Maximum entropy approach to machine repair problem

被引：6

作者：

Ke J.-C. ^{[1
]}

Lin C.-H. ^{[2
]}

机构：

[1] Department of Applied Statistics, National Taichung Institute of Technology

[2] Graduate School of Computer and Information Technology, National Taichung Institute of Technology

来源：

International Journal of Services Operations and Informatics | 2010年 / 5卷 / 03期

关键词：

Bisection; Lagrange multipliers; Machine repair problem; Maximum entropy;

D O I：

10.1504/IJSOI.2010.034035

中图分类号：

学科分类号：

摘要：

For an M/G/1 machine repair problem, the steady-state probability distributions of the number of down machines are usually found by using the supplementary variable technique and recursive method. We use in this paper the required steady-state availability and the expected number of down machines to compute the maximum entropy approximation for the steady-state probability distributions of the number of down machines in the system, thus avoiding the use of supplementary variable technique. In numerical examples, comparison of the steady-state probability distributions obtained by the exact approach and the approximation procedure are provided to illustrate the effectiveness of maximum entropy approach. © 2010 Inderscience Enterprises Ltd.

引用

页码：197 / 208

页数：11

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