A Random Shock Model with Mixed Effect, Including Competing Soft and Sudden Failures, and Dependence

作者：Mercier Sophie^*; Hai Ha Pham

来源：Methodology and Computing in Applied Probability, 2016, 18(2): 377-400.

DOI：10.1007/s11009-014-9423-6

• Reliability
• Bivariate non homogeneous compound Poisson process
• Hazard rate process
• Poisson random measure
• Stochastic order
• Ageing properties
• Two-component series system

A system is considered, which is subject to external and possibly fatal shocks, with dependence between the fatality of a shock and the system age. Apart from these shocks, the system suffers from competing soft and sudden failures, where soft failures refer to the reaching of a given threshold for the degradation level, and sudden failures to accidental failures, characterized by a failure rate. A non-fatal shock increases both degradation level and failure rate of a random amount, with possible dependence between the two increments. The system reliability is calculated by four different methods. Conditions under which the system lifetime is New Better than Used are proposed. The influence of various parameters of the shocks environment on the system lifetime is studied.

• 出版日期2016-6