메뉴 건너뛰기




Volumn 55, Issue 6, 2017, Pages 2013-2028

Modified firefly algorithm for multidimensional optimization in structural design problems

Author keywords

Adaptive inertia weight; Chaotic maps; Enhanced firefly algorithm; L vy flight; Nature inspired optimization; Structural engineering design

Indexed keywords

BENCHMARKING; BIOLUMINESCENCE; CHAOTIC SYSTEMS; LYAPUNOV METHODS; SHAPE OPTIMIZATION; STRUCTURAL DESIGN; STRUCTURAL OPTIMIZATION; WEIGHT CONTROL;

EID: 85000900084     PISSN: 1615147X     EISSN: 16151488     Source Type: Journal    
DOI: 10.1007/s00158-016-1624-x     Document Type: Article
Times cited : (64)

References (84)
  • 1
    • 84926434305 scopus 로고    scopus 로고
    • Conceptual comparison of population based metaheuristics for engineering problems
    • Adekanmbi O, Green P (2015) Conceptual comparison of population based metaheuristics for engineering problems. Sci World J 2015:9
    • (2015) Sci World J , vol.2015 , pp. 9
    • Adekanmbi, O.1    Green, P.2
  • 2
    • 0036661345 scopus 로고    scopus 로고
    • A socio-behavioural simulation model for engineering design optimization
    • Akhtar S, Tai K, Ray T (2002) A socio-behavioural simulation model for engineering design optimization. Eng Optim 34(4):341–354
    • (2002) Eng Optim , vol.34 , Issue.4 , pp. 341-354
    • Akhtar, S.1    Tai, K.2    Ray, T.3
  • 3
    • 84935022470 scopus 로고    scopus 로고
    • Connection topology optimization of steel moment frames using metaheuristic algorithms
    • Alberdi R, Murren P, Khandelwal K (2015) Connection topology optimization of steel moment frames using metaheuristic algorithms. Eng Struct 100:276–292
    • (2015) Eng Struct , vol.100 , pp. 276-292
    • Alberdi, R.1    Murren, P.2    Khandelwal, K.3
  • 4
    • 84856005376 scopus 로고    scopus 로고
    • Design optimization with chaos embedded great deluge algorithm
    • Baykasoglu A (2012) Design optimization with chaos embedded great deluge algorithm. Appl Soft Comput 12(3):1055–1067
    • (2012) Appl Soft Comput , vol.12 , Issue.3 , pp. 1055-1067
    • Baykasoglu, A.1
  • 5
    • 84941558760 scopus 로고    scopus 로고
    • Weighted superposition attraction (WSA): a swarm intelligence algorithm for optimization problems – part 2: constrained optimization
    • Baykasoğlu A, Akpinar Ş (2015) Weighted superposition attraction (WSA): a swarm intelligence algorithm for optimization problems – part 2: constrained optimization. Appl Soft Comput 37:396–415
    • (2015) Appl Soft Comput , vol.37 , pp. 396-415
    • Baykasoğlu, A.1    Akpinar, Ş.2
  • 6
    • 84938839221 scopus 로고    scopus 로고
    • Adaptive firefly algorithm with chaos for mechanical design optimization problems
    • Baykasoğlu A, Ozsoydan FB (2015) Adaptive firefly algorithm with chaos for mechanical design optimization problems. Appl Soft Comput 36:152–164
    • (2015) Appl Soft Comput , vol.36 , pp. 152-164
    • Baykasoğlu, A.1    Ozsoydan, F.B.2
  • 7
    • 84942367734 scopus 로고    scopus 로고
    • Optimization of structures with unrestricted dynamic shakedown constraints
    • Benfratello S, Palizzolo L, Tabbuso P (2015) Optimization of structures with unrestricted dynamic shakedown constraints. Struct Multidiscip Optim 52(3):431–445
    • (2015) Struct Multidiscip Optim , vol.52 , Issue.3 , pp. 431-445
    • Benfratello, S.1    Palizzolo, L.2    Tabbuso, P.3
  • 8
    • 79955188444 scopus 로고    scopus 로고
    • A hybrid genetic algorithm for constrained optimization problems in mechanical engineering. IEEE Congress on Evolutionary Computation, IEEE
    • Bernardino HS, Barbosa IJC, Lemonge A (2007) A hybrid genetic algorithm for constrained optimization problems in mechanical engineering. IEEE Congress on Evolutionary Computation, IEEE, Piscataway, p 646–653
