Reliability calculus using Max-plus algebra

Author:	Caileanu Corneliu, Technical University of Iasi, Romania
Topic:	6.4 Safeprocess
Session:	Fault Diagnosis and Fault Tolerant Control: Theory
Keywords:	Algebraic approaches, ELCP algorithm, Max-plus algebra, Reliability analysis, Reliability evaluation, Reliability theory, Residuation theory

Abstract

Max-plus algebra has been used in various fields as optimal control, statistical physics, discrete event systems, decision theory. In this paper an attempt is made to use it for the reliability calculus in solving the following problems: find the structure function of the system, keep track of the lowest reliability the system can get and find all the possible, eventually the lower bound, of the reliabilities of the elements (blocks) of the system which ensure a desired lower bound for the reliability of the system.