6533b82afe1ef96bd128ca9d

RESEARCH PRODUCT

Edge Orientation and the Design of Problem-Specific Crossover Operators for the OCST Problem

Franz RothlaufWolfgang Steitz

subject

Mathematical optimizationSpanning treeCrossoverEvolutionary algorithmApproximation algorithmEvolutionary computationTheoretical Computer ScienceMathematical OperatorsComputational Theory and MathematicsRobustness (computer science)Multiple edgesAlgorithmSoftwareMathematicsofComputing_DISCRETEMATHEMATICSMathematics

description

In the Euclidean optimal communication spanning tree problem, the edges in optimal trees not only have small weights but also point with high probability toward the center of the graph. These characteristics of optimal solutions can be used for the design of problem-specific evolutionary algorithms (EAs). Recombination operators of direct encodings like edge-set and NetDir can be extended such that they prefer not only edges with small distance weights but also edges that point toward the center of the graph. Experimental results show higher performance and robustness in comparison to EAs using existing crossover strategies.

https://doi.org/10.1109/tevc.2010.2093580