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A load‐sharing model: The linear breakdown rule

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  • Zvi Schechner

Abstract

An n‐component parallel system is subjected to a known load program. As time passes, components fail in a random manner, which depends on their individual load histories. At any time, the surviving components share the total load according to some rule. The system's life distribution is studied under the linear breakdown rule and it is shown that if the load program is increasing, the system lifetime is IFR. Using the notion of Schur convexity, a stochastic comparison of different systems is obtained. It is also shown that the system failure time is asymptotically normally distributed as the number of components grows large. All these results hold under various load‐sharing rules; in fact, we show that the system lifetime distribution is invariant under different load‐sharing rules.

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  • Zvi Schechner, 1984. "A load‐sharing model: The linear breakdown rule," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(1), pages 137-144, March.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:1:p:137-144
    DOI: 10.1002/nav.3800310114
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