메뉴 건너뛰기




Volumn 19, Issue 6, 2015, Pages 761-776

A knee point-driven evolutionary algorithm for many-objective optimization

Author keywords

convergence; diversity; Evolutionary multi objective optimization; hypervolume; knee point; many objective optimization

Indexed keywords

ALGORITHMS; COMPUTATIONAL EFFICIENCY; MULTIOBJECTIVE OPTIMIZATION; OPTIMIZATION;

EID: 84959345384     PISSN: 1089778X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEVC.2014.2378512     Document Type: Article
Times cited : (779)

References (60)
  • 1
    • 59749092617 scopus 로고    scopus 로고
    • Effective evolutionary algorithms for many-specifications attainment: Application to air traffic control tracking filters
    • Feb
    • J. G. Herrero, A. Berlanga, and J. M. M. López, "Effective evolutionary algorithms for many-specifications attainment: Application to air traffic control tracking filters, " IEEE Trans. Evol. Comput., vol. 13, no. 1, pp. 151-168, Feb. 2009.
    • (2009) IEEE Trans. Evol. Comput , vol.13 , Issue.1 , pp. 151-168
    • Herrero, J.G.1    Berlanga, A.2    López, J.M.M.3
  • 2
    • 0032141635 scopus 로고    scopus 로고
    • A multi-objective genetic local search algorithm and its application to flowshop scheduling
    • Aug
    • H. Ishibuchi and T. Murata, "A multi-objective genetic local search algorithm and its application to flowshop scheduling, " IEEE Trans. Syst., Man, Cybern. C, Appl. Rev., vol. 28, no. 3, pp. 392-403, Aug. 1998.
    • (1998) IEEE Trans. Syst., Man, Cybern. C, Appl. Rev , vol.28 , Issue.3 , pp. 392-403
    • Ishibuchi, H.1    Murata, T.2
  • 3
    • 40549129726 scopus 로고    scopus 로고
    • A trapeizform U-slot folded patch feed antenna design optimized with jumping genes evolutionary algorithm
    • Feb
    • S. H. Yeung, K. F. Man, K. M. Luk, and C. H. Chan, "A trapeizform U-slot folded patch feed antenna design optimized with jumping genes evolutionary algorithm, " IEEE Trans. Antennas Propag., vol. 56, no. 2, pp. 571-577, Feb. 2008.
    • (2008) IEEE Trans. Antennas Propag , vol.56 , Issue.2 , pp. 571-577
    • Yeung, S.H.1    Man, K.F.2    Luk, K.M.3    Chan, C.H.4
  • 4
    • 34248385237 scopus 로고    scopus 로고
    • Multiobjective optimization in bioinformatics and computational biology
    • Apr
    • J. Handl, D. B. Kell, and J. Knowles, "Multiobjective optimization in bioinformatics and computational biology, " IEEE/ACM Trans. Comput. Biol. Bioinformat., vol. 4, no. 2, pp. 279-292, Apr. 2007.
    • (2007) IEEE/ACM Trans. Comput. Biol. Bioinformat , vol.4 , Issue.2 , pp. 279-292
    • Handl, J.1    Kell, D.B.2    Knowles, J.3
  • 5
    • 84878398490 scopus 로고    scopus 로고
    • A survey on multiobjective evolutionary algorithms for the solution of the portfolio optimization problem and other finance and economics applications
    • Jun
    • A. Ponsich, A. L. Jaimes, and C. A. C. Coello, "A survey on multiobjective evolutionary algorithms for the solution of the portfolio optimization problem and other finance and economics applications, " IEEE Trans. Evol. Comput., vol. 17, no. 3, pp. 321-344, Jun. 2013.
