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Volumn 13, Issue 3, 2009, Pages 591-603

On the effects of adding objectives to plateau functions

Author keywords

Multiobjective optimization; Running time analysis; Theory

Indexed keywords

COMPUTATIONAL EFFORT; DIFFERENT EFFECTS; EXPERIMENTAL STUDIES; OPTIMIZATION PROBLEMS; PARETO OPTIMAL SOLUTIONS; RUNNING TIME; RUNNING TIME ANALYSIS; THEORY;

EID: 67650132402     PISSN: 1089778X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEVC.2008.2009064     Document Type: Article
Times cited : (78)

References (32)
  • 1
    • 35248851504 scopus 로고    scopus 로고
    • Pisa A platform and programming language independent interface for search algorithms
    • Proc. 2nd Int. Conf. Evol. Multi-Criterion Optimization EMO, New York: Springer-Verlag
    • S. Bleuler, M. Laumanns, L. Thiele, and E. Zitzler, "Pisa A platform and programming language independent interface for search algorithms," in Proc. 2nd Int. Conf. Evol. Multi-Criterion Optimization (EMO), LNCS vol. 2632. New York: Springer-Verlag, 2003, pp. 494-508.
    • (2003) LNCS , vol.2632 , pp. 494-508
    • Bleuler, S.1    Laumanns, M.2    Thiele, L.3    Zitzler, E.4
  • 3
    • 33750250967 scopus 로고    scopus 로고
    • Are all objectives necessary? On dimensionality reduction in evolutionary multiobjective optimization
    • Proc. 9th Int. Conf. Parallel Problem Solving From Nature PPSN, New York: Springer-Verlag
    • D. Brockhoff and E. Zitzler, "Are all objectives necessary? On dimensionality reduction in evolutionary multiobjective optimization," in Proc. 9th Int. Conf. Parallel Problem Solving From Nature (PPSN) LNCS vol. 4193. New York: Springer-Verlag, 2006, pp. 533-542.
    • (2006) LNCS , vol.4193 , pp. 533-542
    • Brockhoff, D.1    Zitzler, E.2
  • 4
    • 55749098297 scopus 로고    scopus 로고
    • Dimensionality reduction in multiobjective optimization: The minimum objective subset problem
    • New York: Springer-Verlag, pp
    • D. Brockhoff and E. Zitzler, "Dimensionality reduction in multiobjective optimization: The minimum objective subset problem," in Proc. Operations Res. 2006, New York: Springer-Verlag, pp. 423-429.
    • Proc. Operations Res. 2006 , pp. 423-429
    • Brockhoff, D.1    Zitzler, E.2
  • 8
    • 38149052268 scopus 로고    scopus 로고
    • Speeding up evolutionary algorithms through asymmetric mutation operators
    • Nov
    • B. Doerr, N. Hebbinghaus, and F. Neumann, "Speeding up evolutionary algorithms through asymmetric mutation operators," Evol. Comput., vol. 15, no. 4, pp. 401-410, Nov. 2007.
    • (2007) Evol. Comput , vol.15 , Issue.4 , pp. 401-410
    • Doerr, B.1    Hebbinghaus, N.2    Neumann, F.3
  • 9
    • 0037029331 scopus 로고    scopus 로고
    • On the analysis of the (1 + 1) evolutionary algorithm
    • Apr
    • S. Droste, T. Jansen, and I. Wegener, "On the analysis of the (1 + 1) evolutionary algorithm," Theoretical Comput, Sci., vol. 276, no. 1-2, pp. 51-81, Apr. 2002.
    • (2002) Theoretical Comput, Sci , vol.276 , Issue.1-2 , pp. 51-81
    • Droste, S.1    Jansen, T.2    Wegener, I.3
  • 10
    • 24344444451 scopus 로고    scopus 로고
    • Many-objective optimization: An engineering design perspective
    • Proc. 3rd Int. Conf. Evol. Multi-Criterion Optimization, New York: Springer-Verlag
    • P. J. Fleming, R. C. Purshouse, and R. J. Lygoe, "Many-objective optimization: An engineering design perspective," in Proc. 3rd Int. Conf. Evol. Multi-Criterion Optimization, LNCS vol. 3410. New York: Springer-Verlag, 2005, pp. 14-32.
    • (2005) LNCS , vol.3410 , pp. 14-32
    • Fleming, P.J.1    Purshouse, R.C.2    Lygoe, R.J.3
  • 11
    • 0002629429 scopus 로고
    • An overview of evolutionary algorithms in multiobjective optimization
    • C. M. Fonseca and P. J. Fleming, "An overview of evolutionary algorithms in multiobjective optimization," Evol. Comput., vol. 3, no. 1, pp. 1-16, 1995.
    • (1995) Evol. Comput , vol.3 , Issue.1 , pp. 1-16
    • Fonseca, C.M.1    Fleming, P.J.2
  • 12
    • 84901427246 scopus 로고    scopus 로고
