基于定期维修的k/N系统维修渠道优化模型

Optimization Model of Maintenance Channel for k/N System Based on Periodic Maintenance Policy

针对定期维修策略下的k/N系统维修渠道的配置问题,建立了多类故障单元批量定期送修的维修渠道优化模型。首先,给出了定期维修策略下的k/N系统工作流程和故障单元维修流程;然后,根据故障单元批量定期送修的特点,提出了D~ξ/M/~c排队模型,并对关键输入参数进行了修正与计算,对排队系统的稳态概率进行了求解;接着,建立了多类故障单元同时送修的维修渠道优化模型,通过将多类顾客源多服务台排队系统转化为单类顾客源多服务台排队系统,对优化模型进行了求解;最后,通过算例仿真与分析,对模型进行了验证。结果表明,该模型能够为k/N系统维修渠道数量的确定提供理论依据,对部队维修资源的合理配置具有一定的指导意义。

Aiming at the configuration problem of maintenance channel for k/N system based on periodic maintenance policy, an optimization model is established for maintenance channel considering the batched periodic delivery of multi-class failed units. Firstly, the k/N system operation process and the failed units maintenance flow are given. Secondly, the D^ξ/M/c queuing model is proposed according to the feature of the batched periodic delivery of the failed units, the key parameters are calculated and modified, and the steady-state probability of the queuing system is calculated. Then, the optimization model is developed for maintenance channel considering multi-class failed units delivery simultaneously, and the model is solved through converting the multi-class-source-multi-server queuing system into the single-class-source-multi-server queuing system. Finally, simulation and analysis of an example are conducted to verify the proposed model. The results show that the model can solve the maintenance channel allocation problem well and may improve the allocation of maintenance resources.