    • (2013) IEEE Trans. Evol. Comput , vol.17 , Issue.3 , pp. 321-344
    • Ponsich, A.1    Jaimes, A.L.2    Coello, C.A.C.3
  • 6
    • 0036530772 scopus 로고    scopus 로고
    • A fast and elitist multi-objective genetic algorithm: NSGA-II
    • Apr
    • K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, "A fast and elitist multi-objective genetic algorithm: NSGA-II, " IEEE Trans. Evol. Comput., vol. 6, no. 2, pp. 182-197, Apr. 2002.
    • (2002) IEEE Trans. Evol. Comput , vol.6 , Issue.2 , pp. 182-197
    • Deb, K.1    Pratap, A.2    Agarwal, S.3    Meyarivan, T.4
  • 9
    • 34548108555 scopus 로고    scopus 로고
    • MOEA/D: A multiobjective evolutionary algorithm based on decomposition
    • Dec
    • Q. Zhang and H. Li, "MOEA/D: A multiobjective evolutionary algorithm based on decomposition, " IEEE Trans. Evol. Comput., vol. 11, no. 6, pp. 712-731, Dec. 2007.
    • (2007) IEEE Trans. Evol. Comput , vol.11 , Issue.6 , pp. 712-731
    • Zhang, Q.1    Li, H.2
  • 10
    • 0005871804 scopus 로고    scopus 로고
    • PESA-II: Region-based selection in evolutionary multi-objective optimization
    • San Francisco, CA, USA
    • D. W. Corne, N. R. Jerram, J. D. Knowles, and M. J. Oates, "PESA-II: Region-based selection in evolutionary multi-objective optimization, " in Proc. 2001 Genet. Evol. Comput. Conf., San Francisco, CA, USA, pp. 283-290.
    • Proc. 2001 Genet. Evol. Comput. Conf , pp. 283-290
    • Corne, D.W.1    Jerram, N.R.2    Knowles, J.D.3    Oates, M.J.4
  • 11
    • 0033666525 scopus 로고    scopus 로고
    • M-PAES: A memetic algorithm for multiobjective optimization
    • La Jolla, CA, USA
    • J. D. Knowles and D. W. Corne, "M-PAES: A memetic algorithm for multiobjective optimization, " in Proc. IEEE Congr. Evol. Comput., La Jolla, CA, USA, 2000, pp. 325-332.
    • (2000) Proc IEEE Congr. Evol. Comput , pp. 325-332
    • Knowles, J.D.1    Corne, D.W.2
  • 12
    • 84874359717 scopus 로고    scopus 로고
    • Examining the performance of evolutionary many-objective optimization algorithms on a real-world application
    • Kitakyushu, Japan
    • K. Narukawa and T. Rodemann, "Examining the performance of evolutionary many-objective optimization algorithms on a real-world application, " in Proc. 6th Int. Conf. Genet. Evol. Comput., Kitakyushu, Japan, 2012, pp. 316-319.
    • (2012) Proc. 6th Int. Conf. Genet. Evol. Comput , pp. 316-319
    • Narukawa, K.1    Rodemann, T.2
  • 13
    • 84875494386 scopus 로고    scopus 로고
    • A real-world application of a many-objective optimisation complexity reduction process
    • Sheffield, U.K
    • R. J. Lygoe, M. Cary, and P. J. Fleming, "A real-world application of a many-objective optimisation complexity reduction process, " in Proc. 7th Int. Conf. Evol. Multi-Criterion Optim., Sheffield, U.K., 2013, pp. 641-655.
    • (2013) Proc. 7th Int. Conf. Evol. Multi-Criterion Optim , pp. 641-655
    • Lygoe, R.J.1    Cary, M.2    Fleming, P.J.3
  • 14
    • 0034863644 scopus 로고    scopus 로고
    • Failure of Pareto-based MOEAs: Does non-dominated really mean near to optimal
    • Seoul, Korea
    • K. Ikeda, H. Kita, and S. Kobayashi, "Failure of Pareto-based MOEAs: Does non-dominated really mean near to optimal?" in Proc. IEEE Congr. Evol. Comput., Seoul, Korea, 2001, pp. 957-962.
