PERFORMANCE UTILITY OF MULTI-STATE CONSECUTIVE k -OUT-OF- n : G SYSTEMS
Mots-clés :
Reliability, component importance utility, multi-state, consecutive k -out-of- n, G systemsRésumé
Reliability importance of a component is a quantitative measure of the importance of the individual component in contributing to system reliability. In this paper, we discuss the contribution of an individual component to the performance utility of a multi-state consecutive k -out-of- n : G system, based on the utility importance of a component’s state in multi-state systems given by S.Wu and L.Y.Chan (2003), and we illustrate by an example.Téléchargements
Références
J. Fussell, How to calculate system reliability and safety characteristics, IEEE Trans.Reliab.,vol. 24, n° 3 (1975), pp. 169-174.
M. Cheok, G. Parry, and R. Sherry, "Use of importance measures in risk informed applications," Reliab. Eng. Syst. Saf., vol. 60, (1998), pp. 213-226 .
A. Aggarwal and R. Barlow, "A survey on network reliability and domination theory," Oper. Res., vol. 32, n° 2 (1984), pp. 478-492.
E. Elsayed, Reliability Engineering: Addison Wesley Longman Inc., (1996).
A. Hoyland and M. Rausand, System Reliability Theory: Models and Statistical Methods: John Wiley & Sons (1994).
F.C. Meng, "Comparing the importance of system components by some structural characteristics," IEEE Trans. Reliab., vol. 45, n° 1 (1996), pp. 59-65.
F.C. Meng, "Some further results on ranking the importance of system components," Reliab. Eng. Syst. Saf., vol. 47 (1995), pp. 97-101.
J.S. Hong and C.H. Lie, "Joint reliability importance of two edges in an undirected network," IEEE Trans. Reliab., vol. 42, n° 1 (1993), pp. 17-23.
M.J. Armstrong, "Joint reliability-importance of components," IEEE Trans. Reliab., vol. 44, n° 3 (1995), pp. 408-412.
A.P. Wood, "Multistate block diagrams and fault trees," IEEE Trans. Reliab., vol. R-34, n° 3 (1985), pp. 236-240.
G. Levitin and A. Lisnianski, Multi-state System Reliability. Series on Quality, Reliability and Engineering Statistics-vol. 6 : World Scientific Publishing (2003).
E. El-Neweihi, F. Proschan, and J. Sethuraman, "Multi-state coherent systems," J. Appl. Prob., vol. 15 (1978), pp. 675-688 .
W. Barlow and A. Wu, "Coherent systems with multi-state components," Math.Oper. Res., vol. 3, n° 4 (1978), pp 275-281.
W. Griffith, "Multi-state Reliability models," J. Appl. Prob., vol. 17 (1980), pp. 735-744 .
G. Levitin and A. Lisnianski, "Importance and sensitivity analysis of multi-state systems using the universal generating function," Reliab. Eng.
Syst. Saf., vol. 65 (1999) pp. 271-282 .
E. Zio and L. Podofillini, "Monte-Carlo simulation analysis of the effects on different system performance levels on the importance
on multi-state components," Reliab. Eng. Syst. Saf., vol. 82 (2003), pp. 63-73.
J.E. Ramirez-Marquez and D.W. Coit,"Composite Importance Measures for Multi-state Systems with Multi-state Components," IEEE Trans. Reliab., vol.54, n° 3 (2005), pp.517--529, .
S. Wu and L.Y. Chan, "Performance Utility- Analysis of Multi-State Systems,"IEEE. Trans.Reliab.,vol.52, n° 1 (2003), pp.14-21.
S. Belaloui and B. Ksir,"Reliability of multistate consecutive k -out-of- n : G systems," Inter .Journ.of. Reliab., Quality and Safety Engineering, vol.14, n° 4 (2007), pp.361-377.
J. Huang, M.J. Zuo and Z. Fang,"Multi-state consecutive k -out-of- n systems," IIE Trans. on Reliab. Engineering. vol.10, n° 3 (2003),
pp. 345-358 .