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

References

• Aven , T and Nøkland , TE . 2010 . On the Use of Uncertainty Importance Measures in Reliability and Risk Analysis . Reliability Engineering and System Safety , 95 : 127 – 133 .
   Web of Science ®Google Scholar
• Cai , KY . 1996 . System Failure Engineering and Fuzzy Methodology: An Introductory Overview . Fuzzy Sets and Systems , 83 : 113 – 133 .
   Web of Science ®Google Scholar
• Ding , Y and Lisnianski , A . 2008 . Fuzzy Universal Generating Functions for Multi-state System Reliability Assessment . Fuzzy Sets and Systems , 159 : 307 – 324 .
   Web of Science ®Google Scholar
• Ding , Y , Zuo , MJ , Lisnianski , A and Tian , Z . 2008 . Fuzzy Multi-state Systems: General Definitions, and Performance Assessment . IEEE Transactions on Reliability , 57 : 589 – 594 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Gal, T. (1979), Postoptimal Analysis, Parametric Programming, and Related Topics, New York: McGraw-Hill.
   Google Scholar
• 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 .
   Google Scholar
• Gupta , S and Bhattacharya , J . 2007 . Reliability Analysis of a Conveyor System Using Hybrid Data . Quality and Reliability Engineering International , 23 : 867 – 882 .
   Web of Science ®Google Scholar
• Holloway , CA . 1979 . Decision Making Under Uncertainly: Models and Choices , Englewood Cliffs , NJ : Prentice-Hall .
   Google Scholar
• Huang , HZ , Qu , J and Zuo , MJ . 2009 . Genetic-algorithm-based Optimal Apportionment of Reliability and Redundancy Under Multiple Objectives . IIE Transactions , 41 : 287 – 298 .
   Web of Science ®Google Scholar
• Jiang , Q and Chen , CH . 2003 . A Numerical Algorithm of Fuzzy Reliability . Reliability Engineering and System Safety , 80 : 299 – 307 .
   Web of Science ®Google Scholar
• Kaufmann, A. (1975), Introduction to the Theory of Fuzzy Subsets (Vol. 1), New York: Academic Press.
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Kumar , A , Yadav , SP 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 .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Liu , Y and Huang , HZ . 2010 . Reliability Assessment for Fuzzy Multi-state Systems . International Journal of Systems Science , 41 : 365 – 379 .
   Web of Science ®Google Scholar
• Liu , Y , Li , YF , Huang , HZ , Zuo , MJ and Sun , ZQ . 2010 . Optimal Preventive Maintenance Policy Under Fuzzy Bayesian Reliability Assessment Environments . IIE Transactions , 42 : 734 – 745 .
   Web of Science ®Google Scholar
• Nachtmann, H., and Chimka, J.R. (2003), ‘Fuzzy Reliability in Conceptual Design’, in 2003 Proceedings Annual Reliability and Maintainability Symposium, pp. 360–364.
   Google Scholar
• Ni , Z and Qiu , ZP . 2010 . Hybrid Probabilistic Fuzzy and Non-probabilistic Model of Structural Reliability . Computers and Industrial Engineering , 58 : 463 – 467 .
   Web of Science ®Google Scholar
• 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 .
   PubMed Web of Science ®Google Scholar
• Prade , HM . 1980 . “ An Outline of Fuzzy or Possibilistic Models for Queueing Systems ” . In Fuzzy Sets , Edited by: Wang , PP and Chang , SK . New York : Plenum Press .
   Google Scholar
• Seo , JH , Jang , JS and Bai , DS . 2003 . Lifetime and Reliability Estimation of Repairable Redundant System Subject to Periodic Alternation . Reliability Engineering and System Safety , 80 : 197 – 204 .
   Web of Science ®Google Scholar
• Trivedi , KS . 2002 . Probability and Statistics with Reliability, Queueing and Computer Science Applications, , 2nd , New York : John Wiley and Sons .
   Google Scholar
• Uzsoy , R , Lee , C-Y and Martin-Vega , LA . 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 .
   Web of Science ®Google Scholar
• Uzsoy , R , Lee , C-Y and Martin-Vega , LA . 1994 . A review of Production Planning and Scheduling Models in the Semiconductor Industry (II): Shop-floor Control . IIE Transactions , 26 : 44 – 55 .
   Web of Science ®Google Scholar
• Viertl , R . 2009 . On Reliability Estimation Based on Fuzzy Lifetime Data . Journal of Statistical Planning and Inference , 139 : 1750 – 1755 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Wang , L , Chu , J and Mao , WJ . 2009 . A Condition-based Replacement and Spare Provisioning Policy for Deteriorating Systems with Uncertain Deterioration to Failure . European Journal of Operational Research , 194 : 184 – 205 .
   Web of Science ®Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Wu , HC . 1997 . Fuzzy Reliability Analysis Based on Closed Fuzzy Numbers . Information Sciences , 103 : 35 – 159 .
   Web of Science ®Google Scholar
• Wu , H-C . 2004 . Fuzzy Reliability Estimation Using Bayesian Approach . Computers and Industrial Engineering , 46 : 467 – 493 .
   Web of Science ®Google Scholar
• Yadavalli , VSS , 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 .
   Web of Science ®Google Scholar
• Yadavalli , VSS , 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 .
   Web of Science ®Google Scholar
• Zadeh , LA . 1978 . Fuzzy Sets as a Basis for a Theory of Possibility . Fuzzy Sets and Systems , 1 : 3 – 28 .
   Google Scholar
• Zimmermann , HJ . 2001 . Fuzzy Set Theory and its Applications, , 4th , Boston : Kluwer Academic .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar