修复率变化条件下的k/N(G)系统可用性研究

Availability of K-out-of-N:G system with different repair rates

故障件修复率是可用性模型中与维修人员联系最紧密的参数,目前的系统可用性评估中常将其假设为一个单值常数,即认为维修人员效率相同且保持不变。但实际工作中参与维修的人员业务能力并不一样,且同一人员其修复率也会随维修管理以及其心理状态的变化而变化。针对这种情况,对k/N(G)系统分别建立了考虑维修人员能力差异和考虑维修管理及人员心理状态影响的可用性评估模型。基于生灭过程理论,对这两个模型进行了稳态求解。为维修保障人员的配置管理与决策分析提供了依据。

The repair rate of a repairable system, which is the parameter most related with repairmen in availability models, is usually assumed to be a constant. This limitation means the productivities of repairmen are assumed to be the same and not changeable. Actually the repair rate is decided by the skills of repairmen but different repairman has different level of repair skills, and the efficiency of a repairman is affected by its psychological conditions and the management. Then two availability models of K-out-of-N ： G Systems are proposed. The first one considers the difference of repairmen＇ s skills. The other one takes into account of the influence of the repair management and the repairmen＇ s psychological conditions to the repair rate. Then the stead-states＇ probabilities of these models are given mathematically based on the birth and death process. These works would make models more practical and realistic, and they＇ re helpful to analyze and to allocate human resource.