    • (2007) Piscataway , pp. 646-653
    • Bernardino, H.S.1    Barbosa, I.J.C.2    Lemonge, A.3
  • 9
    • 84901626627 scopus 로고    scopus 로고
    • Symbiotic organisms search: a new metaheuristic optimization algorithm
    • Cheng M-Y, Prayogo D (2014) Symbiotic organisms search: a new metaheuristic optimization algorithm. Comput Struct 139:98–112
    • (2014) Comput Struct , vol.139 , pp. 98-112
    • Cheng, M.-Y.1    Prayogo, D.2
  • 10
    • 0030108558 scopus 로고    scopus 로고
    • Structural optimization using a new local approximation method
    • Chickermane H, Gea HC (1996) Structural optimization using a new local approximation method. Int J Numer Methods Eng 39(5):829–846
    • (1996) Int J Numer Methods Eng , vol.39 , Issue.5 , pp. 829-846
    • Chickermane, H.1    Gea, H.C.2
  • 11
    • 84973111565 scopus 로고    scopus 로고
    • Time series analytics using sliding window metaheuristic optimization-based machine learning system for identifying building energy consumption patterns
    • Chou J-S, Ngo N-T (2016) Time series analytics using sliding window metaheuristic optimization-based machine learning system for identifying building energy consumption patterns. Appl Energy 177:751–770
    • (2016) Appl Energy , vol.177 , pp. 751-770
    • Chou, J.-S.1    Ngo, N.-T.2
  • 12
    • 84952333479 scopus 로고    scopus 로고
    • Shear strength prediction in reinforced concrete deep beams using nature-inspired metaheuristic support vector regression
    • Chou J-S, Ngo N-T, Pham A-D (2016) Shear strength prediction in reinforced concrete deep beams using nature-inspired metaheuristic support vector regression. J Comput Civ Eng 30(1):04015002
    • (2016) J Comput Civ Eng , vol.30 , Issue.1 , pp. 04015002
    • Chou, J.-S.1    Ngo, N.-T.2    Pham, A.-D.3
  • 13
    • 84875414061 scopus 로고    scopus 로고
    • Backtracking search optimization algorithm for numerical optimization problems
    • Civicioglu P (2013) Backtracking search optimization algorithm for numerical optimization problems. Appl Math Comput 219(15):8121–8144
    • (2013) Appl Math Comput , vol.219 , Issue.15 , pp. 8121-8144
    • Civicioglu, P.1
  • 14
    • 84873688827 scopus 로고    scopus 로고
    • Improved firefly algorithm approach applied to chiller loading for energy conservation
    • Coelho L d S, Mariani VC (2013) Improved firefly algorithm approach applied to chiller loading for energy conservation. Energ Buildings 59:273–278
    • (2013) Energ Buildings , vol.59 , pp. 273-278
    • Coelho, L.S.1    Mariani, V.C.2
  • 15
    • 84880120844 scopus 로고    scopus 로고
    • Exploration and exploitation in evolutionary algorithms: a survey
    • Črepinšek M, Liu S-H, Mernik M (2013) Exploration and exploitation in evolutionary algorithms: a survey. ACM Comput Surv 45(3):1–33
    • (2013) ACM Comput Surv , vol.45 , Issue.3 , pp. 1-33
    • Črepinšek, M.1    Liu, S.-H.2    Mernik, M.3
  • 16
    • 67349097105 scopus 로고    scopus 로고
    • Model-free adaptive control optimization using a chaotic particle swarm approach
    • Dos Santos Coelho L, Coelho AAR (2009) Model-free adaptive control optimization using a chaotic particle swarm approach. Chaos, Solitons Fractals 41(4):2001–2009
    • (2009) Chaos, Solitons Fractals , vol.41 , Issue.4 , pp. 2001-2009
    • Dos Santos Coelho, L.1    Coelho, A.A.R.2
  • 17
    • 84958655483 scopus 로고    scopus 로고
    • Challenges of using topology optimization for the design of pressurized stiffened panels
    • Dugré A, Vadean A, Chaussée J (2016) Challenges of using topology optimization for the design of pressurized stiffened panels. Struct Multidiscip Optim 53(2):303–320