    • (2001) Proc IEEE Congr. Evol. Comput , pp. 957-962
    • Ikeda, K.1    Kita, H.2    Kobayashi, S.3
  • 15
    • 67650132402 scopus 로고    scopus 로고
    • On the effects of adding objectives to plateau functions
    • Jun
    • D. Brockhoff et al., "On the effects of adding objectives to plateau functions, " IEEE Trans. Evol. Comput., vol. 13, no. 3, pp. 591-603, Jun. 2009.
    • (2009) IEEE Trans. Evol. Comput , vol.13 , Issue.3 , pp. 591-603
    • Brockhoff, D.1
  • 16
    • 79953809057 scopus 로고    scopus 로고
    • On the influence of the number of objectives on the hardness of a multiobjective optimization problem
    • Aug
    • O. Schütze, A. Lara, and C. A. C. Coello, "On the influence of the number of objectives on the hardness of a multiobjective optimization problem, " IEEE Trans. Evol. Comput., vol. 15, no. 4, pp. 444-455, Aug. 2011.
    • (2011) IEEE Trans. Evol. Comput , vol.15 , Issue.4 , pp. 444-455
    • Schütze, O.1    Lara, A.2    Coello, C.A.C.3
  • 17
    • 80051988722 scopus 로고    scopus 로고
    • A comparison of dominance criteria in many-objective optimization problems
    • New Orleans, LA, USA
    • L. S. Batista, F. Campelo, F. G. Guimaraes, and J. A. Ramírez, "A comparison of dominance criteria in many-objective optimization problems, " in Proc. IEEE Congr. Evol. Comput., New Orleans, LA, USA, 2011, pp. 2359-2366.
    • (2011) Proc IEEE Congr. Evol. Comput , pp. 2359-2366
    • Batista, L.S.1    Campelo, F.2    Guimaraes, F.G.3    Ramírez, J.A.4
  • 18
    • 35248887077 scopus 로고    scopus 로고
    • Performance scaling of multiobjective evolutionary algorithms
    • Faro, Portugal
    • V. Khare, X. Yao, and K. Deb, "Performance scaling of multiobjective evolutionary algorithms, " in Proc. 2nd Int. Conf. Evol. Multi-Criterion Optim., Faro, Portugal, 2003, pp. 376-390.
    • (2003) Proc. 2nd Int. Conf. Evol. Multi-Criterion Optim , pp. 376-390
    • Khare, V.1    Yao, X.2    Deb, K.3
  • 19
    • 34548137363 scopus 로고    scopus 로고
    • Techniques for highly multiobjective optimisation: Some nondominated points are better than others
    • London, U.K
    • D. W. Corne and J. D. Knowles, "Techniques for highly multiobjective optimisation: Some nondominated points are better than others, " in Proc. 9th Conf. Genet. Evol. Comput., London, U.K., 2007, pp. 773-780.
    • (2007) Proc. 9th Conf. Genet. Evol. Comput , pp. 773-780
    • Corne, D.W.1    Knowles, J.D.2
  • 20
    • 55749105514 scopus 로고    scopus 로고
    • Evolutionary manyobjective optimization: A short review
    • Hong Kong
    • H. Ishibuchi, N. Tsukamoto, and Y. Nojima, "Evolutionary manyobjective optimization: A short review, " in Proc. IEEE Congr. Evol. Comput., Hong Kong, 2008, pp. 2419-2426.
    • (2008) Proc IEEE Congr. Evol. Comput , pp. 2419-2426
    • Ishibuchi, H.1    Tsukamoto, N.2    Nojima, Y.3
  • 21
    • 84881566702 scopus 로고    scopus 로고
    • Ranking many-objective evolutionary algorithms using performance metrics ensemble
    • Cancun, Mexico
    • Z. He and G. G. Yen, "Ranking many-objective evolutionary algorithms using performance metrics ensemble, " in Proc. IEEE Congr. Evol. Comput., Cancun, Mexico, 2013, pp. 2480-2487.
