Interior search algorithm (ISA): A novel approach for global optimization

ISA Transactions

Volumn 53, Issue 4, 2014, Pages 1168-1183

  Gandomi, Amir H ^a  

^a The University of Akron   (United States)

Author keywords

Global optimization; Interior search algorithm; Metaheuristic

Indexed keywords

ARCHITECTURAL DESIGN; GLOBAL OPTIMIZATION;

ENGINEERING PROBLEMS; INTERIOR DESIGNS; META HEURISTIC ALGORITHM; METAHEURISTIC; OPTIMIZATION ALGORITHMS; OPTIMIZATION PROBLEMS; OPTIMIZATION TASK; SEARCH ALGORITHMS;

LEARNING ALGORITHMS;

EID: 84905108564     PISSN: 00190578     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.isatra.2014.03.018     Document Type: Article

References (70)

1. S. Akhtar, K. Tai, and T. Ray A socio-behavioral simulation model for engineering design optimization Eng Optim 34 4 2002 341 354
2. M.M. Ali, C. Khompatraporn, and Z.B. Zabinsky A numerical evaluation of several stochastic algorithms on selected continuous global optimization test problems J Global Optim 31 2005 635 672
3. V.S. Aragon, S.C. Esquivel, and C.A. Coello Coello A modified version of a T-Cell algorithm for constrained optimization problems Int J Numer Methods Eng 84 2010 351 378
4. H.J.C. Barbosa, and A.C.C. Lemonge An adaptive penalty scheme in genetic algorithms for constrained optimization problems W.B. Langdon, E. Cantu-Paz, K. Mathias, R. Ro, D. Davis, R. Poli, Proceedings of the genetic and evolutionary computation conference (GECCO'2002) 2002 Morgan Kaufmann San Francisco, Los Altos, CA 287 294
5. R.L. Becerra, and C.A. Coello Coello Cultured differential evolution for constrained optimization Comput Methods Appl Mech Eng 195 2006 4303 4322
6. Bernardino, HS, Barbosa, HJC, Lemonge, ACC. A hybrid genetic algorithm for constrained optimization problems in mechanical engineering. In: Proceedings of the congress on evolutionary computation (CEC 2007); 2007. pp. 646-53.
7. Bernardino HS, Barbosa HJC, Lemonge ACC, Fonseca LG. A new hybrid AIS-GA for constrained optimization problems in mechanical engineering. In: Proceedings of the congress on evolutionary computation (CEC'2008), Hong Kong. Piscataway, NJ, USA: IEEE Service Center; 2008. p. 1455-62.
8. I. Brajevic, M. Tuba, and M. Subotic Performance of the improved artificial bee colony algorithm on standard engineering constrained problems Int J Math Comput Simul 5 2 2011 135 143
9. O.E. Canyurt, and P. Hajela Cellular genetic algorithm technique for the multicriterion design optimization Struct Multidiscip Optim 40 1-6 2010 201 214
10. Y.J. Cao, and Q.H. Wu Mechanical design optimization by mixed-variable evolutionary programming. IEEE conference on evoluionary computation 1997 IEEE Press Indianapolis, IN 443 446
11. C.A. Coello Coello, and N.C. Cortes Hybridizing a genetic algorithm with an artificial immune system for global optimization Eng Optim 36 5 2004 607 634
12. C.A. Coello Coello, and E.M. Montes Constraint-handling in genetic algorithms through the use of dominance-based tournament selection Adv Eng Inf 16 2002 193 203
13. C.A. Coello Coello Use of a self-adaptive penalty approach for engineering optimization problems Comput Ind 41 2 2000 113 127
14. C.A. Coello Coello Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art Comput Methods Appl Mech Eng 191 2002 1245 1287
15. K. Deb Optimal design of a welded beam via genetic algorithms AIAA J 29 11 1991 2013 2015
16. K. Deb An efficient constraint handling method for genetic algorithms Comput Methods Appl Mech Eng 186 2000 311 338
17. K. Deb, and M. Goyal A combined genetic adaptive search (GeneAS) for engineering design Comput Sci Inf 1996 30 45 26 1996 30 45
18. M. Dorigo, V. Maniezzo, and A. Colorni The ant system: optimization by a colony of cooperating agents IEEE Trans Syst Man Cybern B 26 1 1996 29 41
19. Eberhart, RC, Kennedy, J. A new optimizer using particle swarm theory. In: Proceedings of the sixth international symposium on micro machine and human science, Nagoya, Japan; 1995.
