基于不完全转运的民机可修备件库存优化研究

doi:10.3969/j.issn.1007-7375.2023.05.012

工业工程 ›› 2023, Vol. 26 ›› Issue (5): 107-114.doi: 10.3969/j.issn.1007-7375.2023.05.012

基于不完全转运的民机可修备件库存优化研究

付维方¹, 樊香丽¹, 刘英杰²

1. 中国民航大学航空工程学院，天津 300300;
2. 北京飞机维修工程有限公司，北京 100621

收稿日期:2022-10-05 发布日期:2023-10-25
作者简介:付维方(1977-),男,天津市人,副教授,硕士,主要研究方向为航空器维修保障与经济性分析
基金资助:
中国民航大学中央高校基金资助项目 (3122016D010)

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

FU Weifang¹, FAN Xiangli¹, LIU Yingjie²

1. School of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China;
2. Beijing Aircraft Maintenance Engineering Limited Company, Beijing 100621, China

Received:2022-10-05 Published:2023-10-25

摘要/Abstract

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。

关键词: 可修备件, 不完全转运, 备件库存, 保障率

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.

Key words: repairable spare parts, incomplete transshipment, spare parts inventory, guarantee rate

中图分类号:

付维方, 樊香丽, 刘英杰. 基于不完全转运的民机可修备件库存优化研究[J]. 工业工程, 2023, 26(5): 107-114.

FU Weifang, FAN Xiangli, LIU Yingjie. Inventory Optimization of Repairable Spare Parts for Civil Aircrafts with Incomplete Transshipment[J]. Industrial Engineering Journal, 2023, 26(5): 107-114.

参考文献

[1] LEE H L. A multi-echelon inventory model for repairable items with emergency lateral transshipments[J]. Management Science, 1987, 33(10): 1302-1316
[2] AXSÄTER S. Modelling emergency lateral transshipments in inventory systems[J]. Management Science, 1990, 36(11): 1329-1338
[3] SHERBROOKE C C. Multiechelon inventory systems with lateral supply[J]. Naval Research Logistics (NRL) , 1992, 39(1): 29-40
[4] WONG H, HOUTUM G, CATTRYSSE D, et al. Multi-item spare parts systems with lateral transshipments and waiting time constraints[J]. European Journal of Operational Research, 2005, 171(3): 1071-1093
[5] KUKREJA A, SCHMIDT C P. A model for lumpy demand parts in a multi-location inventory system with transshipments[J]. Computers and Operations Research, 2004, 32(8): 2059-2075
[6] KUKREJA A, SCHMIDT C P, MILLER D M. Stocking decisions for low-usage items in a multilocation inventory system[J]. Management Science, 2001, 47(10): 1371-1383
[7] WONG H, CATTRYSSE D, OUDHEUSDEN D V. Stocking decisions for repairable spare parts pooling in a multi-hub system[J]. International Journal of Production Economics, 2005, 93-94: 309-317
[8] 霍佳震, 李虎. 零备件库存多点转运的批量订货模型与算法[J]. 系统工程理论与实践, 2007, 27(12): 62-67
HUO Jiazhen, LI Hu. Batch ordering policy of multi-location spare parts inventory system with emergency lateral transshipments[J]. Systems Engineering — Theory & Practice, 2007, 27(12): 62-67
[9] 孙凌, 罗长远, 吕真. 基于延迟转运的维修备件库存模型[J]. 计算机工程与应用, 2017, 53(19): 265-270
SUN Ling, LUO Changyuan, LYU Zhen. Maintenance spare parts inventory model with delayed transshipment[J]. Computer Engineering and Applications, 2017, 53(19): 265-270
[10] 张颖, 王蕴, 薛佩. 三站点备件供应保障关系建模与分析[J]. 北京航空航天大学学报, 2017, 43(8): 1625-1631
ZHANG Ying, WANG Yun, XUE Pei. Modeling and analysis of spares supply support relations among three stations[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(8): 1625-1631
[11] 张光宇, 李庆民, 葛恩顺. 可修备件的多点库存转运建模与优化方法[J]. 海军工程大学学报, 2013, 25(5): 52-58
ZHANG Guangyu, LI Qingmin, GE Enshun. Modeling and optimization of multi-location inventory lateral transshipment system of repairable spare parts[J]. Journal of Naval University of Engineering, 2013, 25(5): 52-58
[12] 张光宇, 李庆民, 郭璇. 基于横向转运策略的可修备件多点库存建模方法[J]. 系统工程与电子技术, 2012, 34(7): 1424-1429
ZHANG Guangyu, LI Qingmin, GUO Xuan. Modeling for repairable spare parts in multi-location inventory system with lateral transshipments[J]. Systems Engineering and Electronics, 2012, 34(7): 1424-1429
[13] 许民利, 孙彩群. 基于等待时间限制的服务备件多点转运库存模型研究[J]. 山东大学学报 (理学版), 2010, 45(3): 61-65
XU Minli, SUN Caiqun. A multi-location inventory model for service parts with lateral transshipment and waiting time constraints[J]. Journal of Shandong University (Natural Science), 2010, 45(3): 61-65
[14] 阮旻智, 刘任洋. 随机需求下多层级备件的横向转运配置优化模型[J]. 系统工程理论与实践, 2016, 36(10): 2689-2698
RUAN Minzhi, LIU Renyang. Configuration and optimization model for multi-indenture spares with lateral transshipments under stochastic demand[J]. Systems Engineering — Theory & Practice, 2016, 36(10): 2689-2698
[15] AXSÄTER S. Evaluation of unidirectional lateral transshipments and substitutions in inventory systems[J]. European Journal of Operational Research, 2003, 149(2): 438-447
[16] 张光宇, 李庆民, 李华. 零备件的多点库存单向转运模型与算法[J]. 航空学报, 2013, 34(5): 1092-1100
ZHANG Guangyu, LI Qingmin, LI Hua. Unidirectional transshipment model and algorithm in multi-location inventory of spare part[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(5): 1092-1100
[17] OLSSON F. An inventory model with unidirectional lateral transshipments[J]. European Journal of Operational Research, 2010, 200(3): 725-732
[18] ZHONG J H, ZHOU Y. Multi-location inventory model considering bidirectional and unidirectional transshipments simultaneously[J]. Advanced Materials Research, 2013, 2385: 694-697
[19] KRANENBURG A A, HOUTUM G. A new partial pooling structure for spare parts networks[J]. European Journal of Operational Research, 2009, 199 (3): 908-921.
[20] 包记凯, 罗长远, 周道水, 等. 维修备件横向转运库存优化模型[J]. 信息工程大学学报, 2014, 15(1): 24-28, 40
BAO Jikai, LUO Changyuan, ZHOU Daoshui, et al. Optimization model for maintenance spare parts inventory system with lateral transshipments[J]. Journal of Information Engineering University, 2014, 15(1): 24-28, 40

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

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

编辑推荐

Metrics

本文评价

[1]	罗薇, 符卓, 董伟. 需求受相关性影响的设备备件库存优化[J]. 工业工程, 2019, 22(2): 57-66.
[2]	付维方1, 卞娇2. 航空公司飞机航线可更换单元两级库存控制方法[J]. 工业工程, 2016, 19(1): 61-65.
[3]	傅晨曦, 郑永前, 姜培明. 基于混和模糊神经网络的零备件库存优化方法研究[J]. 工业工程, 2013, 16(6): 40-46.