    • (2016) Struct Multidiscip Optim , vol.53 , Issue.2 , pp. 303-320
    • Dugré, A.1    Vadean, A.2    Chaussée, J.3
  • 18
    • 0029517385 scopus 로고
    • A new optimizer using particle swarm theory. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, IEEE
    • Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, IEEE, Piscataway, p 39–43
    • (1995) Piscataway , pp. 39-43
    • Eberhart, R.1    Kennedy, J.2
  • 19
    • 44749086748 scopus 로고    scopus 로고
    • Hybridizing harmony search algorithm with sequential quadratic programming for engineering optimization problems
    • Fesanghary M, Mahdavi M, Minary-Jolandan M, Alizadeh Y (2008) Hybridizing harmony search algorithm with sequential quadratic programming for engineering optimization problems. Comput Methods Appl Mech Eng 197(33–40):3080–3091
    • (2008) Comput Methods Appl Mech Eng , vol.197 , Issue.33-40 , pp. 3080-3091
    • Fesanghary, M.1    Mahdavi, M.2    Minary-Jolandan, M.3    Alizadeh, Y.4
  • 21
    • 84881153268 scopus 로고    scopus 로고
    • Modified firefly algorithm using quaternion representation
    • Fister I, Yang X-S, Brest J, Fister I Jr (2013b) Modified firefly algorithm using quaternion representation. Expert Syst Appl 40(18):7220–7230
    • (2013) Expert Syst Appl , vol.40 , Issue.18 , pp. 7220-7230
    • Fister, I.1    Yang, X.-S.2    Brest, J.3    Fister, I.4
  • 22
    • 84920156256 scopus 로고    scopus 로고
    • A review of chaos-based firefly algorithms: perspectives and research challenges
    • Fister I Jr, Perc M, Kamal SM, Fister I (2015) A review of chaos-based firefly algorithms: perspectives and research challenges. Appl Math Comput 252:155–165
    • (2015) Appl Math Comput , vol.252 , pp. 155-165
    • Fister, I.1    Perc, M.2    Kamal, S.M.3    Fister, I.4
  • 23
    • 0022676236 scopus 로고
    • Structural optimization: a new dual method using mixed variables
    • Fleury C, Braibant V (1986) Structural optimization: a new dual method using mixed variables. Int J Numer Methods Eng 23(3):409–428
    • (1986) Int J Numer Methods Eng , vol.23 , Issue.3 , pp. 409-428
    • Fleury, C.1    Braibant, V.2
  • 24
    • 84944811700 scopus 로고
    • The use of ranks to avoid the assumption of normality implicit in the analysis of variance
    • Friedman M (1937) The use of ranks to avoid the assumption of normality implicit in the analysis of variance. J Am Stat Assoc 32(200):675–701
    • (1937) J Am Stat Assoc , vol.32 , Issue.200 , pp. 675-701
    • Friedman, M.1
  • 25
    • 0001837148 scopus 로고
    • A comparison of alternative tests of significance for the problem of m rankings
    • Friedman M (1940) A comparison of alternative tests of significance for the problem of m rankings. Ann Math Stat 11(1):86–92
    • (1940) Ann Math Stat , vol.11 , Issue.1 , pp. 86-92
    • Friedman, M.1
  • 26
    • 80055049702 scopus 로고    scopus 로고
    • Mixed variable structural optimization using firefly algorithm
    • Gandomi AH, Yang X-S, Alavi AH (2011) Mixed variable structural optimization using firefly algorithm. Comput Struct 89(23–24):2325–2336
    • (2011) Comput Struct , vol.89 , Issue.23-24 , pp. 2325-2336
    • Gandomi, A.H.1    Yang, X.-S.2    Alavi, A.H.3
  • 27
    • 84872341489 scopus 로고    scopus 로고
    • Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems
    • Gandomi A, Yang X-S, Alavi A (2013a) Cuckoo search algorithm: a metaheuristic approach to solve structural optimization problems. Eng Comput 29(1):17–35
    • (2013) Eng Comput , vol.29 , Issue.1 , pp. 17-35
    • Gandomi, A.1    Yang, X.-S.2    Alavi, A.3
  • 29
    • 0001042825 scopus 로고