    • Expected runtimes of a simple multiobjective evolutionary algorithm
    • Piscataway, NJ: IEEE Press, pp
    • O. Giel, "Expected runtimes of a simple multiobjective evolutionary algorithm," in Proc. 2003 IEEE Congr. Evol. Comput. (CEC), Piscataway, NJ: IEEE Press, pp. 1918-1925.
    • Proc. 2003 IEEE Congr. Evol. Comput. (CEC) , pp. 1918-1925
    • Giel, O.1
  • 13
    • 35248874381 scopus 로고    scopus 로고
    • Evolutionary algorithms and the maximum matching problem
    • Proc. 20th Annu. Symp. Theoretical Aspects Comput. Sci, STACS, New York: Springer-Verlag
    • O. Giel and I. Wegener, "Evolutionary algorithms and the maximum matching problem," in Proc. 20th Annu. Symp. Theoretical Aspects Comput. Sci. (STACS), LNCS vol. 2607. New York: Springer-Verlag, 2003, pp. 415-426.
    • (2003) LNCS , vol.2607 , pp. 415-426
    • Giel, O.1    Wegener, I.2
  • 14
    • 0000454216 scopus 로고    scopus 로고
    • Multicriterion decision making
    • Oxford, U.K. Oxford Univ. Press
    • J. Horn, "Multicriterion decision making," in Handbook Evol. Comput., Oxford, U.K. Oxford Univ. Press, 1997.
    • (1997) Handbook Evol. Comput
    • Horn, J.1
  • 15
    • 27144491331 scopus 로고    scopus 로고
    • Design and analysis of an asymmetric mutation operator
    • Piscataway, NJ: IEEE Press, pp
    • T. Jansen and D. Sudholt, "Design and analysis of an asymmetric mutation operator," in Proc. 2005 IEEE Congr. Evol. Comput. (CEC Piscataway, NJ: IEEE Press, pp. 190-197.
    • Proc. 2005 IEEE Congr. Evol. Comput. (CEC , pp. 190-197
    • Jansen, T.1    Sudholt, D.2
  • 16
    • 0035694032 scopus 로고    scopus 로고
    • Evolutionary algorithms How to cope with plateaus of constant fitness and when to reject strings of the same fitness
    • Dec
    • T. Jansen and I. Wegener, "Evolutionary algorithms How to cope with plateaus of constant fitness and when to reject strings of the same fitness," IEEE Trans. Evol. Comput., vol. 5, no. 6, pp. 589-599, Dec. 2001.
    • (2001) IEEE Trans. Evol. Comput , vol.5 , Issue.6 , pp. 589-599
    • Jansen, T.1    Wegener, I.2
  • 17
    • 20944439075 scopus 로고    scopus 로고
    • Helper-objectives: Using multiobjective evolutionary algorithms for single-objective optimisation
    • M. T. Jensen, "Helper-objectives: Using multiobjective evolutionary algorithms for single-objective optimisation," J. Math. Modelling and Algorithms, vol. 3, no. 4, pp. 323-347, 2004.
    • (2004) J. Math. Modelling and Algorithms , vol.3 , Issue.4 , pp. 323-347
    • Jensen, M.T.1
  • 18
    • 84931320658 scopus 로고    scopus 로고
    • Reducing local optima in single-objective problems by multiobjectivization
    • LNCS New York: Springer-Verlag
    • J. D. Knowles, R. A. Watson, and D. W. Corne, "Reducing local optima in single-objective problems by multiobjectivization," in Proc. 1st Int. Conf. Evol. Multi-Criterion Optimization, LNCS vol. 1993. New York: Springer-Verlag, 2001, pp. 269-283.
    • (2001) Proc. 1st Int. Conf. Evol. Multi-Criterion Optimization , vol.1993 , pp. 269-283
    • Knowles, J.D.1    Watson, R.A.2    Corne, D.W.3
  • 19
    • 4344673791 scopus 로고    scopus 로고
    • Running time analysis of evolutionary algorithms on a simplified multiobjective knapsack problem
    • Mar
    • M. Laumanns, L. Thiele, and E. Zitzler, "Running time analysis of evolutionary algorithms on a simplified multiobjective knapsack problem," Natural Computing, vol. 3, no. 1, pp. 37-51, Mar. 2004.
    • (2004) Natural Computing , vol.3 , Issue.1 , pp. 37-51
    • Laumanns, M.1    Thiele, L.2    Zitzler, E.3
  • 20
    • 84944314297 scopus 로고    scopus 로고
    • Running time analysis of multiobjective evolutionary algorithms on a simple discrete optimization problem
    • Proc. 7th Int. Conf. Parallel Problem Solving from Nature, New York: Springer-Verlag
    • M. Laumanns, L. Thiele, E. Zitzler, E. Welzl, and K. Deb, "Running time analysis of multiobjective evolutionary algorithms on a simple discrete optimization problem," in Proc. 7th Int. Conf. Parallel Problem Solving from Nature, LNCS vol. 2439. New York: Springer-Verlag, 2002, pp. 44-53.
