Journal of Computer Applications ›› 2023, Vol. 43 ›› Issue (2): 645-653.DOI: 10.11772/j.issn.1001-9081.2021122042
• Frontier and comprehensive applications • Previous Articles Next Articles
Received:
2021-12-08
Revised:
2022-03-20
Accepted:
2022-04-18
Online:
2022-05-16
Published:
2023-02-10
Contact:
Yuqing ZHOU, Xiaolong HAN
Supported by:
通讯作者:
周玉清,韩晓龙
基金资助:
CLC Number:
Yuqing ZHOU, Xiaolong HAN. Joint operation of quay crane and straddle carrier under dual-cycle strategy[J]. Journal of Computer Applications, 2023, 43(2): 645-653.
周玉清, 韩晓龙. 双循环策略下岸桥与跨运车的联合调度[J]. 《计算机应用》唯一官方网站, 2023, 43(2): 645-653.
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URL: https://www.joca.cn/EN/10.11772/j.issn.1001-9081.2021122042
类别 | 参数 | 说明 | 类别 | 参数 | 说明 |
---|---|---|---|---|---|
岸桥 参数 | 所有进出口任务集合 | 跨运车 参数 | 跨运车数量 | ||
岸桥集合 | 跨运车装载或卸载一个集装箱所需时间 | ||||
表示虚拟开始任务 | 空载运输时间。跨运车完成岸桥k的i任务后开始进行岸桥l的j任务之间的移动时间, | ||||
表示虚拟结束任务 | |||||
表示一个虚拟任务 | |||||
跨运车操作岸桥k的i任务所需时间, | |||||
岸桥k的所有出口箱任务集合, | 时间 变量 | 跨运车操作岸桥k的j任务开始时刻, | |||
岸桥k的所有进口箱任务集合, | 跨运车操作岸桥k的j任务结束时刻, | ||||
岸桥k的所有任务集合, | 岸桥k开始操作j任务的时刻, | ||||
岸桥k结束操作j任务的时刻, | |||||
岸桥k处理完任务i之后进行下一个任务j的准备时间 | 总完工时间 | ||||
岸桥处理一个任务所需时间,包括提箱、携箱运输、放箱三个过程 | 决策 变量 | 同一跨运车完成岸桥k的i任务后进行岸桥l的j任务为1,否则为0; | |||
表示岸桥提起或放下一个集装箱所需时间 | 岸桥k完成任务i后执行任务j为1,否则为0; | ||||
安全时间表示集装箱必须在缓存区停留的最小时间 | 岸桥人工变量; | ||||
当i比j先进入缓存区为1,否则为0; | |||||
岸桥k的缓存区容量, | 在j进入缓存区之前,i未离开为0,否则为1; |
Tab. 1 Description of parameter symbols
类别 | 参数 | 说明 | 类别 | 参数 | 说明 |
---|---|---|---|---|---|
岸桥 参数 | 所有进出口任务集合 | 跨运车 参数 | 跨运车数量 | ||
岸桥集合 | 跨运车装载或卸载一个集装箱所需时间 | ||||
表示虚拟开始任务 | 空载运输时间。跨运车完成岸桥k的i任务后开始进行岸桥l的j任务之间的移动时间, | ||||
表示虚拟结束任务 | |||||
表示一个虚拟任务 | |||||
跨运车操作岸桥k的i任务所需时间, | |||||
岸桥k的所有出口箱任务集合, | 时间 变量 | 跨运车操作岸桥k的j任务开始时刻, | |||
岸桥k的所有进口箱任务集合, | 跨运车操作岸桥k的j任务结束时刻, | ||||
岸桥k的所有任务集合, | 岸桥k开始操作j任务的时刻, | ||||
岸桥k结束操作j任务的时刻, | |||||
岸桥k处理完任务i之后进行下一个任务j的准备时间 | 总完工时间 | ||||
岸桥处理一个任务所需时间,包括提箱、携箱运输、放箱三个过程 | 决策 变量 | 同一跨运车完成岸桥k的i任务后进行岸桥l的j任务为1,否则为0; | |||
表示岸桥提起或放下一个集装箱所需时间 | 岸桥k完成任务i后执行任务j为1,否则为0; | ||||
安全时间表示集装箱必须在缓存区停留的最小时间 | 岸桥人工变量; | ||||
当i比j先进入缓存区为1,否则为0; | |||||
岸桥k的缓存区容量, | 在j进入缓存区之前,i未离开为0,否则为1; |
任务类型 | j进入缓存区的时刻 | j离开缓存区的时刻 |
---|---|---|
Tab. 2 Description of time variable in buffer
任务类型 | j进入缓存区的时刻 | j离开缓存区的时刻 |
---|---|---|
任务 | 岸桥 | SC | 编号 | 任务 | 岸桥 | SC | 编号 |
