［1］ Levitin G. The universal generating function in reliability a
nalysis and optimization［M］. London: Springer, 2005.
［2］ Lisnianski A, Levitin G. Multi-state system reliability: Assessment,
optimization and applications［M］. Singapore: World Scientific, 2003.
［3］ Huang J S, Zuo M J. Dominant multi-state systems［J］. IEEE Transactions
on Reliability, 2004, 53(3): 362-368.
［4］ Barton R M, Damon W W. Reliability in a multi-state system［C］∥Proceed
ings of the Sixth Annual Southeastern Symposium on Systems Theory. Louisiana: 19
74.
［5］ Barlow R E, Wu A S. Coherent systems with multi-state components［J］. M
athematics of Operations Research, 1978, 3: 275-281.
［6］ Massim Y, Zeblah A, Meziane R, et al. Optimal design and reliability eval
uation of multi-state series-parallel power systems［J］. Nonlinear Dynamics,
2005, 40: 309-321.
［7］ Taboada H A, Espiritu J F, Coit D W. Design allocation of multistate seri
es-parallel systems for power systems planning: a multiple objective evolutiona
ry approach［J］. Journal of Risk and Reliability, 2008, 222(3): 381-391.
［8］ Yeh W C. A simple universal generating function method for estimating the
reliability of general multi-state node networks［J］. IIE Transactions, 2009,
41: 3-11.
［9］ Jane C C, Laih Y W. A practical algorithm for computing multi-state two
-terminal reliability［J］. IEEE Transactions on Reliability, 2008, 57(2): 295-
302.
［10］ Krzysztof K, Joanna S. On multi-state safety analysis in sh
ipping［J］. International Journal of Reliability, Quality and Safety Engineerin
g, 2007, 14(6): 547-567.
［11］ Kolowrocki K, Kwiatuszewska-sarnecka B. Reliability and risk analys
is of large systems with ageing components［J］. Reliability Engineering and Sys
tem Safety, 2008, 93: 1821-1829.
［12］ 宋月, 刘三阳, 冯海林. 相邻k-out-of-n :F 多状态可修系统的可靠性
分析［J］. 系统工程与电子技术, 2006, 28(2): 310-316.
SONG Yue, LIU San-yang, FENG Hai-lin. Reliability analysis of consecutive k-o
ut-of-n :F repairable systems with multi-state component［J］. Systems Engine
ering and Electronics, 2006, 28(2): 310-316. (in Chinese)
［13］ 武月琴, 周泓, 官建成. 一类多状态系统的可靠性计算［J］. 北京航空航
天大学学报, 2007, 33(8): 968-971.
WU Yue-qin, ZHOU Hong, GUAN Jian-cheng. Reliability estimation of a multi-sta
te system［J］. Journal of Beijing University of Aeronautics and astronautics，
2007, 33(8): 968-971. (in Chinese)
［14］ 原菊梅, 侯朝桢, 高琳, 等. 粗糙Petri网及其在多状态系统可靠性估计中
的应用［J］. 兵工学报, 2007, 28(11): 1373-1376.
YUAN Ju-mei, HOU Chao-zhen, GAO Lin, et al. Rough Petri net and its applicatio
n in multi-state system reliability estimate［J］. Acta Armamentarii, 2007, 28(
11): 1373-1376. (in Chinese)
［15］ 周金宇，谢里阳，王学敏. 多状态系统共因失效分析及可靠性模型［J］.
机械工程学报, 2005, 41(6): 66-70.
ZHOU Jin-yu, XIE Li-yang, WANG Xue-min. Analysis for common cause failure an
d reliability model in multi-state systems［J］. Chinese Journal of Mechanical
Engineering, 2005, 41(6): 66-70. (in Chinese)
［16］ Li Chun-yang, Chen Xun, Yi Xiao-shan. Redundancy optimization for
multi-state system in the presence of common cause failures［C］∥The 2008 Inte
rnational Conference on Risk and Reliability Management. Beijing: 2008: 632-636.
［17］ Li Chun-yang, Chen Xun, Yi Xiao-shan, et al. Heterogeneous red
undancy optimization for multi-state series-parallel systems subject to common
cause failures［J］. Reliability Engineering and System Safety, 2010, 95(3): 20
2-207.
［18］ Zaitseva E, Levashenko V. Investigation multi-state system reliability
by structure function［C］∥Proceedings of the 2nd International Conference on D
ependability of Computer Systems. Poland, 2007: 81-90.
［19］ Ramirez-marquez J E, Coit D W. A Monte-Carlo simulation approach for a
pproximating multi-state two-terminal reliability［J］. Reliability Engineerin
g and System Safety, 2005, 87:253-264.
［20］ Zio E, Marella M, Podofillini L. A Monte Carlo simulation approach to th
e availability assessment of multi-state systems with operational dependencies
［J］. Reliability Engineering and System Safety, 2007, 92: 871-882.
［21］ Taboada H A, Espiritu J F, Coit D W. MOMS-GA: a multi-objective multi
-state genetic algorithm for system reliability optimization design problems［J
］. IEEE Transactions on Reliability, 2008, 57(1): 182-191.
［22］ Ushakov I. Universal generating function［J］. Soviet Journal of Comput
er and Systems Sciences, 1986, 24(5): 118-129.
［23］ Ushakov I. Optimal standby problems and a universal generating function
［J］. Soviet Journal of Computer and Systems Sciences, 1987, 25(4): 79-82.
［24］ Levitin G. A universal generating function approach for the analysis of
multi-state systems with dependent elements［J］. Reliability Engineering and S
ystem Safety, 2004, 84(3): 285-292.
［25］ Ouzineb M, Nourelfath M, Gendreau M. Tabu search for the redundancy allo
cation problem of homogenous series-parallel multi-state systems［J］. Reliabi
lity Engineering and System Safety, 2008, 93(8): 1257-1272.
［26］ Tian Z G, Levitin G, Zuo M J. A joint reliability redundancy optimizatio
n approach for multi-state series–parallel systems［J］. Reliability Engineeri
ng and System Safety, 2009.
［27］ An Z W, Huang H Z, Liu Y. A discrete stress-strength interference model
based on universal generating function［J］. Reliability Engineering and System
Safety, 2008, 93(10): 1485-1490.
［28］ An Z W, Huang H Z, Lin D. An approach to reliability evaluation of multi
ple V-belt drives considering the deviation of belt length［J］. Journal of Ris
k and Reliability, 2009, 223(2): 159-166.
［29］ Wang P, Coit D W. Reliability prediction based on degradation modeling f
or systems with multiple degradation measures［C］∥Proceedings Annual Reliabili
ty and Maintainability Symposium. Los Angeles, 2004: 302-307. |
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