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Erschienen in: Soft Computing 19/2017

07.01.2017 | Focus

Since CEC 2005 competition on real-parameter optimisation: a decade of research, progress and comparative analysis’s weakness

verfasst von: Carlos García-Martínez, Pablo D. Gutiérrez, Daniel Molina, Manuel Lozano, Francisco Herrera

Erschienen in: Soft Computing | Ausgabe 19/2017

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Abstract

Real-parameter optimisation is a prolific research line with hundreds of publications per year. There exists an impressive number of alternatives in both algorithm families and enhancements over their respective original proposals. In this work, we analyse if this growth in the number of publications is correlated with a real progress in the field. We have selected five approaches from one of the most significant journals in the field and compared them with the winner of the competition celebrated within the IEEE Congress on Evolutionary Computation 2005. We observe that not only these methods are unable to get the good results of the winner of the competition, published several years before, but that they often avoid this type of comparison. Instead, they usually compare with other approaches from the same family. We conclude that the comparison with the state-of-the-art of the field should be mandatory to promote a real progress and to prevent that the area becomes obfuscated for outsiders.

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Literatur
Zurück zum Zitat Auger A, Hansen N (2005a) A restart CMA evolution strategy with increasing population size. In: IEEE Congress on Evolutionary Computation (CEC’05), vol 2, pp 1769–1776 Auger A, Hansen N (2005a) A restart CMA evolution strategy with increasing population size. In: IEEE Congress on Evolutionary Computation (CEC’05), vol 2, pp 1769–1776
Zurück zum Zitat Auger A, Hansen N (2005b) Performance evaluation of an advanced local search evolutionary algorithm. In: IEEE Congress on Evolutionary Computation (CEC’05), pp 1777–1784 Auger A, Hansen N (2005b) Performance evaluation of an advanced local search evolutionary algorithm. In: IEEE Congress on Evolutionary Computation (CEC’05), pp 1777–1784
Zurück zum Zitat Auger A, Hansen N, Schoenauer M (2012) Benchmarking of continuous black box optimization algorithms. Evol Comput 20(4):481–481CrossRef Auger A, Hansen N, Schoenauer M (2012) Benchmarking of continuous black box optimization algorithms. Evol Comput 20(4):481–481CrossRef
Zurück zum Zitat Awad NH, Ali MZ, Suganthan, PN, Reynolds RG (2016) An ensemble sinusoidal parameter adaptation incorporated with L-SHADE for solving CEC 2014 problems. In: IEEE Congress on Evolutionary Computation (CEC’16), pp 2958–2965 Awad NH, Ali MZ, Suganthan, PN, Reynolds RG (2016) An ensemble sinusoidal parameter adaptation incorporated with L-SHADE for solving CEC 2014 problems. In: IEEE Congress on Evolutionary Computation (CEC’16), pp 2958–2965
Zurück zum Zitat Bäck T, Schwefel HP (1993) An overview of evolutionary algorithms for parameter optimization. Evol Comput 1(1):1–23CrossRef Bäck T, Schwefel HP (1993) An overview of evolutionary algorithms for parameter optimization. Evol Comput 1(1):1–23CrossRef
Zurück zum Zitat Bersini H, Dorigo M, Langerman S, Seront G, Gambardella L (1996) Results of the first international contest on evolutionary optimisation (1st ICEO), In: IEEE Congress on Evolutionary Computation (CEC’96), pp 611–615 Bersini H, Dorigo M, Langerman S, Seront G, Gambardella L (1996) Results of the first international contest on evolutionary optimisation (1st ICEO), In: IEEE Congress on Evolutionary Computation (CEC’96), pp 611–615
Zurück zum Zitat Box G (1957) Evolutionary operation: a method for increasing industrial productivity. Appl Stat 6:639–641CrossRef Box G (1957) Evolutionary operation: a method for increasing industrial productivity. Appl Stat 6:639–641CrossRef