    • Accelerated diffusion in Josephson junctions and related chaotic systems
    • Geisel T, Nierwetberg J, Zacherl A (1985) Accelerated diffusion in Josephson junctions and related chaotic systems. Phys Rev Lett 54(7):616–619
    • (1985) Phys Rev Lett , vol.54 , Issue.7 , pp. 616-619
    • Geisel, T.1    Nierwetberg, J.2    Zacherl, A.3
  • 33
    • 84889881995 scopus 로고    scopus 로고
    • A firefly metaheuristic structural size and shape optimisation with natural frequency constraints
    • Gomes H (2012) A firefly metaheuristic structural size and shape optimisation with natural frequency constraints. Int J Metaheuristics 2(1):38–85
    • (2012) Int J Metaheuristics , vol.2 , Issue.1 , pp. 38-85
    • Gomes, H.1
  • 34
    • 84939878446 scopus 로고    scopus 로고
    • Multi-objective topology optimization of multi-component continuum structures via a Kriging-interpolated level set approach
    • Guirguis D, Hamza K, Aly M, Hegazi H, Saitou K (2015) Multi-objective topology optimization of multi-component continuum structures via a Kriging-interpolated level set approach. Struct Multidiscip Optim 51(3):733–748
    • (2015) Struct Multidiscip Optim , vol.51 , Issue.3 , pp. 733-748
    • Guirguis, D.1    Hamza, K.2    Aly, M.3    Hegazi, H.4    Saitou, K.5
  • 35
    • 84904578549 scopus 로고    scopus 로고
    • A novel particle swarm optimization algorithm with Levy flight
    • Haklı H, Uğuz H (2014) A novel particle swarm optimization algorithm with Levy flight. Appl Soft Comput 23:333–345
    • (2014) Appl Soft Comput , vol.23 , pp. 333-345
    • Haklı, H.1    Uğuz, H.2
  • 36
    • 3042815918 scopus 로고    scopus 로고
    • An improved particle swarm optimizer for mechanical design optimization problems
    • He S, Prempain E, Wu QH (2004) An improved particle swarm optimizer for mechanical design optimization problems. Eng Optim 36(5):585-605
    • (2004) Eng Optim , vol.36 , Issue.5 , pp. 585-605
    • He, S.1    Prempain, E.2    Wu, Q.H.3
  • 37
    • 33746031813 scopus 로고    scopus 로고
    • Derivative-free filter simulated annealing method for constrained continuous global optimization
    • Hedar A-R, Fukushima M (2006) Derivative-free filter simulated annealing method for constrained continuous global optimization. J Glob Optim 35(4):521–549
    • (2006) J Glob Optim , vol.35 , Issue.4 , pp. 521-549
    • Hedar, A.-R.1    Fukushima, M.2
  • 38
    • 0003569092 scopus 로고
    • Manchester University Press, Manchester
    • Holden AV (1986) Chaos. Manchester University Press, Manchester
    • (1986) Chaos
    • Holden, A.V.1
  • 39
    • 78751627947 scopus 로고    scopus 로고
    • SVR with hybrid chaotic genetic algorithms for tourism demand forecasting
    • Hong W-C, Dong Y, Chen L-Y, Wei S-Y (2011) SVR with hybrid chaotic genetic algorithms for tourism demand forecasting. Appl Soft Comput 11(2):1881–1890
    • (2011) Appl Soft Comput , vol.11 , Issue.2 , pp. 1881-1890
    • Hong, W.-C.1    Dong, Y.2    Chen, L.-Y.3    Wei, S.-Y.4
  • 40
    • 0001750957 scopus 로고
    • Approximations of the critical region of the fbietkan statistic
    • Iman RL, Davenport JM (1980) Approximations of the critical region of the fbietkan statistic. Commun Stat -Theory Methods 9(6):571–595
    • (1980) Commun Stat -Theory Methods , vol.9 , Issue.6 , pp. 571-595
    • Iman, R.L.1    Davenport, J.M.2
  • 41
    • 77952126298 scopus 로고    scopus 로고
    • Two improved harmony search algorithms for solving engineering optimization problems
    • Jaberipour M, Khorram E (2010) Two improved harmony search algorithms for solving engineering optimization problems. Commun Nonlinear Sci Numer Simul 15(11):3316–3331
    • (2010) Commun Nonlinear Sci Numer Simul , vol.15 , Issue.11 , pp. 3316-3331
