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Jamming model for the extremal optimization heuristic

Stefan Boettcher et al 2002 J. Phys. A: Math. Gen. 35 1109-1123   doi: 10.1088/0305-4470/35/5/301  Help

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Stefan Boettcher1 and Michelangelo Grigni2
1 Physics Department, Emory University, Atlanta, GA 30322, USA
2 Department of Mathematics and Computer Sciences, Emory University, Atlanta, GA 30322, USA
E-mail: sboettc@emory.edu and mic@mathcs.emory.edu

Abstract. 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 numbers: 02.60.Pn, 05.40.−a, 64.60.Cn, 75.10.Nr

Print publication: Issue 5 (8 February 2002)
Received 9 October 2001, in final form 10 December 2001
Published 25 January 2002

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