Reliability-based measures for a system with an uncertain parameter environment

International Journal of Systems Science

Volumn 43, Issue 6, 2012, Pages 1146-1156

  Lin, Chuen Horng ^a   Ke, Jau Chuan ^a   Huang, Hsin I ^a  

^a NATIONAL TAICHUNG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Taiwan)

Author keywords

Availability; Mean time to failure; Membership functions; Uncertain parameters; Unreliable service station

Indexed keywords

CRISP INTERVAL; EXPONENTIAL DISTRIBUTIONS; FUZZY ENVIRONMENTS; MEAN TIME TO FAILURE; NONLINEAR PROGRAMS; NUMERICAL EXAMPLE; PARAMETER SPACES; REPAIRABLE SYSTEMS; SYSTEM CHARACTERISTICS; UNCERTAIN PARAMETERS; UNRELIABLE SERVICE STATION;

AVAILABILITY; FILLING STATIONS; MEMBERSHIP FUNCTIONS;

CHAOTIC SYSTEMS;

EID: 84859359113     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2010.545489     Document Type: Article

References (38)

1. Aven, T., and Nøkland, T.E. (2010), 'On the Use of Uncertainty Importance Measures in Reliability and Risk Analysis', Reliability Engineering and System Safety, 95, 127-133.
2. Cai, K.Y. (1996), 'System Failure Engineering and Fuzzy Methodology: An Introductory Overview', Fuzzy Sets and Systems, 83, 113-133.
3. Ding, Y., and Lisnianski, A. (2008), 'Fuzzy Universal Generating Functions for Multi-state System Reliability Assessment', Fuzzy Sets and Systems, 159, 307-324. (Pubitemid 350086689)
4. Ding, Y., Zuo, M.J., Lisnianski, A., and Tian, Z. (2008), 'Fuzzy Multi-state Systems: General Definitions, and Performance Assessment', IEEE Transactions on Reliability, 57, 589-594.
5. Ebden, M., Stranjak, A., and Roberts, S. (2010), 'Visualizing Uncertainty in Reliability Functions with Application to Aero Engine Overhaul', Journal of the Royal Statistical Society Series C-Applied Statistics, 59, 163-173.
6. Gal, T. (1979), Postoptimal Analysis, Parametric Programming, and Related Topics, New York: McGraw-Hill.
7. Gupta, S., and Bhattacharya, J. (1999), 'Discrete Markov Chains-An Analytical Tool for Productivity Analysis of Surface Mining Systems', International Journal of Surface Mining, Reclamation and Environment, 13, 111-116. (Pubitemid 30054569)
8. Gupta, S., and Bhattacharya, J. (2007), 'Reliability Analysis of a Conveyor System Using Hybrid Data', Quality and Reliability Engineering International, 23, 867-882. (Pubitemid 350072700)
9. Holloway, C.A. (1979), Decision Making Under Uncertainly: Models and Choices, Englewood Cliffs, NJ: Prentice-Hall.
10. Huang, H.Z., Qu, J., and Zuo, M.J. (2009), 'Geneticalgorithm-based Optimal Apportionment of Reliability and Redundancy Under Multiple Objectives', IIE Transactions, 41, 287-298.
11. Jiang, Q., and Chen, C.H. (2003), 'A Numerical Algorithm of Fuzzy Reliability', Reliability Engineering and System Safety, 80, 299-307.
12. Kaufmann, A. (1975), Introduction to the Theory of Fuzzy Subsets (Vol. 1), New York: Academic Press.
13. Ke, J.-B., Lee, W.-C., and Ke, J.-C. (2008), 'Reliability-based Measure for a System with Standbys Subject to Switching Failures', Engineering Computations, 25, 694-706.
14. Ke, J.-C., Su, Z.-L., Wang, K.-H., and Hsu, Y.-L. (2010), 'Simulation Inferences for an Availability System with General Repair Distribution and Imperfect Fault Coverage', Simulation Modelling Practice and Theory, 18, 338-347.
15. Kumar, A., Yadav, S.P., and Kumar, S. (2006), 'Fuzzy Reliability of a Marine Power Plant Using Interval Valued Vague Sets', International Journal of Applied Science and Engineering, 4, 71-82.
16. Lee, S.-L., Ke, J.-C., and Hsu, Y.-L. (2009), 'Bayesian Assessing for a Repairable System with Standby Imperfect Switching and Reboot Delay', International Journal of Systems Science, 40, 1149-1159.
17. Lisnianski, A., and Ding, Y. (2009), 'Redundancy Analysis for Repairable Multi-state System by Using Combined Stochastic Processes Methods and Universal Generating Function Technique', Reliability Engineering and System Safety, 94, 1788-1795.
