https://doi.org/10.1140/epjb/e2005-00107-6
Complex grid computing
Instituto de Física de São Carlos,
Universidade de São Paulo, Caixa Postal 369, 13560-970, São
Carlos, SP, Brazil
Corresponding author: a gonzalo@ifsc.usp.br
Received:
6
October
2004
Revised:
20
December
2004
Published online:
16
April
2005
This article investigates the functional properties of complex networks used as grid computing systems. Complex networks following the Erdös-Rényi model and other models with a preferential attachment rule (with and without growth) or priority to the connection of isolated nodes are studied. Regular networks are also considered for comparison. The processing load of the parallel program executed on the grid is assigned to the nodes on demand, and the efficiency of the overall computation is quantified in terms of the parallel speedup. It is found that networks with preferential attachment allow lower computing efficiency than networks with uniform link attachment. At the same time, considering only node clusters of the same size, preferential attachment networks display better efficiencies. The regular networks, on the other hand, display a poor efficiency, due to their implied larger internode distances. A correlation is observed between the topological properties of the network, specially average cluster size, and their respective computing efficiency.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.20.Ff – Computer science and technology / 89.20.Hh – World Wide Web, Internet / 02.10.Ox – Combinatorics; graph theory / 89.75.Hc – Networks and genealogical trees
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005