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A Theory and an Algorithm for Fault Diagnosis by Measuring Transmission Numbers in a Directed Network
Masakazu SENGOKU Shoji SHINODA Takeo ABE
Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Vol.E74A
No.4
pp.672678 Publication Date: 1991/04/25 Online ISSN:
DOI: Print ISSN: 09168508 Type of Manuscript: Special Section PAPER (Special Issue on Discrete Mathematics and Its Applications) Category: Keyword:
Full Text: PDF>>
Summary:
In location problems, the outtransmission and intransmission numbers are important indices to evaluate a directed network. We formulate and consider a new problem of fault diagnosis in a system modeled by a directed network in which to each edge a positive real number called the length of edge is assigned and to each vertex a positive real number called the weight of vertex is assigned. By a fault in a directed network, we mean any increase in the length of an edge with respect to its nominal length. A theory and an algorithm for detecting a fault edge in a directed network in which the above indices, i.e. outtransmission and/or intransmission numbers, are measurable, are presented.