Zurück zum Zitat Bremermann H (1962) Optimization through evolutiona dn recombination. Spartan Books, Washington, pp 93–106 Bremermann H (1962) Optimization through evolutiona dn recombination. Spartan Books, Washington, pp 93–106
Zurück zum Zitat Brest J, Greiner S, Boskovic B, Mernik M, Zumer V (2006) Self-adapting control parameters in differential evolution. A comparative study on numerical benchmark problems. IEEE Trans Evol Comput 10(6):646–657CrossRef Brest J, Greiner S, Boskovic B, Mernik M, Zumer V (2006) Self-adapting control parameters in differential evolution. A comparative study on numerical benchmark problems. IEEE Trans Evol Comput 10(6):646–657CrossRef
Zurück zum Zitat Clerc M, Kennedy J (2002) The particle swarm-explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evol Comput 6(1):58–73CrossRef Clerc M, Kennedy J (2002) The particle swarm-explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evol Comput 6(1):58–73CrossRef
Zurück zum Zitat Coello CAC (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191:1245–1287MathSciNetCrossRefMATH Coello CAC (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191:1245–1287MathSciNetCrossRefMATH
Zurück zum Zitat Das S, Abraham A, Chakraborty U, Konar A (2009) Differential evolution using a neighbourhood-based mutation operator. IEEE Trans Evol Comput 13(3):526–553CrossRef Das S, Abraham A, Chakraborty U, Konar A (2009) Differential evolution using a neighbourhood-based mutation operator. IEEE Trans Evol Comput 13(3):526–553CrossRef
Zurück zum Zitat de Oca MM, Stützle T, Birattari M, Dorigo M (2009) Frankenstein’s PSO: a composite particle swarm optimization algorithm. IEEE Trans Evol Comput 13(5):1120–1132CrossRef de Oca MM, Stützle T, Birattari M, Dorigo M (2009) Frankenstein’s PSO: a composite particle swarm optimization algorithm. IEEE Trans Evol Comput 13(5):1120–1132CrossRef
Zurück zum Zitat Deb K, Anand A, Joshi D (2001) A computationally efficient evolutionary algorithm for real-parameter optimization. Evol Comput 9(2):159–195CrossRef Deb K, Anand A, Joshi D (2001) A computationally efficient evolutionary algorithm for real-parameter optimization. Evol Comput 9(2):159–195CrossRef
Zurück zum Zitat Demsar J (2006) Statistical comparisons of classifers over multiple data sets. J Mach Learn Res 7:1–30MathSciNetMATH Demsar J (2006) Statistical comparisons of classifers over multiple data sets. J Mach Learn Res 7:1–30MathSciNetMATH
Zurück zum Zitat Dorigo M, Stützle T (2004) Ant colony optimization. MIT Press, CambridgeMATH Dorigo M, Stützle T (2004) Ant colony optimization. MIT Press, CambridgeMATH
Zurück zum Zitat Dorigo M, Maniezzo V, Colorni A (1996) The ant system: optimization by a colony of cooperating agents. IEEE Trans Syst Man Cybern B Cybern 26(1):29–41CrossRef Dorigo M, Maniezzo V, Colorni A (1996) The ant system: optimization by a colony of cooperating agents. IEEE Trans Syst Man Cybern B Cybern 26(1):29–41CrossRef
Zurück zum Zitat Eberhart R, Shi Y (2001) Tracking and optimizing dynamic systems with particle swarms. In: IEEE Congress on Evolutionary Computation (CEC’01), pp 94–100 Eberhart R, Shi Y (2001) Tracking and optimizing dynamic systems with particle swarms. In: IEEE Congress on Evolutionary Computation (CEC’01), pp 94–100
Zurück zum Zitat Esbensen H, Mazumder P (1994) SAGA: a unification of the genetic algorithm with simulated annealing and its application to macro-cell placement. In: IEEE Int. Conf. VLSI Des., pp 211–214 Esbensen H, Mazumder P (1994) SAGA: a unification of the genetic algorithm with simulated annealing and its application to macro-cell placement. In: IEEE Int. Conf. VLSI Des., pp 211–214
Zurück zum Zitat Eshelman L, Schaffer J (1993) Real-coded genetic algorithms and interval schemata. In: Foundation of Genetic Algorithm-2. Morgan Kaufmann Eshelman L, Schaffer J (1993) Real-coded genetic algorithms and interval schemata. In: Foundation of Genetic Algorithm-2. Morgan Kaufmann
