Issue No.09 - September (1976 vol.25)
J.P. Hayes , Department of Electrical Engineering and the Computer Science Program, University of Southern California
An approach to fault-tolerant design is described in which a computing system S and an algorithm A to be executed by S are both defined by graphs whose nodes represent computing facilities. A is executable by S if A is isomorphic to a subgraph of S.A k-fault is the removal of k nodes (facilities) from S.S is a k-fault tolerant (k-FT) realization of A if A can be executed by S with any k-fault present in S. The problem of designing optimal k-FT systems is considered where A is equated to a 0-FT system. Techniques are described for designing optimal k-FT realizations of single-loop systems; these techniques are related to results in Hamiltonian graph theory. The design of optimal k-FT realizations of certain types of tree systems is also examined. The advantages and disadvantages of the graph model are discussed.
Computer architecture, fault-tolerant computing, fault-tolerant design, graph theory, Hamiltonian graphs, single-loop systems, tree systems.
J.P. Hayes, "A Graph Model for Fault-Tolerant Computing Systems", IEEE Transactions on Computers, vol.25, no. 9, pp. 875-884, September 1976, doi:10.1109/TC.1976.1674712