固体力学与飞行器总体设计

考虑多类维修优先权的多级维修供应系统库存控制

  • 徐立 ,
  • 李庆民 ,
  • 李华
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  • 1. 海军工程大学 兵器工程系, 武汉 430033;
    2. 海军工程大学 科研部, 武汉 430033
徐立 男, 博士研究生。主要研究方向: 装备综合保障、保障资源规划。Tel: 027-65461581-7402 E-mail: xuli123948@163.com;李庆民 男, 博士, 教授, 博士生导师。主要研究方向: 装备综合保障、海军水中兵器对抗仿真与试验。Tel: 027-65461581-7402 E-mail: licheng0001@hotmail.com;李华 男, 博士, 副教授, 博士生导师。主要研究方向: 装备综合保障仿真技术。Tel: 027-65461581-7402 E-mail: akbng094nba@163.com

收稿日期: 2014-05-29

  修回日期: 2014-09-16

  网络出版日期: 2014-09-22

基金资助

国防预研项目 (51304010206, 51327020105)

Inventory control of multi-echelon maintenance supply system with multiple repair priorities

  • XU Li ,
  • LI Qingmin ,
  • LI Hua
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  • 1. Department of Weaponry Engineering, Naval University of Engineering, Wuhan 430033, China;
    2. Office of Research and Development, Naval University of Engineering, Wuhan 430033, China

Received date: 2014-05-29

  Revised date: 2014-09-16

  Online published: 2014-09-22

Supported by

National Defense Pre-research Foundation (51304010206, 51327020105)

摘要

备件筹措与保障站点的维修能力和故障件维修机制密切相关。在经典VARI-METRIC模型上,拓宽了模型中"无限维修总体"和"先到先修"的假设条件,基于排队理论,考虑维修优先权对维修过程的影响,对故障件的维修周转时间进行了修正,建立了具有多类维修优先权的备件初始库存优化模型。构造了多站点优先权分配的目标函数,采用智能优化算法对优先权分配方案进行了优化;根据所得方案,采用边际优化算法进行了备件库存优化,提出了采用智能优化算法和边际优化算法对优先权分配方案和备件库存进行分步优化的方法,并开展了算法复杂度分析。算例分析表明,考虑优先权的备件配置方案在满足各项保障效能指标的同时,显著降低了备件购置费用;分步优化的方法在有效降低运算时间提高计算效率的同时保持了一定的计算精度。提出的模型和优化方法能够为装备保障人员制定合理的保障方案提供决策支持。

本文引用格式

徐立 , 李庆民 , 李华 . 考虑多类维修优先权的多级维修供应系统库存控制[J]. 航空学报, 2015 , 36(4) : 1185 -1194 . DOI: 10.7527/S1000-6893.2014.0262

Abstract

The preparation of spare parts is closely related to the maintenance mechanism during the process of maintenance and support. Based on the traditional VARI-METRIC model, the assumption for infinite repair channel and first-come first-served service is relaxed. Considering the influence of multiple repair priorities for failure parts during the maintenance process, the computational model for average time is modified according to queuing system theory and the multi-echelon multi-indenture initial stock distribution model under repair priorities is established. The goal function for priority assignment is proposed and then the priority assignment project for each support site is optimized by intelligent optimization algorithm. Based on this, the spare parts' inventory is optimized by marginal analysis algorithm. Consequently, the method of sequential priority assignment and stock optimization is proposed and then algorithm complexity is carried out. In a given example, a proper priority setting may lead to a significant reduction in the inventory investment required to attain the system support efficiency; the proposed sequential optimization method can significantly reduce the computation time when the accuracy is achieved. The proposed model and optimization method have a strong sense for equipment support staff to develop rational support programs.

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): 122-141.
[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] Sherbrooke C C. Optimal inventory modeling of system: multi-echelon techniques[M]. 2nd ed. Boston: Artech House, 2004.
[6] Rustenburg W D, van Houtum G J, Zijm W H M. Spare parts management at complex technology-based organizations: an agenda for research[J]. International Journal of Production Economics, 2001, 71(1-3): 177-193.
[7] Francesco C, Giulio D G, Massimo T. Multi-echelon, multi-indenture spare parts inventory control subject to system availability and budget constraints[J]. Reliability Engineering and System Safety, 2013, 119(11): 95-101.
[8] Kimt J S, Shin K C, Yu H K. Optimal algorithm to determine the spare inventory level for a repairable-item inventory system[J]. Computers Operations Research, 1996, 23(3): 289-297.
[9] 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(3):480-492.
[10] Sleptchenko A, van der Heijden M C, van Harten A. Effects of finite repair capacity in multi-echelon, multi-indenture service part supply systems[J]. International Journal of Production Economics, 2002, 79(3): 209-230.
[11] Ruan M Z, Li Q M, Huang A L, et al. Inventory control of multi-echelon maintenance supply under finite repair channel constraint[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(11): 2018-2027 (in Chinese). 阮旻智, 李庆民, 黄傲林, 等. 有限维修渠道约束下多级维修供应系统库存控制[J]. 航空学报, 2012, 33(11): 2018-2027.
[12] van der Heijden M C, van Harten A, Sleptchenko S.Approximations for Markovian multi-class queues with preemptive priorities[J].Operations Research Letters, 2004,32(3): 273-282.
[13] 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.
[14] Adan I J B F, Sleptchenko A, van Houtum G J. Reducing cost of spare parts supply system via static priorities[J]. Asia-Pacific Journal of Operational Research, 2009, 26(4): 559-585.
[15] Tiemessen H G H,van Houtum G J. Reducing costs of repair spare parts supply systems via scheduling, BETA Working Paper Series[R]. Enscheda: Eindhoven University of Technology, 2010.
[16] Caggiano K E, Muckstadt J A, Rappold J A. Integrated real-time capacity and inventory allocation for reparable service parts in a two-echelon supply system[J].Manufacturing and Service Operations Management,2006,8(3): 292-319.
[17] Sleptchenko A, Selen J, Adan I, et al. Joint queue length distribution of multi-class, single-sever queues with preemptive priorities, EURANDOM Report 2004-045[R]. Eindhoven: Technische Universiteit Eindhoven, 2004.
[18] Xia G Q, Chen H Z. Operational availability oriented inventory model for repairable spare parts of embarked air-wings[J]. Journal of Harbin Engineering University, 2013, 34(1): 1-6 (in Chinese). 夏国清, 陈红召. 面向使用可用度的舰载机可修备件库存模型[J]. 哈尔滨工程大学学报, 2013, 34(1): 1-6.
[19] Luo Y, Ruan M Z, Yuan Z Y. Modeling and optimization of repairable spare parts under the multi-echelon maintenance supply[J]. Systems Engineering—Theory and Practice, 2013, 33(10): 2623-2630 (in Chinese). 罗祎, 阮旻智, 袁志勇. 多级维修供应下可修复备件库存建模与优化[J]. 系统工程理论与实践, 2013, 33(10): 2623-2630.

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