Zurück zum Zitat Fogel L (1962) Autonomous automata. Ind Res 4:14–19 Fogel L (1962) Autonomous automata. Ind Res 4:14–19
Zurück zum Zitat Fogel DB (2000) Evolutionary computation. Toward a new philosophy of machine intelligence. IEEE Press, PiscatawayMATH Fogel DB (2000) Evolutionary computation. Toward a new philosophy of machine intelligence. IEEE Press, PiscatawayMATH
Zurück zum Zitat Fogel L, Owens A, Walsh M (1966) Artificial intelligence through simulated evolution. Wiley, New YorkMATH Fogel L, Owens A, Walsh M (1966) Artificial intelligence through simulated evolution. Wiley, New YorkMATH
Zurück zum Zitat Garcia 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 CEC’2005 special session on real parameter optimization. J Heuristics 15(6):617–644CrossRefMATH Garcia 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 CEC’2005 special session on real parameter optimization. J Heuristics 15(6):617–644CrossRefMATH
Zurück zum Zitat García-Martínez C, Rodriguez FJ, Lozano M (2012) Arbitrary function optimisation with metaheuristics. No free lunch and real-world problems. Soft Comput 16(12):2115–2133CrossRef García-Martínez C, Rodriguez FJ, Lozano M (2012) Arbitrary function optimisation with metaheuristics. No free lunch and real-world problems. Soft Comput 16(12):2115–2133CrossRef
Zurück zum Zitat Garden RW, Engelbrecht AP (2014) Analysis and classification of optimisation benchmark functions and benchmark suites. In: IEEE Congress on Evolutionary Computation (CEC’2014), pp 1664–1669 Garden RW, Engelbrecht AP (2014) Analysis and classification of optimisation benchmark functions and benchmark suites. In: IEEE Congress on Evolutionary Computation (CEC’2014), pp 1664–1669
Zurück zum Zitat Geem ZW, Kim JH, Loganathan G (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68CrossRef Geem ZW, Kim JH, Loganathan G (2001) A new heuristic optimization algorithm: harmony search. Simulation 76:60–68CrossRef
Zurück zum Zitat Glover F (1977) Heuristics for integer programming using surrogate constraints. Decis Sci 8:156–166CrossRef Glover F (1977) Heuristics for integer programming using surrogate constraints. Decis Sci 8:156–166CrossRef
Zurück zum Zitat Goldberg D (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, ReadingMATH Goldberg D (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, ReadingMATH
Zurück zum Zitat Guo SM, Yang CC (2015) Enhancing differential evolution utilizing eigenvector-based crossover operator. IEEE Trans Evol Comput 19(1):31–49MathSciNetCrossRef Guo SM, Yang CC (2015) Enhancing differential evolution utilizing eigenvector-based crossover operator. IEEE Trans Evol Comput 19(1):31–49MathSciNetCrossRef
Zurück zum Zitat Guo SM, Tsai JSH, Yang CC, Hsu PH (2015) A self-optimization approach for L-SHADE incorporated with eigenvector-based crossover and successful-parent-selecting framework on CEC 2015 benchmark set. In: IEEE Congress on Evolutionary Computation (CEC’2015), pp 1003–1010 Guo SM, Tsai JSH, Yang CC, Hsu PH (2015) A self-optimization approach for L-SHADE incorporated with eigenvector-based crossover and successful-parent-selecting framework on CEC 2015 benchmark set. In: IEEE Congress on Evolutionary Computation (CEC’2015), pp 1003–1010
Zurück zum Zitat Hansen N (2005) Compilation of results on the CEC benchmark function set. Tech. rep., Institute of Computational Science, ETH Zurich, Switzerland Hansen N (2005) Compilation of results on the CEC benchmark function set. Tech. rep., Institute of Computational Science, ETH Zurich, Switzerland
Zurück zum Zitat Hansen N (2009) Benchmarking a BI-Population CMA-ES on the BBOB-2009 Function Testbed. In: Genetic and Evolutionary Computation Conference (GECCO’09), pp 2389–2396 Hansen N (2009) Benchmarking a BI-Population CMA-ES on the BBOB-2009 Function Testbed. In: Genetic and Evolutionary Computation Conference (GECCO’09), pp 2389–2396
