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On a new stochastic model for cascading failures

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Abstract In this paper, to model cascading failures, a new stochastic failure model is proposed. In a system subject to cascading failures, after each failure of the component, the remaining… Click to show full abstract

Abstract In this paper, to model cascading failures, a new stochastic failure model is proposed. In a system subject to cascading failures, after each failure of the component, the remaining component suffers from increased load or stress. This results in shortened residual lifetimes of the remaining components. In this paper, to model this effect, the concept of the usual stochastic order is employed along with the accelerated life test model, and a new general class of stochastic failure models is generated.

Keywords: new stochastic; failures new; cascading failures; model; stochastic model; model cascading

Journal Title: Journal of Applied Probability
Year Published: 2020

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