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

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.

---

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).