Skip to main content
Erschienen in: Neural Computing and Applications 8/2018

03.01.2017 | Original Article

Reliability-based design optimization using the directional bat algorithm

Erschienen in: Neural Computing and Applications | Ausgabe 8/2018

Einloggen

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

search-config
loading …

Abstract

Reliability-based design optimization (RBDO) problems are important in engineering applications, but it is challenging to solve such problems. In this study, a new resolution method based on the directional bat algorithm (dBA) is presented. To overcome the difficulties in the evaluations of probabilistic constraints, the reliable design space concept has been applied to convert the yielded stochastic constrained optimization problem from the RBDO formulation into a deterministic constrained optimization problem. In addition, the ε-constraint handling technique has also been introduced to the dBA so that the algorithm can solve constrained optimization problem effectively. The new method has been applied to several engineering problems, and the results show that the new method can solve different varieties of RBDO problems efficiently. In fact, the obtained solutions are consistent with the best results in the literature.

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

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!

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
2.
6.
7.
10.
Zurück zum Zitat Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82(9):781–798CrossRef Lee KS, Geem ZW (2004) A new structural optimization method based on the harmony search algorithm. Comput Struct 82(9):781–798CrossRef
12.
Zurück zum Zitat Davis L (1991) Handbook of genetic algorithms, vol 115. Van Nostrand Reinhold, New York Davis L (1991) Handbook of genetic algorithms, vol 115. Van Nostrand Reinhold, New York
14.
Zurück zum Zitat Eberhart RC, Yuhui S (2001) Particle swarm optimization: developments, applications and resources. In: Proceedings of the 2001 congress on evolutionary computation Seoul, vol 81, pp 81–86. doi:10.1109/cec.2001.934374 Eberhart RC, Yuhui S (2001) Particle swarm optimization: developments, applications and resources. In: Proceedings of the 2001 congress on evolutionary computation Seoul, vol 81, pp 81–86. doi:10.​1109/​cec.​2001.​934374
19.
Zurück zum Zitat Yang X-S (2010) A new metaheuristic bat-inspired algorithm. In: González J, Pelta D, Cruz C, Terrazas G, Krasnogor N (eds) Nature inspired cooperative strategies for optimization (NICSO 2010), vol 284. Studies in computational intelligence. Springer, Berlin, pp 65–74. doi:10.1007/978-3-642-12538-6_6 CrossRef Yang X-S (2010) A new metaheuristic bat-inspired algorithm. In: González J, Pelta D, Cruz C, Terrazas G, Krasnogor N (eds) Nature inspired cooperative strategies for optimization (NICSO 2010), vol 284. Studies in computational intelligence. Springer, Berlin, pp 65–74. doi:10.​1007/​978-3-642-12538-6_​6 CrossRef
22.
Zurück zum Zitat Gandomi AH, Yang X-S, Alavi AH, Talatahari S (2013) Bat algorithm for constrained optimization tasks. Neural Comput Appl 22(6):1239–1255CrossRef Gandomi AH, Yang X-S, Alavi AH, Talatahari S (2013) Bat algorithm for constrained optimization tasks. Neural Comput Appl 22(6):1239–1255CrossRef
25.
27.
Zurück zum Zitat Pan T-S, Dao T-K, Nguyen T-T, Chu S-C (2015) Genetic and evolutionary computing, vol 329. Advances in intelligent systems and computing. In: Sun H, Yang C-Y, Lin C-W, Pan J-S, Snasel V, Abraham A (eds) Hybrid particle swarm optimization with bat algorithm. Springer International Publishing, Berlin, pp 37–47. doi:10.1007/978-3-319-12286-1_5 CrossRef Pan T-S, Dao T-K, Nguyen T-T, Chu S-C (2015) Genetic and evolutionary computing, vol 329. Advances in intelligent systems and computing. In: Sun H, Yang C-Y, Lin C-W, Pan J-S, Snasel V, Abraham A (eds) Hybrid particle swarm optimization with bat algorithm. Springer International Publishing, Berlin, pp 37–47. doi:10.​1007/​978-3-319-12286-1_​5 CrossRef
28.
