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针对现有备件冗余度建模中无限呼叫总体假设不合理、供应可用度计算困难的问题,提出一种k/N(G)结构系统初始备件配置方法。首先,采用有限源排队论获取备件短缺数概率分布。然后,给出计算k/N(G)结构系统供应可用度的方案,并证明了方案的正确性。该方案在计算随机挑选的一套系统未因备件短缺而停机的概率基础上,利用k(或更多)套系统良好的二项分布概率估计系统供应可用度。最后,应用边际分析算法确定各项备件的数量。实例分析表明:该方法能优化k/N(G)结构系统各组成部件的库存数量,且与单项法相比具有明显的优势,能以较少的备件费用达到相同的供应可用度目标。
In view of the unreasonable general assumption of unlimited call and the difficulty in calculating the availability of spare parts in the existing spare part redundancy modeling, a method of initial spare parts configuration for k / N (G) structural system is proposed. First, the finite element source queuing theory is used to obtain the probability distribution of spare parts shortage. Then, a scheme to calculate the availability of k / N (G) structural system is given, and the correctness of the scheme is proved. The scheme estimates the availability of system by using the good binomial distribution probability of k (or more) sets of systems based on the probability that a set of randomly selected systems is not shut down due to shortage of spare parts. Finally, the marginal analysis algorithm is used to determine the number of spare parts. The case study shows that this method can optimize the inventory quantity of each component of k / N (G) system and has the obvious advantage over the single method, and can achieve the same goal of availability availability with less spare parts cost.