New method for the failure probability of strict circular consecutive-k-out-of-n:F system

A recursive formula is given for calculating the failure probability for circular consecutive– k-out–of– n :F systems such that isolated strings of failures of length less than (which do not cause system failure) do not occur, or are immediately corrected; ie, when system failure occurs it is becaus...

Full description

Bibliographic Details
Main Authors: Higashiyama, Y., Rumchev, Ventsi
Format: Journal Article
Published: International Institute of Informatics and Cybernetics 2010
Online Access:http://www.iiisci.org/Journal/CV$/sci/pdfs/KS123OF.pdf
http://hdl.handle.net/20.500.11937/11196
Description
Summary:A recursive formula is given for calculating the failure probability for circular consecutive– k-out–of– n :F systems such that isolated strings of failures of length less than (which do not cause system failure) do not occur, or are immediately corrected; ie, when system failure occurs it is because all failures present are in strings of length at least. New method gives the failure probability function of circular strict system with time complexity O(nk 2).