---|---|---|---|---|---|---|---|
11 | 1 | 3 | 1 | 21 | 4 | 7 | 3 |
12 | 2 | 1 | 2 | 22 | 2 | 2 | 3 |
13 | 3 | 4 | 2 | 23 | 1 | 5 | 2 |
14 | 4 | 6 | 1 | 24 | 3 | 9 | 3 |
15 | 5 | 8 | 1 | 25 | 5 | 10 | 1 |
Tab. 3 Coding table
任务 | 岸桥 | SC | 编号 | 任务 | 岸桥 | SC | 编号 |
---|---|---|---|---|---|---|---|
11 | 1 | 3 | 1 | 21 | 4 | 7 | 3 |
12 | 2 | 1 | 2 | 22 | 2 | 2 | 3 |
13 | 3 | 4 | 2 | 23 | 1 | 5 | 2 |
14 | 4 | 6 | 1 | 24 | 3 | 9 | 3 |
15 | 5 | 8 | 1 | 25 | 5 | 10 | 1 |
岸桥参数 | 值 | 跨运车参数 | 值 |
---|---|---|---|
起升时间 | 30 | 起升时间 | 20 |
缓存区容量 | 3 | 行驶速度/(km·h-1) | 10 |
缓存区安全时间 | 5 |
Tab. 4 Parameter
岸桥参数 | 值 | 跨运车参数 | 值 |
---|---|---|---|
起升时间 | 30 | 起升时间 | 20 |
缓存区容量 | 3 | 行驶速度/(km·h-1) | 10 |
缓存区安全时间 | 5 |
类型 | 任务编号 | |||||||
---|---|---|---|---|---|---|---|---|
出口箱 | 11 | 13 | 14 | 21 | 23 | 25 | 31 | 35 |
进口箱 | 12 | 15 | 22 | 24 | 32 | 33 | 34 |
Tab. 5 Task collection
类型 | 任务编号 | |||||||
---|---|---|---|---|---|---|---|---|
出口箱 | 11 | 13 | 14 | 21 | 23 | 25 | 31 | 35 |
进口箱 | 12 | 15 | 22 | 24 | 32 | 33 | 34 |
任务 | 岸桥 任务 优先级 | 跨运车 任务 优先级 | 跨运车 编号 | 任务 | 岸桥 任务 优先级 | 跨运车 任务 优先级 | 跨运车 编号 |
---|---|---|---|---|---|---|---|
11 | 5 | 9 | 1 | 24 | 1 | 6 | 2 |
12 | 1 | 12 | 1 | 25 | 5 | 10 | 2 |
13 | 3 | 8 | 4 | 31 | 5 | 11 | 3 |
14 | 2 | 1 | 1 | 32 | 4 | 13 | 2 |
15 | 4 | 5 | 1 | 33 | 2 | 14 | 3 |
21 | 3 | 2 | 2 | 34 | 1 | 15 | 4 |
22 | 4 | 7 | 3 | 35 | 3 | 4 | 4 |
23 | 2 | 3 | 3 |
Tab. 6 Joint operation task sequence
任务 | 岸桥 任务 优先级 | 跨运车 任务 优先级 | 跨运车 编号 | 任务 | 岸桥 任务 优先级 | 跨运车 任务 优先级 | 跨运车 编号 |
---|---|---|---|---|---|---|---|
11 | 5 | 9 | 1 | 24 | 1 | 6 | 2 |
12 | 1 | 12 | 1 | 25 | 5 | 10 | 2 |
13 | 3 | 8 | 4 | 31 | 5 | 11 | 3 |
14 | 2 | 1 | 1 | 32 | 4 | 13 | 2 |
15 | 4 | 5 | 1 | 33 | 2 | 14 | 3 |
21 | 3 | 2 | 2 | 34 | 1 | 15 | 4 |
22 | 4 | 7 | 3 | 35 | 3 | 4 | 4 |
23 | 2 | 3 | 3 |
岸桥 | 任务 | XQ/s | YQ/s | X/s | Y/s | SC编号 |
---|---|---|---|---|---|---|
岸桥1 | 11 | 1 676 | 1 756 | 1 196 | 1 671 | 1 |
12 | 0(223) | 303 | 1 670 | 2 034 | 1 | |
13 | 1 776 | 1 856 | 1 158 | 1 560 | 4 | |
14 | 413 | 493 | 0 | 408 | 1 | |
15 | 323 | 403 | 408 | 872 | 1 | |
岸桥2 | 21 | 504 | 584 | 0 | 458 | 2 |
22 | 0(219) | 299 | 399 | 834 | 3 | |
23 | 404 | 484 | 0 | 399 | 3 | |
24 | 319 | 399 | 458 | 936 | 2 | |
25 | 2 265 | 2 345 | 1 284 | 1 597 | 2 | |
岸桥3 | 31 | 1 885 | 1965 | 1 424 | 1 880 | 3 |