    • (2002) LNCS , vol.2439 , pp. 44-53
    • Laumanns, M.1    Thiele, L.2    Zitzler, E.3    Welzl, E.4    Deb, K.5
  • 23
    • 33947693367 scopus 로고    scopus 로고
    • Expected runtimes of a simple evolutionary algorithm for the multiobjective minimum spanning tree problem
    • F. Neumann, "Expected runtimes of a simple evolutionary algorithm for the multiobjective minimum spanning tree problem," Eur. J. Oper. Res., vol. 181, no. 3, pp. 1620-1629, 2007.
    • (2007) Eur. J. Oper. Res , vol.181 , Issue.3 , pp. 1620-1629
    • Neumann, F.1
  • 24
    • 38849207510 scopus 로고    scopus 로고
    • Expected runtimes of evolutionary algorithms for the Eulerian cycle problem
    • Sep
    • F. Neumann, "Expected runtimes of evolutionary algorithms for the Eulerian cycle problem," Comput. Operations Res., vol. 35, no. 9, pp. 2750-2759, Sep. 2008.
    • (2008) Comput. Operations Res , vol.35 , Issue.9 , pp. 2750-2759
    • Neumann, F.1
  • 25
    • 33748121602 scopus 로고    scopus 로고
    • Minimum spanning trees made easier via multiobjective optimization
    • Sep
    • F. Neumann and I. Wegener, "Minimum spanning trees made easier via multiobjective optimization," Natural Computing, vol. 5, no. 3, pp. 305-319, Sep. 2006.
    • (2006) Natural Computing , vol.5 , Issue.3 , pp. 305-319
    • Neumann, F.1    Wegener, I.2
  • 26
    • 34248139794 scopus 로고    scopus 로고
    • Randomized local search, evolutionary algorithms, and the minimum spanning tree problem
    • Jun
    • F. Neumann and I. Wegener, "Randomized local search, evolutionary algorithms, and the minimum spanning tree problem," Theoretical Comput. Sci., vol. 378, no. 1, pp. 32-40, Jun. 2007.
    • (2007) Theoretical Comput. Sci , vol.378 , Issue.1 , pp. 32-40
    • Neumann, F.1    Wegener, I.2
  • 27
    • 36549051604 scopus 로고    scopus 로고
    • On the evolutionary optimization of many conflicting objectives
    • Dec
    • R. C. Purshouse and P. J. Fleming, "On the evolutionary optimization of many conflicting objectives," IEEE Trans. Evol. Comput., vol. 11, no. 6, pp. 770-784, Dec. 2007.
    • (2007) IEEE Trans. Evol. Comput , vol.11 , Issue.6 , pp. 770-784
    • Purshouse, R.C.1    Fleming, P.J.2
  • 29
    • 20944449011 scopus 로고    scopus 로고
    • The analysis of evolutionary algorithms on sorting and shortest paths problems
    • J. Scharnow, K. Tinnefeld, and I. Wegener, "The analysis of evolutionary algorithms on sorting and shortest paths problems," J. Math. Modelling and Algorithms, vol. 3, no. 4, pp. 349-366, 2004.
    • (2004) J. Math. Modelling and Algorithms , vol.3 , Issue.4 , pp. 349-366
    • Scharnow, J.1    Tinnefeld, K.2    Wegener, I.3
  • 30
    • 37248999403 scopus 로고    scopus 로고
    • Pareto-, aggregation-, and indicator-based methods in many-objective optimization
    • Proc. 4th Int. Conf. Evol. Multi-Criterion Optimization EMO, New York: Springer-Verlag
    • T. Wagner, N. Beume, and B. Naujoks, "Pareto-, aggregation-, and indicator-based methods in many-objective optimization," in Proc. 4th Int. Conf. Evol. Multi-Criterion Optimization (EMO), LNCS vol. 4403. New York: Springer-Verlag, 2007, pp. 742-756.
    • (2007) LNCS , vol.4403 , pp. 742-756
    • Wagner, T.1    Beume, N.2    Naujoks, B.3
  • 31
    • 0002024151 scopus 로고
    • Random orders
    • Dec
    • P. Winkler, "Random orders," Order, vol. 1, no. 4, pp. 317-331, Dec. 1985.
    • (1985) Order , vol.1 , Issue.4 , pp. 317-331
    • Winkler, P.1
  • 32
    • 24144442813 scopus 로고    scopus 로고
    • Worst-case and average-case approximations by simple randomized search heuristics
    • Proc. 22nd Annu. Symp. Theoretical Aspects Comput. Sci, STACS, New York: Springer-Verlag
    • C. Witt, "Worst-case and average-case approximations by simple randomized search heuristics," in Proc. 22nd Annu. Symp. Theoretical Aspects Comput. Sci. (STACS), LNCS vol. 3404. New York: Springer-Verlag, 2005, pp. 44-56.
    • (2005) LNCS , vol.3404 , pp. 44-56
    • Witt, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.