Integrated optimization on both vehicle filling and routing for van truck transportation
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摘要: 通过引入剩余空间及其相关作业, 建立了基于剩余空间的厢式货车配载与配送联合优化的混合整数规划模型, 提出了一种由C-W节约算法与基于剩余空间的装箱算法有机结合的交互式算法, 并分别与配载优先及配送优先的单独优化进行了对照仿真试验。试验结果表明: 在总目标函数方面, 联合优化比配载优先与配送优先的单独优化分别提高了40.8%与18.2%, 所提出的模型及算法有效。Abstract: By means of introducing the residual space and its correlative operations, a mixed integer programming model was proposed based on the integrated optimization on both vehicle filling problem (VFP) and vehicle routing problem (VRP) for van truck.A new interactive algorithm was designed which combined C-W saving algorithm with packing algorithm based on residual space, and simulation tests were compared.Test result shows that the total objective function of the integrated optimization increases by 40.8% and 18.2% compared with two kinds of separate optimization instances, which preferentially consider VFP and VRP respectively, so the integrated optimized model and its algonithm are valid.
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Key words:
- logistics engineering /
- residual space /
- VFP /
- VRP /
- integrated optimization /
- interactive algorithm
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表 1 联合优化与配载优先的单独优化结果比较
Table 1. Comparison of integrated optimization and filling first tactic
组号 货物数量 算法 运输距离节省比率 空间利用率 总目标函数 1 380 联合优化 0.573 9 0.739 1 0.606 9 随机配送顺序下的装箱优化 0.332 4 0.733 9 0.410 7 2 239 联合优化 0.573 4 0.782 2 0.615 2 随机配送顺序下的装箱优化 0.377 2 0.743 6 0.450 4 3 320 联合优化 0.583 4 0.727 4 0.612 2 随机配送顺序下的装箱优化 0.271 0 0.717 0 0.360 2 4 235 联合优化 0.595 9 0.813 9 0.638 8 随机配送顺序下的装箱优化 0.321 7 0.803 4 0.418 0 5 345 联合优化 0.377 2 0.615 5 0.363 3 随机配送顺序下的装箱优化 0.214 9 0.510 0 0.273 9 6 296 联合优化 0.621 2 0.804 3 0.657 8 随机配送顺序下的装箱优化 0.363 5 0.733 6 0.437 6 7 253 联合优化 0.566 4 0.803 4 0.613 8 随机配送顺序下的装箱优化 0.267 2 0.797 8 0.373 3 8 230 联合优化 0.603 8 0.798 6 0.642 8 随机配送顺序下的装箱优化 0.450 8 0.791 4 0.518 9 9 263 联合优化 0.574 2 0.802 3 0.539 6 随机配送顺序下的装箱优化 0.370 2 0.792 7 0.454 7 10 244 联合优化 0.565 4 0.809 8 0.533 2 随机配送顺序下的装箱优化 0.351 5 0.788 1 0.438 8 均值 280 联合优化 0.563 5 0.769 7 0.582 4 随机配送顺序下的装箱优化 0.403 0 0.741 2 0.413 7 表 2 联合优化与配送优先的单独优化结果比较
Table 2. Comparison of integrated optimization and routing first tactic
组号 货物数量 算法 运输距离节省比率 空间利用率 总目标函数 1 380 联合优化 0.573 9 0.739 1 0.606 9 装箱优先规则下的线路优化 0.384 6 0.583 9 0.424 4 2 239 联合优化 0.573 4 0.782 2 0.615 2 装箱优先规则下的线路优化 0.426 1 0.558 6 0.452 6 3 320 联合优化 0.583 4 0.727 4 0.612 2 装箱优先规则下的线路优化 0.528 4 0.545 9 0.531 9 4 235 联合优化 0.595 9 0.813 9 0.638 8 装箱优先规则下的线路优化 0.496 8 0.611 6 0.519 7 5 345 联合优化 0.377 2 0.615 5 0.363 3 装箱优先规则下的线路优化 0.328 2 0.534 5 0.262 5 6 296 联合优化 0.621 2 0.804 3 0.657 8 装箱优先规则下的线路优化 0.509 0 0.722 9 0.551 8 7 253 联合优化 0.566 4 0.803 4 0.613 8 装箱优先规则下的线路优化 0.561 5 0.714 3 0.592 1 8 230 联合优化 0.603 8 0.798 6 0.642 8 装箱优先规则下的线路优化 0.524 4 0.669 7 0.553 5 9 263 联合优化 0.574 2 0.802 3 0.539 6 装箱优先规则下的线路优化 0.494 4 0.698 3 0.535 2 10 244 联合优化 0.565 4 0.809 8 0.533 2 装箱优先规则下的线路优化 0.540 3 0.705 6 0.502 8 均值 280 联合优化 0.563 5 0.769 7 0.582 4 装箱优先规则下的线路优化 0.479 4 0.634 5 0.492 7 -
