Abstract
We compare two optimization algorithms which glean their heuristic from nature: simulated annealing and evolution strategy. These algorithms are applied to difficult optimization problems: finding binary sequences with low autocorrelation, calculating ground states of certain spin glass Hamiltonians, and giving the optimal tour in a traveling salesman problem. Our findings show a problem dependence of the quality of the results. Because of fundamental difficulties in the judgement of the algorithms' quality no final conclusion can be drawn, but the comparison gives valuable insight in the behaviour of the algorithms.
Preview
Unable to display preview. Download preview PDF.
References
L. Davis [ed.]:Genetic Algorithms and Simulated Annealing, Pitman, London, 1987
N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, E. Teller: J. Chem. Phys., 21 (1953), 1087
S. Kirkpatrick, C.D. Gelatt, M.P. Vecchi: Science, 220 (1983), 671
V. Černy: J. Opt. Theory Appl., 45 (1985) 41
K.H. Hoffmann, P. Salamom: J. Phys. A, 23 (1990), 3511; I. Morgenstern, D. Würtz: Z. Phys. B, 67 (1987), 397
P. van Laarhoven, E. Aarts:Simulated Annealing: Theory and Applications, Reidel, Dordrecht, 1987
I. Rechenberg:Evolutionsstrategie, Frommann-Holzboog, Stuttgart, 1973; H.-P. Schwefel:Numerische Optimierung von Computer-Modellen mittels der Evolutionsstrategie, Birkhäuser, Basel, 1977
J.H. Holland:Adaptation in Natural and Artificial Systems, University Press, Ann Arbor, 1975
Q. Wang: Biol. Cybern., 57 (1987), 95
C. de Groot, D. Würtz, K.H. Hoffmann:Low Autocorrelation Binary Sequences: Exact Enumeration and Optimization by Evolution Strategies, to appear in: Biol. Cybern., IPS Preprint No. 89-09
D.E. Goldberg:Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, Reading, 1989
J.J. Grefenstette:Proceedings of an international conference on genetic algorithms and their applications, Pittsburgh, 1985
C. de Groot:Diploma Thesis, Heidelberg, 1989
M.J.E. Golay: IEEE Trans. Inf. Theory, IT-28 (1982), 543; IT-23 (1977), 43
G. Beenker, T. Claasen, P. Hermens: Philips J. Res., 40 (1985), 289
J. Bernasconi: J. Physique, 48 (1987), 559
I. Morgenstern, J.L. van Hemmen [eds.]:Heidelberg Colloquium on Glassy Dynamics, Springer, Heidelberg, 1986/1987.
R. Janßen, T. Sillke: APL Quote Quad, 3 (1989), 14
M. Padberg, G. Rinaldi: Oper. Res. Lett., 6 (1987), 1
M. Hanf, D. Würtz, K.H. Hoffmann, C. de Groot, Y. Lehareinger, M. Anliker:Implementation of a new adaptive simulated annealing schedule on a multi transputer system, IPS Preprint No. 90-13
G. Dueck: Research Report TR 89.06.011, IBM Scientific Center Heidelberg 1988
H. Mühlenbein, J. Kindermann: in: Connectionism in Perspective, R. Pfeifer et al. [eds.], North-Holland Publ., 1989
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
de Groot, C., Würtz, D., Hoffmann, K.H. (1991). Optimizing complex problems by nature's algorithms: Simulated annealing and evolution strategy—a comparative study. In: Schwefel, HP., Männer, R. (eds) Parallel Problem Solving from Nature. PPSN 1990. Lecture Notes in Computer Science, vol 496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029786
Download citation
DOI: https://doi.org/10.1007/BFb0029786
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54148-6
Online ISBN: 978-3-540-70652-6
eBook Packages: Springer Book Archive