When using gentic and evolutionary algorithms (GEAs) for the optimal communication spanning problem, the design of a suitable tree network encoding is crucial for finding good solutions. The link and node biased (LNB) encoding represents the structure of a tree network using a weighted vector...

This paper investigates how the use of redundant representations influences the performance ofgenetic and evolutionary algorithms. Representations are redundant if the number of genotypesexceeds the number of phenotypes. A distinction is made between synonymously and nonsynonymouslyredundant...

This paper investigates GA approaches for solving the reliable communicationnetwork design problem. For solving this problem a graph withminimum cost must be found that satises a given network reliabilityconstraint. To consider the additional reliability constraint dierent approachesare...

The edge-set encoding is a direct encoding for trees which directly representstrees as sets of edges. In contrast to indirect representations, whereusually standard operators are applied to a list of strings and the resultingphenotype is constructed by an appropriate genotype-phenotypemapping,...

For the reliable communication network design (RCND) problem links areunreliable and for each link several options are available with dierent reliabilitiesand costs. The goal is to nd a cost-minimal communicationnetwork design that satises a pre-dened overall reliability constraint.This paper...

The most important element in the design of a decoder-based evolutionary algorithmis its genotypic representation. The genotype-decoder pair must exhibit efficiency, locality, and heritability to enable effective evolutionary search.[...]