    • (2013) Proc IEEE Congr. Evol. Comput , pp. 2480-2487
    • He, Z.1    Yen, G.G.2
  • 22
    • 0036715683 scopus 로고    scopus 로고
    • Combining convergence and diversity in evolutionary multiobjective optimization
    • M. Laumanns, L. Thiele, K. Deb, and E. Zitzler, "Combining convergence and diversity in evolutionary multiobjective optimization, " Evol. Comput., vol. 10, no. 3, pp. 263-282, 2002.
    • (2002) Evol. Comput , vol.10 , Issue.3 , pp. 263-282
    • Laumanns, M.1    Thiele, L.2    Deb, K.3    Zitzler, E.4
  • 23
    • 84887667705 scopus 로고    scopus 로고
    • Borg: An auto-adaptive many-objective evolutionary computing framework
    • D. Hadka and P. Reed, "Borg: An auto-adaptive many-objective evolutionary computing framework, " Evol. Comput., vol. 21, no. 2, pp. 231-259, 2013.
    • (2013) Evol. Comput , vol.21 , Issue.2 , pp. 231-259
    • Hadka, D.1    Reed, P.2
  • 24
    • 52349093854 scopus 로고    scopus 로고
    • A new evolutionary algorithm for solving many-objective optimization problems
    • Oct
    • X. Zou, Y. Chen, M. Liu, and L. Kang, "A new evolutionary algorithm for solving many-objective optimization problems, " IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 5, pp. 1402-1412, Oct. 2008.
    • (2008) IEEE Trans. Syst., Man, Cybern. B, Cybern , vol.38 , Issue.5 , pp. 1402-1412
    • Zou, X.1    Chen, Y.2    Liu, M.3    Kang, L.4
  • 25
    • 52249095716 scopus 로고    scopus 로고
    • Fuzzy-dominance and its application in evolutionary many objective optimization
    • Harbin, China
    • G. Wang and H. Jiang, "Fuzzy-dominance and its application in evolutionary many objective optimization, " in Proc. Int. Conf. Comput. Intell. Security Workshops, Harbin, China, 2007, pp. 195-198.
    • (2007) Proc. Int. Conf. Comput. Intell. Security Workshops , pp. 195-198
    • Wang, G.1    Jiang, H.2
  • 26
    • 33947224691 scopus 로고    scopus 로고
    • An investigation on preference order ranking scheme for multiobjective evolutionary optimization
    • Feb
    • F. di Pierro, S.-T. Khu, and D. A. Savic, "An investigation on preference order ranking scheme for multiobjective evolutionary optimization, " IEEE Trans. Evol. Comput., vol. 11, no. 1, pp. 17-45, Feb. 2007.
    • (2007) IEEE Trans. Evol. Comput , vol.11 , Issue.1 , pp. 17-45
    • Di Pierro, F.1    Khu, S.-T.2    Savic, D.A.3
  • 27
    • 37249075984 scopus 로고    scopus 로고
    • Substitute distance assignments in NSGA-II for handling many-objective optimization problems
    • Matsushima, Japan
    • M. Köppen and K. Yoshida, "Substitute distance assignments in NSGA-II for handling many-objective optimization problems, " in Proc. 4th Int. Conf. Evol. Multi-Criterion Optim., Matsushima, Japan, 2007, pp. 727-741.
    • (2007) Proc. 4th Int. Conf. Evol. Multi-Criterion Optim , pp. 727-741
    • Köppen, M.1    Yoshida, K.2
  • 28
    • 84875509932 scopus 로고    scopus 로고
    • An alternative preference relation to deal with many-objective optimization problems
    • Sheffield, U.K
    • A. López, C. A. C. Coello, A. Oyama, and K. Fujii, "An alternative preference relation to deal with many-objective optimization problems, " in Proc. 7th Int. Conf. Evol. Multi-Criterion Optim., Sheffield, U.K., 2013, pp. 291-306.
