Title :
Reducing the number of sequential diagnosis iterations in hypercubes
Author :
Santi, Paolo ; Chessa, Stefano
Author_Institution :
Ist. di Informatica e Telematica, CNR, Pisa, Italy
fDate :
1/1/2004 12:00:00 AM
Abstract :
We use a vertex-isoperimetric inequality to show that the number of test and repair iterations needed to perform sequential diagnosis of d-dimensional hypercubes is upper bounded by d-r, where rεΘ(d). This result improves the best bound of d test and repair iterations previously known. Numerical evaluation has shown that the actual value of r ranges from 0.16d to 0.31d.
Keywords :
directed graphs; fault tolerant computing; iterative methods; parallel machines; hypercubes; parallel system; sequential diagnosis; vertex isoperimetric inequality; Fault diagnosis; Hypercubes; Iterative decoding; Performance evaluation; Sequential analysis; Sequential diagnosis; System testing; Time measurement;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.2004.1255796
