%0 Journal Article %A Ben Ameur, Walid %A Pióro, Michal %A Pavón Mariño, Pablo %T On traffic domination in communication networks %D 2010 %U http://hdl.handle.net/10317/1535 %X Input data for communication network design/optimization problems involving multi-hour or uncertain tra c can consist of a large set of tra c matrices. These matrices are explicitly considered in prob- lem formulations for link dimensioning. However, many of these matrices are usually dominated by others so only a relatively small subset of ma- trices would be su cient to obtain proper link capacity reservations, sup- porting all original tra c matrices. Thus, elimination of the dominated matrices leads to substantially smaller optimization problems, making them treatable by contemporary solvers. In the paper we discuss the issues behind detecting domination of one tra c matrix over another. We consider two basic cases of domination: (i) total domination when the same tra c routing must be used for both matrices, and (ii) ordi- nary domination when tra c dependent routing can be used. The paper is based on our original results and generalizes the domination results known for fully connected networks. %K Ingeniería Telemática %K Optimización de la red %K Dominación de tráfico de matrices %K Optimización multihora %K Tráfico incierto %K Teoría de gráficos %K Network optimization %K Traffic matrices domination %K Multi-hour optimization %K Uncertain traffic %K Graph theory %~ GOEDOC, SUB GOETTINGEN