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Burn-in for Heterogeneous Populations

In: Stochastic Modeling for Reliability

Author

Listed:
  • Maxim Finkelstein

    (University of the Free State
    Max Planck Institute for Demographic Research)

  • Ji Hwan Cha

    (Ewha Womans University)

Abstract

In the previous chapters, we discussed the burn-in procedures for homogeneous populations. When the failure rate of a population is decreasing or bathtub-shaped (BT), burn-in can be usually justified. Note that, as mentioned and illustrated earlier, the heterogeneity of populations is often a reason for the decrease in the resulting failure rate, at least, in some time intervals. In this chapter, the optimal burn-in procedures are investigated without assuming that the population failure rate is BT. We consider the mixed population composed of two ordered subpopulations—the subpopulation of strong items (items with ‘normal’ lifetimes) and that of weak items (items with shorter lifetimes). In practice, weak items may be produced along with strong items due to, for example, defective resources and components, human errors, unstable production environment, etc. In the later part of this section, we will also consider the continuous mixtures model.

Suggested Citation

  • Maxim Finkelstein & Ji Hwan Cha, 2013. "Burn-in for Heterogeneous Populations," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 261-312, Springer.
  • Handle: RePEc:spr:ssrchp:978-1-4471-5028-2_8
    DOI: 10.1007/978-1-4471-5028-2_8
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