China Safety Science Journal ›› 2023, Vol. 33 ›› Issue (8): 68-76.doi: 10.16265/j.cnki.issn1003-3033.2023.08.0038
• Safety engineering technology • Previous Articles Next Articles
WEI Ming1,2(), SUN Yaru1, SUN Bo1, WANG Shengjie2
Received:
2023-03-22
Revised:
2023-06-15
Online:
2023-10-08
Published:
2024-02-28
WEI Ming, SUN Yaru, SUN Bo, WANG Shengjie. UAV distribution route and flight path collaborative planning based on deep reinforcement learning[J]. China Safety Science Journal, 2023, 33(8): 68-76.
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URL: http://www.cssjj.com.cn/EN/10.16265/j.cnki.issn1003-3033.2023.08.0038
Tab.1
REINFORCE algorithm process
步骤 | 具体流程 |
---|---|
1 | 初始化具有随机权值θ的参与者网络,以及具有随机权值φ的评论家网络 |
2 | for迭代次数 = 1,2,…(设置迭代器) |
3 | 重置梯度: |
4 | 根据概率选择生成V个问题实例 |
5 | for v = 1,2,…,V,其中,v为实例序号 |
6 | 初始化决策计数器 |
7 | repeat: |
8 | 根据 选择 ,构造UAV配送线路规划问题的解 |
9 | 观察 |
10 | |
11 | until 客户集合I中所有客户点的需求均被满足 |
12 | 输入A*算法计算得到的UAV可飞路径相关参数 |
13 | 初始化UAV超出其续航能力运行记号 |
14 | if : |
15 | |
16 | end if |
17 | 计算实例v的奖励值 |
18 | end for |
19 | |
20 | |
21 | 根据步骤19、20梯度计算更新θ与φ |
22 | end for |
Tab.2
Customer information
客户(坐标) | 客户时间窗 | 需求/kg | 客户(坐标) | 客户时间窗 | 需求/kg |
---|---|---|---|---|---|
D1(0,27) | [06:03,06:08] | 1 | D16(14,5) | [06:01,06:06] | 1 |
D2(1,12) | [06:03,06:08] | 2 | D17(15,25) | [06:05,06:10] | 1 |
D3(1,4) | [06:05,06:10] | 1 | D18(16,13) | [06:00,06:05] | 2 |
D4(4,22) | [06:02,06:07] | 3 | D19(17,20) | [06:04,06:09] | 2 |
D5(5,18) | [06:05,06:10] | 1 | D20(18,17) | [06:05,06:10] | 1 |
D6(6,17) | [06:04,06:09] | 2 | D21(21,17) | [06:00,06:05] | 2 |
D7(7,11) | [06:06,06:11] | 1 | D22(22,21) | [06:03,06:08] | 1 |
D8(8,8) | [06:05,06:10] | 1 | D23(23,15) | [06:04,06:09] | 1 |
D9(9,2) | [06:02,06:07] | 1 | D24(24,21) | [06:02,06:07] | 2 |
D10(9,19) | [06:00,06:05] | 2 | D25(25,25) | [06:03,06:08] | 1 |
D11(10,2) | [06:03,06:08] | 1 | D26(26,4) | [06:00,06:05] | 2 |
D12(10,12) | [06:01,06:06] | 1 | D27(27,7) | [06:03,06:08] | 2 |
D13(10,23) | [06:04,06:09] | 1 | D28(27,24) | [06:02,06:07] | 1 |
D14(12,5) | [06:02,06:07] | 2 | D29(28,13) | [06:03,06:08] | 3 |
D15(13,7) | [06:00,06:05] | 3 | D30(29,7) | [06:02,06:07] | 1 |
Tab.4
Optimal scheduling scheme
UAV | 路径及时间规划 | 航程/ km | 能耗/ (kW·h) | 等待时 间/s | 滞后时 间/s | |
---|---|---|---|---|---|---|
UAV1 | D0(06:00)-D25(06:03:57)-D28(06:05:30)-D24(06:06:53)-D22(06:07:18)-D19(06:08:26)-D17(06:09:38)-D13(06:10:52)-D0(06:13:40) | 11.637 | 0.95 | 92 | 0 | |
UAV2 | D0(06:00)-D30(06:03:58)-D27(06:05:25)-D26(06:07:43)-D29(06:08:46)-D23(06:09:58)-D0(06:12:42) | 10.643 | 0.87 | 97 | 0 | |
UAV3 | D0(06:00)-D20(06:01:41)-D21(06:02:19)-D18(06:03:41)-D11(06:06:30)-D9(06:06:43)-D14(06:07:35)-D16(06:08:35)-D0(06:10:13) | 9.423 | 0.78 | 25 | 0 | |
UAV4 | D0(06:00)-D3(06:02:59)-D8(06:05:48)-D15(06:06:56)-D7(06:08:35)-D12(06:09:43)-D2(06:11:46)-D0(06:14:13) | 12.223 | 1.01 | 89 | 223 | |
UAV5 | D0(06:00)-D10(06:02:01)-D4(06:03:19)-D1(06:04:42)-D5(06:07:19)-D6(06:07:36)-D0(06:09:17) | 8.623 | 0.70 | 18 | 0 | |
总费用:10 198.12元 |
Tab.8
Performance comparison results of algorithms with different order sizes
客户规模 | 算法 | 解的质量 | ||||
---|---|---|---|---|---|---|
最优解 | 平均解 | 最差解 | 标准差 | 求解时间/s | ||
30 | DRL | 10 198.12 | 11 831.31 | 12 342.66 | 40.56 | 12.79 |
GA | 12 337.66 | 17 389.18 | 58 468.23 | 5 449.34 | 47.56 | |
DE | 14 153.70 | 29 607.82 | 50 232.42 | 5 904.81 | 48.69 | |
PSO | 10 084.57 | 12 914.68 | 42 128.75 | 3 356.54 | 890.74 | |
50 | DRL | 26 983.94 | 28 796.38 | 30 673.28 | 342.83 | 28.42 |
GA | 26 754.88 | 53 133.30 | 94 844.94 | 10 935.59 | 84.73 | |
DE | 38 706.89 | 87 836.36 | 120 707.64 | 13 384.37 | 87.65 | |
PSO | 44 165.52 | 115 964.70 | 224 003.45 | 25 473.53 | 1 680.83 | |
100 | DRL | 41 657.08 | 48 641.84 | 55 687.67 | 810.69 | 40.28 |
GA | 60 321.98 | 89 955.07 | 243 263.89 | 35 319.22 | 140.41 | |
DE | 87 507.85 | 63 267.91 | 209 413.78 | 17 814.59 | 200.48 | |
PSO | 88 987.01 | 202 019.22 | 337 613.34 | 27 817.30 | 3 598.32 |
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