    • (2013) Proc. 7th Int. Conf. Evol. Multi-Criterion Optim , pp. 291-306
    • López, A.1    Coello, C.A.C.2    Oyama, A.3    Fujii, K.4
  • 29
    • 84875528853 scopus 로고    scopus 로고
    • A grid-based evolutionary algorithm for many-objective optimization
    • Oct
    • S. Yang, M. Li, X. Liu, and J. Zheng, "A grid-based evolutionary algorithm for many-objective optimization, " IEEE Trans. Evol. Comput., vol. 17, no. 5, pp. 721-736, Oct. 2013.
    • (2013) IEEE Trans. Evol. Comput , vol.17 , Issue.5 , pp. 721-736
    • Yang, S.1    Li, M.2    Liu, X.3    Zheng, J.4
  • 30
    • 33947669974 scopus 로고    scopus 로고
    • SMS-EMOA: Multiobjective selection based on dominated hypervolume
    • N. Beume, B. Naujoks, and M. Emmerich, "SMS-EMOA: Multiobjective selection based on dominated hypervolume, " Eur. J. Oper. Res., vol. 181, no. 3, pp. 1653-1669, 2007.
    • (2007) Eur. J. Oper. Res , vol.181 , Issue.3 , pp. 1653-1669
    • Beume, N.1    Naujoks, B.2    Emmerich, M.3
  • 31
    • 79951564654 scopus 로고    scopus 로고
    • HypE: An algorithm for fast hypervolume-based many-objective optimization
    • J. Bader and E. Zitzler, "HypE: An algorithm for fast hypervolume-based many-objective optimization, " Evol. Comput., vol. 19, no. 1, pp. 45-76, 2011.
    • (2011) Evol. Comput , vol.19 , Issue.1 , pp. 45-76
    • Bader, J.1    Zitzler, E.2
  • 32
    • 55749098262 scopus 로고    scopus 로고
    • Dimensionality reduction of objectives and constraints in multi-objective optimization problems: A system design perspective
    • Hong Kong
    • D. K. Saxena and K. Deb, "Dimensionality reduction of objectives and constraints in multi-objective optimization problems: A system design perspective, " in Proc. IEEE Congr. Evol. Comput., Hong Kong, 2008, pp. 3204-3211.
    • (2008) Proc IEEE Congr. Evol. Comput , pp. 3204-3211
    • Saxena, D.K.1    Deb, K.2
  • 33
    • 79961027662 scopus 로고    scopus 로고
    • A Pareto corner search evolutionary algorithm and dimensionality reduction in many-objective optimization problems
    • Aug
    • H. K. Singh, A. Isaacs, and T. Ray, "A Pareto corner search evolutionary algorithm and dimensionality reduction in many-objective optimization problems, " IEEE Trans. Evol. Comput., vol. 15, no. 4, pp. 539-556, Aug. 2011.
    • (2011) IEEE Trans. Evol. Comput , vol.15 , Issue.4 , pp. 539-556
    • Singh, H.K.1    Isaacs, A.2    Ray, T.3
  • 34
    • 77957600209 scopus 로고    scopus 로고
    • An interactive evolutionary multi-objective optimization method based on progressively approximated value functions
    • Oct
    • K. Deb, A. Sinha, P. J. Korhonen, and J. Wallenius, "An interactive evolutionary multi-objective optimization method based on progressively approximated value functions, " IEEE Trans. Evol. Comput., vol. 14, no. 5, pp. 723-739, Oct. 2010.
    • (2011) IEEE Trans. Evol. Comput , vol.14 , Issue.5 , pp. 723-739
    • Deb, K.1    Sinha, A.2    Korhonen, P.J.3    Wallenius, J.4
  • 35
    • 84881178765 scopus 로고    scopus 로고
    • Preference-inspired coevolutionary algorithms for many-objective optimization
    • Aug
    • R. Wang, R. C. Purshouse, and P. J. Fleming, "Preference-inspired coevolutionary algorithms for many-objective optimization, " IEEE Trans. Evol. Comput., vol. 17, no. 4, pp. 474-494, Aug. 2013.
