In and out forests on combinatorial landscapes

A.R. Kammerdiner and E.L. Pasiliao

European Journal of Operational Research, 2014, vol. 236, issue 1, 78-84

Abstract: Fitness landscape theory is a mathematical framework for numerical analysis of search algorithms on combinatorial optimization problems. We study a representation of fitness landscape as a weighted directed graph. We consider out forest and in forest structures in this graph and establish important relationships among the forest structures of a directed graph, the spectral properties of the Laplacian matrices, and the numbers of local optima of the landscape. These relationships provide a new approach for computing the numbers of local optima for various problem instances and neighborhood structures.

Keywords: Local search; Fitness landscape; Local optima; Directed graph; Out forest (spanning diverging forest); In forest (spanning converging forest) (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:236:y:2014:i:1:p:78-84

DOI: 10.1016/j.ejor.2013.11.025

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