Skip to main content
Erschienen in: Structural and Multidisciplinary Optimization 1/2016

02.04.2016 | REVIEW ARTICLE

Parallel surrogate-assisted global optimization with expensive functions – a survey

verfasst von: Raphael T. Haftka, Diane Villanueva, Anirban Chaudhuri

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 1/2016

Einloggen

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

search-config
loading …

Abstract

Surrogate assisted global optimization is gaining popularity. Similarly, modern advances in computing power increasingly rely on parallelization rather than faster processors. This paper examines some of the methods used to take advantage of parallelization in surrogate based global optimization. A key issue focused on in this review is how different algorithms balance exploration and exploitation. Most of the papers surveyed are adaptive samplers that employ Gaussian Process or Kriging surrogates. These allow sophisticated approaches for balancing exploration and exploitation and even allow to develop algorithms with calculable rate of convergence as function of the number of parallel processors. In addition to optimization based on adaptive sampling, surrogate assisted parallel evolutionary algorithms are also surveyed. Beyond a review of the present state of the art, the paper also argues that methods that provide easy parallelization, like multiple parallel runs, or methods that rely on population of designs for diversity deserve more attention.

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 "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!

Literatur
Zurück zum Zitat Akhtar T, and Shoemaker CA (2015) Multi objective optimization of computationally expensive multi-modal functions with RBF surrogates and multi-rule selection. J Global Optimization, 1–16 Akhtar T, and Shoemaker CA (2015) Multi objective optimization of computationally expensive multi-modal functions with RBF surrogates and multi-rule selection. J Global Optimization, 1–16
Zurück zum Zitat Alba E, Tomassini M (2002) Parallelism and evolutionary algorithms. IEEE Trans Evol Comput 6(5):443–462CrossRef Alba E, Tomassini M (2002) Parallelism and evolutionary algorithms. IEEE Trans Evol Comput 6(5):443–462CrossRef
Zurück zum Zitat Asouti VG, Kampolis IC, Giannakoglou KC (2009) A grid-enabled asynchronous metamodel-assisted evolutionary algorithm for aerodynamic optimization. Genet Program Evolvable Mach 10(4):373–389CrossRef Asouti VG, Kampolis IC, Giannakoglou KC (2009) A grid-enabled asynchronous metamodel-assisted evolutionary algorithm for aerodynamic optimization. Genet Program Evolvable Mach 10(4):373–389CrossRef
Zurück zum Zitat Basudhar A, Dribusch C, Lacaze S, Missoum S (2012) Constrained efficient global optimization with support vector machines. Struct Multidiscip Optim 46(2):201–221CrossRefMATH Basudhar A, Dribusch C, Lacaze S, Missoum S (2012) Constrained efficient global optimization with support vector machines. Struct Multidiscip Optim 46(2):201–221CrossRefMATH
Zurück zum Zitat Bichon BJ, Eldred MS, Swiler LP, Mahadevan S, McFarland J (2008) Efficient global reliability analysis for nonlinear implicit performance functions. AIAA J 46(10):2459–2468CrossRef Bichon BJ, Eldred MS, Swiler LP, Mahadevan S, McFarland J (2008) Efficient global reliability analysis for nonlinear implicit performance functions. AIAA J 46(10):2459–2468CrossRef
Zurück zum Zitat Bischl B, Wessing S, Bauer N, Friedrichs K, Weihs C et al (2014) MOI-MBO: Multiobjective infill for parallel model-based optimization. In: Pardalos PM (ed) LION 2014, LNCS, vol 8426., pp 173–186. doi:10.1007/978-3-319-09584-4 Bischl B, Wessing S, Bauer N, Friedrichs K, Weihs C et al (2014) MOI-MBO: Multiobjective infill for parallel model-based optimization. In: Pardalos PM (ed) LION 2014, LNCS, vol 8426., pp 173–186. doi:10.​1007/​978-3-319-09584-4
Zurück zum Zitat Booker AJ, Dennis JE, Frank PD, Serafini DB, Trosset MW (1999) A rigorous framework for optimization of expensive functions by surrogates. Struct Multidiscip Optim 17(1):1–13CrossRef Booker AJ, Dennis JE, Frank PD, Serafini DB, Trosset MW (1999) A rigorous framework for optimization of expensive functions by surrogates. Struct Multidiscip Optim 17(1):1–13CrossRef
