1,095
Views
104
CrossRef citations to date
0
Altmetric
Original Articles

Modeling zoned shock effects on stochastic degradation in dependent failure processes

, &
Pages 460-470 | Received 01 Sep 2013, Accepted 01 Jun 2014, Published online: 20 Jan 2015

References

  • Amari, S.V., Dugan, J.B. and Misra, R.B. (1999) A separable method for incorporating imperfect fault-coverage into combinatorial models. IEEE Transactions on Reliability, 48, 267–274.
  • Dugan, J.B. and Trivedi, K.-S. (1989) Coverage modeling for dependability analysis of fault-tolerant systems. IEEE Transactions on Computers, 38, 775–787.
  • Fishman, G.S. (1996) Monte Carlo: Concepts, Algorithms, and Applications, Springer-Verlag, New York, NY.
  • Huynh, K.T., Barros, A., Berenguer, C. and Castro, I.T. (2011) A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events. Reliability Engineering & System Safety, 96, 497–508.
  • Huynh, K.T., Castro, I.T., Barros, A. and Berenguer, C. (2012) Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks. European Journal of Operational Research, 218, 140–151.
  • Jank, W. (2005) Quasi-Monte Carlo sampling to improve the efficiency of Monte Carlo EM. Computational Statistics & Data Analysis, 48, 685–701.
  • Jarušková, D. and Hanek, M. (2006) Peaks over threshold method in comparison with block-maxima method for estimating high return levels of several Northern Moravia precipitation and discharges series. Journal of Hydrology and Hydromechanics, 54, 309–319.
  • Jiang, L., Feng, Q. and Coit, D.W. (2012) Reliability and maintenance modeling for dependent competing failure processes with shifting failure thresholds. IEEE Transactions on Reliability, 61, 932–948.
  • Kao, E. (1997) An Introduction to Stochastic Processes, Duxbury Press, Pacific Grove, CA.
  • Katz, R.W., Parlange, M.B. and Naveau, P. (2002) Statistics of extremes in hydrology. Advances in Water Resources, 25, 1287–1304.
  • Keedy, E. and Feng, Q. (2012) A physics-of-failure based reliability and maintenance modeling framework for stent deployment and operation. Reliability Engineering & System Safety, 103, 94–101.
  • Keedy, E. and Feng, Q. (2013) Reliability analysis and customized preventive maintenance policies for stents with stochastic dependent competing risk processes. IEEE Transactions on Reliability, 62, 887–897.
  • Kysely, J., Picek, J. and Beranova, R. (2010) Estimating extremes in climate change simulations using the peaks-over-threshold method with a non-stationary threshold. Global and Planetary Change, 72, 55–68.
  • Moskowitz, B. and Caflisch, R.E. (1996) Smoothness and dimension reduction in quasi-Monte Carlo methods. Mathematical and Computer Modelling, 23, 37–54.
  • Myers, A.F. (2007) k-out-of-n : G system reliability with imperfect fault coverage. IEEE Transactions on Reliability, 56, 464–473.
  • Pan, Z.Q. and Balakrishnan N. (2011) Reliability modeling of degradation of products with multiple performance characteristics based on gamma processes. Reliability Engineering & System Safety, 96, 949–957.
  • Park, C. and Padgett, W.J. (2005) Accelerated degradation models for failure based on geometric Brownian motion and gamma processes. Lifetime Data Analysis, 11, 511–527.
  • Park, C. and Padgett, W.J. (2006) Stochastic degradation models with several accelerating variables. IEEE Transactions on Reliability, 55, 379–390.
  • Peng, H., Feng, Q. and Coit, D.W. (2011) Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes. IIE Transactions, 43, 12–22.
  • Rafiee, K., Feng, Q. and Coit, D.W. (2013) Reliability modeling for dependent competing failure processes with changing degradation rate. IIE Transactions, 46, 483–496.
  • Reiss, R.D. and Thomas, M. (2001) Statistical Analysis of Extreme Values: From Insurance, Finance, Hydrology, and Other Fields, Birkhäuser Verlag, Basel, Switzerland.
  • Robertson, S.W. and Ritchie, R.O. (2007) In vitro fatigue-crack growth and fracture toughness behavior of thin-walled superelastic Nitinol tube for endovascular stents: a basis for defining the effect of crack-like defects. Biomaterials, 28, 700–709.
  • Robertson, S.W. and Ritchie, R.O. (2008) A fracture-mechanics-based approach to fracture control in biomedical devices manufactured from superelastic Nitinol tube. Journal of Biomedical Materials Research Part B-Applied Biomaterials, 84, 26–33.
  • Song, S., Coit, D.W., Feng, Q. and Peng, H. (2014) Reliability analysis for multiple-component systems subject to multiple dependent competing failure processes. IEEE Transactions on Reliability, 63, 331–345.
  • Tanner, D.M. and Dugger, M.T. (2003) Wear mechanisms in a reliability methodology. Proceedings of SPIE, 4980, 22–40.
  • Tanner, D.M., Walraven, J.A., Helgesen, K., Irwin, L.W., Brown, F., Smith, N.F. and Masters, N. (2000) MEMS reliability in shock environments. Presented at the Reliability Physics Symposium, San Jose, CA.
  • Tsai, C.C., Tseng, S.T. and Balakrishnan, N. (2011) Optimal burn-in policy for highly reliable products using gamma degradation process. IEEE Transactions on Reliability, 60, 234–245.
  • Tsai, C.C., Tseng, S.T. and Balakrishnan, N. (2012) Optimal design for degradation tests based on gamma processes with random effects. IEEE Transactions on Reliability, 61, 604–613.
  • Van Noortwijk, J.M. (2009) A survey of the application of gamma processes in maintenance. Reliability Engineering & System Safety, 94, 2–21.
  • Van Noortwijk, J.M., van der Weide, J.A.M., Kallen, M.J. and Pandey, M.D. (2007) Gamma processes and peaks-over-threshold distributions for time-dependent reliability. Reliability Engineering & System Safety, 92, 1651–1658.
  • Wang, Y. and Pham, H. (2011) A multi-objective optimization of imperfect preventive maintenance policy for dependent competing risk systems with hidden failure. IEEE Transactions on Reliability, 60, 770–781.
  • Wang, Y. and Pham, H. (2012) Modeling the dependent competing risks with multiple degradation processes and random shock using time-varying copulas. IEEE Transactions on Reliability, 61, 13–22.
  • Wang, Z.L., Huang, H.Z., Li, Y.F. and Xiao, N.C. (2011) An approach to reliability assessment under degradation and shock process. IEEE Transactions on Reliability, 60, 852–863.
  • Ye, Z.S., Tang, L.C. and Xu, H.Y. (2011) A distribution-based systems reliability model under extreme shocks and natural degradation. IEEE Transactions on Reliability, 60, 246–256.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.