Research on Multi-level Inventory Optimization Algorithm of Repairable Spare Parts Based on Two Improved Differential Evolution

doi:10.3901/JME.2020.14.245

Abstract

Abstract: In view of the low quality of the traditional marginal analysis method to solve the multi-level repairable spare parts inventory model, two improved differential evolution algorithms are proposed to solve the model, one is the improved differential evolution algorithm with local search, the other is the improved differential evolution algorithm based on the marginal analysis method. The two algorithms run 20 times respectively, and the upper limit of each iteration is set to 5 000 times, and the same optimal solution is obtained. Compared with the optimal solution obtained by marginal analysis method in published literature, the total inventory cost is reduced by 4.44%, which shows that the two algorithms have certain advantages. In addition, the improved differential evolution algorithm based on the marginal analysis method has obvious advantages over the improved differential evolution algorithm with local search, among which the average value of total inventory cost is 2.41%, the standard deviation of total inventory cost is 63.8% and the average number of iterations is 38.7%. It shows that the improved differential evolution algorithm based on the marginal analysis method has three advantages：optimization level, algorithm stability and algorithm calculation efficiency. It is better than the improved differential evolution algorithm with local search.

Key words: repairable spare parts, multilevel inventory, marginal analysis method, improved differential evolution algorithms

CLC Number:

TG156

GU Tao, LI Sujian. Research on Multi-level Inventory Optimization Algorithm of Repairable Spare Parts Based on Two Improved Differential Evolution[J]. Journal of Mechanical Engineering, 2020, 56(14): 245-253.

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http://www.cjmenet.com.cn/EN/Y2020/V56/I14/245

References

[1] 张连武. 维修器材保障及关键技术现状调研报告[R]. 北京:北京科技大学, 2019. ZHANG Lianwu. Research report on maintenance equipment support and key technology status[R]. Beijing:Beijing University of Science and Technology, 2019.
[2] SHERBROOKE C C. Metric:A multi-echelon technique for recoverable item control[J]. Operations Research, 1968, 16(1):122-141.
[3] SHERBROOKE C C. Vari-metric:Improved appro-ximations for multi-indenture, multi-echelon availability models[J]. Operations Research, 1986, 34(2):311-319.
[4] 孙江生, 李苏剑, 吕艳梅, 等. 武器贵重备件三级库存模型仿真研究[J]. 兵工学报, 2008, 29(7):854-858. SUN Jiangsheng, LI Sujian, LÜ Yanmei, et al. Simulation research on three-level inventory model of valuable weapon spare parts[J]. Journal of Military Engineering, 2008, 29(7):854-858
[5] XU Juan, ZUO Hongfu, SUN Lei. A multi-item, multi-echelon inventory allocation model for aircraft spare parts based on VARI-METRIC[J]. Information Technology Journal. 2014, 13(13):2218-2223.
[6] RUAN Minzhi, LI Hua, FU Jian. System optimization-oriented spare parts dynamic configuration model for multi-echelon multi-indenture system[J]. Journal of Systems Engineering and Electronics, 2017, 28(5):923-933.
[7] RICCARDO P, COSTANTINO F, GRAVIO G D. Inventory model for a multi-echelon system with unidirectional lateral transshipment[J]. Expert Systems with Applications, 2016, 65:372-382.
[8] 刘任洋, 李庆民, 李华, 等. 多指标约束下考虑报废的可修复备件携行方案优化[J]. 航空学报, 2016, 37(10):3131-3139. LIU Renyang, LI Qingmin, LI Hua, et al. Optimization of carrying scheme of repairable spare parts under multi index constraints[J]. Journal of Aeronautics, 2016, 37(10):3131-3139
[9] 薛陶, 冯蕴雯, 秦强. 考虑报废的K/N冷备份冗余系统可修复备件优化[J]. 华南理工大学学报, 2014, 42(1):41-46. XUE Tao, FENG Yunwen, QIN Qiang. Repairable spare parts optimization of K/N cold backup redundancy system considering scrap[J]. Journal of South China University of Technology, 2014, 42(1):41-46.
[10] 张怀强, 卢远超, 王孟. 基于故障率的舰艇维修备品备件优化配置[J]. 火力与指挥配置, 2019, 44(5):17-21. ZHANG Huaiqiang, LU Yuanchao, WANG Meng. Optimal configuration of spare parts for ship maintenance based on failure rate[J]. Firepower and Command Con-figuration, 2019, 44(5):17-21.
[11] STORN R, PRICE K. Differential evolution:A simple and efficient heuristic for global optimization over con-tinuous spaces[J]. Journal of Global Optimization, 1997, 11(4):341-359.
[12] 宁桂英, 曹敦虔, 周永权. 求解0-1规划问题的改进差分进化算法[J]. 系统科学与数学, 2019, 39(1):120-132. NING Guiying, CAO Dunqian, ZHOU Yongquan. Improved differential evolution algorithm for solving 0-1 programming problem[J]. Systems Science and Mathematics, 2019, 39(1):120-132.
[13] KAMAL M, INEL M. Optimum design of reinforced concrete continuous foundation using differential evolution algorithm[J]. Arabian Journal for Science and Engineering, 2019, 44(1):8401-8415.
[14] MASON K, DUGGAN J, HOWLEY E. Evolving multi-objective neural networks using differential evolution for dynamic economic emission dispatch[C]//The Genetic and Evolutionary Computation Conference Companion. ACM, 2017.
[15] ZHANG Lixia, ZENG Guangping, WEI Jinjin. Adaptive region-segmentation multi-focus image fusion based on differential evolution[J]. International Journal of Pattern Recognition and Artificial Intelligence, 2019, 33(3):1954010.
[16] IBRAHIM R A, ELAZIZ M A, LU S. Chaotic opposition-based grey-wolf optimization algorithm based on differential evolution and disruption operator for global optimization[J]. Expert Systems with Applications, 2018, 108(15):1-27.
[17] 张帅, 滕克难, 肖飞. 基于Vari-Metric的舰载机可修复件库存配置模型[J]. 火力与指挥控制, 2015(9):157-162. ZHANG Shuai, TENG Kenan, XIAO Fei. Inventory allocation model of repairable parts for shipboard aircraft based on vari metric[J]. Fire and Command Control, 2015, 40(9):157-162.
[18] 周伟, 刘亚杰, 郭波, 等. 基于两级供应关系的武器装备贵重件初始配置模型[J]. 系统工程理论与实践, 2011, 31(6):1056-1061. ZHOU Wei, LIU Yajie, GUO Bo, et al. The initial configuration model of weapon equipment valuables based on two-level supply relationship[J]. System Engin-eering Theory and Practice, 2011, 31(6):1056-1061.
[19] QIN A K, HUANG V L, SUGANTHAN P N. Differential evolution algorithm with strategy adaptation for global numerical optimization[J]. IEEE Transactions on Evolutionary Computation, 2009, 13(2):398-417.
[20] 阮旻智, 彭英武, 李庆民, 等. 基于体系保障度的装备备件三级库存方案优化[J]. 系统工程理论与实践, 2012, 32(7):1623-1630. RUAN Minzhi, PENG Yingwu, LI Qingmin, et al. Optimization of three-level inventory plan of equipment spare parts based on system support degree[J]. System Engineering Theory and Practice, 2012, 32(7):1623-1630.