    • (2013) IEEE Trans. Evol. Comput , vol.17 , Issue.4 , pp. 474-494
    • Wang, R.1    Purshouse, R.C.2    Fleming, P.J.3
  • 36
    • 84905581607 scopus 로고    scopus 로고
    • An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: Solving problems with box constraints
    • Aug
    • K. Deb and H. Jain, "An evolutionary many-objective optimization algorithm using reference-point-based nondominated sorting approach, part I: Solving problems with box constraints, " IEEE Trans. Evol. Comput., vol. 18, no. 4, pp. 577-601, Aug. 2014.
    • (2014) IEEE Trans. Evol. Comput , vol.18 , Issue.4 , pp. 577-601
    • Deb, K.1    Jain, H.2
  • 37
    • 84875548725 scopus 로고    scopus 로고
    • Relation between neighborhood size and MOEA/D performance on many-objective problems
    • Sheffield, U.K
    • H. Ishibuchi, N. Akedo, and Y. Nojima, "Relation between neighborhood size and MOEA/D performance on many-objective problems, " in Proc. Evol. Multi-Criterion Optim., Sheffield, U.K., 2013, pp. 459-474.
    • (2013) Proc. Evol. Multi-Criterion Optim , pp. 459-474
    • Ishibuchi, H.1    Akedo, N.2    Nojima, Y.3
  • 38
    • 77957584426 scopus 로고    scopus 로고
    • The r-dominance: A new dominance relation for interactive evolutionary multicriteria decision making
    • Oct
    • L. B. Said, S. Bechikh, and K. Ghédira, "The r-dominance: A new dominance relation for interactive evolutionary multicriteria decision making, " IEEE Trans. Evol. Comput., vol. 14, no. 5, pp. 801-818, Oct. 2010.
    • (2011) IEEE Trans. Evol. Comput , vol.14 , Issue.5 , pp. 801-818
    • Said, L.B.1    Bechikh, S.2    Ghédira, K.3
  • 39
    • 60649105754 scopus 로고    scopus 로고
    • G-dominance: Reference point based dominance for multiobjective metaheuristics
    • J. Molina, L. V. Santana, A. G. Hernández-Díaz, C. A. C. Coello, and R. Caballero, "g-dominance: Reference point based dominance for multiobjective metaheuristics, " Eur. J. Oper. Res., vol. 197, no. 2, pp. 685-692, 2009.
    • (2009) Eur. J. Oper. Res , vol.197 , Issue.2 , pp. 685-692
    • Molina, J.1    Santana, L.V.2    Hernández-Díaz, A.G.3    Coello, C.A.C.4    Caballero, R.5
  • 40
    • 70349620402 scopus 로고    scopus 로고
    • A preference-based evolutionary algorithm for multi-objective optimization
    • L. Thiele, K. Miettinen, P. J. Korhonen, and J. Molina, "A preference-based evolutionary algorithm for multi-objective optimization, " Evol. Comput., vol. 17, no. 3, pp. 411-436, 2009.
    • (2009) Evol. Comput , vol.17 , Issue.3 , pp. 411-436
    • Thiele, L.1    Miettinen, K.2    Korhonen, P.J.3    Molina, J.4
  • 41
    • 0033208104 scopus 로고    scopus 로고
    • On characterizing the 'knee' of the pareto curve based on normal-boundary intersection
    • I. Das, "On characterizing the 'knee' of the Pareto curve based on normal-boundary intersection, " Struct. Optim., vol. 18, nos. 2-3, pp. 107-115, 1999.
    • (1999) Struct. Optim , vol.18 , Issue.2-3 , pp. 107-115
    • Das, I.1
  • 43
    • 34547368193 scopus 로고    scopus 로고
    • A multi-objective genetic algorithm with controllable convergence on knee regions
    • Vancouver, BC, Canada
    • L. Rachmawati and D. Srinivasan, "A multi-objective genetic algorithm with controllable convergence on knee regions, " in Proc. IEEE Congr. Evol. Comput., Vancouver, BC, Canada, 2006, pp. 1916-1923.
