末端配送服务模式与路径联合优化
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杨京帅,杨玉娥,李嫚嫚,李园园
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Joint optimization of terminal distribution service mode and distribution routing
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Jing-shuai YANG,Yu-e YANG,Man-man LI,Yuan-yuan LI
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| 表 6 三种算法求解末端配送服务模式与路径联合优化模型的性能 |
| Tab.6 Performances of three algorithms to solve terminal distribution service mode and routing model |
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| 客户规模 | GUROBI | | 传统NSGA-Ⅱ | | 改进NSGA-Ⅱ | | ${C_4}$/元 | ${t_1}$/s | ${C_{\text{3}}}$/元 | ${t_2}$/s | $ {\rm{Ga}}{{\rm{p}}_1} $/% | ${C_1}$/元 | ${t_1}$/s | $ {\rm{Ga}}{{\rm{p}}_2} $/% | | 注：表中加粗数据为最优配送总成本. | | 5 | 328.14 | 0.62 | | 328.14 | 7.84 | 0.00 | | 328.14 | 7.95 | 0.00 | | 8 | 379.81 | 13.61 | 379.81 | 8.24 | 0.00 | 379.81 | 8.10 | 0.00 | | 10 | 427.52 | 1 907 | 427.52 | 7.04 | 0.00 | 427.52 | 11.17 | 0.00 | | 12 | 485.95 | 2 000 | 486.84 | 19.25 | 0.18 | 486.45 | 13.84 | 0.10 | | 15 | 691.84 | 2 000 | 693.03 | 11.78 | 0.17 | 691.35 | 15.45 | −0.07 | | 18 | 778.49 | 2 000 | 853.26 | 23.61 | 9.60 | 777.19 | 17.21 | −0.17 | | 20 | 862.31 | 2 000 | 867.34 | 21.92 | 0.58 | 864.72 | 32.60 | 0.28 | | 22 | 1 041.16 | 2 000 | 1 098.32 | 25.14 | 5.49 | 1 041.16 | 32.00 | 0.00 | | 25 | 1 141.36 | 2 000 | 1 192.04 | 64.77 | 4.44 | 1 139.30 | 75.75 | −0.18 | | 28 | 1 374.71 | 2 000 | 1 398.04 | 31.52 | 1.70 | 1 378.31 | 47.96 | 0.26 | | 30 | 1 400.46 | 2 000 | 1 424.48 | 47.63 | 1.72 | 1 401.65 | 91.76 | 0.09 | | 32 | 1 438.93 | 2 000 | 1 481.33 | 72.40 | 2.95 | 1 432.38 | 97.74 | −0.46 | | 35 | 1 568.04 | 2 000 | 1 658.35 | 81.48 | 5.76 | 1 549.90 | 91.25 | −1.16 | | 40 | − | − | 1 933.94 | 103.15 | − | 1 908.04 | 144.67 | − | | 60 | − | − | 2 857.98 | 114.22 | − | 2 768.94 | 198.44 | − | | 80 | − | − | 3 812.10 | 171.75 | − | 3 605.01 | 252.70 | − | | 100 | − | − | 4 922.93 | 230.35 | − | 4 712.09 | 292.69 | − |
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