메뉴 건너뛰기




Volumn 40, Issue 3, 2015, Pages 975-987

An Approach for Analyzing the Reliability of Industrial System Using Fuzzy Kolmogorov’s Differential Equations

Author keywords

Fuzzy Kolmogorov s differential equations; Fuzzy numbers; Markov model; Reliability; Runge Kutta method

Indexed keywords


EID: 84922776828     PISSN: 2193567X     EISSN: 21914281     Source Type: Journal    
DOI: 10.1007/s13369-015-1584-2     Document Type: Article
Times cited : (43)

References (38)
  • 1
    • 2942701968 scopus 로고    scopus 로고
    • System failure analysis through counters of Petri net models
    • Adamyan A., David H.: System failure analysis through counters of Petri net models. Qual. Reliab. Eng. Int. 20(4), 317–335 (2004)
    • (2004) Qual. Reliab. Eng. Int , vol.20 , Issue.4 , pp. 317-335
    • Adamyan, A.1    David, H.2
  • 2
    • 0027838232 scopus 로고
    • Petri net modeling and reliability evaluation of distributed processing systems
    • Kumar P., Aggarwal K.K.: Petri net modeling and reliability evaluation of distributed processing systems. Reliab. Eng. System Safety 41(2), 167–176 (1993)
    • (1993) Reliab. Eng. System Safety , vol.41 , Issue.2 , pp. 167-176
    • Kumar, P.1    Aggarwal, K.K.2
  • 3
    • 84866353390 scopus 로고    scopus 로고
    • Stochastic behavior analysis of industrial systems utilizing uncertain data
    • Garg H., Sharma S.P.: Stochastic behavior analysis of industrial systems utilizing uncertain data. ISA Trans. 51(6), 752–762 (2012)
    • (2012) ISA Trans , vol.51 , Issue.6 , pp. 752-762
    • Garg, H.1    Sharma, S.P.2
  • 4
    • 0008572190 scopus 로고    scopus 로고
    • Reliability of systems subject to common-cause hazards assumed to obey an exponential power model
    • El-Damcese M.A.: Reliability of systems subject to common-cause hazards assumed to obey an exponential power model. Nucl. Eng. Design 167(1), 85–90 (1996)
    • (1996) Nucl. Eng. Design , vol.167 , Issue.1 , pp. 85-90
    • El-Damcese, M.A.1
  • 6
    • 0344272469 scopus 로고    scopus 로고
    • Fast Markovian method for dynamic safety analysis of process plants
    • Aneziris O.N., Papazoglou I.A.: Fast Markovian method for dynamic safety analysis of process plants. J. Loss Prev. Process Ind. 17(1), 1–8 (2004)
    • (2004) J. Loss Prev. Process Ind , vol.17 , Issue.1 , pp. 1-8
    • Aneziris, O.N.1    Papazoglou, I.A.2
  • 7
    • 84873042789 scopus 로고    scopus 로고
    • Semi-Markov modeling approach for deteriorating systems with preventive maintenance
    • Vinayak R., Dharmaraja S.: Semi-Markov modeling approach for deteriorating systems with preventive maintenance. Int. J. Perform. Eng. 8, 515–526 (2012)
    • (2012) Int. J. Perform. Eng , vol.8 , pp. 515-526
    • Vinayak, R.1    Dharmaraja, S.2
  • 8
    • 0036837919 scopus 로고    scopus 로고
    • Implementing the Bayesian paradigm in risk analysis
    • Aven T., Kvalϕy J.T.: Implementing the Bayesian paradigm in risk analysis. Reliab. Eng. System Safety 78(2), 195–201 (2002)
    • (2002) Reliab. Eng. System Safety , vol.78 , Issue.2 , pp. 195-201
    • Aven, T.1    Kvalϕy, J.T.2
  • 9
    • 2342624094 scopus 로고    scopus 로고
    • Fuzzy reliability estimation using Bayesian approach
    • Wu H.C.: Fuzzy reliability estimation using Bayesian approach. Comput. Ind. Eng. 46(3), 467–493 (2004)
    • (2004) Comput. Ind. Eng , vol.46 , Issue.3 , pp. 467-493
    • Wu, H.C.1
  • 10
    • 33646264071 scopus 로고    scopus 로고
    • Bayesian reliability analysis for fuzzy lifetime data
    • Huang H.Z., Zuo M.J., Sun Z.Q.: Bayesian reliability analysis for fuzzy lifetime data. Fuzzy Sets Systems 157(12), 1674–1686 (2006)
    • (2006) Fuzzy Sets Systems , vol.157 , Issue.12 , pp. 1674-1686
    • Huang, H.Z.1    Zuo, M.J.2    Sun, Z.Q.3
  • 11
    • 84922788186 scopus 로고    scopus 로고
    • Reliability for consecutive-k-out-of-n:f systems subject to Markov-dependent components
    • El-Damcese M.A.: Reliability for consecutive-k-out-of-n:f systems subject to Markov-dependent components. Int. J. Appl. Math. 17(2), 137–142 (2005)
    • (2005) Int. J. Appl. Math , vol.17 , Issue.2 , pp. 137-142
    • El-Damcese, M.A.1
  • 12
  • 13
    • 84881175274 scopus 로고    scopus 로고
