战时二级备件供应库存模型稳定性分析

摘要

Based on the complexity of mission, diversity of condition and the unforeseen combat damage in wartime are considered in the research, one kind of 2-echelon supply support action for wartime repairable spare was introduced in this paper, a differential model with three variables was built, the Lyapunov functions were applied to conduct its stability analysis, and the stability requirements of this war-time 2-echelon spare parts supply support model were concluded. The analysis result could also aid to expound the mechanism of equilibrium between supply&demand, and forecast and evaluate the effectiveness of logistics system.%论文考虑战场条件下装备作战保障任务的复杂性、环境的多样性以及战斗损伤的突发性，对战时二级备件供应保障提出一系列假设进行简化，建立了一个包含三变量的微分模型，应用李雅普诺夫稳定性基本理论，构建李雅普诺夫函数，对微分模型进行稳定性分析，得到了战时二级备件供应库存模型稳定供应的必要条件，论文结论为分析备件供应保障的供需平衡机理，预测和评估装备保障系统效能提供了理论支撑。