18. Liu, Y., and Huang, H.Z. (2010), 'Reliability Assessment for Fuzzy Multi-state Systems', International Journal of Systems Science, 41, 365-379.
19. Liu, Y., Li, Y.F., Huang, H.Z., Zuo, M.J., and Sun, Z.Q. (2010), 'Optimal Preventive Maintenance Policy Under Fuzzy Bayesian Reliability Assessment Environments', IIE Transactions, 42, 734-745.
20. Nachtmann, H., and Chimka, J.R. (2003), 'Fuzzy Reliability in Conceptual Design', in 2003 Proceedings Annual Reliability and Maintainability Symposium, pp. 360-364.
21. Ni, Z., and Qiu, Z.P. (2010), 'Hybrid Probabilistic Fuzzy and Non-probabilistic Model of Structural Reliability', Computers and Industrial Engineering, 58, 463-467.
22. Podofillini, L., Dang, V., Zio, E., Baraldi, P., and Librizzi, M. (2010), 'Using Expert Models in Human Reliability Analysis-A Dependence Assessment Method Based on Fuzzy Logic', Risk Analysis, 30, 1277-1297.
23. Prade, H.M. (1980), 'An Outline of Fuzzy or Possibilistic Models for Queueing Systems', in Fuzzy Sets, eds. P.P. Wang and S.K. Chang, New York: Plenum Press.
24. Seo, J.H., Jang, J.S., and Bai, D.S. (2003), 'Lifetime and Reliability Estimation of Repairable Redundant System Subject to Periodic Alternation', Reliability Engineering and System Safety, 80, 197-204.
25. Trivedi, K.S. (2002), Probability and Statistics with Reliability, Queueing and Computer Science Applications (2nd ed.), New York: John Wiley and Sons.
26. Uzsoy, R., Lee, C.-Y., and Martin-Vega, L.A. (1992), 'A Review of Production Planning and Scheduling Models in the Semiconductor Industry (I): System Characteristics, Performance Evaluation and Production Planning', IIE Transactions, 24, 47-60.
27. Uzsoy, R., Lee, C.-Y., and Martin-Vega, L.A. (1994), 'A review of Production Planning and Scheduling Models in the Semiconductor Industry (II): Shop-floor Control', IIE Transactions, 26, 44-55.
28. Viertl, R. (2009), 'On Reliability Estimation Based on Fuzzy Lifetime Data', Journal of Statistical Planning and Inference, 139, 1750-1755.
29. Wang, K.-H., and Chen, Y.-J. (2009), 'Comparative Analysis of Availability between Three System with General Repair Times, Reboot Delay and Switching Failures', Applied Mathematics and Computation, 215, 384-394.
30. Wang, L., Chu, J., and Mao, W.J. (2009), 'A Conditionbased Replacement and Spare Provisioning Policy for Deteriorating Systems with Uncertain Deterioration to Failure', European Journal of Operational Research, 194, 184-205.
31. Wang, K.-H., Ke, J.-B., and Lee, W.-C. (2007), 'Reliability and Sensitivity Analysis of a Repairable System with Warm Standbys and R Unreliable Service Stations', International Journal of Advanced Manufacturing Technology, 31, 11-12, 1223-1232.
32. Wu, H.C. (1997), 'Fuzzy Reliability Analysis Based on Closed Fuzzy Numbers', Information Sciences, 103, 35-159.
33. Wu, H.-C. (2004), 'Fuzzy Reliability Estimation Using Bayesian Approach', Computers and Industrial Engineering, 46, 467-493.
34. Yadavalli, V.S.S., Bekker, A., and Pauw, J. (2005), 'Bayesian Study of a Two-component System with Common-cause Shock Failures', Asia-Pacific Journal of Operational Research, 22, 105-119. (Pubitemid 40479476)
35. Yadavalli, V.S.S., Botha, M., and Bekker, A. (2002), 'Asymptotic Confidence Limits for the Steady-state Availability of a Two-unit Parallel System with Preparation Time for the Repair Facility', Asia-Pacific Journal of Operational Research, 19, 249-256.
36. Zadeh, L.A. (1978), 'Fuzzy Sets as a Basis for a Theory of Possibility', Fuzzy Sets and Systems, 1, 3-28.
37. Zimmermann, H.J. (2001), Fuzzy Set Theory and its Applications (4th ed.), Boston: Kluwer Academic.
38. Zio, E., and Di Maio, F. (2010), 'A Data-driven Fuzzy Approach for Predicting the Remaining Useful Life in Dynamic Failure Scenarios of a Nuclear System', Reliability Engineering and System Safety, 95, 49-57.