Paper Info
Title
Minimal Cut Vectors and Logical Differential Calculus
Abstract
Reliability analysis of Multi-State System is one of fields, where the methods of the multiple-valued logic are used efficiently. Multi-State System is a mathematical model in reliability engineering, which allows considering some performance level in the system reliability behavior. The principal problem in the reliability engineering is identification of the system components that have the most influence on the system reliability. One of possible approaches, which can be used for this task, is to identify minimal cut sets (or minimal cut vectors (MCVs)). MCVs represent situations in which the repair of any damaged component causes the system improvement. In this paper, the new theoretical background for identification of MCVs is considered. The presented method is based on logical differential calculus.
Year
DOI
Venue
2014
10.1109/ISMVL.2014.37
Multiple-Valued Logic
Keywords
Field
DocType
differentiation,multivalued logic,reliability,set theory,vectors,logical differential calculus,mathematical model,minimal cut sets,minimal cut vectors,multiple-valued logic,multistate system,performance level,reliability analysis,reliability engineering,system component identification,system reliability behavior,logical differential calculus,minimal cut vector,reliability,structure function
Set theory,Discrete mathematics,Computer science,Differential calculus,Structure function,Maintenance engineering
Conference
ISSN
Citations 
PageRank 
0195-623X
2
0.40
References 
Authors
7
4
Name
Order
Citations
PageRank
Miroslav Kvassay198.85
Elena N. Zaitseva25314.38
V. G. Levashenko3244.24
Jozef Kostolny454.92