Zurück zum Zitat Chaudhuri A, Haftka RT, Ifju P, Chang K, Tyler C, Schmitz T (2015) Experimental flapping wing optimization and uncertainty quantification with limited samples. Struct Multidiscip Optim 51(4):957–970. doi:10.1007/s00158-014-1184-x CrossRef Chaudhuri A, Haftka RT, Ifju P, Chang K, Tyler C, Schmitz T (2015) Experimental flapping wing optimization and uncertainty quantification with limited samples. Struct Multidiscip Optim 51(4):957–970. doi:10.​1007/​s00158-014-1184-x CrossRef
Zurück zum Zitat Chevalier C, and Ginsbourger D (2013) Fast computation of the multi-points expected improvement with applications in batch selection, In Learning and Intelligent Optimization, Springer, pp. 59–69 Chevalier C, and Ginsbourger D (2013) Fast computation of the multi-points expected improvement with applications in batch selection, In Learning and Intelligent Optimization, Springer, pp. 59–69
Zurück zum Zitat Contal E, Buffoni D, Robicquet A, and Vayatis N (2013) Parallel Gaussian Process Optimization with Upper Confidence Bound and Pure Exploration, Proceedings of Machine Learning and Knowledge Discovery in Databases, European Conference ECML PKDD 2013, Part I, 225–240 Contal E, Buffoni D, Robicquet A, and Vayatis N (2013) Parallel Gaussian Process Optimization with Upper Confidence Bound and Pure Exploration, Proceedings of Machine Learning and Knowledge Discovery in Databases, European Conference ECML PKDD 2013, Part I, 225–240
Zurück zum Zitat Desautels T, Krause A, Burdick JW (2014) Parallelizing exploration-exploitation tradeoffs with gaussian process bandit optimization. J Mach Learn Res 15(1):3873–3923MathSciNetMATH Desautels T, Krause A, Burdick JW (2014) Parallelizing exploration-exploitation tradeoffs with gaussian process bandit optimization. J Mach Learn Res 15(1):3873–3923MathSciNetMATH
Zurück zum Zitat Dıaz-Manrıquez A, Toscano-Pulido G, and Gomez-Flores W (2011) On the Selection of Surrogate Models in Evolutionary Optimization Algorithms, IEEE Congress on Evolutionary Computation, 2155–2162 Dıaz-Manrıquez A, Toscano-Pulido G, and Gomez-Flores W (2011) On the Selection of Surrogate Models in Evolutionary Optimization Algorithms, IEEE Congress on Evolutionary Computation, 2155–2162
Zurück zum Zitat Durfee EH, Lesser VR, Corkill DD (1989) Trends in cooperative distributed problem solving. IEEE Trans Knowl Data Eng 1(1):63–83CrossRef Durfee EH, Lesser VR, Corkill DD (1989) Trends in cooperative distributed problem solving. IEEE Trans Knowl Data Eng 1(1):63–83CrossRef
Zurück zum Zitat Epitropakis MG, Plagianakos VP and Vrahatis MN (2011) Finding multiple global optima exploiting differential evolution’s niching capability, In IEEE Symposium on Differential Evolution (SDE), pp. 1–8. Epitropakis MG, Plagianakos VP and Vrahatis MN (2011) Finding multiple global optima exploiting differential evolution’s niching capability, In IEEE Symposium on Differential Evolution (SDE), pp. 1–8.
Zurück zum Zitat Frazier PI (2012) Parallel global optimization using an improved multi-points expected improvement criterion. In INFORMS Optimization Society Conference, Miami Frazier PI (2012) Parallel global optimization using an improved multi-points expected improvement criterion. In INFORMS Optimization Society Conference, Miami
Zurück zum Zitat Ginsbourger D, Le Riche R, and Carraro L (2007), A multi-points criterion for deterministic parallel global optimization based on kriging, International Conference on Nonconvex Programming, Rouen, France Ginsbourger D, Le Riche R, and Carraro L (2007), A multi-points criterion for deterministic parallel global optimization based on kriging, International Conference on Nonconvex Programming, Rouen, France
Zurück zum Zitat Ginsbourger D, Le Riche R and Carraro L (2010) Computational Intelligence in Expensive Optimization Problems, chapter “Kriging is well-suited to parallelize optimization”, Studies in Evolutionary Learning and Optimization, Springer-Verlag Ginsbourger D, Le Riche R and Carraro L (2010) Computational Intelligence in Expensive Optimization Problems, chapter “Kriging is well-suited to parallelize optimization”, Studies in Evolutionary Learning and Optimization, Springer-Verlag
