Reliability approximation of k-out-of-n pairs: G balanced systems with spatially distributed units
针对k-out-of-n对：G平衡系统，提出一种基于蒙特卡洛模拟的可靠性近似方法，解决了因空间配置和事件数量大导致的计算耗时问题，数值实验证明该方法准确且高效。
Various industries are finding increasing uses for k-out-of-n pairs: G balanced systems, an example being an unmanned aerial vehicle. The reliability estimation for such systems is difficult to obtain, due to the complexity of the problem: the operation of the systems depends on not only the number of operating pairs but also their spatial configuration. The computation becomes time-consuming when n is large and k is small, since the number of successful events increases significantly. In this article, we develop a Monte Carlo simulation-based reliability approximation for k-out-of-n pairs: G balanced systems for different scenarios. Numerical examples show that the approximation is accurate and computationally efficient.