• 论文 •

### 三站点备件供应保障关系建模与分析

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

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.