Probability vectors: A new fault-tolerant routing algorithm for k-Ary n-cubes

This paper describes a new fault-tolerant routing algorithm for the k-ary n-cube using the concept of "probability vectors". To compute these vectors, a node determines first its faulty set, which contains all its neighbouring nodes that are faulty or unreachable due to faulty nodes or links. Each node then calculates a probability vector, where the i-th element represents the probability that a destination node at distance i cannot be reached using a minimal path due to a faulty node or link. The probability vectors are used by all the nodes to achieve an efficient fault-tolerant routing in the network. Results from a performance analysis presented below show that the new algorithm exhibits good fault-tolerance properties in terms of the achieved percentage of reachability and routing distances.