    • An efficient two phase approach for solving reliability–redundancy allocation problem using artificial bee colony technique
    • Garg H., Rani M., Sharma S.P.: An efficient two phase approach for solving reliability–redundancy allocation problem using artificial bee colony technique. Comput. Oper. Res. 40(12), 2961–2969 (2013)
    • (2013) Comput. Oper. Res , vol.40 , Issue.12 , pp. 2961-2969
    • Garg, H.1    Rani, M.2    Sharma, S.P.3
  • 15
    • 0000042191 scopus 로고    scopus 로고
    • System failure engineering and fuzzy methodology: an introductory overview
    • Cai K.Y.: System failure engineering and fuzzy methodology: an introductory overview. Fuzzy Sets Systems 83, 113–133 (1996)
    • (1996) Fuzzy Sets Systems , vol.83 , pp. 113-133
    • Cai, K.Y.1
  • 16
    • 84892701863 scopus 로고    scopus 로고
    • A fuzzy reliability model for series–parallel systems
    • Donighi S.S., Khanmohammadi S.: A fuzzy reliability model for series–parallel systems. J. Ind. Eng. Int. 7(12), 10–18 (2011)
    • (2011) J. Ind. Eng. Int , vol.7 , Issue.12 , pp. 10-18
    • Donighi, S.S.1    Khanmohammadi, S.2
  • 17
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
    • (1965) Inf. Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 18
    • 0023573517 scopus 로고
    • Fuzzy differential equations
    • Kaleva O.: Fuzzy differential equations. Fuzzy Sets Systems 24(3), 301–317 (1987)
    • (1987) Fuzzy Sets Systems , vol.24 , Issue.3 , pp. 301-317
    • Kaleva, O.1
  • 19
    • 0023581045 scopus 로고
    • On the fuzzy intial value problem
    • Seikala S.: On the fuzzy intial value problem. Fuzzy Sets Systems 24, 319–330 (1987)
    • (1987) Fuzzy Sets Systems , vol.24 , pp. 319-330
    • Seikala, S.1
  • 20
    • 85000083726 scopus 로고    scopus 로고
    • Numerical solutions of fuzzy differential equations by taylor method
    • Abbasbandy S., Allahviranloo T.: Numerical solutions of fuzzy differential equations by taylor method. J. Comput. Methods Appl. Math. 2, 113–124 (2002)
    • (2002) J. Comput. Methods Appl. Math , vol.2 , pp. 113-124
    • Abbasbandy, S.1    Allahviranloo, T.2
  • 21
    • 0038739530 scopus 로고    scopus 로고
    • Introduction to fuzzy partial differential equations
    • Buckley J.J., Feuring T.: Introduction to fuzzy partial differential equations. Fuzzy Sets Systems 105, 241–248 (1999)
    • (1999) Fuzzy Sets Systems , vol.105 , pp. 241-248
    • Buckley, J.J.1    Feuring, T.2
  • 23
    • 0000382276 scopus 로고    scopus 로고
    • Numerical solutions of fuzzy differential equations
    • Ma M., Friedman M., Kandel A.: Numerical solutions of fuzzy differential equations. Fuzzy Sets Systems 105, 133–138 (1999)
    • (1999) Fuzzy Sets Systems , vol.105 , pp. 133-138
    • Ma, M.1    Friedman, M.2    Kandel, A.3
  • 24
    • 58349097540 scopus 로고    scopus 로고
    • Solving fuzzy differential equatios by differential transformation method
    • Allahviranloo T., Kiani N.A., Motamedi N.: Solving fuzzy differential equatios by differential transformation method. Inform. Sci. 179(7), 956–966 (2009)
    • (2009) Inform. Sci , vol.179 , Issue.7 , pp. 956-966
    • Allahviranloo, T.1    Kiani, N.A.2    Motamedi, N.3
  • 26
    • 84922832219 scopus 로고    scopus 로고
    • Reliability evaluation of condensate system using fuzzy Markov model
    • Kumar A., Lata S.: Reliability evaluation of condensate system using fuzzy Markov model. Annals Fuzzy Math. Inf. 4(2), 281–291 (2012)
    • (2012) Annals Fuzzy Math. Inf , vol.4 , Issue.2 , pp. 281-291
    • Kumar, A.1    Lata, S.2
  • 27
    • 84909994476 scopus 로고    scopus 로고
    • Reliability analysis of arch dam subjected to seismic loads
    • Chen H., Xu W., Wu Q., Liu Z., Wang S.: Reliability analysis of arch dam subjected to seismic loads. Arab. J. Sci. Eng. 39(11), 7609–7619 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.11 , pp. 7609-7619
    • Chen, H.1    Xu, W.2    Wu, Q.3    Liu, Z.4    Wang, S.5
  • 28
    • 84907692498 scopus 로고    scopus 로고
    • A novel dynamic reliability optimized resource scheduling algorithm for grid computing system