Zurück zum Zitat Nguyen T-T, Pan J-S, Dao T-K, Kuo M-Y, Horng M-F (2014) Intelligent data analysis and its applications, volume II, vol 298. Advances in intelligent systems and computing. In: Pan J-S, Snasel V, Corchado ES, Abraham A, Wang S-L (eds) Hybrid bat algorithm with artificial bee colony. Springer International Publishing, Berlin, pp 45–55. doi:10.1007/978-3-319-07773-4_5 CrossRef Nguyen T-T, Pan J-S, Dao T-K, Kuo M-Y, Horng M-F (2014) Intelligent data analysis and its applications, volume II, vol 298. Advances in intelligent systems and computing. In: Pan J-S, Snasel V, Corchado ES, Abraham A, Wang S-L (eds) Hybrid bat algorithm with artificial bee colony. Springer International Publishing, Berlin, pp 45–55. doi:10.​1007/​978-3-319-07773-4_​5 CrossRef
29.
Zurück zum Zitat Fister IJ, Fister D, Yang X-S (2013) A hybrid bat algorithm. Elektrotehniski Vestnik 80(1):1–7MATH Fister IJ, Fister D, Yang X-S (2013) A hybrid bat algorithm. Elektrotehniski Vestnik 80(1):1–7MATH
33.
Zurück zum Zitat Qin AK, Suganthan PN (2005) Self-adaptive differential evolution algorithm for numerical optimization. In: The 2005 IEEE congress on evolutionary computation, Edinburgh, vol 1782, pp 1785–1791. doi:10.1109/cec.2005.1554904 Qin AK, Suganthan PN (2005) Self-adaptive differential evolution algorithm for numerical optimization. In: The 2005 IEEE congress on evolutionary computation, Edinburgh, vol 1782, pp 1785–1791. doi:10.​1109/​cec.​2005.​1554904
34.
Zurück zum Zitat Auger A, Hansen N (2005) A restart CMA evolution strategy with increasing population size. Paper presented at the 2005 IEEE congress on evolutionary computation, Edinburgh Auger A, Hansen N (2005) A restart CMA evolution strategy with increasing population size. Paper presented at the 2005 IEEE congress on evolutionary computation, Edinburgh
35.
Zurück zum Zitat Takahama T, Sakai S (2006) Constrained optimization by the ε constrained differential evolution with gradient-based mutation and feasible elites. In: Evolutionary computation, 2006. CEC 2006. IEEE congress on, 2006. IEEE, pp 1–8 Takahama T, Sakai S (2006) Constrained optimization by the ε constrained differential evolution with gradient-based mutation and feasible elites. In: Evolutionary computation, 2006. CEC 2006. IEEE congress on, 2006. IEEE, pp 1–8
36.
Zurück zum Zitat Rashki M, Miri M, Moghaddam MA (2012) A new efficient simulation method to approximate the probability of failure and most probable point. Struct Saf 39:22–29CrossRef Rashki M, Miri M, Moghaddam MA (2012) A new efficient simulation method to approximate the probability of failure and most probable point. Struct Saf 39:22–29CrossRef
37.
Zurück zum Zitat Au S, Beck JL (1999) A new adaptive importance sampling scheme for reliability calculations. Struct Saf 21(2):135–158CrossRef Au S, Beck JL (1999) A new adaptive importance sampling scheme for reliability calculations. Struct Saf 21(2):135–158CrossRef
38.
Zurück zum Zitat Hasofer A, Lind NC (1974) An exact and invariant first order reliability format. ASCE J Eng Mech Div 100(1):111–121 Hasofer A, Lind NC (1974) An exact and invariant first order reliability format. ASCE J Eng Mech Div 100(1):111–121
39.
Zurück zum Zitat Rackwitz R, Flessler B (1978) Structural reliability under combined random load sequences. Comput Struct 9(5):489–494CrossRef Rackwitz R, Flessler B (1978) Structural reliability under combined random load sequences. Comput Struct 9(5):489–494CrossRef
40.
Zurück zum Zitat Breitung K (1984) Asymptotic approximations for multinormal integrals. J Eng Mech 110(3):357–366CrossRef Breitung K (1984) Asymptotic approximations for multinormal integrals. J Eng Mech 110(3):357–366CrossRef
41.
Zurück zum Zitat Tvedt L (1990) Distribution of quadratic forms in normal space-application to structural reliability. J Eng Mech 116(6):1183–1197CrossRef Tvedt L (1990) Distribution of quadratic forms in normal space-application to structural reliability. J Eng Mech 116(6):1183–1197CrossRef
43.
Zurück zum Zitat Wu Y-T, Wang W (1998) Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints. J Integr Des Process Sci SDPS Trans 2(4):13–21 Wu Y-T, Wang W (1998) Efficient probabilistic design by converting reliability constraints to approximately equivalent deterministic constraints. J Integr Des Process Sci SDPS Trans 2(4):13–21
46.
