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A Comparison of the Bad as Old and Superimposed Renewal Models

Author

Listed:
  • Saul Blumenthal

    (University of Kentucky)

  • A. Greenwood

    (City University of New York)

  • L. H. Herbach

    (Polytechnic Institute of New York)

Abstract

For the bad as old (BAO) model for system reliability, asymptotic distributions for time between failures and time of rth failure are obtained. For series systems, inequalities are obtained for the BAO and superimposed renewal (SR) models for distributions of number of failures and time between failures. Approximations for the distribution of number of failures are obtained for the BAO model for new, large series systems. Consideration is given to the use of BAO probabilities as approximations to SR probabilities for series systems.

Suggested Citation

  • Saul Blumenthal & A. Greenwood & L. H. Herbach, 1976. "A Comparison of the Bad as Old and Superimposed Renewal Models," Management Science, INFORMS, vol. 23(3), pages 280-285, November.
    • Handle: RePEc:inm:ormnsc:v:23:y:1976:i:3:p:280-285
    DOI: 10.1287/mnsc.23.3.280
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    Cited by:

    1. Wang, Hongzhou & Pham, Hoang, 2006. "Availability and maintenance of series systems subject to imperfect repair and correlated failure and repair," European Journal of Operational Research, Elsevier, vol. 174(3), pages 1706-1722, November.

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