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<p>The banyan network, and networks topologically equivalent to it, have recently beenadopted as interconnection networks in multiprocessor systems. Often, a multiprocessorsystem is reconfigured when the banyan network becomes faulty. It is possible to avoid acomplicated reconfiguration process as long as the faulty banyan network still possessesthe dynamic full access (DFA) property. In this paper, we determine a necessary andsufficient condition for a faulty banyan network to possess the DFA property and design a test procedure based on the condition. The test procedure can be used to decompose afaulty banyan network into subsystems possessing the DFA property. We also evaluatethe probability that a banyan network loses the DFA property, given the number of faultyswitching elements. It is found that as long as faults do not occur in switching elementslocated in the first and last stages, this probability is very small, even when there arequite a few faulty switching elements.</p>
Index Termsmultiprocessor interconnection networks; computer testing; fault tolerant computing;reconfigurable architectures; dynamic full access property; multistage interconnectionnetworks; faulty banyan networ; multiprocessor system reconfiguration; test procedure;network decomposition; probability; faulty switching elements
T.H. Lee, J.J. Chou, "Testing the Dynamic Full Access Property of a Class of Multistage Interconnection Networks", IEEE Transactions on Parallel & Distributed Systems, vol. 5, no. , pp. 1206-1210, November 1994, doi:10.1109/71.329668
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