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Multinomial-exponential reliability function: a software reliability model

机译：多项式指数可靠性函数：软件可靠性模型

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摘要

The multinomial-exponential reliability function (MERF) was developed during a detailed study of the software failure/correction processes. Later on MERF was approximated by a much simpler exponential reliability function (EARF), which keeps most of MERF mathematical properties, so the two functions together makes up a single reliability model. The reliability model MERF/EARF considers the software failure process as a non-homogeneous Poisson process (NHPP), and the repair (correction) process, a multinomial distribution. The model supposes that both processes are statistically independent. The paper discusses the model's theoretical basis, its mathematical properties and its application to software reliability. Nevertheless it is foreseen model applications to inspection and maintenance of physical systems. The paper includes a complete numerical example of the model application to a software reliability analysis.
机译：在对软件故障/纠正过程进行详细研究期间，开发了多项式指数可靠性函数（MERF）。之后，通过更简单的指数可靠性函数（EARF）近似MERF，该函数保留了MERF的大部分数学属性，因此这两个函数共同构成了一个可靠性模型。可靠性模型MERF / EARF将软件故障过程视为非均匀泊松过程（NHPP），并将修复（校正）过程视为多项分布。该模型假定两个过程在统计上都是独立的。本文讨论了该模型的理论基础，其数学性质及其在软件可靠性中的应用。但是，可以预见将模型应用到物理系统的检查和维护中。本文包含了模型应用到软件可靠性分析中的完整数值示例。

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