20. L.J. Fogel, A.J. Owens, and M.J. Walsh Artificial intelligence thorough simulated evolution 1966 John Wiley & Sons, Ltd Chichester, UK
21. J.F. Fu, R.G. Fenton, and W.L. Cleghorn A mixed integer-discrete- continuous programming method and its application to engineering design optimization Eng Optim 17 1991 263 280
22. A.H. Gandomi, and A.H. Alavi Multi-stage genetic programming: a new strategy to nonlinear system modeling Inf Sci 181 2011 5227 5239
23. A.H. Gandomi, X.S. Yang, S. Talatahari, and S. Deb Coupled eagle strategy and differential evolution for unconstrained and constrained global optimization Comput Math Appl 63 1 2012 191 200
24. A.H. Gandomi, and X.S. Yang Evolutionary boundary constraint handling scheme Neural Comput Appl 21 6 2012 1449 1462
25. A.H. Gandomi, and A.H. Alavi Krill Herd: a new bio-inspired optimization algorithm Commun Nonlinear Sci Numer Simul 17 12 2012 4831 4845
26. A.H. Gandomi, G.J. Yun, X.S. Yang, and S. Talatahari Chaos-enhanced accelerated particle swarm algorithm Commun Nonlinear Sci Numer Simul 18 2 2013 327 340
27. Z.W. Geem, J.H. Kim, and G.V. Loganathan A new heuristic optimization algorithm: harmony search Simulation 76 2 2001 60 68
28. Q. He, and L. Wang An effective co-evolutionary particle swarm optimization for engineering optimization problems Eng Appl Artif Intel 20 2006 89 99
29. A. Hedar, and M. Fukushima Derivative-free filter simulated annealing method for constrained continuous global optimization J Global Optim 35 2006 521 549
30. J. Holland Adaptation in natural and artificial systems 1975 University of Michigan Press Ann Anbor
31. F.Z. Huang, L. Wang, and Q. He An effective co-evolutionary differential evolution for constrained optimization Appl Math Comput 186 1 2007 340 356
32. M. Jaberipour, and E. Khorram Two improved harmony search algorithms for solving engineering optimization problems Commun Nonlinear Sci Numer Simulat 15 11 2010 3316 3331
33. B.K. Kannan, and S.N. Kramer An augmented Lagrange multiplier based method for mixed integer discrete continuous optimization and its applications to mechanical design J Mech Des 116 1994 318 320
34. A. Kaveh, and S. Talatahari A novel heuristic optimization method: charged system search Acta Mech 213 2010 267 289
35. S. Kitayama, M. Arakawa, and K. Yamazaki Differential evolution as the global optimization technique and its application to structural optimization Appl Soft Comput 11 386 2011 3792 3803
36. J.R. Koza Genetic programming: on the programming of computers by natural selection 1992 MIT Press Cambridge, MA
37. A.H. Gandomi, and XS. Yang Benchmark Problems in Structural Optimization S. Koziel, X.S. Yang, Computational Optimization, Methods and Algorithms 2011 Springer; SCI, 356 Berlin, Germany 259 281 (Chapter 12)
38. K.S. Lee, Z.W. Geem, S.H. Lee, and K.W. Bae The harmony search heuristic algorithm for discrete structural optimization Eng Optim 37 7 2005 663 684
39. A.C.C. Lemonge, and H.J.C. Barbosa An adaptive penalty scheme for genetic algorithms in structural optimization Int J Numer Methods Eng 59 5 2004 703 736
40. L.J. Li, Z.B. Huang, and F. Liu A heuristic particle swarm optimization method for truss structures with discrete variables Comput Struct 87 7 and 8 2009 435 443
41. L.J. Li, F. Liu, X.T. Xu, and F. Liu The group search optimizer and its application to truss structure design Adv Struct Eng 13 1 2010 43 51
42. V.V. Litinetski, and B.M. Abramzon Mars - a multistart adaptive random search method for global constrained optimization in engineering applications Eng Optim 30 2 1998 125 154
43. H.T. Loh, and P.Y. Papalambros A sequential linearization approach for solving mixed-discrete nonlinear design optimization problems J Mech Des 113 1991 325 334
44. Lucic, P, Teodorovic, D. Bee system: modeling combinatorial optimization transportation engineering problems by swarm intelligence. In: Preprints of the TRISTAN IV triennial symposium on transportation analysis, Sao Miguel, Azores Islands; 2001. p. 441-5.
