455 citations
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Showing 2006 · cs.PFShow all
3 papers · 2 filters
cs.PF2006★ 8 cited
Exact solutions for the two- and all-terminal reliabilities of the Brecht-Colbourn ladder and the generalized fan
Christian Tanguy
The two- and all-terminal reliabilities of the Brecht-Colbourn ladder and the generalized fan have been calculated exactly for arbitrary size as well as arbitrary individual edge a…
cs.PF2006★ 11 cited
Exact solutions for the two- and all-terminal reliabilities of a simple ladder network
Christian Tanguy
The exact calculation of network reliability in a probabilistic context has been a long-standing issue of practical importance, but a difficult one, even for planar graphs, with pe…
cs.PF2006★ 5 cited
Exact Failure Frequency Calculations for Extended Systems
Annie Druault-Vicard, Christian Tanguy
This paper shows how the steady-state availability and failure frequency can be calculated in a single pass for very large systems, when the availability is expressed as a product…