Analysis and approximation of a reliable model

作者：Xu Houbao^*; Hu Weiwei

来源：Applied Mathematical Modelling, 2013, 37(6): 3777-3788.

DOI：10.1016/j.apm.2012.07.056

• Trotter-Kato theorem
• Convergence
• Dynamical solution

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.

• 出版日期2013-3-15
• 单位北京理工大学