Time-varying convex optimization for spare parts inventory considering passivation

被引:0
|
作者
Song C. [1 ]
Guo L. [1 ]
Wang N. [1 ]
Ma L. [1 ]
机构
[1] School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing
基金
中国国家自然科学基金;
关键词
Convex optimization; Instantaneous availability; Inventory; Passivation; Spare parts;
D O I
10.13700/j.bh.1001-5965.2015.0327
中图分类号
学科分类号
摘要
Taking passivation into consideration, we apply a time-varying inventory balance equation to setting up the time-varying backorder formula and use the extended Palm theorem to combine the cumulative demands for spare parts with the parameters of the shape characteristics of Poisson processes to create a convex optimization algorithm for spares considering the cumulative demands. Next, we use time-varying availability as the optimization objective under a cost constraint to obtain the optimal configuration program in every period by convex optimization methods. A selection rule known as the mode method is introduced to select the proper global stock policy. Finally, a numerical example is presented to demonstrate the approach, and several inventory policies are compared to prove the superiority of the proposed method. © 2016, Editorial Board of JBUAA. All right reserved.
引用
收藏
页码:1025 / 1031
页数:6
相关论文
共 15 条
  • [1] Sherbrooke C.C., METRIC: A multi-echelon technique for recoverable item control, Operations Research, 16, 2, pp. 122-141, (1968)
  • [2] Guo F., Liu C.Y., Li Y.L., Optimal inventory research of repairable spares based on marginal analysis method, Value Engineering, 29, 14, pp. 95-96, (2010)
  • [3] Graves S., A multi-echelon inventory model for a repairable item with one-for-one replenishment, Management Science, 31, 10, pp. 1247-1256, (1985)
  • [4] Muckstadt J., A model for multi-item, multi-echelon, multi-indenture inventory system, Management Science, 20, 4, pp. 472-481, (1973)
  • [5] Diaz A., Fu M.C., Models for multi-echelon repairable item inventory systems with limited repair capacity, European Journal of Operational Research, 97, 1, pp. 480-492, (1997)
  • [6] Lau H.C., Song H., Two-echelon repairable item inventory system with limited repair capacity under non-stationary demands, Proceedings of 35th Meeting of the Decision Sciences Institute (DSI), 11, pp. 1901-1908, (2004)
  • [7] Sleptchenko A., Van Der Heijden M.C., Van Harten A., Using repair priorities to reduce stock investment in spare part networks, European Journal of Operational Research, 163, 3, pp. 733-750, (2005)
  • [8] Lau H.C., Song H., See C.T., Et al., Evaluation of time-varying availability in multi-echelon spare parts systems with passivation, European Journal of Operational Research, 170, 1, pp. 91-105, (2006)
  • [9] Hillestad R.J., Dyna-METRIC: Dynamic Multi-echelon Technique for Recoverable Item Control, pp. 61-71, (1982)
  • [10] Slay F.M., Bachman T.C., Kline R.C., Et al., Optimizing Spares Support, the Aircraft Sustainability Model, pp. 1-19, (1996)