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A Failure Model for Equipments Undergoing Complex Operation

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  • David S. Stoller

    (The Rand Corporation, Santa Monica, California)

Abstract

A simple failure model for equipment undergoing several cycles of operation is given by the expression, 1 - exp(-(Lambda)(sum) ı =1 ı = k (tau) i ), where (Lambda) is the failure coefficient, (tau) i is the length of the ı th cycle of operation, and k is the number of cycles. A consequence of this model is that the probability of failure for a given total operating time is independent of the number of cycles of operation. It is shown that, under certain assumptions, a failure model that takes account of the number of cycles of operation, as well as the operating time, is given by the expression, 1 - exp((Lambda) 0 (sum) ı =1 ı = k (tau) ı + (Lambda) 1 k ). Interpretations of the constants, (Lambda) 0 and (Lambda) 1 , are given. Also discussed is a method for testing the plausibility of the model against failure data.

Suggested Citation

  • David S. Stoller, 1958. "A Failure Model for Equipments Undergoing Complex Operation," Operations Research, INFORMS, vol. 6(5), pages 723-728, October.
    • Handle: RePEc:inm:oropre:v:6:y:1958:i:5:p:723-728
    DOI: 10.1287/opre.6.5.723
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