    • Jaberipour, M.1    Khorram, E.2
  • 42
    • 84890464528 scopus 로고    scopus 로고
    • A literature survey of benchmark functions for global optimization problems
    • Jamil M, Yang X-S (2013) A literature survey of benchmark functions for global optimization problems. Int J Math Model Numer Optim 4(2):150–194
    • (2013) Int J Math Model Numer Optim , vol.4 , Issue.2 , pp. 150-194
    • Jamil, M.1    Yang, X.-S.2
  • 43
    • 67349273050 scopus 로고    scopus 로고
    • A comparative study of artificial bee colony algorithm
    • Karaboga D, Akay B (2009) A comparative study of artificial bee colony algorithm. Appl Math Comput 214(1):108–132
    • (2009) Appl Math Comput , vol.214 , Issue.1 , pp. 108-132
    • Karaboga, D.1    Akay, B.2
  • 44
    • 35148821762 scopus 로고    scopus 로고
    • A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm
    • Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Glob Optim 39(3):459–471
    • (2007) J Glob Optim , vol.39 , Issue.3 , pp. 459-471
    • Karaboga, D.1    Basturk, B.2
  • 45
    • 84881627430 scopus 로고    scopus 로고
    • Support vector regression with chaos-based firefly algorithm for stock market price forecasting
    • Kazem A, Sharifi E, Hussain FK, Saberi M, Hussain OK (2013) Support vector regression with chaos-based firefly algorithm for stock market price forecasting. Appl Soft Comput 13(2):947–958
    • (2013) Appl Soft Comput , vol.13 , Issue.2 , pp. 947-958
    • Kazem, A.1    Sharifi, E.2    Hussain, F.K.3    Saberi, M.4    Hussain, O.K.5
  • 46
    • 84929623043 scopus 로고    scopus 로고
    • Use of optimization for automatic grouping of beam cross-section dimensions in reinforced concrete building structures
    • Kripka M, Medeiros GF, Lemonge ACC (2015) Use of optimization for automatic grouping of beam cross-section dimensions in reinforced concrete building structures. Eng Struct 99:311–318
    • (2015) Eng Struct , vol.99 , pp. 311-318
    • Kripka, M.1    Medeiros, G.F.2    Lemonge, A.C.C.3
  • 47
    • 84865863553 scopus 로고    scopus 로고
    • Metaheuristic design optimization of skeletal structures: a review
    • Lamberti L, Pappalettere C (2011) Metaheuristic design optimization of skeletal structures: a review. Comput Technol Rev 4:1–32
    • (2011) Comput Technol Rev , vol.4 , pp. 1-32
    • Lamberti, L.1    Pappalettere, C.2
  • 48
    • 20444466485 scopus 로고    scopus 로고
    • A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice
    • Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Methods Appl Mech Eng 194(36–38):3902–3933
    • (2005) Comput Methods Appl Mech Eng , vol.194 , Issue.36-38 , pp. 3902-3933
    • Lee, K.S.1    Geem, Z.W.2
  • 49
    • 0442327968 scopus 로고    scopus 로고
    • An adaptive penalty scheme for genetic algorithms in structural optimization
    • Lemonge ACC, Barbosa HJC (2004) An adaptive penalty scheme for genetic algorithms in structural optimization. Int J Numer Methods Eng 59(5):703–736
    • (2004) Int J Numer Methods Eng , vol.59 , Issue.5 , pp. 703-736
    • Lemonge, A.C.C.1    Barbosa, H.J.C.2
  • 51
    • 84937814729 scopus 로고    scopus 로고
    • Structural topology optimization for maximum linear buckling loads by using a moving iso-surface threshold method
    • Luo Q, Tong L (2015) Structural topology optimization for maximum linear buckling loads by using a moving iso-surface threshold method. Struct Multidiscip Optim 52(1):71–90
    • (2015) Struct Multidiscip Optim , vol.52 , Issue.1 , pp. 71-90
    • Luo, Q.1    Tong, L.2
  • 52
    • 34248141625 scopus 로고    scopus 로고
    • An improved harmony search algorithm for solving optimization problems