Zurück zum Zitat Hansen N, Auger A, Mersmann O, Tuv̀ar T, Brockhoff D (2016) COCO: a platform for comparing continuous optimizers in a black-box setting. In: ArXiv e-prints, arXiv:1603.08785 Hansen N, Auger A, Mersmann O, Tuv̀ar T, Brockhoff D (2016) COCO: a platform for comparing continuous optimizers in a black-box setting. In: ArXiv e-prints, arXiv:​1603.​08785
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):309–338CrossRefMATH 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):309–338CrossRefMATH
Zurück zum Zitat Ho SY, Lin HS, Liauh WH, Ho SJ (2008) OPSO: orthogonal particle swarm optimization and its application to task assignment problems. IEEE Trans Syst Man CybernPart A 38(2):288–298 Ho SY, Lin HS, Liauh WH, Ho SJ (2008) OPSO: orthogonal particle swarm optimization and its application to task assignment problems. IEEE Trans Syst Man CybernPart A 38(2):288–298
Zurück zum Zitat Holland J (1962) Outline for a logical theory of adaptive systems. J Assoc Comput Mach 3:297–314CrossRefMATH Holland J (1962) Outline for a logical theory of adaptive systems. J Assoc Comput Mach 3:297–314CrossRefMATH
Zurück zum Zitat Holland J (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor Holland J (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor
Zurück zum Zitat Jamil M, Yang XS (2013) A literature survey of benchmark functions for global optimisation problems. Int J Math Model Numer Optim 4(2):150–194MATH Jamil M, Yang XS (2013) A literature survey of benchmark functions for global optimisation problems. Int J Math Model Numer Optim 4(2):150–194MATH
Zurück zum Zitat Jamil M, Yang X-S, Zepernick H-JD (2013) Test functions for global optimization: a comprehensive survey. In: Swarm Intelligence and Bio-Inspired Computation, pp 193–222 Jamil M, Yang X-S, Zepernick H-JD (2013) Test functions for global optimization: a comprehensive survey. In: Swarm Intelligence and Bio-Inspired Computation, pp 193–222
Zurück zum Zitat Janson S, Middendorf M (2005) A hierarchical particle swarm optimizer and its adaptive variant. IEEE Trans Syst Man Cybern Part B Cybern 35(6):1272–1282CrossRef Janson S, Middendorf M (2005) A hierarchical particle swarm optimizer and its adaptive variant. IEEE Trans Syst Man Cybern Part B Cybern 35(6):1272–1282CrossRef
Zurück zum Zitat Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Global Optim 39:459–471MathSciNetCrossRefMATH Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Global Optim 39:459–471MathSciNetCrossRefMATH
Zurück zum Zitat Keenedy J (1999) Small worlds and mega-minds: effects of neighborhood topology on particle swarm performance. In: IEEE Congress on Evolutionary Computation (CEC’99), vol 3, pp 1931–1938 Keenedy J (1999) Small worlds and mega-minds: effects of neighborhood topology on particle swarm performance. In: IEEE Congress on Evolutionary Computation (CEC’99), vol 3, pp 1931–1938
Zurück zum Zitat Kennedy J, Eberhart R (1995) Particle swarm optimization. IEEE Conf Neural Netw 4:1942–1947 Kennedy J, Eberhart R (1995) Particle swarm optimization. IEEE Conf Neural Netw 4:1942–1947
Zurück zum Zitat Kennedy J, Mendes R (2002) Population structure and particle swarm performance. In: IEEE Congress on Evolutionary Computation (CEC’02), pp 1671–1676 Kennedy J, Mendes R (2002) Population structure and particle swarm performance. In: IEEE Congress on Evolutionary Computation (CEC’02), pp 1671–1676
Zurück zum Zitat KrishnaKumar K, Narayanaswamy S, Garg S (1995) Solving large parameter optimization problems using a genetic algorithm with stochastic coding. In: Genetic Algorithms in Engineering and Computer Science, pp 287–303. Wiley KrishnaKumar K, Narayanaswamy S, Garg S (1995) Solving large parameter optimization problems using a genetic algorithm with stochastic coding. In: Genetic Algorithms in Engineering and Computer Science, pp 287–303. Wiley
