基于三站点库存组织的备件转运策略分析

doi:10.13700/j.bh.1001-5965.2017.0212

北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (3): 629-635.doi: 10.13700/j.bh.1001-5965.2017.0212

基于三站点库存组织的备件转运策略分析

薛佩^1,2, 王乃超^1,2, 肖波平^1,2, 马麟^1,2

1. 北京航空航天大学可靠性与系统工程学院, 北京 100083;
2. 北京航空航天大学可靠性与环境工程技术国防科技重点实验室, 北京 100083

收稿日期:2017-04-06 出版日期:2018-03-20 发布日期:2017-09-18
通讯作者: 马麟 E-mail:malin@buaa.edu.cn
作者简介:薛佩,女,硕士研究生。主要研究方向:备件库存优化;王乃超,男,博士,讲师,硕士生导师。主要研究方向:装备系统保障效能分析与优化、综合保障工程;马麟,男,博士,副教授,硕士生导师。主要研究方向:系统工程、综合保障工程、维修性工程。

Spares transshipment strategy analysis based on a three-site inventory system

XUE Pei^1,2, WANG Naichao^1,2, XIAO Boping^1,2, MA Lin^1,2

1. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. National Science Key Laboratory of Reliability and Environmental Engineering Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

Received:2017-04-06 Online:2018-03-20 Published:2017-09-18

摘要/Abstract

摘要： 基于三站点库存组织研究了备件转运策略对于系统期望延期交货量（EBO）的影响。首先，依据三站点库存组织中备件和故障件的消耗与补给过程以及库存控制策略，给出了考虑保障站点供应优先级的手边现货、应得备件数和延期交货量之间的状态方程。其次，通过定义站点延期交货量与应得备件数之间的比例系数，将原非线性方程组转化成线性方程组，然后借助线性方程组解的判定法则对方程组解的唯一性进行判定，并结合不动点原理构造柯西列逼近原方程的解。最后，在算例分析中借助MATLAB对2种转运策略（按固定概率转运和按优先级约束转运）下系统EBO的数值大小进行对比。结果表明：按优先级约束进行备件转运能够在大部分情况下提高备件利用率同时降低系统EBO。此外，通过分析还可以发现，不同备件转运策略对系统EBO作用效果的显著性主要由转运策略的可行作用空间大小决定，而作用空间的可行变化范围主要由备件需求由本地满足的概率、库存配置方案以及需求率和维修速率决定。

关键词: 备件, 三站点库存组织, 期望延期交货量(EBO), 转运策略, 优先级约束

Abstract: In this paper, the effect of variant transshipment strategies on expected backorders (EBO) of a three-site inventory system is researched. Based on the predefined assumptions and inventory control strategy, as well as the consumption and replenishment process of the spares, the state equations of spares on hand, spares due in from repair and resupply, and backorders are presented with the consideration of the supply priority among sites. By defining the ratio between EBO and the number of spares due in, the original nonlinear equations can be transformed into linear equations. Since the coefficient matrix of the linear equations is invertible, it can be said that the linear equations has only one solution. As indicated above, a Cauchy sequence of the number of spares due in is constructed to approach the sole solution. Finally, the numerical values of the EBO under two transshipment strategies (fixed probability transshipment and priority preferred transshipment) are compared. The results show that the strategy of priority preferred transshipment can not only increase the utilization rate of spares but also reduce EBO of the system in most cases. In addition, it can be found that the effect of different transshipment strategies on the EBO mainly depends on the feasible space of transshipment strategies, which is mainly determined by the rate of demands filled by local site, the inventory allocation scheme, and the repairing and demanding rate of each site.

Key words: spares, three-site inventory system, expected backorders (EBO), transshipment strategy, priority restrictions

中图分类号:

V215.7

薛佩, 王乃超, 肖波平, 马麟. 基于三站点库存组织的备件转运策略分析[J]. 北京航空航天大学学报, 2018, 44(3): 629-635.

XUE Pei, WANG Naichao, XIAO Boping, MA Lin. Spares transshipment strategy analysis based on a three-site inventory system[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2018, 44(3): 629-635.