[1] 汪祖柱, 程家兴, 方宏兵, 等. 车辆路径问题的混合优化算法[J]. 运筹与管理, 2004, 13 (6): 48-52. doi: 10.3969/j.issn.1007-3221.2004.06.011WANG Zu-zhu, CHENG Jia-xing, FANG Hong-bing, et al. A hybrid optimization algorithm solving vehicle routing problems[J]. Operations Research and Management Science, 2004, 13 (6): 48-52. (in Chinese) doi: 10.3969/j.issn.1007-3221.2004.06.011 [2] 廖洁君, 陈燕. 城市物流中多目标配送模型[J]. 大连海事大学学报, 2004, 30 (4): 82-85. doi: 10.3969/j.issn.1006-7736.2004.04.022LIAO Jie-jun, CHEN Yan. Research on multi-aims model of city distribute[J]. Journal of Dalian Maritime University, 2004, 30 (4): 82-85. (in Chinese) doi: 10.3969/j.issn.1006-7736.2004.04.022 [3] 张潜, 高立群, 胡祥培, 等. 物流配送路径多目标优化的聚类-改进遗传算法[J]. 控制与决策, 2003, 18 (4): 418-422. doi: 10.3321/j.issn:1001-0920.2003.04.007ZHANG Qian, GAO Li-qun, HU Xiang-pei, et al. Research on multi-objective vehicle routing problem of optimization based on clustering analysis and improved genetic algorithm[J]. Control and Decision, 2003, 18 (4): 418-422. (in Chinese) doi: 10.3321/j.issn:1001-0920.2003.04.007 [4] ENRIQUE A, BERNABE D. Computing nine new best-so-far solutions for capacitated VRP with a cellular genetic algorithm[J]. Information Processing Letters, 2006, 98 (6): 225-230. doi: 10.1016/j.ipl.2006.02.006 [5] ALI H, SOOJUNG J. A dynamic vehicle routing problem with time-dependent travel times[J]. Computers & Operations Research, 2005, 32 (11): 2959-2986. [6] 姜义东, 查建中, 何大勇. 集装箱装载矩形货物的布局研究[J]. 铁道学报, 2000, 22 (6): 13-18. doi: 10.3321/j.issn:1001-8360.2000.06.003JIANG Yi-dong, CHA Jian-zhong, HE Da-yong. Research on the packing of loading rectangular freight into a container[J]. Journal of the China Rail way Society, 2000, 22 (6): 13-18. (in Chinese) doi: 10.3321/j.issn:1001-8360.2000.06.003 [7] GEORGE J A. A method for solving container packing for a single size of box[J]. Journal of the Operational Research Society, 1992, 43 (4): 307-312. doi: 10.1057/jors.1992.45 [8] NGOI B K A, TAY M L, CHUA E S. Applying spatial presentation techniques to the container packing problem[J]. International Journal of Production Research, 1994, 32 (1): 111-123. doi: 10.1080/00207549408956919 [9] HUANG Wen-qi, HE Kun. A new heuristic algorithm for cuboids packing with no orientation constraints[J]. Computers & Operations Research, 2009, 36 (2): 425-432. [10] JIN Zhi-hong, OHNO K, DU Jia-li. An efficient approach for the three-dimensional container packing problem with practical constraints[J]. Asia-Pacific Journal of Operational Research, 2004, 21 (2): 1-17. [11] 靳志宏, 伊藤崇博, 大野胜久. 三次元箱诘め问题のアニりンダにょる实用解法[J]. 日本经营工学会志, 2002, 53 (3): 220-227.JIN Zhi-hong, ITO T, OHNO K. A sub-volume based simulated annealing algorithm for the three-dimensional container packing problem[J]. Journal of Japan Industrial Management Association, 2002, 53 (3): 220-227. [12] 李勇, 叶世杰, 王勇, 等. VFP & VRP联合优化模型及其多目标遗传算法[J]. 系统工程学报, 2006, 21 (5): 529-533. doi: 10.3969/j.issn.1000-5781.2006.05.014LI Yong, YE Shi-jie, WANG Yong, et al. Multi-objective genetic algorithm for joint optimizing model of VRP and VFP[J]. Journal of Systems Engineering, 2006, 21 (5): 529-533. (in Chinese) doi: 10.3969/j.issn.1000-5781.2006.05.014 [13] 靳志宏, 朴惠淑, 杨华龙. 集装箱多式联运系统装卸与运输一体化优化问题[J]. 系统工程, 2005, 23 (11): 1-6. https://www.cnki.com.cn/Article/CJFDTOTAL-GCXT200511000.htmJIN Zhi-hong, PIAO Hui-shu, YANG Hua-long. Optimization of co-ordinated container loading and transportation in the multimodal transportation system[J]. Systems Engineering, 2005, 23 (11): 1-6. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-GCXT200511000.htm [14] 靳志宏, 计明军, 朴惠淑. 集装箱多式联运系统拼箱集运优化问题[J]. 系统工程, 2006, 24 (增1): 71-74.JIN Zhi-hong, JI Ming-jun, PIAO Hui-shu. The optimization problem of container packing in the multimodal transportation system[J]. Systems Engineering, 2006, 24 (S1): 71-74. (in Chinese) -