北京航空航天大学学报 ›› 2017, Vol. 43 ›› Issue (8): 1625-1631.doi: 10.13700/j.bh.1001-5965.2016.0709

• 论文 • 上一篇    下一篇

三站点备件供应保障关系建模与分析

张颖1, 王蕴2, 薛佩1   

  1. 1. 北京航空航天大学可靠性与系统工程学院, 北京 100083;
    2. 中国航天标准化与产品保证研究院, 北京 100071
  • 收稿日期:2016-09-05 修回日期:2016-10-14 出版日期:2017-08-20 发布日期:2016-11-14
  • 通讯作者: 王蕴 E-mail:ywang8_09@163.com
  • 作者简介:张颖,女,博士研究生。主要研究方向:备件库存方案分析与优化、综合保障工程等;王蕴,女,工程师。主要研究方向:保障效能分析、备件库存优化等。

Modeling and analysis of spares supply support relations among three stations

ZHANG Ying1, WANG Yun2, XUE Pei1   

  1. 1. School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
    2. China Academy of Aerospace Standardization and Product, Beijing 100071, China
  • Received:2016-09-05 Revised:2016-10-14 Online:2017-08-20 Published:2016-11-14

摘要: 就建模层面而言备件相关的现有研究在考虑横向保障时存在一定的不足。本文选取三站点组成的备件供应保障系统作为研究对象,通过引入站点间的备件供应保障关系实现了将站点间备件纵向保障和横向保障的综合考虑。运用定量化的概率值表征站点间的备件需求关系,基于库存平衡理论建立了应得备件数量、初始库存量、可用库存量和备件短缺数之间的关系表达式。在建立单站点库存平衡方程的基础上,又依据三站点间的供应保障关系联立得到了三站点备件延期交货量方程组。对方程组解的情况进行了分析,在确定其解唯一性的基础上基于压缩映射原理给出了方程组的迭代求解方法。对于简单示例进行了计算,验证了模型的正确性和求解方法的有效性。

关键词: 备件, 供应保障, 站点, 维修周转, 迭代算法

Abstract: For modeling, the existing spares-related researches have insufficient consideration of lateral transshipments. In this paper, the authors select a three-site inventory system as the research object, and by introducing spares supply support relationship between sites, longitudinal and lateral transshipments are considered at the same time. The quantitative probability values are used to represent the spares demand relationship between sites, and based on inventory balance theory, a relationship is established between the number of spares due in, the initial inventory, the number of spares on hand and the number of backorders. Based on the single-site inventory balance equations and the demand supply relations between sites, the three-site spare parts backorder equations are given. Then coefficients-matrix of the equations is found reversible and so the equations have only one unique solution. Then according to the principle of contractive mapping theory, an iterative method is used for solving the equations. Finally, an example is calculated to verify the fitness of the model and the validity of the solving method.

Key words: spares, supply support, station, repair turnaround, iteration algorithm

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