Zurück zum Zitat Lee C, Yao X (2004) Evolutionary programming using mutations based on the Lévy probability distribution. IEEE Trans Evol Comput 8(1):1–13CrossRef Lee C, Yao X (2004) Evolutionary programming using mutations based on the Lévy probability distribution. IEEE Trans Evol Comput 8(1):1–13CrossRef
Zurück zum Zitat Leung YW, Wang Y (2001) An orthogonal genetic algorithm with quantization for global numerical optimization. IEEE Trans Evol Comput 5(1):41–53CrossRef Leung YW, Wang Y (2001) An orthogonal genetic algorithm with quantization for global numerical optimization. IEEE Trans Evol Comput 5(1):41–53CrossRef
Zurück zum Zitat Li Z (2015) Genetic algorithm that considers scattering for THz quantitative analysis. IEEE Trans Terahertz Sci Technol 5(6):1062–1067CrossRef Li Z (2015) Genetic algorithm that considers scattering for THz quantitative analysis. IEEE Trans Terahertz Sci Technol 5(6):1062–1067CrossRef
Zurück zum Zitat Liang J, Suganthan P (2005) Dynamic multi-swarm particle swarm optimizer. In: Swarm Intell. Symposium, pp 124–129 Liang J, Suganthan P (2005) Dynamic multi-swarm particle swarm optimizer. In: Swarm Intell. Symposium, pp 124–129
Zurück zum Zitat Liang JJ, Suganthan PN, Deb K (2005) Novel composition test functions for numerical global optimization. In: IEEE Swarm Intelligence Symposium, pp 68–75 Liang JJ, Suganthan PN, Deb K (2005) Novel composition test functions for numerical global optimization. In: IEEE Swarm Intelligence Symposium, pp 68–75
Zurück zum Zitat Liang J, Qin A, Suganthan P, Baskar S (2006) Comprehensive learning particle swarm optimizer for global optimization of multimodal functions. IEEE Trans Evol Comput 10(3):281–295CrossRef Liang J, Qin A, Suganthan P, Baskar S (2006) Comprehensive learning particle swarm optimizer for global optimization of multimodal functions. IEEE Trans Evol Comput 10(3):281–295CrossRef
Zurück zum Zitat Liao T, Molina D, de Oca M, Stützle T (2014) A note on bound constraints handling for the IEEE CEC’05 benchmark function suite. Evol Comput 22(2):351–359CrossRef Liao T, Molina D, de Oca M, Stützle T (2014) A note on bound constraints handling for the IEEE CEC’05 benchmark function suite. Evol Comput 22(2):351–359CrossRef
Zurück zum Zitat Liao T, Molina D, Sttzle T (2015) Performance evaluation of automatically tuned continuous optimizers on different benchmark sets. Soft Comput J 27:490–503CrossRef Liao T, Molina D, Sttzle T (2015) Performance evaluation of automatically tuned continuous optimizers on different benchmark sets. Soft Comput J 27:490–503CrossRef
Zurück zum Zitat Liu J, Lampinen (2005) A fuzzy adaptive differential evolution algorithm. Soft Comput 9(6):448–462CrossRefMATH Liu J, Lampinen (2005) A fuzzy adaptive differential evolution algorithm. Soft Comput 9(6):448–462CrossRefMATH
Zurück zum Zitat Mendes R, Kennedy J, Neves J (2004) The fully informed particle swarm: simpler, maybe better. IEEE Trans Evol Comput 8(3):204–210CrossRef Mendes R, Kennedy J, Neves J (2004) The fully informed particle swarm: simpler, maybe better. IEEE Trans Evol Comput 8(3):204–210CrossRef
Zurück zum Zitat Omidvar MN, Li X, Tang K (2015) Designing benchmark problems for large-scale continuous optimization. Inf Sci 2015:419–436CrossRef Omidvar MN, Li X, Tang K (2015) Designing benchmark problems for large-scale continuous optimization. Inf Sci 2015:419–436CrossRef
Zurück zum Zitat Omran M, Salman A, Engelbrecht A (2005) Self-adaptive differential evolution. In: Computational Intelligence and Security (LNCS 3801), pp 192–199. Springer Omran M, Salman A, Engelbrecht A (2005) Self-adaptive differential evolution. In: Computational Intelligence and Security (LNCS 3801), pp 192–199. Springer
