Fault-tolerant multiprocessors with redundant-path interconnection networks

Journal Article · Tue Apr 01 00:00:00 EST 1986 · IEEE Trans. Comput.; (United States)

OSTI ID:5704786

In this paper, the authors study fault-tolerant multiprocessor systems employing redundant-path multistage interconnection networks. Such systems permit interprocessor communication in the presence of faulty components in the network. The interconnection network considered is a delta network augmented with an extra switching stage in front. When the first and last stages are fault-free, the extra-stage delta networks continue to provide full access in the presence of all single and many multiple faults in switching elements of the intermediate stages. In this paper, they use graph-theoretic techniques to study the problem of routing permutations in extra-stage delta networks when faults are present in the network. They first formulate the problem of performing an arbitrary permutation on the fault-free network as a vertex-coloring problem and later extend this to networks with noncritical faults. Although the general problem of realizing a permutation in minimum number of passes is intractable, classes of permutations with some regularity can be routed optimally. To illustrate the idea, they consider the class of BPC (bit permute-complement) permutations: algorithms for performing arbitrary permutations in this class on the extra-stage delta network are given, both for the fault-free network and for a network with noncritical faults.

• Research Organization: Dept. of Electrical Eng.-Systems, Univ. of Southern California, Los Angeles, CA 90089
• OSTI ID: 5704786
• Journal Information: IEEE Trans. Comput.; (United States), Vol. C-35:4
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ARRAY PROCESSORS
ARCHITECTURE
RELIABILITY
FAULT TOLERANT COMPUTERS
ALGORITHMS
FAILURES
GRAPHS
ROUTING
SWITCHES
COMPUTERS
DIGITAL COMPUTERS
ELECTRICAL EQUIPMENT
EQUIPMENT
MATHEMATICAL LOGIC
990200* - Mathematics & Computers