基于不完全转运的民机可修备件库存优化研究

    Inventory Optimization of Repairable Spare Parts for Civil Aircrafts with Incomplete Transshipment

    • 摘要: 结合保障实际,为进一步优化航空公司备件库存策略及运营成本,研究多基地间允许相互调拨但不完全共享可修备件的单级保障系统库存优化问题。根据泊松分布函数及马尔可夫过程理论分别对系统和基地进行库存分析,在此基础上建立以综合保障率和各基地保障率为约束,以最小化系统总成本为目标的不完全转运备件库存优化模型。进一步构造迭代算法和粒子群算法进行优化求解。AnyLogic算例仿真及对关键参数进行敏感性分析的统计结果表明,在不同情况的最优配置策略下,对比优化方法和仿真计算得到的各基地保障率最大误差为0.06,系统总成本最大相对误差为0.31%,并能达到或十分接近于目标保障率要求。敏感性分析及误差分析表明所提模型及算法均可行有效。

       

      Abstract: The models and methods of spare parts inventory strategies that allow for complete sharing or unidirectional transshipment may not necessarily be applicable to all spare parts support systems. The inventory optimization problem of single echelon support systems is studied to further optimize the spare parts inventory strategy and operating cost of airlines, allowing mutual transshipment among multiple bases with incomplete sharing of repairable spare parts. The inventory of the system and bases is analyzed respectively according to Poisson distribution and Markov process theory. On this basis, an optimization model is established for the inventory of spare parts considering incomplete transshipment with the comprehensive support rate and the support rate of each base as constraints, and the objective being the minimum of total system cost. Then, the iterative algorithm and particle swarm optimization algorithm are constructed for solving the optimization problem. The results of AnyLogic simulation and sensitivity analysis of key parameters show that: the maximum relative error of each base support rate is 0.06, and the maximum relative error of the total system cost is 0.31% by comparing the optimization method and simulation calculation under the optimal configuration strategy in different situations. These results meet or very close to the target support rate requirements. Sensitivity analysis and error analysis show that the proposed model and algorithm are feasible and effective.

       

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