    • Mahdavi M, Fesanghary M, Damangir E (2007) An improved harmony search algorithm for solving optimization problems. Appl Math Comput 188(2):1567–1579
    • (2007) Appl Math Comput , vol.188 , Issue.2 , pp. 1567-1579
    • Mahdavi, M.1    Fesanghary, M.2    Damangir, E.3
  • 53
    • 0017185443 scopus 로고
    • Simple mathematical models with very complicated dynamics
    • May RM (1976) Simple mathematical models with very complicated dynamics. Nature 261(5560):459–467
    • (1976) Nature , vol.261 , Issue.5560 , pp. 459-467
    • May, R.M.1
  • 54
    • 84937765412 scopus 로고    scopus 로고
    • A novel bat algorithm with habitat selection and Doppler effect in echoes for optimization
    • Meng X-B, Gao XZ, Liu Y, Zhang H (2015) A novel bat algorithm with habitat selection and Doppler effect in echoes for optimization. Expert Syst Appl 42(17–18):6350–6364
    • (2015) Expert Syst Appl , vol.42 , Issue.17-18 , pp. 6350-6364
    • Meng, X.-B.1    Gao, X.Z.2    Liu, Y.3    Zhang, H.4
  • 55
    • 79954575354 scopus 로고    scopus 로고
    • A novel particle swarm optimization algorithm with adaptive inertia weight
    • Nickabadi A, Ebadzadeh MM, Safabakhsh R (2011) A novel particle swarm optimization algorithm with adaptive inertia weight. Appl Soft Comput 11(4):3658–3670
    • (2011) Appl Soft Comput , vol.11 , Issue.4 , pp. 3658-3670
    • Nickabadi, A.1    Ebadzadeh, M.M.2    Safabakhsh, R.3
  • 56
    • 84891848026 scopus 로고    scopus 로고
    • Comparative study of firefly algorithm and particle swarm optimization for noisy Non-linear optimization problems
    • Pal SK, Rai CS, Singh AP (2012) Comparative study of firefly algorithm and particle swarm optimization for noisy Non-linear optimization problems. Int J Intell Syst Appl 4(10):50–57
    • (2012) Int J Intell Syst Appl , vol.4 , Issue.10 , pp. 50-57
    • Pal, S.K.1    Rai, C.S.2    Singh, A.P.3
  • 57
    • 34548668658 scopus 로고    scopus 로고
    • Lévy flights, non-local search and simulated annealing
    • Pavlyukevich I (2007) Lévy flights, non-local search and simulated annealing. J Comput Phys 226(2):1830–1844
    • (2007) J Comput Phys , vol.226 , Issue.2 , pp. 1830-1844
    • Pavlyukevich, I.1
  • 58
    • 84904654527 scopus 로고    scopus 로고
    • A multistart gradient-based algorithm with surrogate model for global optimization
    • Peri D, Tinti F (2012) A multistart gradient-based algorithm with surrogate model for global optimization. Commun Appl Ind Math 3(1):1-22
    • (2012) Commun Appl Ind Math , vol.3 , Issue.1 , pp. 1-22
    • Peri, D.1    Tinti, F.2
  • 60
    • 84942373689 scopus 로고    scopus 로고
    • Benchmarking optimization solvers for structural topology optimization
    • Rojas-Labanda S, Stolpe M (2015) Benchmarking optimization solvers for structural topology optimization. Struct Multidiscip Optim 52(3):527–547
    • (2015) Struct Multidiscip Optim , vol.52 , Issue.3 , pp. 527-547
    • Rojas-Labanda, S.1    Stolpe, M.2
  • 61
    • 84940056670 scopus 로고    scopus 로고
    • Differential evolution for optimization of functionally graded beams
    • Roque CMC, Martins PALS (2015) Differential evolution for optimization of functionally graded beams. Compos Struct 133:1191–1197
    • (2015) Compos Struct , vol.133 , pp. 1191-1197
    • Roque, C.M.C.1    Martins, P.A.L.S.2
  • 62
    • 84876240094 scopus 로고    scopus 로고
    • Recent developments in metaheuristic algorithms: a review
    • Saka MP, Dogan E (2012) Recent developments in metaheuristic algorithms: a review. Comput Technol Rev 5:31–78
    • (2012) Comput Technol Rev , vol.5 , pp. 31-78
    • Saka, M.P.1    Dogan, E.2
  • 63
    • 84874164455 scopus 로고    scopus 로고