Zurück zum Zitat Ong YS, Keane A (2004) Meta-lamarckian learning in memetic algorithms. IEEE Trans Evol Comput 8(2):99–110CrossRef Ong YS, Keane A (2004) Meta-lamarckian learning in memetic algorithms. IEEE Trans Evol Comput 8(2):99–110CrossRef
Zurück zum Zitat Parsopoulos K, Vrahatis M (2004) UPSO A unified particle swarm optimization scheme. In: Lecture Series on Computational Sciences, pp 868–873 Parsopoulos K, Vrahatis M (2004) UPSO A unified particle swarm optimization scheme. In: Lecture Series on Computational Sciences, pp 868–873
Zurück zum Zitat Passino K (2002) Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Syst Mag 22:52–67CrossRef Passino K (2002) Biomimicry of bacterial foraging for distributed optimization and control. IEEE Control Syst Mag 22:52–67CrossRef
Zurück zum Zitat Peram T, Veeramachaneni K, Mohan C (2003) Fitness-distance-ration based particle swarm optimization. In: Swarm Intelligence Symposium, pp 174–181 Peram T, Veeramachaneni K, Mohan C (2003) Fitness-distance-ration based particle swarm optimization. In: Swarm Intelligence Symposium, pp 174–181
Zurück zum Zitat Piotrowski AP (2015) Regarding the rankings of optimization heuristics based on artificially-constructed benchmark functions. Inf Sci 297:191–201CrossRef Piotrowski AP (2015) Regarding the rankings of optimization heuristics based on artificially-constructed benchmark functions. Inf Sci 297:191–201CrossRef
Zurück zum Zitat Pošic P, Kubalík J (2012) Experimental comparison of six population-based algorithms for continuous black box optimization. Evol Comput 20(4):483–508CrossRef Pošic P, Kubalík J (2012) Experimental comparison of six population-based algorithms for continuous black box optimization. Evol Comput 20(4):483–508CrossRef
Zurück zum Zitat Pošic P, Huyer W, Pál L (2012) A comparison of global search algorithms for continuous black box optimization. Evol Comput 20(4):509–541CrossRef Pošic P, Huyer W, Pál L (2012) A comparison of global search algorithms for continuous black box optimization. Evol Comput 20(4):509–541CrossRef
Zurück zum Zitat Qin A, Huang V, Suganthan P (2009) Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans Evol Comput 13(2):398–417CrossRef Qin A, Huang V, Suganthan P (2009) Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans Evol Comput 13(2):398–417CrossRef
Zurück zum Zitat Qu BY, Liang JJ, Wang ZY, Chen Q, Suganthan PN (2016) Novel benchmark functions for continuous multimodal optimization with comparative results. Swarm Evol Comput 26:23–34CrossRef Qu BY, Liang JJ, Wang ZY, Chen Q, Suganthan PN (2016) Novel benchmark functions for continuous multimodal optimization with comparative results. Swarm Evol Comput 26:23–34CrossRef
Zurück zum Zitat Ratnaweera A, Halgamuge S, Watson H (2004) Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients. IEEE Trans Evol Comput 8(3):240–255CrossRef Ratnaweera A, Halgamuge S, Watson H (2004) Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients. IEEE Trans Evol Comput 8(3):240–255CrossRef
Zurück zum Zitat Rechenberg I (1965) Cybernetic solution path of an experimental problem. Royal Aircraft Establishment Translation, 1122 Rechenberg I (1965) Cybernetic solution path of an experimental problem. Royal Aircraft Establishment Translation, 1122
Zurück zum Zitat Rönkkönen J, Li X, Kyrki V, Lampinen J (2011) A framework for generating tunable test functions for multimodal optimization. Soft Comput 15(9):1689–1706CrossRef Rönkkönen J, Li X, Kyrki V, Lampinen J (2011) A framework for generating tunable test functions for multimodal optimization. Soft Comput 15(9):1689–1706CrossRef
Zurück zum Zitat Schwefel HP (1968) Experimemelle Optimierung einer Zweiphasend. Tech. Rep. 35, Project MHD_Staustrahirohr. 11.034/68 Schwefel HP (1968) Experimemelle Optimierung einer Zweiphasend. Tech. Rep. 35, Project MHD_Staustrahirohr. 11.034/68