Zurück zum Zitat Glaz B, Goel T, Liu L, Friedmann PP, Haftka RT (2009) Multiple-surrogate approach to helicopter rotor blade vibration reduction. AIAA J 47(1):271–282CrossRef Glaz B, Goel T, Liu L, Friedmann PP, Haftka RT (2009) Multiple-surrogate approach to helicopter rotor blade vibration reduction. AIAA J 47(1):271–282CrossRef
Zurück zum Zitat Goel T, Haftka RT, Shyy W, Queipo NV (2007) Ensemble of multiple surrogates. Struct Multidiscip Optim 33(3):199–216CrossRef Goel T, Haftka RT, Shyy W, Queipo NV (2007) Ensemble of multiple surrogates. Struct Multidiscip Optim 33(3):199–216CrossRef
Zurück zum Zitat Harrison PN, Le Riche R and Haftka RT (1995) Design of Stiffened Composite Panels by Genetic Algorithm and Response Surface Approximations, AIAA Paper 95–1163, Proceedings, 36th AiAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, April 10–12, New Orleans, LA, Part 1, pp. 58–68 Harrison PN, Le Riche R and Haftka RT (1995) Design of Stiffened Composite Panels by Genetic Algorithm and Response Surface Approximations, AIAA Paper 95–1163, Proceedings, 36th AiAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, April 10–12, New Orleans, LA, Part 1, pp. 58–68
Zurück zum Zitat Hart WE, Krasnogor N, Smith JE (2005) Memetic evolutionary algorithms, in recent advances in memetic algorithms. Springer, Berlin, pp 3–27CrossRefMATH Hart WE, Krasnogor N, Smith JE (2005) Memetic evolutionary algorithms, in recent advances in memetic algorithms. Springer, Berlin, pp 3–27CrossRefMATH
Zurück zum Zitat Hennig P and Schuler C J (2012) Entropy search for information-efficient global optimization. The Journal of Machine Learning Research 13(1): 1809-1837 Hennig P and Schuler C J (2012) Entropy search for information-efficient global optimization. The Journal of Machine Learning Research 13(1): 1809-1837
Zurück zum Zitat Hernández-Lobato J M, Hoffman M W and Ghahramani Z (2014) Predictive entropy search for efficient global optimization of black-box functions, In: Advances in Neural Information Processing Systems,pp 918-926 Hernández-Lobato J M, Hoffman M W and Ghahramani Z (2014) Predictive entropy search for efficient global optimization of black-box functions, In: Advances in Neural Information Processing Systems,pp 918-926
Zurück zum Zitat Holmstrom K (2008) An adaptive radial basis algorithm (ARBF) for expensive black-box global optimization. J Glob Optim 41(3):447–464MathSciNetCrossRefMATH Holmstrom K (2008) An adaptive radial basis algorithm (ARBF) for expensive black-box global optimization. J Glob Optim 41(3):447–464MathSciNetCrossRefMATH
Zurück zum Zitat Horn J, Nafpliotis N, and Goldberg, DE (1994) A niched Pareto genetic algorithm for multiobjective optimization, In Proceedings of the First IEEE Conference on Evolutionary Computation, IEEE World Congress on Computational Intelligence, 82–87 Horn J, Nafpliotis N, and Goldberg, DE (1994) A niched Pareto genetic algorithm for multiobjective optimization, In Proceedings of the First IEEE Conference on Evolutionary Computation, IEEE World Congress on Computational Intelligence, 82–87
Zurück zum Zitat Hu W, Yao LG, Hua ZZ (2008) Optimization of sheet metal forming processes by adaptive response surface based on intelligence sampling method. J Mater Process Technol 197(1–3):77–88CrossRef Hu W, Yao LG, Hua ZZ (2008) Optimization of sheet metal forming processes by adaptive response surface based on intelligence sampling method. J Mater Process Technol 197(1–3):77–88CrossRef
Zurück zum Zitat Hu W, Li E, Yao G (2009) The least square support vector regression with parallel sampling scheme metamodeling technique and application in sheet forming optimization. Mater Des 30:1468–1479CrossRef Hu W, Li E, Yao G (2009) The least square support vector regression with parallel sampling scheme metamodeling technique and application in sheet forming optimization. Mater Des 30:1468–1479CrossRef
Zurück zum Zitat Janusevskis J, Le Riche R, Ginsbourger D, Girdziusas R (2012) Expected improvements for the asynchronous parallel global optimization of expensive functions: potentials and challenges, in learning and intelligent optimization. Springer, Berlin, pp 413–418 Janusevskis J, Le Riche R, Ginsbourger D, Girdziusas R (2012) Expected improvements for the asynchronous parallel global optimization of expensive functions: potentials and challenges, in learning and intelligent optimization. Springer, Berlin, pp 413–418