参考文献

[1] SHERBROOKE C C.METRIC:A multi-echelon technique for recoverable item control[J].Operations Research,1968,16(1):122-141.
[2] MUCKSTADT J A. A model for a multi-item,multi-echelon,multi-indenture inventory system[J].Management Science,1973,20(4):472-481.
[3] SLAY F M.VARI-METRIC:An approach to modeling multi-echelon resupply when the demand process is Poisson with a gamma prior:Report AF301-3[R].Washington,D.C.:Logistics Management Institute,1984.
[4] SHERBROOKE C C.VARI-METRIC:Improved approximations for multi-indenture,multi-echelon availability models[J].Operations Research,1986,34(2):311-319.
[5] AXSATER S.Modelling emergency lateral transshipments in inventory systems[J].Management Science,1990,36(11):1329-1338.
[6] KRANENBURG A A,HOUTUM G J V.A new partial pooling structure for spare parts networks[J].European Journal of Operational Research,2009,199(3):908-921.
[7] LEE H L.A multi-echelon inventory model for repairable items with emergency lateral transshipments[J].Management Science,1987,33(10):1302-1316.
[8] TER S.Exact and approximate evaluation of batch-ordering policies for two-level inventory systems[J].Operations Research,1993,41(4):777-785.
[9] 董琪,徐延学,丛林虎.基于Markov三级库存系统备件横向调拨配置模型[J].系统工程与电子技术,2015,37(11):2524-2530.DONG Q,XU Y X,CONG L H.Allocation model of spare parts for three-echelon inventory system with lateral transshipment based on Markov[J].Systems Engineering and Electronics,2015,37(11):2524-2530(in Chinese).
[10] 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 G Y,LI Q M,GUO X.Modeling for repairable spare parts in multi-location inventory system with lateral transshipments[J].Journal of Systems Engineering and Electronics,2012,34(7):1424-1429(in Chinese).
[11] ALFREDSSON P, VERRIJDT J.Modeling emergency supply flexibility in a two-echelon inventory system[J].Management Science,1999,45(10):1416-1431.
[12] OLSSON F. An inventory model with unidirectional lateral transshipments[J].European Journal of Operational Research,2010,200(3):725-732.
[13] AXSATER S.Evaluation of unidirectional lateral transshipments and substitutions in inventory systems[J].European Journal of Operational Research,2003,149(2):438-447.
[14] 阮旻智,刘任洋.基于横向转运策略的多级库存配置建模与优化[J].中国工程科学,2015,17(5):106-112.RUAN M Z,LIU R Y.Modeling and optimization for multi-echelon spares inventory configuration with lateral transshipments[J].Engineering Sciences,2015,17(5):106-112(in Chinese).
[15] DIKS E B,KOK A G D.Controlling a divergent 2-echelon network with transshipments using the consistent appropriate share rationing policy[J].International Journal of Production Economics,1996,45(1-3):369-379.
[16] OLSSON F.Optimal policies for inventory systems with lateral transshipments[J].International Journal of Production Economics,2009,118(1):175-184.
[17] JUNG B R,SUN B G,KIM J S,et al.Modeling lateral transshipments in multiechelon repairable-item inventory systems with finite repair channels[J].Computers & Operations Research,2003,30(9):1401-1417.
[18] ALVAREZ E M,HEIJDEN M C V D,VLIEGEN I M H,et al.Service differentiation through selective lateral transshipments[J].European Journal of Operational Research,2013,237(3):824-835.
[19] KRANENBURG A A,HOUTUM G J V.A new partial pooling structure for spare parts networks[J].European Journal of Operational Research,2009,199(3):908-921.
[20] 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.
[21] 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.BAO J K,LUO C Y,ZHOU D S,et al.Optimization model for maintenance spare parts inventory system with lateral transshipments[J].Journal of Information Engineering University,2014,15(1):24-28(in Chinese).
[22] 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 Y,WANG Y,XUE P.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(in Chinese).
[23] NONAS L M,JORNSTEN K.Optimal solutions in the multi-location inventory system with transshipments[J].Journal of Mathematical Modelling and Algorithms in Operations Research,2007,6(1):47-75.
[24] TAGARAS G.Pooling in multi-location periodic inventory distribution systems[J].Omega,1999,27(1):39-59.
[25] 张勇,杨宏伟,杨学强,等.基于复杂网络理论的装备保障网络模型研究[J].上海理工大学学报,2012,34(5):429-434.ZHANG Y,YANG H W,YANG X Q,et al.Model of equipment support network based on theory of complex networks[J].Journal of University of Shanghai for Science and Technology,2012,34(5):429-434(in Chinese).
[26] 张勇,杨宏伟,白勇,等.基于复杂网络理论的装备保障网络实证研究[J].装备学院学报,2014,25(1):83-87.ZHANG Y,YANG H W,BAI Y,et al.An empirical study on the equipment support network based on complex networks[J].Journal of Academy of Equipment,2014,25(1):83-87(in Chinese).
[27] SHERBROOKE C C.Optimal inventory modeling of systems:Multi-echelon techniques[M].2nd ed.Boston:John Wiley & Sons,2004:48-57.

