随机共因失效条件下战时合成部队携行备件配置优化研究

Allocation Optimization of Carrying Spare Parts for Combined Arms Unit Based on Random Common Cause Failure in Wartime

装备群在执行作战任务过程中通常会发生共因失效事件,分析共因失效故障对实现装备群的精确化保障具有现实意义。针对战时合成部队装备群遂行任务时,装备携行备件配置优化模型中没有考虑装备受击故障这一类随机共因失效的问题,提出了随机共因失效条件下的备件配置优化方法。建立了装备故障相关条件下的备件需求模型和多约束条件下的携行备件配置优化模型,引入拉格朗日乘子,利用边际效应法求出最优配置方案通过实例对该方法的可行性进行验证。研究结果表明,在装备随机共因失效条件下,所建立的模型可以为多约束携行备件配置优化提供模型参考。

The common cause failure events usually happen in the weapon and equipment for implementing the combat mission. The analysis of common cause failure events is of practical significance to the precise equipment support. A kind of random common cause failure has not been considered in the optimization model of carrying spare parts allocation for the combined arms unit implementing the task. An optimization method for spare parts allocation under random common cause failure is proposed. A spare parts demand model with the condition of equipment fault correlation is established, and an optimal model for carrying spare parts allocation under multiple constraints is developed. The Lagrange multiplier is introduced, and the optimal allocation scheme is obtained using the marginal effect method. A real example is used to verify the validity of the proposed model. The results show that the proposed model can be used to obtain the optimal allocation of multi-constraint spare parts under the condition of the random common cause failure.