Zurück zum Zitat Jin Y (2005) A comprehensive survey of fitness approximation in evolutionary computation. Soft Comput 9(1):3–12CrossRef Jin Y (2005) A comprehensive survey of fitness approximation in evolutionary computation. Soft Comput 9(1):3–12CrossRef
Zurück zum Zitat Jin Y (2011) Surrogate-assisted evolutionary computation: recent advances and future challenges. Swarm Evol Comput 1(2):61–70CrossRef Jin Y (2011) Surrogate-assisted evolutionary computation: recent advances and future challenges. Swarm Evol Comput 1(2):61–70CrossRef
Zurück zum Zitat Jones DR, Perttunen CD, Stuckman BE (1993) Lipschitzan optimization without the lipschitz constant. J Optim Theory Appl 79(1):157–181MathSciNetCrossRefMATH Jones DR, Perttunen CD, Stuckman BE (1993) Lipschitzan optimization without the lipschitz constant. J Optim Theory Appl 79(1):157–181MathSciNetCrossRefMATH
Zurück zum Zitat Jones DR, Schonlau M, Welch WJ (1998) Efficient global optimization of expensive black-Box functions. J Glob Optim 13(4):455–492MathSciNetCrossRefMATH Jones DR, Schonlau M, Welch WJ (1998) Efficient global optimization of expensive black-Box functions. J Glob Optim 13(4):455–492MathSciNetCrossRefMATH
Zurück zum Zitat Kogiso N, Watson LT, Gürdal Z, Haftka RT (1994) Genetic algorithms with local improvement for composite laminate design. Struct Optimiz 7(4):207–218CrossRef Kogiso N, Watson LT, Gürdal Z, Haftka RT (1994) Genetic algorithms with local improvement for composite laminate design. Struct Optimiz 7(4):207–218CrossRef
Zurück zum Zitat Krause A and Ong CS (2011) Contextual gaussian process bandit optimization, In Advances in Neural Information Processing Systems, 2447–2455 Krause A and Ong CS (2011) Contextual gaussian process bandit optimization, In Advances in Neural Information Processing Systems, 2447–2455
Zurück zum Zitat Kushner HJ (1964) A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise. J Basic Eng 86(1):97–106MathSciNetCrossRef Kushner HJ (1964) A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise. J Basic Eng 86(1):97–106MathSciNetCrossRef
Zurück zum Zitat Le Riche R, Haftka RT (1993) Optimization of laminate stacking sequence for buckling load maximization by genetic algorithm. AIAA J 31(5):951–956CrossRefMATH Le Riche R, Haftka RT (1993) Optimization of laminate stacking sequence for buckling load maximization by genetic algorithm. AIAA J 31(5):951–956CrossRefMATH
Zurück zum Zitat Li Z, Ruan S, Gu J, Wang X, and Shen C (2016) Investigation on parallel algorithms in efficient global optimization based on multiple points infill criterion and domain decomposition. Structural and Multidisciplinary Optimization. doi:10.1007/s00158-016-1441-2 Li Z, Ruan S, Gu J, Wang X, and Shen C (2016) Investigation on parallel algorithms in efficient global optimization based on multiple points infill criterion and domain decomposition. Structural and Multidisciplinary Optimization. doi:10.​1007/​s00158-016-1441-2
Zurück zum Zitat M.Gorges-Schleuter (1989) “ASPARAGOS An Asynchronous Parallel Genetic Optimisation Strategy”. Procs. of the 3rd ICGA, J. D. Schaffer (ed.), Morgan Kaufmann, pp. 422–427 M.Gorges-Schleuter (1989) “ASPARAGOS An Asynchronous Parallel Genetic Optimisation Strategy”. Procs. of the 3rd ICGA, J. D. Schaffer (ed.), Morgan Kaufmann, pp. 422–427
Zurück zum Zitat Mockus J, Tiesis V and Zilinskas A (1978) The application of Bayesian methods for seeking the extremum, in L.C.W. Dixon and G.P. Szego (eds.), Towards Global Optimisation, Vol.2, pp. 117–129. North Holland, Amsterdam Mockus J, Tiesis V and Zilinskas A (1978) The application of Bayesian methods for seeking the extremum, in L.C.W. Dixon and G.P. Szego (eds.), Towards Global Optimisation, Vol.2, pp. 117–129. North Holland, Amsterdam
Zurück zum Zitat Müller J, Piché R (2011) Mixture surrogate models based on Dempster-Shafer theory for global optimization. J Glob Optim 60:123–144MathSciNetCrossRefMATH Müller J, Piché R (2011) Mixture surrogate models based on Dempster-Shafer theory for global optimization. J Glob Optim 60:123–144MathSciNetCrossRefMATH