基于三站点库存组织的备件转运策略分析

Spares transshipment strategy analysis based on a three-site inventory system

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	刘朝霞, 孙宇锋, 轩杰, 许智宏, 赵广燕. 考虑多因素的可修系统任务可靠性分配方法[J]. 北京航空航天大学学报, 2019, 45(4): 834-840.
[2]	董骁雄, 陈云翔, 项华春, 白洋. 基于SST和Bayes的初始备件需求确定方法[J]. 北京航空航天大学学报, 2018, 44(2): 316-321.
[3]	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.
[4]	蔡芝明, 金家善, 陈砚桥. 非稳态及多约束下多层级系统器材配置优化方法[J]. 北京航空航天大学学报, 2017, 43(1): 36-46.
[5]	蔡芝明, 金家善, 陈砚桥. 多约束下备件多层多级库存优化模型[J]. 北京航空航天大学学报, 2016, 42(7): 1494-1501.
[6]	宋常浩, 郭霖瀚, 王乃超, 马麟. 考虑passivation的备件库存时变凸优化[J]. 北京航空航天大学学报, 2016, 42(5): 1025-1031.
[7]	张永强, 徐宗昌, 呼凯凯, 胡春阳. k/N系统维修时机与备件携行量联合优化[J]. 北京航空航天大学学报, 2016, 42(10): 2189-2197.
[8]	樊九九, 郭霖瀚, 杨懿, 马麟. 考虑维修效能的修理级别优化[J]. 北京航空航天大学学报, 2015, 41(2): 351-357.
[9]	蔡芝明, 金家善, 陈砚桥. 混合约束下随船备件配置优化方法[J]. 北京航空航天大学学报, 2015, 41(12): 2340-2347.
[10]	卞洁辉, 郭霖瀚, 康锐, 杨懿. 虚警影响下的备件库存优化[J]. 北京航空航天大学学报, 2014, 40(3): 413-416.
[11]	赵建忠, 徐廷学, 葛先军, 尹延涛. 基于小波变换和GM-ARMA的导弹备件消耗预测[J]. 北京航空航天大学学报, 2013, 39(4): 553-558.
[12]	王睿, 李庆民, 阮旻智, 彭英武. 基于作战单元任务成功性的可修复备件优化[J]. 北京航空航天大学学报, 2012, 38(8): 1040-1045.
[13]	毛德耀, 周栋, 文培乾, 吕川. 基于PHM的军机备件配置机制[J]. 北京航空航天大学学报, 2011, 37(9): 1160-1164.
[14]	肖波平, 康锐, 王乃超. 民机初始备件方案的优化[J]. 北京航空航天大学学报, 2010, 36(9): 1057-1061.
[15]	程海龙, 康锐, 韦艺, 曲丽丽. 备件满足率与备件短缺量对比分析[J]. 北京航空航天大学学报, 2008, 34(05): 580-583.