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Jamming model for the extremal optimization heuristic

Stefan Boettcher1 and Michelangelo Grigni2

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Extremal optimization, a recently introduced meta-heuristic for hard optimization problems, is analysed on a simple model of jamming. The model is motivated first by the problem of finding lowest energy configurations for a disordered spin system on a fixed-valence graph. The numerical results for the spin system exhibit the same phenomenology found in all earlier studies of extremal optimization, and our analytical results for the model reproduce many of these features.


PACS

02.60.Pn Numerical optimization

02.10.Ox Combinatorics; graph theory

MSC

65K10 Optimization and variational techniques (See also 49Mxx, 93B40)

05C80 Random graphs

Subjects

Mathematical physics

Computational physics

Dates

Issue 5 (8 February 2002)

Received 9 October 2001, in final form 10 December 2001

Published 25 January 2002



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