    • Mathematical and metaheuristic applications in design optimization of steel frame structures: an extensive review
    • Saka MP, Geem ZW (2013) Mathematical and metaheuristic applications in design optimization of steel frame structures: an extensive review. Math Probl Eng 2013:33
    • (2013) Math Probl Eng , vol.2013 , pp. 33
    • Saka, M.P.1    Geem, Z.W.2
  • 65
    • 84922654147 scopus 로고    scopus 로고
    • A deterministic global optimization using smooth diagonal auxiliary functions
    • Sergeyev YD, Kvasov DE (2015) A deterministic global optimization using smooth diagonal auxiliary functions. Commun Nonlinear Sci Numer Simul 21(1–3):99–111
    • (2015) Commun Nonlinear Sci Numer Simul , vol.21 , Issue.1-3 , pp. 99-111
    • Sergeyev, Y.D.1    Kvasov, D.E.2
  • 66
    • 0031700696 scopus 로고    scopus 로고
    • A modified particle swarm optimizer. The IEEE International Conference on Evolutionary Computation
    • Shi Y, Eberhart R (1998) A modified particle swarm optimizer. The IEEE International Conference on Evolutionary Computation, Piscataway, p 69–73
    • (1998) Piscataway , pp. 69-73
    • Shi, Y.1    Eberhart, R.2
  • 67
    • 0001948966 scopus 로고
    • Chaotic advection in a two-dimensional flow: Lévy flights and anomalous diffusion
    • Solomon TH, Weeks ER, Swinney HL (1994) Chaotic advection in a two-dimensional flow: Lévy flights and anomalous diffusion. Physica D: Nonlinear Phenom 76(1–3):70–84
    • (1994) Physica D: Nonlinear Phenom , vol.76 , Issue.1-3 , pp. 70-84
    • Solomon, T.H.1    Weeks, E.R.2    Swinney, H.L.3
  • 68
    • 0142000477 scopus 로고    scopus 로고
    • Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces
    • Storn R, Price K (1997) Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359
    • (1997) J Glob Optim , vol.11 , Issue.4 , pp. 341-359
    • Storn, R.1    Price, K.2
  • 69
    • 84871394860 scopus 로고    scopus 로고
    • Modified firefly algorithm
    • Tilahun SL, Ong HC (2012) Modified firefly algorithm. J Appl Math 2012:12
    • (2012) J Appl Math , vol.2012 , pp. 12
    • Tilahun, S.L.1    Ong, H.C.2
  • 71
    • 0037530481 scopus 로고    scopus 로고
    • Adaptive response surface method using inherited latin hypercube design points
    • Wang GG (2003) Adaptive response surface method using inherited latin hypercube design points. J Mech Des 125(2):210–220
    • (2003) J Mech Des , vol.125 , Issue.2 , pp. 210-220
    • Wang, G.G.1
  • 72
    • 79952003746 scopus 로고    scopus 로고
    • Differential evolution with composite trial vector generation strategies and control parameters
    • Wang Y, Cai Z, Zhang Q (2011) Differential evolution with composite trial vector generation strategies and control parameters. IEEE Trans Evol Comput 15(1):55–66
    • (2011) IEEE Trans Evol Comput , vol.15 , Issue.1 , pp. 55-66
    • Wang, Y.1    Cai, Z.2    Zhang, Q.3
  • 73
    • 84894283868 scopus 로고    scopus 로고
    • Differential evolution based on covariance matrix learning and bimodal distribution parameter setting
    • Wang Y, Li H-X, Huang T, Li L (2014) Differential evolution based on covariance matrix learning and bimodal distribution parameter setting. Appl Soft Comput 18:232–247
    • (2014) Appl Soft Comput , vol.18 , pp. 232-247
    • Wang, Y.1    Li, H.-X.2    Huang, T.3    Li, L.4
  • 74
    • 0002025006 scopus 로고
    • Observation of anomalous diffusion and Lévy flights
    • Lévy flights and related topics in physics, Springer Berlin Heidelberg
    • Weeks E, Solomon TH, Urbach J, Swinney H (1995) Observation of anomalous diffusion and Lévy flights. In: Shlesinger M, Zaslavsky G, Frisch U (eds) Lévy flights and related topics in physics. Springer Berlin Heidelberg, p 51–71