Zurück zum Zitat Schwefel HP (1975) Evolutionsstrategie und numerische Optimierung. Ph.D. thesis, Technische Universität Berlin Schwefel HP (1975) Evolutionsstrategie und numerische Optimierung. Ph.D. thesis, Technische Universität Berlin
Zurück zum Zitat Schwefel H-P (1981) Numerical optimization of computer models. Wiley, ChichesterMATH Schwefel H-P (1981) Numerical optimization of computer models. Wiley, ChichesterMATH
Zurück zum Zitat Shi Y, Eberhart R (1998a) A modified particle swarm optimizer. In: IEEE Congress on Evolutionary Computation (CEC’98), pp 69–73 Shi Y, Eberhart R (1998a) A modified particle swarm optimizer. In: IEEE Congress on Evolutionary Computation (CEC’98), pp 69–73
Zurück zum Zitat Shi Y, Eberhart R (1998b) Parameter selection in particle swarm optimization. In: International Conference on Evolutionary Programming (LNCS 1447), pp 591–600 Shi Y, Eberhart R (1998b) Parameter selection in particle swarm optimization. In: International Conference on Evolutionary Programming (LNCS 1447), pp 591–600
Zurück zum Zitat Shi Y, Eberhart R (1999) Empirical study of particle swarm optimization. In: IEEE Congress on Evolutionary Computation (CEC’99), pp 1945–1950 Shi Y, Eberhart R (1999) Empirical study of particle swarm optimization. In: IEEE Congress on Evolutionary Computation (CEC’99), pp 1945–1950
Zurück zum Zitat Srinivas M, Patnaik L (1994) Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Trans Syst Man Cybern 24(4):656–667CrossRef Srinivas M, Patnaik L (1994) Adaptive probabilities of crossover and mutation in genetic algorithms. IEEE Trans Syst Man Cybern 24(4):656–667CrossRef
Zurück zum Zitat Storn R, Price K (1997) Differential Evolution. A simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359MathSciNetCrossRefMATH Storn R, Price K (1997) Differential Evolution. A simple and efficient heuristic for global optimization over continuous spaces. J Global Optim 11:341–359MathSciNetCrossRefMATH
Zurück zum Zitat Suganthan PN, Hansen N, Liang JJ, Deb K, Chen YP, Auger A, Tiwari S (2005) Problem definitions and evaluation criteria for the CEC 2005 special session on real parameter optimization. Tech. report, Nanyang Technological University Suganthan PN, Hansen N, Liang JJ, Deb K, Chen YP, Auger A, Tiwari S (2005) Problem definitions and evaluation criteria for the CEC 2005 special session on real parameter optimization. Tech. report, Nanyang Technological University
Zurück zum Zitat Tanabe R, Fukunaga A (2013) Success-history based parameter adaptation for differential evolution. In: IEEE Congress on Evolutionary Computation (CEC’13), pp 71–78 Tanabe R, Fukunaga A (2013) Success-history based parameter adaptation for differential evolution. In: IEEE Congress on Evolutionary Computation (CEC’13), pp 71–78
Zurück zum Zitat Tanabe R, Fukunaga A (2014) Improving the search performance of SHADE using linear population size reduction. In: IEEE Congress on Evolutionary Computation (CEC’14), pp 1658–1665 Tanabe R, Fukunaga A (2014) Improving the search performance of SHADE using linear population size reduction. In: IEEE Congress on Evolutionary Computation (CEC’14), pp 1658–1665
Zurück zum Zitat Trelea I (2003) The particle swarm optimization algorithm: convergence analysis and parameter selection. Inf Process Lett 85(6):317–325MathSciNetCrossRefMATH Trelea I (2003) The particle swarm optimization algorithm: convergence analysis and parameter selection. Inf Process Lett 85(6):317–325MathSciNetCrossRefMATH
Zurück zum Zitat van den Bergh F, Engelbrecht A (2004) A cooperative approach to particle swarm optimization. IEEE Trans Evol Comput 8(3):225–239CrossRef van den Bergh F, Engelbrecht A (2004) A cooperative approach to particle swarm optimization. IEEE Trans Evol Comput 8(3):225–239CrossRef