32 | 550 | 630 | 1 747 | 2073 | 2 | |
33 | 450 | 530 | 1 880 | 2 300 | 3 | |
34 | 0(350) | 430 | 1 860 | 2 345 | 4 | |
35 | 1 985 | 2 065 | 0 | 630 | 4 |
Tab. 7 Scheduling table of quay crane and straddle carrier
岸桥 | 任务 | XQ/s | YQ/s | X/s | Y/s | SC编号 |
---|---|---|---|---|---|---|
岸桥1 | 11 | 1 676 | 1 756 | 1 196 | 1 671 | 1 |
12 | 0(223) | 303 | 1 670 | 2 034 | 1 | |
13 | 1 776 | 1 856 | 1 158 | 1 560 | 4 | |
14 | 413 | 493 | 0 | 408 | 1 | |
15 | 323 | 403 | 408 | 872 | 1 | |
岸桥2 | 21 | 504 | 584 | 0 | 458 | 2 |
22 | 0(219) | 299 | 399 | 834 | 3 | |
23 | 404 | 484 | 0 | 399 | 3 | |
24 | 319 | 399 | 458 | 936 | 2 | |
25 | 2 265 | 2 345 | 1 284 | 1 597 | 2 | |
岸桥3 | 31 | 1 885 | 1965 | 1 424 | 1 880 | 3 |
32 | 550 | 630 | 1 747 | 2073 | 2 | |
33 | 450 | 530 | 1 880 | 2 300 | 3 | |
34 | 0(350) | 430 | 1 860 | 2 345 | 4 | |
35 | 1 985 | 2 065 | 0 | 630 | 4 |
序号 | 基础数据 | CPLEX | 基于贪婪算法的响应性禁忌搜索算法 | 传统禁忌搜索算法 | 遗传算法 | ||||
---|---|---|---|---|---|---|---|---|---|
目标值/min | 求解时间/s | 目标值/min | 求解时间/s | 目标值/min | 求解时间/s | 目标值/min | 求解时间/s | ||
1 | 4/2/2/2 | 18 | 0.07 | 18 | 0.4 | 18 | 0.5 | 18 | 0.5 |
2 | 6/2/2/2 | 33 | 0.08 | 33 | 0.4 | 33 | 0.6 | 33 | 0.4 |
3 | 6/2/3/2 | 19 | 0.08 | 19 | 0.5 | 19 | 0.6 | 19 | 0.5 |
4 | 6/3/3/2 | 18 | 0.07 | 18 | 0.4 | 18 | 0.6 | 18 | 0.6 |
5 | 15/3/4/4 | 39 | 6 124.00 | 39 | 26.0 | 44 | 60.0 | 47 | 65.0 |
6 | 15/3/5/4 | — | — | 32 | 28.0 | 46 | 65.0 | 46 | 63.0 |
7 | 30/3/5/4 | — | — | 79 | 45.0 | 89 | 340.0 | 91 | 310.0 |
8 | 45/3/5/4 | — | — | 101 | 98.0 | — | — | — | — |
Tab. 8 Algorithm performance analysis table
序号 | 基础数据 | CPLEX | 基于贪婪算法的响应性禁忌搜索算法 | 传统禁忌搜索算法 | 遗传算法 | ||||
---|---|---|---|---|---|---|---|---|---|
目标值/min | 求解时间/s | 目标值/min | 求解时间/s | 目标值/min | 求解时间/s | 目标值/min | 求解时间/s | ||
1 | 4/2/2/2 | 18 | 0.07 | 18 | 0.4 | 18 | 0.5 | 18 | 0.5 |
2 | 6/2/2/2 | 33 | 0.08 | 33 | 0.4 | 33 | 0.6 | 33 | 0.4 |
3 | 6/2/3/2 | 19 | 0.08 | 19 | 0.5 | 19 | 0.6 | 19 | 0.5 |
4 | 6/3/3/2 | 18 | 0.07 | 18 | 0.4 | 18 | 0.6 | 18 | 0.6 |
5 | 15/3/4/4 | 39 | 6 124.00 | 39 | 26.0 | 44 | 60.0 | 47 | 65.0 |
6 | 15/3/5/4 | — | — | 32 | 28.0 | 46 | 65.0 | 46 | 63.0 |
7 | 30/3/5/4 | — | — | 79 | 45.0 | 89 | 340.0 | 91 | 310.0 |
8 | 45/3/5/4 | — | — | 101 | 98.0 | — | — | — | — |
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