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摘要: 为了优化轮胎式龙门起重机的动态配置, 建立一个多目标非线性数学规划模型, 以各箱区总的未按计划完成工作箱量所需的龙门起重机时间和龙门起重机闲置时间的最小化为目标函数, 采用基于启发式方法的Lagrangian松弛算法, 求取轮胎式龙门起重机的动态配置近似最优解。算例测试表明, 算法的平均相对对偶间隙为1%, 平均计算时间为4 min, 这种方法对于港口堆场内轮胎式龙门起重机的动态优化配置是有效的。Abstract: In order to optimize the dynamic deployment for rubber tyred gantry crane, this paper constructed a nonlinear multi-objective programming model. In the model, the minimum time of uncompleted workloads and the minimum wasted time of workloads were optimal objects, the problem was solved by Lagrangian algorithm based on heuristic method. Computation results show that the average duality gap is within 1%, the average computation time is 4 min, which demonstrates the model is feasible.
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Key words:
- port /
- yard /
- container /
- crane /
- Lagrangian relaxation method /
- deployment
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表 1 移动时间
Table 1. Traveling time
/min 箱区号 1 2 3 4 5 6 7 8 9 10 1 0 10 20 20 25 25 30 30 35 35 2 10 0 20 20 25 25 30 30 35 35 3 20 20 0 10 20 20 25 25 30 30 4 20 20 10 0 20 20 25 25 30 30 5 25 25 20 20 0 10 20 20 25 25 6 25 25 20 20 10 0 20 20 25 25 7 30 30 25 25 20 20 0 10 20 20 8 30 30 25 25 20 20 10 0 20 20 9 35 35 30 30 25 25 20 20 0 10 10 35 35 30 30 25 25 20 20 10 0 表 2 计划所需时间
Table 2. Demand time of plan
/min 阶段 箱区 1 2 3 4 5 6 7 8 9 10 1 157 64 74 76 59 55 55 42 64 64 2 56 56 54 48 74 54 56 53 44 57 3 51 65 43 45 64 56 62 64 54 45 4 163 53 96 76 45 78 65 61 62 64 5 62 66 56 65 56 67 74 52 62 49 6 56 70 45 57 54 69 76 66 64 57 7 71 40 64 62 65 65 54 54 46 64 8 56 45 62 55 55 45 44 52 74 54 表 3 未完成计划所需时间的最大值
Table 3. Demand maximal time of uncompleted plan
/min 阶段 箱区 1 2 3 4 5 6 7 8 9 10 1 3 12 4 9 9 5 5 3 3 4 2 4 2 3 4 3 4 6 3 4 7 3 2 5 3 4 5 4 4 4 4 5 4 3 3 6 6 5 0 4 4 3 4 5 2 2 2 3 2 3 2 4 2 0 6 4 4 4 3 3 8 6 5 4 0 7 4 4 4 3 6 6 3 3 4 4 8 3 5 4 3 7 3 3 4 3 4 表 4 初始各箱区配置龙门起重机台数
Table 4. Crane number in each block
箱区号 1 2 3 4 5 6 7 8 9 10 数量 3 1 1 1 1 1 2 1 1 1 -
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