    • (2006) Proc IEEE Congr. Evol. Comput , pp. 1916-1923
    • Rachmawati, L.1    Srinivasan, D.2
  • 44
    • 33750239012 scopus 로고    scopus 로고
    • A multi-objective evolutionary algorithm with weighted-sum niching for convergence on knee regions
    • Seattle, WA, USA
    • L. Rachmawati and D. Srinivasan, "A multi-objective evolutionary algorithm with weighted-sum niching for convergence on knee regions, " in Proc. 8th Int. Conf. Genet. Evol. Comput., Seattle, WA, USA, 2006, pp. 749-750.
    • (2006) Proc. 8th Int. Conf. Genet. Evol. Comput , pp. 749-750
    • Rachmawati, L.1    Srinivasan, D.2
  • 46
    • 77954751575 scopus 로고    scopus 로고
    • Searching for knee regions in multi-objective optimization using mobile reference points
    • Sierre, Switzerland
    • S. Bechikh, L. B. Said, and K. Ghédira, "Searching for knee regions in multi-objective optimization using mobile reference points, " in Proc. ACM Symp. Appl. Comput., Sierre, Switzerland, 2010, pp. 1118-1125.
    • (2011) Proc ACM Symp. Appl. Comput , pp. 1118-1125
    • Bechikh, S.1    Said, L.B.2    Ghédira, K.3
  • 47
    • 34548069243 scopus 로고    scopus 로고
    • Reference point based multi-objective optimization using evolutionary algorithms
    • K. Deb, J. Sundar, U. Bhaskara, and S. Chaudhuri, "Reference point based multi-objective optimization using evolutionary algorithms, " Int. J. Comput. Intell. Res., vol. 2, no. 3, pp. 635-642, 2006.
    • (2006) Int. J. Comput. Intell. Res , vol.2 , Issue.3 , pp. 635-642
    • Deb, K.1    Sundar, J.2    Bhaskara, U.3    Chaudhuri, S.4
  • 48
    • 80051859362 scopus 로고    scopus 로고
    • Understanding knee points in bicriteria problems and their implications as preferred solution principles
    • K. Deb and S. Gupta, "Understanding knee points in bicriteria problems and their implications as preferred solution principles, " Eng. Optim., vol. 43, no. 11, pp. 1175-1204, 2011.
    • (2011) Eng. Optim , vol.43 , Issue.11 , pp. 1175-1204
    • Deb, K.1    Gupta, S.2
  • 49
    • 84959379320 scopus 로고    scopus 로고
    • Scaling and visualizing multiobjective optimization test problems with knees
    • Ljubljana, Slovenia
    • T. Tušar and B. Filipi?c, "Scaling and visualizing multiobjective optimization test problems with knees, " in Proc. 15th Int. Multiconf. Inf. Soc., Ljubljana, Slovenia, 2012, pp. 155-158.
    • (2012) Proc. 15th Int. Multiconf. Inf. Soc , pp. 155-158
    • Tušar, T.1    Filipic, B.2
  • 50
    • 31744438420 scopus 로고    scopus 로고
    • A faster algorithm for calculating hypervolume
    • Feb
    • L. While, P. Hingston, L. Barone, and S. Huband, "A faster algorithm for calculating hypervolume, " IEEE Trans. Evol. Comput., vol. 10, no. 1, pp. 29-38, Feb. 2006.
    • (2006) IEEE Trans. Evol. Comput , vol.10 , Issue.1 , pp. 29-38
    • While, L.1    Hingston, P.2    Barone, L.3    Huband, S.4
  • 51
    • 84926333292 scopus 로고    scopus 로고
    • An efficient approach to nondominated sorting for evolutionary multiobjective optimization
    • X. Zhang, Y. Tian, R. Cheng, and Y. Jin, "An efficient approach to nondominated sorting for evolutionary multiobjective optimization, " IEEE Trans. Evol. Comput., vol. 19, no. 2, pp. 201-213, 2015.
