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math.PR2008★ 1 cited
Reliability analysis of semicoherent systems through their lattice polynomial descriptions
Alexander Dukhovny, Jean-Luc Marichal
A semicoherent system can be described by its structure function or, equivalently, by a lattice polynomial function expressing the system lifetime in terms of the component lifetim…
math.PR2007
System reliability and weighted lattice polynomials
Alexander Dukhovny, Jean-Luc Marichal
The lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of…