×

zbMATH — the first resource for mathematics

Fuzzy modeling of system behavior for risk and reliability analysis. (English) Zbl 1283.93192
Summary: The main objective of the article is to permit the reliability analyst’s/engineers/managers/practitioners to analyze the failure behavior of a system in a more consistent and logical manner. To this effect, the authors propose a methodological and structured framework, which makes use of both qualitative and quantitative techniques for risk and reliability analysis of the system. The framework has been applied to model and analyze a complex industrial system from a paper mill. In the quantitative framework, after developing the Petrinet model of the system, the fuzzy synthesis of failure and repair data (using fuzzy arithmetic operations) has been done. Various system parameters of managerial importance such as repair time, failure rate, mean time between failures, availability, and expected number of failures are computed to quantify the behavior in terms of fuzzy, crisp and defuzzified values. Further, to improve upon the reliability and maintainability characteristics of the system, in depth qualitative analysis of systems is carried out using failure mode and effect analysis (FMEA) by listing out all possible failure modes, their causes and effect on system performance. To address the limitations of traditional FMEA method based on risky priority number score, a risk ranking approach based on fuzzy and Grey relational analysis is proposed to prioritize failure causes.

MSC:
93C65 Discrete event control/observation systems
93A30 Mathematical modelling of systems (MSC2010)
90B25 Reliability, availability, maintenance, inspection in operations research
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] DOI: 10.1016/S0951-8320(02)00013-3
[2] DOI: 10.1002/qre.545
[3] DOI: 10.1016/S0378-7796(03)00112-3
[4] DOI: 10.1016/j.rcim.2006.02.001
[5] DOI: 10.1016/j.jlp.2003.08.006
[6] DOI: 10.1016/S0951-8320(02)00161-8
[7] DOI: 10.1016/j.epsr.2003.08.011
[8] DOI: 10.1016/j.compstruc.2004.03.011
[9] DOI: 10.1109/5.364489
[10] DOI: 10.1016/0165-0114(95)00385-1
[11] DOI: 10.1108/03684929910300295
[12] DOI: 10.1016/0165-0114(85)90050-8 · Zbl 0618.90047
[13] DOI: 10.1016/j.wear.2005.02.085
[14] DOI: 10.1016/0951-8320(92)90130-D
[15] Connor PDT, Practical Reliability Engineering (2001)
[16] Coutinho JS, Trans. N.Y. Acad. Sci. 26 pp 564– (1964)
[17] Deng J, J. Invest. Reform. 3 pp 21– (1986)
[18] Ebeling C, An Introduction to Reliability and Maintainability Engineering (2001)
[19] DOI: 10.1080/002075400188438 · Zbl 0944.90558
[20] DOI: 10.1016/S0165-0114(00)00051-8 · Zbl 0979.68615
[21] DOI: 10.1016/j.asoc.2005.06.002 · Zbl 05391532
[22] DOI: 10.1016/j.jlp.2004.06.004
[23] DOI: 10.1016/S0196-8904(02)00248-0
[24] International Electrotechnical commission (1990)
[25] DOI: 10.1016/S0951-8320(01)00017-5
[26] Kokso B, Fuzzy Engineering (1999)
[27] DOI: 10.1016/j.ress.2005.06.002
[28] DOI: 10.1016/0951-8320(93)90029-X
[29] DOI: 10.1016/0026-2714(91)90345-8
[30] DOI: 10.1108/02656710210413471
[31] DOI: 10.1016/j.ijmachtools.2004.11.023
[32] DOI: 10.1016/S0040-1625(01)00191-3
[33] DOI: 10.1016/S0951-8320(97)00030-6
[34] Liu SF, An Introduction to Grey Systems: Foundations, Methodology and Applications (1998)
[35] DOI: 10.1002/qre.668
[36] Modarres M, Reliability Engineering and Risk Analysis (1999)
[37] DOI: 10.1108/02644400410511855 · Zbl 1089.68642
[38] DOI: 10.1108/14637150510591129
[39] Peterson JL, Petri Net Theory and the Modeling of Systems (1981)
[40] DOI: 10.1016/S0166-5316(01)00034-7 · Zbl 1014.68018
[41] Ross TJ, Fuzzy Logic with Engineering Applications (1999)
[42] DOI: 10.1016/S0045-7949(02)00068-8
[43] DOI: 10.1016/j.ress.2005.03.007
[44] DOI: 10.1016/S0951-8320(02)00010-8
[45] DOI: 10.1016/S0951-8320(01)00023-0
[46] Singh C, Engineering Reliability: New Techniques and Applications (1991)
[47] DOI: 10.1016/S0951-8320(97)00159-2
[48] DOI: 10.1108/02656710510625248
[49] DOI: 10.1108/02635570610649899
[50] DOI: 10.1504/IJISE.2007.013187
[51] DOI: 10.1080/00207540600774067 · Zbl 1128.90438
[52] DOI: 10.1108/02644400710748670 · Zbl 1198.74103
[53] Smith DJ, Reliability and Maintainability Risk (2002)
[54] DOI: 10.1016/S0925-7535(01)00078-9
[55] DOI: 10.1016/S0378-7796(03)00047-6
[56] DOI: 10.1016/j.jss.2005.09.004 · Zbl 05433992
[57] DOI: 10.1016/S0924-0136(02)00677-5
[58] Wu KW, Information of Grey Relation (1996)
[59] DOI: 10.1016/S0951-8320(01)00101-6
[60] DOI: 10.1016/S0951-8320(02)00268-5
[61] DOI: 10.1016/S0926-5805(03)00056-6
[62] DOI: 10.1016/j.dss.2005.05.021
[63] DOI: 10.1016/0020-0255(75)90046-8 · Zbl 0404.68074
[64] DOI: 10.1016/S0301-679X(03)00056-2
[65] Zimmermann H, Fuzzy Set Theory and its Applications (2000)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.