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dc.contributor.authorWhitley, Darrell
dc.contributor.authorSutton, Andrew M.
dc.contributor.authorOchoa, Gabriela
dc.contributor.authorChicano, Francisco 
dc.date.accessioned2014-09-29T11:28:28Z
dc.date.available2014-09-29T11:28:28Z
dc.date.issued2014-09-29
dc.identifier.otherDOI: 10.1016/j.tcs.2014.04.036
dc.identifier.urihttp://hdl.handle.net/10630/8134
dc.descriptionTheoretical Computer Science, 545, (2014), pp. 59-75es_ES
dc.description.abstractLocal search algorithms exploit moves on an adjacency graph of the search space. An “elementary landscape” exists if the objective function f is an eigenfunction of the Laplacian of the graph induced by the neighborhood operator; this allows various statistics about the neighborhood to be computed in closed form. A new component based model makes it relatively simple to prove that certain types of landscapes are elementary. The traveling salesperson problem, weighted graph (vertex) coloring and the minimum graph bisection problem yield elementary landscapes under commonly used local search operators. The component model is then used to efficiently compute the mean objective function value over partial neighborhoods for these same problems. For a traveling salesperson problem over n cities, the 2-opt neighborhood can be decomposed into ⌊n/2−1⌋ partial neighborhoods. For graph coloring and the minimum graph bisection problem, partial neighborhoods can be used to focus search on those moves that are capable of producing a solution with a strictly improving objective function value.es_ES
dc.description.sponsorshipAir Force Office of Scientific Research, Air Force Materiel Command, USAF, under grant number FA9550-08-1-0422.es_ES
dc.language.isoenges_ES
dc.relation.ispartofseriesTheoretical Computer Science;545
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.subjectLaplace, Operador dees_ES
dc.subject.otherFitness landscape analysises_ES
dc.subject.otherStochastic local searches_ES
dc.subject.otherElementary landscapeses_ES
dc.titleThe component model for elementary landscapes and partial neighborhoodses_ES
dc.typeinfo:eu-repo/semantics/preprintes_ES
dc.centroE.T.S.I. Informáticaes_ES


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