Skip to main content

Optimal Design of CSADT with Multiple Stresses

  • Conference paper
  • First Online:
Engineering Asset Management 2011

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

Most products are affected by multiple stresses simultaneously, so it is necessary to study the optimal method for accelerated degradation testing (ADT) with multiple stresses. This method is proposed for constant stress ADT (CSADT). First, uniform orthogonal test theory is used to determine the combined mode of different stresses. Then stochastic process is used to model the perform degradation of products. Under the constraint of the total experimental cost, the optimum problem is established with the objective that minimizing the asymptotic variance of the estimation of the reliability of the pth quantile of product’s lifetime under use condition. Optimal test variables are given, including: levels of each stress, total sample size and testing time, and sample size and testing time at each stress combination. Finally, simulation examples are presented to illustrate the proposed method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Boulanger M, Escobar LA (1994) Experimental design for a class of accelerated degradation tests. Technometrics 36(3):260–272

    Article  MATH  Google Scholar 

  2. Li Q (2002) Accelerated degradation test planning and optimization. PhD Thesis, The University of Arizona, Tucson, Arizona

    Google Scholar 

  3. Park SJ, Yum BJ, Balamurali S (2004) Optimal design of step-stress degradation tests in the case of destructive measurement. Qual Technol Quant Manage 1(1):105–124

    MathSciNet  Google Scholar 

  4. Polavarapu I, Okogbaa G (2005) An interval estimate of mean-time-to-failure for a product with reciprocal weibull degradation failure rate. In: Proceedings annual reliability and maintainability symposium. IEEE, Alexandria, p 261–264

    Google Scholar 

  5. Yu HF (2006) Designing an accelerated degradation experiment with a reciprocal Weibull degradation rate. J Stat Plann Infer 136(1):282–297

    Article  MATH  Google Scholar 

  6. Tseng ST, Balakrishnan N, Tsai CC (2009) Optimal step-stress accelerated degradation test plan for gamma degradation processes. Trans Reliab 58(4):611–618

    Article  Google Scholar 

  7. Wang YS (2008) Research of simulation-based optimal design for accelerated testing. PhD Thesis, National University of Defense Technology, Changsha (in Chinese)

    Google Scholar 

  8. Li XY, Jiang TM (2009) Optimal design for step-stress accelerated degradation testing with competing failure modes. In: Proceedings annual reliability and maintainability symposium, p 64–68

    Google Scholar 

  9. Ge ZZ, Li XY, Jiang TM, Huang TT (2011) Optimal design for step-stress accelerated degradation testing based on D-optimality. In: Proceedings annual reliability and maintainability symposium, Orlando p 348–353

    Google Scholar 

  10. Pan ZQ, Zhou JL, Peng BH (2009) Design of accelerated degradation tests with several stresses based on Wiener process. Syst Eng Theory Pract 29(8):64–71 (in Chinese)

    Google Scholar 

  11. Kaitai F, Changxing M (2001) Orthogonal and uniform experimental design. Science Press, Beijing (in Chinese). http://www.math.hkbu.edu.hk/UniformDesign/

  12. Chhikara RS, Folks JL (1989) The inverse Gaussian distribution. Marcel Dekker, New York

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to X. Y. Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer-Verlag London

About this paper

Cite this paper

Ge, Z.Z., Li, X.Y., Jiang, T.M. (2014). Optimal Design of CSADT with Multiple Stresses. In: Lee, J., Ni, J., Sarangapani, J., Mathew, J. (eds) Engineering Asset Management 2011. Lecture Notes in Mechanical Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-4993-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-4993-4_14

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4992-7

  • Online ISBN: 978-1-4471-4993-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics