arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2108.04578cs.LGcs.AI
收藏

数据驱动的VRP:一种学习VRP隐藏偏好的神经网络模型

Data Driven VRP: A Neural Network Model to Learn Hidden Preferences for VRP

Vrije Universiteit Brussel(布鲁塞尔自由大学);KU Leuven(鲁汶大学)

Jayanta Mandi, Rocsildes Canoy, Víctor Bucarey, Tias Guns

摘要:

传统的容量约束车辆路径问题(CVRP)是在车辆的容量约束下最小化路径总距离的问题。但更多的时候,目标涉及多个标准,不仅包括旅行的总距离,还包括其他因素,如旅行成本,旅行时间和燃料消耗。此外,在现实中,路线规划者和司机的头脑中根深蒂固的许多隐含的偏好。例如,司机熟悉某些社区和道路状况,经常考虑休息和午休的最佳地点。当必须做出操作路由决策时,这种知识很难制定和平衡。这促使我们从过去的解决方案中学习隐含的偏好,并将这些学习到的偏好纳入优化过程。这些偏好是以弧概率的形式,即,路由越优选,联合概率越高。这项工作的新颖性是使用一个神经网络模型来估计电弧概率,它允许额外的功能和自动参数估计。这首先需要识别合适的特征、神经结构和损失函数,同时考虑到通常很少有数据可用。我们调查的差异与事先加权马尔可夫计数的方法,并研究神经网络在这种情况下的适用性。

英文摘要:

The traditional Capacitated Vehicle Routing Problem (CVRP) minimizes the total distance of the routes under the capacity constraints of the vehicles. But more often, the objective involves multiple criteria including not only the total distance of the tour but also other factors such as travel costs, travel time, and fuel consumption.Moreover, in reality, there are numerous implicit preferences ingrained in the minds of the route planners and the drivers. Drivers, for instance, have familiarity with certain neighborhoods and knowledge of the state of roads, and often consider the best places for rest and lunch breaks. This knowledge is difficult to formulate and balance when operational routing decisions have to be made. This motivates us to learn the implicit preferences from past solutions and to incorporate these learned preferences in the optimization process. These preferences are in the form of arc probabilities, i.e., the more preferred a route is, the higher is the joint probability. The novelty of this work is the use of a neural network model to estimate the arc probabilities, which allows for additional features and automatic parameter estimation. This first requires identifying suitable features, neural architectures and loss functions, taking into account that there is typically few data available. We investigate the difference with a prior weighted Markov counting approach, and study the applicability of neural networks in this setting.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