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Resource placement in the 4-dimensional cube-type processor networks with soft degradation

Kulesza R., Chudzikiewicz J., Zieliński Z.

Control and Cybernetics

2017

Vol. 46, no. 1

87--103

The paper considers some properties of selected types of perfect resource placements in 4-dimensional cube-type networks with soft degradation. The conditions of existence of perfect placements and the ways of determining resource placement are presented. Examples of diﬀerent types of placements are given. On the basis of the established forms of the network working structures along with network degradation the average number of working processors with speciﬁed order is determined. This value could be a measure of the network’s computing capabilities loss along with the increasing degree of network degradation for a given type of resource placement.