    • Abudhagir U.S., Shanmugavel S.: A novel dynamic reliability optimized resource scheduling algorithm for grid computing system. Arab. J. Sci. Eng. 39(10), 7087–7096 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.10 , pp. 7087-7096
    • Abudhagir, U.S.1    Shanmugavel, S.2
  • 29
    • 84859174808 scopus 로고    scopus 로고
    • Reliability of using 3-D woven polypropylene fiber in strengthening of a large-scale RC structure subjected to seismic loads
    • Abdo M.A.B., Hori M.: Reliability of using 3-D woven polypropylene fiber in strengthening of a large-scale RC structure subjected to seismic loads. Arab. J. Sci. Eng. 37(3), 505–520 (2012)
    • (2012) Arab. J. Sci. Eng , vol.37 , Issue.3 , pp. 505-520
    • Abdo, M.A.B.1    Hori, M.2
  • 30
    • 84910002771 scopus 로고    scopus 로고
    • Reliability-based replacement of polyethylene gas pipeline networks
    • Khelif R., Chateauneuf A.: Reliability-based replacement of polyethylene gas pipeline networks. Arab. J. Sci. Eng. 39(11), 8175–8185 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.11 , pp. 8175-8185
    • Khelif, R.1    Chateauneuf, A.2
  • 31
    • 84900032999 scopus 로고    scopus 로고
    • A comparative analysis of three unit redundant systems with three types of failures
    • Yusuf I., Hussaini N.: A comparative analysis of three unit redundant systems with three types of failures. Arab. J. Sci. Eng. 39(4), 3337–3349 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.4 , pp. 3337-3349
    • Yusuf, I.1    Hussaini, N.2
  • 32
    • 84909999006 scopus 로고    scopus 로고
    • Performance of a structure consisting a 2-out-of-3: F substructure under human failure
    • Ram M., Kumar A.: Performance of a structure consisting a 2-out-of-3: F substructure under human failure. Arab. J. Sci. Eng. 39(11), 8383–8394 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.11 , pp. 8383-8394
    • Ram, M.1    Kumar, A.2
  • 33
    • 84916640318 scopus 로고    scopus 로고
    • Nuclear product design knowledge system based on FMEA method in new product development
    • Wu Z., Ming X.G., Song W., Zhu B., Xu Z.: Nuclear product design knowledge system based on FMEA method in new product development. Arab. J. Sci. Eng. 39(3), 2191–2203 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.3 , pp. 2191-2203
    • Wu, Z.1    Ming, X.G.2    Song, W.3    Zhu, B.4    Xu, Z.5
  • 34
    • 84893112218 scopus 로고    scopus 로고
    • Fuzzy analytical hierarchy process disposal method selection for an industrial state; case study charmshahr
    • Vahidi H., Ghazban F., Abdoli M.A., Kazemi V.D., Banaei S.M.A.: Fuzzy analytical hierarchy process disposal method selection for an industrial state; case study charmshahr. Arab. J. Sci. Eng. 39(2), 725–735 (2014)
    • (2014) Arab. J. Sci. Eng , vol.39 , Issue.2 , pp. 725-735
    • Vahidi, H.1    Ghazban, F.2    Abdoli, M.A.3    Kazemi, V.D.4    Banaei, S.M.A.5
  • 36
    • 84899795368 scopus 로고    scopus 로고
    • A new fuzzy assessment based on interval value to evaluate the aggregative risk rate in software development
    • Lee H.M., Lin L., Su J.S.: A new fuzzy assessment based on interval value to evaluate the aggregative risk rate in software development. Int. J. Innov. Comput. Inform. Control 10(4), 1305–1312 (2014)
    • (2014) Int. J. Innov. Comput. Inform. Control , vol.10 , Issue.4 , pp. 1305-1312
    • Lee, H.M.1    Lin, L.2    Su, J.S.3
  • 37
    • 84875123872 scopus 로고    scopus 로고
    • Sensor random with random link failures; distributed filtering for T–S fuzzy systems
    • Su X., Wu L., Shi P.: Sensor random with random link failures; distributed filtering for T–S fuzzy systems. IEEE Trans. Ind. Inform. 9(3), 1739–1750 (2013)
    • (2013) IEEE Trans. Ind. Inform , vol.9 , Issue.3 , pp. 1739-1750
    • Su, X.1    Wu, L.2    Shi, P.3
  • 38
    • 84885958689 scopus 로고    scopus 로고
    • An approach for analyzing the reliability of industrial systems using soft computing based technique
    • Garg H., Rani M., Sharma S.P.: An approach for analyzing the reliability of industrial systems using soft computing based technique. Expert Systems Appl. 41(2), 489–501 (2014)
    • (2014) Expert Systems Appl , vol.41 , Issue.2 , pp. 489-501
    • Garg, H.1    Rani, M.2    Sharma, S.P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.