45. M. Mahdavi, M. Fesanghary, and E. Damangir An improved harmony search algorithm for solving optimization problems Appl Math Comput 188 2007 1567 1579
46. Z. Michalewicz, and M. Schoenauer Evolutionary algorithms for constrained parameter optimization problems Evolut Comput 4 1 1996 1 32
47. E.M. Montes, and C.A. Coello Coello Constrained optimization via multiobjective evolutionary algorithms J. Knowles, D. Corne, K. Deb, Multiobjective problem solving from nature 2008 Springer 53 75
48. Montes, EM, Ocaña, BH. Bacterial foraging for engineering design problems: preliminary results. In: Proceedings of the fourth Mexican conference on evolutionary computation (COMCEV'2008), CIMAT, Guanajuato, México, October 2008. p. 33-8.
49. NCIDQ 2011. 〈http://www.ncidq.org〉 Retrieved Jan. 20, 2011.
50. Parsopoulos, KE, Vrahatis, MN. Unified particle swarm optimization for solving constrained engineering optimization problems. In: Lecture notes in computer science (LNCS), vol. 3612; 2005. p. 582-91.
51. K.E. Parsopoulos, and M.N. Vrahatis Unified particle swarm optimization for solving constrained engineering optimization problems L. Wang, K. Chen, Y.S. Ong, Advances in natural computation 2005 Springer-Verlag Berlin, Heidelberg 582 591
52. K.M. Passino Biomimicry of bacterial foraging for distributed optimization and control IEEE Control Syst Mag 22 2002 53 67
53. S. Rahnamayan, H.R. Tizhoosh, and Salama MMA A novel population initialization method for accelerating evolutionary algorithms Comput Math Appl 53 2007 1605 1614
54. T. Ray, and K.M. Liew Society and civilization: an optimization algorithm based on the simulation of social behavior IEEE Trans Evol Comput 7 4 2003 386 396
55. A.K. Renato, and C.L. Dos Santos Coevolutionary particle swarm optimization using gaussian distribution for solving constrained optimization problems IEEE Trans Syst Man Cybern Part B Cybern 36 2006 1407 1416
56. T.P. Runarsson, and X. Yao Stochastic ranking for constrained evolutionary optimization IEEE Trans Evol Comput 4 3 2000 284 294
57. M.G. Sahab, V.V. Toropov, and A.H. Gandomi Traditional and modern structural optimization techniques - theory and application A.H. Gandomi, X.Y. Yang, S. Talatahari, A.H. Alavi, Metaheuristic applications in structures and infrastructures 2013 Elsevier Waltham, MA (Chapter 2)
58. E. Sandgran Nonlinear integer and discrete programming in mechanical design optimization J Mech Des 112 2 1990 223 229
59. R. Storn, and K.V. Price Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces J Global Optim 11 4 1997 341 359
60. E.G. Talbi Metaheuristics: from design to implementation 2009 John Wiley & Sons Hoboken, NJ, USA
61. Y. Wang, Z. Cai, and Y. Zhou Accelerating adaptive trade-off model using shrinking space technique for constrained evolutionary optimization Int J Numer Meth Eng 77 2009 1501 1534
62. D.H. Wolpert, and W.G. Macready No free lunch theorems for optimization IEEE Trans Evol Comput 1 1 1997 67 82
63. P. Wu, L. Gao, D. Zou, and S. Li An improved particle swarm optimization algorithm for reliability problems ISA Trans 50 1 2011 71 81
64. S.J. Wu, and P.T. Chow Steady-state genetic algorithms for discrete optimization of trusses Comput Struct 56 6 1995 979 991
65. S.J. Wu, and P.T. Chow Genetic algorithms for nonlinear mixed discrete integer optimization problems via meta-genetic parameter optimization Eng Optim 24 1995 137 159
66. Yang, XS, Deb, S. Cuckoo search via Lévy flights. In: Proceedings of world congress on nature & biologically inspired computing (NaBIC 2009, India). USA: IEEE Publications; 2009. p. 210-4.
67. X.S. Yang Nature-inspired metaheuristic algorithms 2nd ed. 2010 Luniver Press Frome, UK
68. Yun YS. Study on adaptive hybrid genetic algorithm and its applications to engineering design problems [M.Sc. thesis]. Waseda University; 2005.
69. U. Yüzgeç, M. Türker, and A. Hocalar On-line evolutionary optimization of an industrial fed-batch yeast fermentation process ISA Trans 48 1 2009 79 92
70. C. Zhang, and H.P. Wang Mixed-discrete nonlinear optimization with simulated annealing Eng Optim 21 1993 277 291