RESTART Simulation of Non-Markov Consecutive-K-Out-of-N: F Repairable Systems

Villén Altamirano, José (2010). RESTART Simulation of Non-Markov Consecutive-K-Out-of-N: F Repairable Systems. "Reliability Engineering & System Safety", v. 95 (n. 3); pp. 247-254. ISSN 0951-8320. https://doi.org/10.1016/j.ress.2009.10.005.

Description

Title: RESTART Simulation of Non-Markov Consecutive-K-Out-of-N: F Repairable Systems
Author/s:
  • Villén Altamirano, José
Item Type: Article
Título de Revista/Publicación: Reliability Engineering & System Safety
Date: January 2010
ISSN: 0951-8320
Volume: 95
Subjects:
Freetext Keywords: Dependability, Consecutive-k-out-of-n: F repairable system, Rare-event simulation, RESTAR
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The reliability of consecutive-k-out-of-n: F repairable systems and (k−1)-step Markov dependence is studied. The model analyzed in this paper is more general than those of previous studies given that repair time and component lifetimes are random variables that follow a general distribution. The system has one repair service which adopts a priority repair rule based on system failure risk. Since crude simulation has proved to be inefficient for highly dependable systems, the RESTART method was used for the estimation of steady-state unavailability, MTBF and unreliability. Probabilities up to the order of 10−16 have been accurately estimated with little computational effort. In this method, a number of simulation retrials are performed when the process enters regions of the state space where the chance of occurrence of a rare event (e.g., a system failure) is higher. The main difficulty for the application of this method is to find a suitable function, called the importance function, to define the regions. Given the simplicity involved in changing some model assumptions with RESTART, the importance function used in this paper could be useful for dependability estimation of many systems.

More information

Item ID: 7128
DC Identifier: http://oa.upm.es/7128/
OAI Identifier: oai:oa.upm.es:7128
DOI: 10.1016/j.ress.2009.10.005
Official URL: http://www.sciencedirect.com/science/journal/09518320
Deposited by: Memoria Investigacion
Deposited on: 20 May 2011 12:37
Last Modified: 20 Apr 2016 16:17
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