Zurück zum Zitat Madsen HO, Hansen PF (1992) Reliability and optimization of structural systems ’91, vol 76. Lecture notes in engineering. In: Rackwitz R, Thoft-Christensen P (eds) A comparison of some algorithms for reliability based structural optimization and sensitivity analysis. Springer, Berlin, pp 443–451. doi:10.1007/978-3-642-84753-0_34 CrossRef Madsen HO, Hansen PF (1992) Reliability and optimization of structural systems ’91, vol 76. Lecture notes in engineering. In: Rackwitz R, Thoft-Christensen P (eds) A comparison of some algorithms for reliability based structural optimization and sensitivity analysis. Springer, Berlin, pp 443–451. doi:10.​1007/​978-3-642-84753-0_​34 CrossRef
48.
Zurück zum Zitat Chen X, Hasselman T, Neill D (1997) Reliability based structural design optimization for practical applications. In: 38th structures, structural dynamics, and materials conference. Structures, structural dynamics, and materials and co-located conferences. American Institute of Aeronautics and Astronautics. doi:10.2514/6.1997-1403 Chen X, Hasselman T, Neill D (1997) Reliability based structural design optimization for practical applications. In: 38th structures, structural dynamics, and materials conference. Structures, structural dynamics, and materials and co-located conferences. American Institute of Aeronautics and Astronautics. doi:10.​2514/​6.​1997-1403
50.
Zurück zum Zitat Tolson BA, Maier HR, Simpson AR, Lence BJ (2004) Genetic algorithms for reliability-based optimization of water distribution systems. J Water Resour Plan Manag 130(1):63–72. doi:10.1061/(ASCE)0733-9496 CrossRef Tolson BA, Maier HR, Simpson AR, Lence BJ (2004) Genetic algorithms for reliability-based optimization of water distribution systems. J Water Resour Plan Manag 130(1):63–72. doi:10.​1061/​(ASCE)0733-9496 CrossRef
53.
54.
Zurück zum Zitat Papadrakakis M, Lagaros ND (2002) Reliability-based structural optimization using neural networks and Monte Carlo simulation. Comput Methods Appl Mech Eng 191(32):3491–3507CrossRef Papadrakakis M, Lagaros ND (2002) Reliability-based structural optimization using neural networks and Monte Carlo simulation. Comput Methods Appl Mech Eng 191(32):3491–3507CrossRef
57.
58.
Zurück zum Zitat Li Z, Tian G, Cheng G, Liu H, Cheng Z (2013) An integrated cultural particle swarm algorithm for multi-objective reliability-based design optimization. Proc Inst Mech Engt C J Mech Eng Sci 228(7):1185–1196. doi:10.1177/0954406213502589 CrossRef Li Z, Tian G, Cheng G, Liu H, Cheng Z (2013) An integrated cultural particle swarm algorithm for multi-objective reliability-based design optimization. Proc Inst Mech Engt C J Mech Eng Sci 228(7):1185–1196. doi:10.​1177/​0954406213502589​ CrossRef
59.
Zurück zum Zitat Kawaji S, Kogiso N (2013) Convergence improvement of reliability-based multiobjective optimization using hybrid MOPSO. Paper presented at the 10th world congress on structural and multidisciplinary optimization, Orlando Kawaji S, Kogiso N (2013) Convergence improvement of reliability-based multiobjective optimization using hybrid MOPSO. Paper presented at the 10th world congress on structural and multidisciplinary optimization, Orlando
60.
Zurück zum Zitat Liao K-W, Ivan G (2014) A single loop reliability-based design optimization using EPM and MPP-based PSO. Lat Am J Solids Struct 11(5):826–847CrossRef Liao K-W, Ivan G (2014) A single loop reliability-based design optimization using EPM and MPP-based PSO. Lat Am J Solids Struct 11(5):826–847CrossRef
65.
Zurück zum Zitat Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, New York, pp 39–43 Eberhart RC, Kennedy J (1995) A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, New York, pp 39–43
70.
Zurück zum Zitat Yin X, Chen W (2006) Enhanced sequential optimization and reliability assessment method for probabilistic optimization with varying design variance. Struct Infrastruct Eng 2(3–4):261–275CrossRef Yin X, Chen W (2006) Enhanced sequential optimization and reliability assessment method for probabilistic optimization with varying design variance. Struct Infrastruct Eng 2(3–4):261–275CrossRef
72.
Zurück zum Zitat JCSS (2000) Probabilistic model code. Joint Committee on Structural Safety, Denmark JCSS (2000) Probabilistic model code. Joint Committee on Structural Safety, Denmark
Metadaten
Titel
Reliability-based design optimization using the directional bat algorithm
Publikationsdatum
03.01.2017
Erschienen in
Neural Computing and Applications / Ausgabe 8/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-016-2797-3

Weitere Artikel der Ausgabe 8/2018

Neural Computing and Applications 8/2018 Zur Ausgabe