    • (2015) IEEE Trans. Evol. Comput , vol.19 , Issue.2 , pp. 201-213
    • Zhang, X.1    Tian, Y.2    Cheng, R.3    Jin, Y.4
  • 52
    • 0000991259 scopus 로고
    • Simulated binary crossover for continuous search space
    • K. Deb and R. B. Agrawal, "Simulated binary crossover for continuous search space, " Compl. Syst., vol. 9, no. 4, pp. 115-148, 1995.
    • (1995) Compl. Syst , vol.9 , Issue.4 , pp. 115-148
    • Deb, K.1    Agrawal, R.B.2
  • 53
    • 0040445957 scopus 로고    scopus 로고
    • A combined genetic adaptive search (GeneAS) for engineering design
    • K. Deb and M. Goyal, "A combined genetic adaptive search (GeneAS) for engineering design, " Comput. Sci. Informat., vol. 26, no. 4, pp. 30-45, 1996.
    • (1996) Comput. Sci. Informat , vol.26 , Issue.4 , pp. 30-45
    • Deb, K.1    Goyal, M.2
  • 54
    • 1842805157 scopus 로고    scopus 로고
    • Scalable test problems for evolutionary multi-objective optimization
    • ETH Zurich, Zurich, Switzerland, TIK-Tech. Rep
    • K. Deb, L. Thiele, M. Laumanns, and E. Zitzler, "Scalable test problems for evolutionary multi-objective optimization, " Dept. Comput. Eng. Netw. Lab., ETH Zurich, Zurich, Switzerland, TIK-Tech. Rep. 112, 2001.
    • (2001) Dept. Comput. Eng. Netw. Lab , vol.112
    • Deb, K.1    Thiele, L.2    Laumanns, M.3    Zitzler, E.4
  • 55
    • 33749860403 scopus 로고    scopus 로고
    • A review of multiobjective test problems and a scalable test problem toolkit
    • Oct
    • S. Huband, P. Hingston, L. Barone, and L. While, "A review of multiobjective test problems and a scalable test problem toolkit, " IEEE Trans. Evol. Comput., vol. 10, no. 5, pp. 477-506, Oct. 2006.
    • (2006) IEEE Trans. Evol. Comput , vol.10 , Issue.5 , pp. 477-506
    • Huband, S.1    Hingston, P.2    Barone, L.3    While, L.4
  • 56
    • 27144536019 scopus 로고    scopus 로고
    • Multi-Objective optimization using evolutionary algorithms
    • K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms. New York, NY, USA: Wiley, 2001.
    • (2001) New York, NY, USA Wiley
    • Deb, K.1
  • 57
    • 40249102027 scopus 로고    scopus 로고
    • RM-MEDA: A regularity model-based multiobjective estimation of distribution algorithm
    • Feb
    • Q. Zhang, A. Zhou, and Y. Jin, "RM-MEDA: A regularity model-based multiobjective estimation of distribution algorithm, " IEEE Trans. Evol. Comput., vol. 12, no. 1, pp. 41-63, Feb. 2008.
    • (2008) IEEE Trans. Evol. Comput , vol.12 , Issue.1 , pp. 41-63
    • Zhang, Q.1    Zhou, A.2    Jin, Y.3
  • 58
    • 78650751264 scopus 로고    scopus 로고
    • Spread assessment for evolutionary multiobjective optimization
    • Nantes, France
    • M. Li and J. Zheng, "Spread assessment for evolutionary multiobjective optimization, " in Proc. 5th Int. Conf. Evol. Multi-Criterion Optim., Nantes, France, 2009, pp. 216-230.
    • (2009) Proc. 5th Int. Conf. Evol. Multi-Criterion Optim , pp. 216-230
    • Li, M.1    Zheng, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.