Spare processor allocation for fault tolerance in torus-based multicomputers

Some fault-tolerant architectures use the spare nodes or links to replace the faulty components. This paper gives solutions to spare processor placement problem for torus based networks. Optimal 1-hop spare processor placement methods for multi-dimensional tori and t-hop placement methods for 2D tori are described. In the presence of node failures, a system reconfiguration scheme using spare nodes is also given.