Zurück zum Zitat Müller J, Shoemaker CA (2014) Influence of ensemble surrogate models and sampling strategy on the solution quality of algorithms for computationally expensive black-box global optimization problems. J Glob Optim 51:79–104MathSciNetCrossRefMATH Müller J, Shoemaker CA (2014) Influence of ensemble surrogate models and sampling strategy on the solution quality of algorithms for computationally expensive black-box global optimization problems. J Glob Optim 51:79–104MathSciNetCrossRefMATH
Zurück zum Zitat Ong YS, Nair PB, Keane AJ (2003) Evolutionary optimization of computationally expensive problems via surrogate modeling. AIAA J 41(4):687–696CrossRef Ong YS, Nair PB, Keane AJ (2003) Evolutionary optimization of computationally expensive problems via surrogate modeling. AIAA J 41(4):687–696CrossRef
Zurück zum Zitat Parno MD, Hemker T, Fowler KR (2012) Applicability of surrogates toimprove efficiency of particle swarm optimization for simulation-based problems. Eng Optim 44(5):521–535CrossRef Parno MD, Hemker T, Fowler KR (2012) Applicability of surrogates toimprove efficiency of particle swarm optimization for simulation-based problems. Eng Optim 44(5):521–535CrossRef
Zurück zum Zitat Parr JM, Keane AJ, Forrester AIJ, Holden CME (2012) Infill sampling criteria for surrogate-based optimization with constraint handling. Eng Optim 44(10):1147–1166CrossRefMATH Parr JM, Keane AJ, Forrester AIJ, Holden CME (2012) Infill sampling criteria for surrogate-based optimization with constraint handling. Eng Optim 44(10):1147–1166CrossRefMATH
Zurück zum Zitat Peri D and Tinti F (2012) A multistart gradient-based algorithm with surrogate model for global optimization, Communications in Applied and Industrial Mathematics, 3(1) Peri D and Tinti F (2012) A multistart gradient-based algorithm with surrogate model for global optimization, Communications in Applied and Industrial Mathematics, 3(1)
Zurück zum Zitat Pettey C, Leuze MR, Grefenstette J (1987) “A Parallel Genetic Algorithm”. Proceedings of the 2nd ICGA, J. Grefenstette (ed.), Lawrence Erlbraum Associates, pp. 155–161 Pettey C, Leuze MR, Grefenstette J (1987) “A Parallel Genetic Algorithm”. Proceedings of the 2nd ICGA, J. Grefenstette (ed.), Lawrence Erlbraum Associates, pp. 155–161
Zurück zum Zitat Picheny V, Ginsbourger D, Roustant O, Haftka RT and Kim N (2010) Adaptive design of experiments for accurate approximation of a target region, J Mech Des 132 (7) Picheny V, Ginsbourger D, Roustant O, Haftka RT and Kim N (2010) Adaptive design of experiments for accurate approximation of a target region, J Mech Des 132 (7)
Zurück zum Zitat Ranjan P, Bingham D, Michailidis G (2008) Sequential experiment design for contour estimation from complex computer codes. Technometrics 50(4):527–541MathSciNetCrossRef Ranjan P, Bingham D, Michailidis G (2008) Sequential experiment design for contour estimation from complex computer codes. Technometrics 50(4):527–541MathSciNetCrossRef
Zurück zum Zitat Regis RG (2014) Particle swarm with radial basis function surrogates for expensive black-box optimization. J Comput Sci 5(1):12–23MathSciNetCrossRef Regis RG (2014) Particle swarm with radial basis function surrogates for expensive black-box optimization. J Comput Sci 5(1):12–23MathSciNetCrossRef
Zurück zum Zitat Regis RG (2015) Trust Regions in Surrogate-Assisted Evolutionary Programming for Constrained Expensive Black-Box Optimization, Evolutionary Constrained Optimization, S Infosys Science Foundation Series, 51–94 Regis RG (2015) Trust Regions in Surrogate-Assisted Evolutionary Programming for Constrained Expensive Black-Box Optimization, Evolutionary Constrained Optimization, S Infosys Science Foundation Series, 51–94
Zurück zum Zitat Regis RG, Shoemaker CA (2005) Constrained global optimization of expensive black box functions using radial basis functions. J Glob Optim 31(1):153–171MathSciNetCrossRefMATH Regis RG, Shoemaker CA (2005) Constrained global optimization of expensive black box functions using radial basis functions. J Glob Optim 31(1):153–171MathSciNetCrossRefMATH
Zurück zum Zitat Regis RG, Shoemaker CA (2007a) Parallel radial basis function methods for the global optimization of expensive functions. Eur J Oper Res 182(2):514–535MathSciNetCrossRefMATH Regis RG, Shoemaker CA (2007a) Parallel radial basis function methods for the global optimization of expensive functions. Eur J Oper Res 182(2):514–535MathSciNetCrossRefMATH
