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Summary: Reliability Evaluation of Multistage
Networks Considering Replacement Time
M.E. Khan and M. Atiquzzaman
Department of Electrical and Computer Systems Engineering
Monash University, Clayton, Australia 3168.
ekhan@basil.eng.monash.edu.au, atiq@monash.edu.au
Abstract: In some recent papers, the reliability analyses for multistage
interconnection networks (MIN) have been carried out with the assump
tion that the failed components are not repaired (replaced). However,
in most practical cases a faulty component would be repaired (replaced)
within a certain period of time. In this paper, we determine the net
work reliability of MINs with component failures and normal replacement
time, and determine the maximum allowable replacement time (MART)
for a given reliability. The use of approximate cut set method has been
demonstrated for reliability calculation of the multistage network.
1 Introduction
Multiprocessor systems are becoming increasingly popular in solving largescale com
pute bound problems. Multistage interconnection networks (MIN) have been found to be
very cost effective for connecting a large number of processors and memories. MINs have
also been used as ATM switching fabrics in the emerging Broadband Integrated Services
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