Analysis and approximation of a reliable model

Houbao Xu*, Weiwei Hu

*此作品的通讯作者

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10 引用 (Scopus)

摘要

In this paper we consider the problem of approximating the dynamical system that models reliability of a system consisting of two machines separated by a finite storage buffer. The system is described as a distributed parameter system defined by a coupled partial and ordinary differential equations and formulated as an abstract Cauchy problem. To derive the dynamical solution and some instantaneous indexes of the model, we present a simple finite difference scheme and establish the convergence of this scheme by employing Trotter-Kato Theorem. Numerical results are given to illustrate the effectiveness of the scheme.

源语言英语
页(从-至)3777-3788
页数12
期刊Applied Mathematical Modelling
37
6
DOI
出版状态已出版 - 15 3月 2013

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