Volume 42 Issue 5
May  2016
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SONG Changhao, GUO Linhan, WANG Naichao, et al. Time-varying convex optimization for spare parts inventory considering passivation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(5): 1025-1031. doi: 10.13700/j.bh.1001-5965.2015.0327(in Chinese)
Citation: SONG Changhao, GUO Linhan, WANG Naichao, et al. Time-varying convex optimization for spare parts inventory considering passivation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(5): 1025-1031. doi: 10.13700/j.bh.1001-5965.2015.0327(in Chinese)

Time-varying convex optimization for spare parts inventory considering passivation

doi: 10.13700/j.bh.1001-5965.2015.0327
  • Received Date: 21 May 2015
  • Publish Date: 20 May 2016
  • 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.

     

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  • [1]
    SHERBROOKE C C.METRIC:A multi-echelon technique for recoverable item control[J].Operations Research,1968,16(2):122-141.
    [2]
    郭峰,刘臣宇,李元垒.基于边际分析法的可修复备件最优库存研究[J].价值工程,2010,29(14):95-96. GUO F,LIU C Y,LI Y L.Optimal inventory research of repairable spares based on marginal analysis method[J].Value Engineering,2010,29(14):95-96(in Chinese).
    [3]
    GRAVES S.A multi-echelon inventory model for a repairable item with one-for-one replenishment[J].Management Science,1985,3l(10):1247-1256.
    [4]
    MUCKSTADT J.A model for multi-item,multi-echelon,multi-indenture inventory system[J].Management Science,1973,20(4):472-481.
    [5]
    DIAZ A,FU M C.Models for multi-echelon repairable item inventory systems with limited repair capacity[J].European Journal of Operational Research,1997,97(1):480-492.
    [6]
    LAU H C,SONG H.Two-echelon repairable item inventory system with limited repair capacity under non-stationary demands[C]//Proceedings of 35th Meeting of the Decision Sciences Institute (DSI).Boston:Research Collection School of Information Systems,2004,11:1901-1908.
    [7]
    SLEPTCHENKO A,VAN DER HEIJDEN M C,VAN HARTEN A.Using repair priorities to reduce stock investment in spare part networks[J].European Journal of Operational Research,2005,163(3):733-750.
    [8]
    LAU H C,SONG H,SEE C T,et al.Evaluation of time-varying availability in multi-echelon spare parts systems with passivation[J].European Journal of Operational Research,2006,170(1):91-105.
    [9]
    HILLESTAD R J.Dyna-METRIC:Dynamic multi-echelon technique for recoverable item control[M].3rd ed.Santa Monica,CA:Rand Corporation,1982:61-71.
    [10]
    SLAY F M,BACHMAN T C,KLINE R C,et al.Optimizing spares support,the aircraft sustainability model:ADA320502[R].Mclean,VA:Logistics Management Institute,1996:1-19.
    [11]
    张衡,花兴来,许绍杰.可修复备件系统库存决策仿真优化模型[J].系统工程与电子技术,2009,31(6):1510-1514. ZHANG H,HUA X L,XU S J.Simulation optimization model of inventory decision for repairable spares systems[J].Systems Engineering and Electronics,2009,31(6):1510-1514(in Chinese).
    [12]
    SARANGA H,KUMAR U D.Optimization of aircraft maintenance/support infrastructure using genetic algorithms-level of repair analysis[J].Annals of Operations Research,2006,143(1):91-106.
    [13]
    NENES G,PANAGIOTIDOU S,TAGARAS G.Inventory management of multiple items with irregular demand:A case study[J].European Journal of Operational Research,2010,205(2):313-324.
    [14]
    CAGGIANO K E,JACKSON P L,MUCKSTADT J A,et al.Efficient computation of time-based customer service levels in a multi-item,multi-echelon supply chain:A practical approach for inventory optimization[J].European Journal of Operational Research,2009,199(3):744-749.
    [15]
    CARRILLO M J.Note-Extensions of Palm's theorem:A review[J].Management Science,1991,37(6):739-744.
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