Robusth location model of enterprise logistics center
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摘要: 借鉴稳健设计的基本思想, 运用随机机会约束规划方法, 建立了需求和制造中心加工量不确定条件下的企业分销物流中心的稳健性选址模型, 该模型通过将不确定条件下选址分派费用的波动均方差融入目标函数以实现选址稳健性目标。分析了该类模型的处理方法, 探讨了基于组合遗传算法的模型求解思路, 并通过算例进行了验证。分析结果表明: 与普通模型相比, 该模型在整个规划期内选址分派费用的波动均方差降低31.5%, 物流网络稳健性显著提高, 该模型合理有效。Abstract: Based on the idea of robust design and stochastic chance constrained programming mehtod, a robust location model of enterprise distribution logistics centers was constructed under the uncertain conditions of customer's demand and manufacture center's processing amount, and the standard error of location allocating cost was integrated into object function to achieve robust location. The solving method of the model was discussed, and the programming thinking based on combination genetic algorithm was expounded. The model and its algorithm were validated by an example. Analysis result indicates that compared with normal model, the standard error of robust location model allocating cost reduces by 31.5%, and logistics network robustness enhances evidently, so the model is rational and valid.
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表 1 节点数据
Table 1. Node data
参数 加工量λh/(件·d-1) 需求λi/(件·d-1) 纬度 经度 固定设施费用/元 流转费率/(元·件-1) 制造中心1 3 198 116.17 39.37 制造中心2 2 153 119.65 31.56 需求地1 369 116.47 39.90 330 439 2.45 需求地2 180 123.38 41.80 需求地3 82 125.30 43.92 ⋮ 需求地32 84 117.03 31.85 注: 节点间距离可通过经纬度数据换算获得。 表 2 求解结果比较
Table 2. Comparison of sloving results
模型 普通模型 稳健性模型 选址方案 1、11、20、27 1、11、19、27 目标值/元 26 262 434.878 1 26 350 801.295 1 总费用/元 26 260 578.145 6 26 349 529.162 8 分派费用的波动均方差/元 1 856.732 5 1 272.132 3 -
[1] 周根贵, 沈雁飞. 基于时间满意度的物流配送中心选址问题研究[J]. 浙江工业大学学报, 2008, 36(4): 355-358. https://www.cnki.com.cn/Article/CJFDTOTAL-ZJGD200804002.htmZHOU Gen-gui, SHEN Yan-fei. Research on logistics siting problemin logistic distribution center based on ti me satisfaction[J]. Journal of Zhejiang University of Technology, 2008, 36(4): 355-358. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZJGD200804002.htm [2] 宣登殿, 胡大伟, 蔺宏良. 基于GIS的城市物流配送系统规划方法[J]. 长安大学学报: 自然科学版, 2006, 26(2): 84-87. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200602020.htmXUAN Deng-dian, HU Da-wei, LI N Hong-lang. Planning method of city logistics delivery system based on GIS[J]. Journal of Chang an University: Natural Science Edition, 2006, 26(2): 84-87. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200602020.htm [3] 李卫江, 郭晓汾, 张毅, 等. 基于Matlab优化算法的物流中心选址[J]. 长安大学学报: 自然科学版, 2006, 26(3): 76-79. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200603019.htmLI Wei-jiang, GUO Xiao-fen, ZHANG Yi, et al. Logistics center location based on Matlab opti mization algorithm[J]. Journal of Chang'an University: Natural Science Edition, 2006, 26(3): 76-79. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XAGL200603019.htm [4] 章海峰, 郝春艳, 杨超. 带三重容量限制的中转物流选址-分配模型[J]. 管理工程学报, 2008, 22(1): 62-66. https://www.cnki.com.cn/Article/CJFDTOTAL-GLGU200801012.htmZHANG Hai-feng, HAO Chun-yan, YANG Chao. Location allocation problem of transfer logistics with three capacity constraints[J]. Journal of Industrial Engineering and Engineering Management, 2008, 22(1): 62-66. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GLGU200801012.htm [5] 褚方鸿, 江宏. 海尔物流: 不断增强的核心竞争力[J]. 物流技术与应用, 2005, 10(7): 58-64. https://www.cnki.com.cn/Article/CJFDTOTAL-WLJY200507004.htmCHU Fang-hong, JI ANG Hong. Haier logistics: keep enhancingits core competence[J]. Logistics and Material Handling, 2005, 10(7): 58-64. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-WLJY200507004.htm [6] 陈立周, 于晓红, 翁海珊. 基于随机优化的工程稳健设计[J]. 北京科技大学学报, 1999, 21(1): 57-59. https://www.cnki.com.cn/Article/CJFDTOTAL-BJKD199901016.htmCHEN Li-zhou, YU Xiao-hong, WENG Hai-shan. Robust engineering design by stochastic optimization[J]. Journal of University of Science and Technology Beijing, 1999, 21(1): 57-59. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-BJKD199901016.htm [7] 刘宝碇, 赵瑞清. 不确定规划及进一步的研究问题[J]. 指挥技术学院学报, 1999, 10(6): 102-105. https://www.cnki.com.cn/Article/CJFDTOTAL-XYZH199906024.htmLI U Bao-ding, ZHAO Rui-qing. Uncertain programming and further research problems[J]. Journal of Institute of Command and Technology, 1999, 10(6): 102-105. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-XYZH199906024.htm [8] 田青. 离散制造企业物流网络设计方法研究[D]. 天津: 天津大学, 2003.TI AN Qing. Astudy on the approaches to logistics network design for discrete manufacturing enterprises[D]. Tianjin: Tianjin University, 2003. (in Chinese) -