) Special issue on adaptation of discrete metaheuristics to continuous optimization. In: Eur J Oper Res 185:1060–1061 Michalewicz Z, Siarry P (2008) Special issue on adaptation of discrete metaheuristics to continuous optimization. In: Eur J Oper Res 185:1060–1061
Zurück zum Zitat Minetti G (2005) Uniform crossover in genetic algorithms. In: Proceedings of IEEE fifth international conference on intelligent systems design and applications, pp 350–355 Minetti G (2005) Uniform crossover in genetic algorithms. In: Proceedings of IEEE fifth international conference on intelligent systems design and applications, pp 350–355
Zurück zum Zitat Rahnamayan S, Tizhoosh H, Salama M (2008) Solving large scale optimization problems by opposition-based differential evolution. IEEE Trans Comput 7(10):1792–1804 Rahnamayan S, Tizhoosh H, Salama M (2008) Solving large scale optimization problems by opposition-based differential evolution. IEEE Trans Comput 7(10):1792–1804
Zurück zum Zitat Sheskin DJ (2007) Handbook of parametric and nonparametric statistical procedures. Chapman and Hall/CRC Sheskin DJ (2007) Handbook of parametric and nonparametric statistical procedures. Chapman and Hall/CRC
Zurück zum Zitat Shi Y, Eberhart C (1998) A modified particle swarm optimizer. In: Proceedings of IEEE international conference on evolutionary computation, pp 69–73 Shi Y, Eberhart C (1998) A modified particle swarm optimizer. In: Proceedings of IEEE international conference on evolutionary computation, pp 69–73
Zurück zum Zitat Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359MathSciNetMATHCrossRef Storn R, Price K (1997) Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359MathSciNetMATHCrossRef
Zurück zum Zitat Suganthan P, Hansen N, Liang J, Deb K, Chen YP, Auger A, Tiwari S (2005) Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. Technical report, Nanyang Technological University. http://www.ntu.edu.sg/home/EPNSugan/ Suganthan P, Hansen N, Liang J, Deb K, Chen YP, Auger A, Tiwari S (2005) Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. Technical report, Nanyang Technological University. http://​www.​ntu.​edu.​sg/​home/​EPNSugan/​
Zurück zum Zitat Syswerda G (1989) Uniform crossover in genetic algorithms. In: Schaffer J (eds) Proceedings of third international conference on genetic algorithms. pp 2–9 Morgan Kaufmann, San Mateo Syswerda G (1989) Uniform crossover in genetic algorithms. In: Schaffer J (eds) Proceedings of third international conference on genetic algorithms. pp 2–9 Morgan Kaufmann, San Mateo
Zurück zum Zitat Wilcoxon F (1945) Individual comparisons by ranking methods. Biometrics 1:80–83CrossRef Wilcoxon F (1945) Individual comparisons by ranking methods. Biometrics 1:80–83CrossRef
Metadaten
Titel
Variable mesh optimization for continuous optimization problems
verfasst von
Amilkar Puris
Rafael Bello
Daniel Molina
Francisco Herrera
Publikationsdatum
01.03.2012
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 3/2012
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-011-0753-9

Weitere Artikel der Ausgabe 3/2012

Soft Computing 3/2012 Zur Ausgabe