Zurück zum Zitat Weyland D (2010) A rigorous analysis of the harmony search algorithm: How the research community can be misled by a novel methodology. Int J Appl Metaheuristic Comput 1(2):50–60CrossRef Weyland D (2010) A rigorous analysis of the harmony search algorithm: How the research community can be misled by a novel methodology. Int J Appl Metaheuristic Comput 1(2):50–60CrossRef
Zurück zum Zitat Wolpert D, Macready W (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1(1):67–82CrossRef Wolpert D, Macready W (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1(1):67–82CrossRef
Zurück zum Zitat Xiong N, Molina D, Ortiz ML, Herrera F (2015) A walk into metaheuristics for engineering optimization: principles, methods and recent trends. Int J Comput Intell Syst 8(4):606–636CrossRef Xiong N, Molina D, Ortiz ML, Herrera F (2015) A walk into metaheuristics for engineering optimization: principles, methods and recent trends. Int J Comput Intell Syst 8(4):606–636CrossRef
Zurück zum Zitat Yang Z, He J, Yao X (2007) Making a difference to differential evolution. In: Advances Metaheuristics for Hard Optimization, pp 397–414. Springer Yang Z, He J, Yao X (2007) Making a difference to differential evolution. In: Advances Metaheuristics for Hard Optimization, pp 397–414. Springer
Zurück zum Zitat Yao X, Liu Y, Lin G (1999) Evolutionary programming made faster. IEEE Trans Evol Comput 3(2):82–102CrossRef Yao X, Liu Y, Lin G (1999) Evolutionary programming made faster. IEEE Trans Evol Comput 3(2):82–102CrossRef
Zurück zum Zitat Zaharie D (2003) Control of population diversity and adaptation in differential evolution algorithms. In: Mendel 9th Int. Conf. Soft Computing, pp 41–46 Zaharie D (2003) Control of population diversity and adaptation in differential evolution algorithms. In: Mendel 9th Int. Conf. Soft Computing, pp 41–46
Zurück zum Zitat Zhan ZH, Zhang J, Li Y, Shi YH (2011) Orthogonal learning particle swarm optimization. IEEE Trans Evol Comput 15(6):832–847CrossRef Zhan ZH, Zhang J, Li Y, Shi YH (2011) Orthogonal learning particle swarm optimization. IEEE Trans Evol Comput 15(6):832–847CrossRef
Zurück zum Zitat Zhang J, Sanderson A (2009) JADE: adaptive differential evolution with optional external archive. IEEE Trans Evol Comput 13(5):945–958CrossRef Zhang J, Sanderson A (2009) JADE: adaptive differential evolution with optional external archive. IEEE Trans Evol Comput 13(5):945–958CrossRef
Zurück zum Zitat Zhang Q, Sun J, Tsang E, Ford J (2004) Hybrid estimation of distribution algorithm for global optimization. Eng Comput 21(1):91–107CrossRefMATH Zhang Q, Sun J, Tsang E, Ford J (2004) Hybrid estimation of distribution algorithm for global optimization. Eng Comput 21(1):91–107CrossRefMATH
Zurück zum Zitat Zheng YL, Ma LH, Zhang LY, Qian JX (2003a) Empirical study of particle swarm optimizer with an increasing inertia weight. In: IEEE Congress on Evolutionary Computation (CEC’03), pp 221–226 Zheng YL, Ma LH, Zhang LY, Qian JX (2003a) Empirical study of particle swarm optimizer with an increasing inertia weight. In: IEEE Congress on Evolutionary Computation (CEC’03), pp 221–226
Zurück zum Zitat Zheng YL, Ma LH, Zhang LY, Qian JX (2003b) On the convergence analysis and parameter selection in particle swarm optimization. In: IEEE International Conference on Machine Learning and Cybernetics, pp 1802–1807 Zheng YL, Ma LH, Zhang LY, Qian JX (2003b) On the convergence analysis and parameter selection in particle swarm optimization. In: IEEE International Conference on Machine Learning and Cybernetics, pp 1802–1807
Metadaten
Titel
Since CEC 2005 competition on real-parameter optimisation: a decade of research, progress and comparative analysis’s weakness
verfasst von
Carlos García-Martínez
Pablo D. Gutiérrez
Daniel Molina
Manuel Lozano
Francisco Herrera
Publikationsdatum
07.01.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 19/2017
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-016-2471-9

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