在分析热轧生产批量计划通用模型的基础上，采用了带有时间窗的车辆路径问题模型。
The VRPTW model that is suitable to resolve the problems of the production lot planning of the hot rolling strip is suggested.
在物流的各种优化问题中，有时间窗的车辆路径问题由于其巨大的经济效益，从它被提出以来就一直是业界研究的热点。
In kinds of the optimum problems of logistic, the vehicle routing problem with time window has been focused in the area because of its enormous benefit since it was proposed.
如果配送资源不受限制，总配送成本不受顾客的库存成本的影响，问题转化为带有时间窗的车辆路径问题(VRPTW)。
If the resource is infinite in the distribution center, the distribution cost is not affected by the custom inventory, the problem is a vehicle routing problem with time window (VRPTW).
提出了具有时间窗的货物运输车辆路径问题。
Transit vehicle routing problem with time intervals-constrained is considered.
本文首先介绍了遗传算法在解决简单约束车辆路径问题上的应用，改进了交叉算子，为研究有时间窗装卸问题的遗传算法作了充分准备。
In this paper, Genetic Algorithms (GA) for VRP with simple conditions was introduced and cross operator in GA was improved. These researches made full preparation for us to study PDPTW.
把该方法应用于有时间窗车辆路径问题，试验结果表明该算法是有效的。
The proposed algorithm was applied to the Vehicle Routing Problem with Time Window (VRPTW). The experiment results indicates that the new algorithm is effective.
把该方法应用于有时间窗车辆路径问题，试验结果表明该算法是有效的。
The proposed algorithm was applied to the Vehicle Routing Problem with Time Window (VRPTW). The experiment results indicates that the new algorithm is effective.
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