This article proposes a system design optimization for a circular k-out-of-n: G balanced system with equal load-sharing units. The system consists of n identical units whose failure times are assumed to follow an exponential distribution, and it is subject to an equally shared load among the working units. The load-sharing relationship between the amount of load and the failure rates of the working units is assumed to follow a power rule. If the system is not balanced, it can be balanced by forcing some operating units into standby or returning the standby units into operation. We arrange the system failure paths and use them in the exact reliability evaluation for systems with a small number of units (rotors). Due to the longer computation time, we use a Monte Carlo simulation to approximate the reliability of systems with a large number of units (rotors). We apply two maintenance policies, corrective maintenance, and condition-based preventive maintenance, to understand the effects of system balance conditions, load-sharing rule parameters, system configuration k, and various cost parameters on the optimal maintenance settings, using numerical examples.

中文翻译：

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循环 k-Out-of-n: G 平衡系统的经济设计和维护，带有负载共享单元

本文提出了一个循环 k-out-of-n: G 平衡系统的系统设计优化，具有相等的负载共享单元。该系统由 n 个相同的单元组成，它们的故障时间被假定为服从指数分布，并且它受到工作单元之间均等分担的负载。假设负载量与工作单元故障率之间的负载分担关系遵循幂律。如果系统不平衡，可以通过强制某些运行单元进入待机状态或将备用单元恢复运行来进行平衡。我们安排系统故障路径，并将其用于具有少量单元（转子）的系统的精确可靠性评估。由于计算时间较长，我们使用蒙特卡罗模拟来近似具有大量单元（转子）的系统的可靠性。我们应用两种维护策略，纠正性维护和基于状态的预防性维护，通过数值例子来了解系统平衡条件、负载分担规则参数、系统配置 k 和各种成本参数对最佳维护设置的影响。