    • (1995) Shlesinger M , pp. 51-71
    • Weeks, E.1    Solomon, T.H.2    Urbach, J.3    Swinney, H.4    Zaslavsky, G.5    Frisch, U.6
  • 76
    • 80055043441 scopus 로고    scopus 로고
    • Firefly algorithm, Lévy flights and global optimization
    • Bramer M, Ellis R, Petridis M, (eds), Springer, London
    • Yang X-S (2010a) Firefly algorithm, Lévy flights and global optimization. In: Bramer M, Ellis R, Petridis M (eds) Research and development in intelligent systems XXVI. Springer, London, pp 209–218
    • (2010) Research and development in intelligent systems XXVI , pp. 209-218
    • Yang, X.-S.1
  • 77
    • 77951675054 scopus 로고    scopus 로고
    • A new metaheuristic bat-inspired algorithm
    • González J, Pelta D, Cruz C, Terrazas G, Krasnogor N, (eds), Springer, Berlin
    • Yang X-S (2010b) 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). Springer, Berlin, pp 65–74
    • (2010) Nature inspired cooperative strategies for optimization (NICSO 2010) , pp. 65-74
    • Yang, X.-S.1
  • 79
    • 84973120706 scopus 로고    scopus 로고
    • Chapter 8 - firefly algorithms
    • Yang X-S, (ed), Elsevier, Oxford
    • Yang X-S (2014b) Chapter 8 - firefly algorithms. In: Yang X-S (ed) Nature-inspired optimization algorithms. Elsevier, Oxford, pp 111–127
    • (2014) Nature-inspired optimization algorithms , pp. 111-127
    • Yang, X.-S.1
  • 80
    • 77949623076 scopus 로고    scopus 로고
    • Cuckoo search via Lévy flights. World Congress on Nature & Biologically Inspired Computing
    • Yang X-S, Deb S (2009) Cuckoo search via Lévy flights. World Congress on Nature & Biologically Inspired Computing, NaBIC 2009. p 210–214
    • (2009) NaBIC , vol.2009 , pp. 210-214
    • Yang, X.-S.1    Deb, S.2
  • 81
    • 84886255715 scopus 로고    scopus 로고
    • Chaos optimization algorithms based on chaotic maps with different probability distribution and search speed for global optimization
    • Yang D, Liu Z, Zhou J (2014) Chaos optimization algorithms based on chaotic maps with different probability distribution and search speed for global optimization. Commun Nonlinear Sci Numer Simul 19(4):1229–1246
    • (2014) Commun Nonlinear Sci Numer Simul , vol.19 , Issue.4 , pp. 1229-1246
    • Yang, D.1    Liu, Z.2    Zhou, J.3
  • 82
    • 44949228312 scopus 로고    scopus 로고
    • Differential evolution with dynamic stochastic selection for constrained optimization
    • Zhang M, Luo W, Wang X (2008) Differential evolution with dynamic stochastic selection for constrained optimization. Inf Sci 178(15):3043–3074
    • (2008) Inf Sci , vol.178 , Issue.15 , pp. 3043-3074
    • Zhang, M.1    Luo, W.2    Wang, X.3
  • 83
    • 64849096117 scopus 로고    scopus 로고
    • An effective multiagent evolutionary algorithm integrating a novel roulette inversion operator for engineering optimization
    • Zhang J, Liang C, Huang Y, Wu J, Yang S (2009) An effective multiagent evolutionary algorithm integrating a novel roulette inversion operator for engineering optimization. Appl Math Comput 211(2):392–416
    • (2009) Appl Math Comput , vol.211 , Issue.2 , pp. 392-416
    • Zhang, J.1    Liang, C.2    Huang, Y.3    Wu, J.4    Yang, S.5
  • 84
    • 84930540809 scopus 로고    scopus 로고
    • Design optimization of a runflat structure based on multi-objective genetic algorithm
    • Zhou G, Ma Z-D, Cheng A, Li G, Huang J (2015) Design optimization of a runflat structure based on multi-objective genetic algorithm. Struct Multidiscip Optim 51(6):1363–1371
    • (2015) Struct Multidiscip Optim , vol.51 , Issue.6 , pp. 1363-1371
    • Zhou, G.1    Ma, Z.-D.2    Cheng, A.3    Li, G.4    Huang, J.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.