Zurück zum Zitat Regis RG, Shoemaker CA (2007b) Stochastic radial basis function method for the global optimization of expensive functions. INFORMS J Comput 19(4):497–509MathSciNetCrossRefMATH Regis RG, Shoemaker CA (2007b) Stochastic radial basis function method for the global optimization of expensive functions. INFORMS J Comput 19(4):497–509MathSciNetCrossRefMATH
Zurück zum Zitat Regis RG, Shoemaker CA (2009) Parallel stochastic global optimization using radial basis functions. INFORMS J Comput 21(3):411–426MathSciNetCrossRefMATH Regis RG, Shoemaker CA (2009) Parallel stochastic global optimization using radial basis functions. INFORMS J Comput 21(3):411–426MathSciNetCrossRefMATH
Zurück zum Zitat Rosales-Perez A, Coello Coello CA, Gonzales JA, Reyes-Garcia CA, and Escalante HJ (2013) A Hybrid Surrogate-Based Approach for Evolutionary Multi-Objective Optimization, IEEE Congress on Evolutionary Computation, 2548–2555 Rosales-Perez A, Coello Coello CA, Gonzales JA, Reyes-Garcia CA, and Escalante HJ (2013) A Hybrid Surrogate-Based Approach for Evolutionary Multi-Objective Optimization, IEEE Congress on Evolutionary Computation, 2548–2555
Zurück zum Zitat Sareni B, Krähenbühl L (1998) Fitness sharing and niching methods revisited. IEEE Trans Evol Comput 2(3):97–106CrossRef Sareni B, Krähenbühl L (1998) Fitness sharing and niching methods revisited. IEEE Trans Evol Comput 2(3):97–106CrossRef
Zurück zum Zitat Sasena M (2002) Flexibility and Efficiency Enhancements for Constrained Global Design Optimization With Kriging Approximations, Ph.D. thesis, University of Michigan, Ann Arbor, MI Sasena M (2002) Flexibility and Efficiency Enhancements for Constrained Global Design Optimization With Kriging Approximations, Ph.D. thesis, University of Michigan, Ann Arbor, MI
Zurück zum Zitat Schutte JF, Reinbolt JA, Fregly BJ, Haftka RT, George AD (2004) Parallel global optimization with the particle swarm algorithm. Int J Numer Methods Eng 61(13):2296–2315CrossRefMATH Schutte JF, Reinbolt JA, Fregly BJ, Haftka RT, George AD (2004) Parallel global optimization with the particle swarm algorithm. Int J Numer Methods Eng 61(13):2296–2315CrossRefMATH
Zurück zum Zitat Schutte JF, Haftka RT, Fregly BJ (2007) Improved global convergence probability using multiple independent optimizations. Int J Numer Methods Eng 71(6):678–702CrossRefMATH Schutte JF, Haftka RT, Fregly BJ (2007) Improved global convergence probability using multiple independent optimizations. Int J Numer Methods Eng 71(6):678–702CrossRefMATH
Zurück zum Zitat Shao T, Krishnamurthy S (2008) A clustering-based surrogate model updating approach to simulation-based engineering design. J Mech Des 130(4):041101CrossRef Shao T, Krishnamurthy S (2008) A clustering-based surrogate model updating approach to simulation-based engineering design. J Mech Des 130(4):041101CrossRef
Zurück zum Zitat Sobester A, Leary S, Keane AJ (2004) A parallel updating scheme for approximating and optimizing high fidelity computer simulations. Struct Multidiscip Optim 27(5):371–383CrossRef Sobester A, Leary S, Keane AJ (2004) A parallel updating scheme for approximating and optimizing high fidelity computer simulations. Struct Multidiscip Optim 27(5):371–383CrossRef
Zurück zum Zitat Spiessens P, Manderick B (1991) “A Massively Parallel Genetic Algorithm”. Proceedings of the 4th International Conference on Genetic Algorithms, R. K. Belew, L. B. Booker (eds.), Morgan Kaufmann, pp. 279–286 Spiessens P, Manderick B (1991) “A Massively Parallel Genetic Algorithm”. Proceedings of the 4th International Conference on Genetic Algorithms, R. K. Belew, L. B. Booker (eds.), Morgan Kaufmann, pp. 279–286
Zurück zum Zitat Srinivas N, Krause A, Kakade SM, and Seeger MW (2010) Gaussian process optimization in the bandit setting: No regret and experimental design, In Proceedings of the 27th International Conference on Machine Learning (ICML), 1015–1022 Srinivas N, Krause A, Kakade SM, and Seeger MW (2010) Gaussian process optimization in the bandit setting: No regret and experimental design, In Proceedings of the 27th International Conference on Machine Learning (ICML), 1015–1022
