Chakravarthy, Srinivas R. y Gómez-Corral, Antonio (2009) The influence of delivery times on repairable k-out-of-N systems with spares. Applied Mathematical Modelling, 33 (5). pp. 2368-2387. ISSN 0307-904X
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The k-out-of-N structure is a popular type of redundancy in fault-tolerant systems with wide applications in computer and communication systems. and power transmission and distribution systems, among others, during the past several decades. In this paper, our interest is in such a reliability system with identical, repairable components having exponential life times, in which at least k out of N components are needed for the system to perform its functions. There is a single repairman who attends to failed components on a first-come-first-served basis. The repair times are assumed to be of phase type. The system has K spares which can be tapped to extend the lifetime of the system using a probabilistic rule. We assume that the delivery time of a spare is exponentially distributed and there could be multiple requests for spares at any given time. Our main goal is to study the influence of delivery times on the performance measures of the k-out-of-N reliability system. To that end, the system is analyzed using a finite quasi-birth-and-death process and some interesting results are obtained.
|Tipo de documento:||Artículo|
|Palabras clave:||Algorithmic probability; K-out-of-N system; Phase type distribution; Finite quasi-birth-and-death process; Reliability; Repairable system|
|Materias:||Ciencias > Matemáticas > Investigación operativa|
W.J. Ke, S.D. Wang, Reliability evaluation for distributed computing networks with imperfect nodes, IEEE Trans. Reliab. 46 (1997) 342–349.
M.A. Samad, An efficient algorithm for simultaneously deducing minimal paths as well as cuts of a communication network, Microelectron. Reliab. 27 (1987) 437–441.
T. Aven, Availability evaluation of oil/gas production and transportation systems, Reliab. Eng. 18 (1987) 35–44.
H.S. Balaban, Some effects of redundancy on system reliability, in: Proceedings of the Sixth National Symposium on Reliability and Quality Control,1960, p. 89–95.
W. Kuo, M.J. Zuo, Optimal Reliability Modeling – Principles and Applications, John Wiley and Sons, New York, 2003.
S.V. Amari, H. Pham, G. Dill, Optimal design of k-out-of-n:G subsystems subjected to imperfect fault-coverage, IEEE Trans. Reliab. 53 (2004) 567–575.
X. Li, J. Chen, Aging properties of the residual life length of k-out-of-n systems with independent but non-identical components, Appl. Stochast. Models Bus. Indus. 20 (2004) 143–153.
X. Li, M.J. Zuo, R.C.M. Yam, Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down,Reliab. Eng. Syst. Safety 91 (2006) 305–310.
Y. Wu, J. Guan, Repairable consecutive-k-out-of-N:G systems with r repairmen, IEEE Trans. Reliab. 54 (2005) 328–337.
S.R. Chakravarthy, Analysis of a k-out-of-N system with spares and repairs, J. Appl. Mathemat. Stochast. Anal. 2006 (2006), Article ID 39093, 23 p.
W.J. Kennedy, J.W. Patterson, L.D. Fredendall, An overview of recent literature on spare parts inventories, Int. J. Prod. Econom. 76 (2002) 201–215.
B.B. Fawzi, A.G. Hawkes, Availability of an R-out-of-N system with spares and repairs, J. Appl. Probab. 28 (1991) 397–408.
E. Frostig, B. Levikson, On the availability of R out of N repairable systems, Naval Res. Logist. 49 (2002) 483–498.
K.S. De Smidt-Destombes, M.C. van der Heijden, A. van Harten, On the availability of a k-out-of-N system given limited spares and repair capacity under a condition based maintenance strategy, Reliab. Eng. Syst. Safety 83 (2004) 287–300.
P.J. Boland, E. El-Neweihi, F. Proschan, Redundancy importance and allocation of spares in coherent systems, J. Statist. Plan. Infer. 29 (1991) 55–66.
H. Singh, R.S. Singh, On allocation of spares at component level versus system level, J. Appl. Probab. 34 (1997) 283–287.
A. Graham, Kronecker Products and Matrix Calculus with Applications, Ellis Horwood, Chichester, 1981.
M.F. Neuts, Matrix-Geometric Solutions in Stochastic Models – An Algorithmic Approach, Dover Publications, New York, 1994. Originally published by Johns Hopkins University Press, Baltimore, 1981.
D.G. Robinson, M.F. Neuts, An algorithmic approach to increased reliability through standby redundancy, IEEE Trans. Reliab. 38 (1989) 430–435.
W.J. Stewart, Introduction to the Numerical Solution of Markov Chains, Princeton University Press, Princeton, NJ, 1994.
|Depositado:||12 Jun 2012 08:27|
|Última Modificación:||08 Mar 2016 16:07|
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