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September 1976 (vol. 25 no. 9)
pp. 875-884
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.
Index Terms:
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, Sept. 1976, doi:10.1109/TC.1976.1674712
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