Zurück zum Zitat Srinivas N, Krause A, Kakade SM, Seeger MW (2012) Information theoretic regret bounds for gaussian process optimization in the bandit setting. Inf Theory IEEE Trans on 58(5):3250–3265MathSciNetCrossRef Srinivas N, Krause A, Kakade SM, Seeger MW (2012) Information theoretic regret bounds for gaussian process optimization in the bandit setting. Inf Theory IEEE Trans on 58(5):3250–3265MathSciNetCrossRef
Zurück zum Zitat Sun C, Jin Y, Zeng J, Yu Y (2015) A two-layer surrogate-assisted particle swarm optimization algorithm. Soft Comput 19:1461–1475CrossRef Sun C, Jin Y, Zeng J, Yu Y (2015) A two-layer surrogate-assisted particle swarm optimization algorithm. Soft Comput 19:1461–1475CrossRef
Zurück zum Zitat Syberfeldt S, Grimm H, Ng A and John RI (2008) A parallel surrogate-assisted multi-objective evolutionary algorithm for computationally expensive optimization problems, In Proceedings of Evolutionary Computation (IEEE World Congress on Computational Intelligence) Syberfeldt S, Grimm H, Ng A and John RI (2008) A parallel surrogate-assisted multi-objective evolutionary algorithm for computationally expensive optimization problems, In Proceedings of Evolutionary Computation (IEEE World Congress on Computational Intelligence)
Zurück zum Zitat Van Keulen F, Toropov VV (1999) The multi-point approximation methods in a parallel computing environment. ZAMM-J Appl Math Mech 79(S1):67–70CrossRefMATH Van Keulen F, Toropov VV (1999) The multi-point approximation methods in a parallel computing environment. ZAMM-J Appl Math Mech 79(S1):67–70CrossRefMATH
Zurück zum Zitat Venkataraman S, Haftka RT (2004) Structural optimization complexity: what has Moore’s law done for us? Struct Multidiscip Optim 28(6):375–387CrossRef Venkataraman S, Haftka RT (2004) Structural optimization complexity: what has Moore’s law done for us? Struct Multidiscip Optim 28(6):375–387CrossRef
Zurück zum Zitat Viana FAC and Haftka RT (2010) Surrogate-based global optimization with parallel simulations using the probability of improvement, 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Fort Worth, USA, September 13–15, AIAA 2010–9392 Viana FAC and Haftka RT (2010) Surrogate-based global optimization with parallel simulations using the probability of improvement, 13th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Fort Worth, USA, September 13–15, AIAA 2010–9392
Zurück zum Zitat Viana FAC, Haftka RT, Watson LT (2012) Sequential sampling for contour estimation with concurrent function evaluation. Struct Multidiscip Optim 45(4):615–618CrossRefMATH Viana FAC, Haftka RT, Watson LT (2012) Sequential sampling for contour estimation with concurrent function evaluation. Struct Multidiscip Optim 45(4):615–618CrossRefMATH
Zurück zum Zitat Viana FAC, Haftka RT, Watson LT (2013) Efficient global optimization algorithm assisted by multiple surrogate techniques. J Glob Optim 56(2):669–689CrossRefMATH Viana FAC, Haftka RT, Watson LT (2013) Efficient global optimization algorithm assisted by multiple surrogate techniques. J Glob Optim 56(2):669–689CrossRefMATH
Zurück zum Zitat Villanueva D, Haftka RT, Le Riche R and Picard G (2013) Locating Multiple Candidate Designs with Surrogate-Based Optimization, 10th World Congress on Structural and Multidisciplinary Optimization, Orlando, FL, USA Villanueva D, Haftka RT, Le Riche R and Picard G (2013) Locating Multiple Candidate Designs with Surrogate-Based Optimization, 10th World Congress on Structural and Multidisciplinary Optimization, Orlando, FL, USA
Zurück zum Zitat Villemonteix J, Vazquez E and Walter E (2009) An informational approach to the global optimization of expensive-to-evaluate functions. Journal Of Global Optimization 44(4): 509-534 Villemonteix J, Vazquez E and Walter E (2009) An informational approach to the global optimization of expensive-to-evaluate functions. Journal Of Global Optimization 44(4): 509-534
Zurück zum Zitat Wang GG (2003) Adaptive response surface method using inherited latin hypercube design points. J Mech Des 125(2):210–220CrossRef Wang GG (2003) Adaptive response surface method using inherited latin hypercube design points. J Mech Des 125(2):210–220CrossRef
Zurück zum Zitat Wang GG, Dong Z, Aitchison P (2001) Adaptive response surface method-a global optimization scheme for approximation-based design problems. Eng Optim 33(6):707–734CrossRef Wang GG, Dong Z, Aitchison P (2001) Adaptive response surface method-a global optimization scheme for approximation-based design problems. Eng Optim 33(6):707–734CrossRef
Zurück zum Zitat Wang L, Shan S, Wang GG (2004) Mode-pursuing sampling method for global optimization on expensive black-box functions. Eng Optim 36(4):419–438CrossRef Wang L, Shan S, Wang GG (2004) Mode-pursuing sampling method for global optimization on expensive black-box functions. Eng Optim 36(4):419–438CrossRef
Zurück zum Zitat Wang H, Li E, Li GY (2010) Parallel boundary and best neighbor searching sampling algorithms for drawbead design optimization in sheet metal forming. Struct Multidiscip Optim 41:309–324CrossRef Wang H, Li E, Li GY (2010) Parallel boundary and best neighbor searching sampling algorithms for drawbead design optimization in sheet metal forming. Struct Multidiscip Optim 41:309–324CrossRef
Zurück zum Zitat Wang H, Shan S, Wang GG, Li G (2011) Integrating least square support vector regression and mode pursuing sampling optimization for crashworthiness design. J Mech Des 133(4):041002. doi:10.1115/1.4003840 CrossRef Wang H, Shan S, Wang GG, Li G (2011) Integrating least square support vector regression and mode pursuing sampling optimization for crashworthiness design. J Mech Des 133(4):041002. doi:10.​1115/​1.​4003840 CrossRef
Zurück zum Zitat Watson LT, Baker CA (2001) A fully-distributed parallel global search algorithm. Eng Comput 18(1/2):155–169CrossRefMATH Watson LT, Baker CA (2001) A fully-distributed parallel global search algorithm. Eng Comput 18(1/2):155–169CrossRefMATH
Zurück zum Zitat Yang XS (2010) Nature-inspired metaheuristic algorithms. Luniver press, India Yang XS (2010) Nature-inspired metaheuristic algorithms. Luniver press, India
Zurück zum Zitat Zerpa LE, Queipo NV, Pintos S, Salager J-L (2005) An optimization methodology of alkaline–surfactant–polymer flooding processes using field scale numerical simulation and multiple surrogates. J Pet Sci Eng 47(3–4):197–208CrossRef Zerpa LE, Queipo NV, Pintos S, Salager J-L (2005) An optimization methodology of alkaline–surfactant–polymer flooding processes using field scale numerical simulation and multiple surrogates. J Pet Sci Eng 47(3–4):197–208CrossRef
Zurück zum Zitat Zhao D, Xue D (2011) A multi-surrogate approximation method for metamodeling. Eng Comput 27(2):139–153CrossRef Zhao D, Xue D (2011) A multi-surrogate approximation method for metamodeling. Eng Comput 27(2):139–153CrossRef
Zurück zum Zitat Zhou Z, Ong YS, Nair PB, Keane AJ and Lum KY (2007a) Combining Global and Local Surrogate Models to Accelerate Evolutionary Optimization, IEEE Transactions on Systems man, and Cybernetics MAN, —PART C: APPLICATIONS AND REVIEWS, VOL. 37, NO. 1 Zhou Z, Ong YS, Nair PB, Keane AJ and Lum KY (2007a) Combining Global and Local Surrogate Models to Accelerate Evolutionary Optimization, IEEE Transactions on Systems man, and Cybernetics MAN, —PART C: APPLICATIONS AND REVIEWS, VOL. 37, NO. 1
Zurück zum Zitat Zhou Z, Ong YS, Lim MH, Lee BS (2007b) Memetic algorithm using multi-surrogates for computationally expensive optimization problems. Soft Comput 11(10):957–971CrossRef Zhou Z, Ong YS, Lim MH, Lee BS (2007b) Memetic algorithm using multi-surrogates for computationally expensive optimization problems. Soft Comput 11(10):957–971CrossRef
Zurück zum Zitat Zhu P, Zhang S, Chen W (2015) Multi-point objective-oriented sequential sampling strategy for constrained robust design, engineering optimization strategy for constrained robust design. Eng Optim 47(3):287–307. doi:10.1080/0305215X.2014.887705 CrossRef Zhu P, Zhang S, Chen W (2015) Multi-point objective-oriented sequential sampling strategy for constrained robust design, engineering optimization strategy for constrained robust design. Eng Optim 47(3):287–307. doi:10.​1080/​0305215X.​2014.​887705 CrossRef
Metadaten
Titel
Parallel surrogate-assisted global optimization with expensive functions – a survey
verfasst von
Raphael T. Haftka
Diane Villanueva
Anirban Chaudhuri
Publikationsdatum
02.04.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 1/2016
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1432-3

Weitere Artikel der Ausgabe 1/2016

Structural and Multidisciplinary Optimization 1/2016 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.