arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.10269cs.AIcs.LG
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最后一英里交付中学习偏好的概率估计和结构化输出预测

Probability estimation and structured output prediction for learning preferences in last mile delivery

Vrije Universiteit Brussel(布鲁塞尔自由大学);Universidad de O’Higgins(奥希金斯大学);KU Leuven(鲁汶大学)

Rocsildes Canoy, Victor Bucarey, Yves Molenbruch, Maxime Mulamba, Jayanta Mandi, Tias Guns

摘要:

我们研究的问题,学习司机和规划者的偏好的背景下,最后一英里交付。给定一个包含历史决策和交付位置的数据集,目标是捕获决策者的隐式偏好。我们考虑两种使用历史数据的方法:一种是通过概率估计方法,学习停止(或区域)之间的转移概率。这是一种快速准确的方法,最近在VRP设置中进行了研究。此外,我们探索使用机器学习来推断如何最好地平衡多个目标,如距离,概率和惩罚。具体来说,我们将学习问题转换为结构化的输出预测问题,其中通过重复调用TSP求解器来完成训练。我们考虑的另一个重要方面是,对于最后一英里交付,每个地址都是潜在的客户端,因此数据非常稀疏。因此,我们提出了一个两阶段的方法,首先学习偏好在区域一级,以计算区域路由,之后,基于惩罚的TSP计算停止路由。结果表明,区域转移概率估计性能良好,结构化输出预测学习可以进一步改善结果。因此,我们展示了概率估计和机器学习的成功组合,同时使用标准TSP求解器,无论是在学习过程中还是在计算最终解时;这意味着该方法适用于其他现实生活中的TSP变体或专有求解器。

英文摘要:

We study the problem of learning the preferences of drivers and planners in the context of last mile delivery. Given a data set containing historical decisions and delivery locations, the goal is to capture the implicit preferences of the decision-makers. We consider two ways to use the historical data: one is through a probability estimation method that learns transition probabilities between stops (or zones). This is a fast and accurate method, recently studied in a VRP setting. Furthermore, we explore the use of machine learning to infer how to best balance multiple objectives such as distance, probability and penalties. Specifically, we cast the learning problem as a structured output prediction problem, where training is done by repeatedly calling the TSP solver. Another important aspect we consider is that for last-mile delivery, every address is a potential client and hence the data is very sparse. Hence, we propose a two-stage approach that first learns preferences at the zone level in order to compute a zone routing; after which a penalty-based TSP computes the stop routing. Results show that the zone transition probability estimation performs well, and that the structured output prediction learning can improve the results further. We hence showcase a successful combination of both probability estimation and machine learning, all the while using standard TSP solvers, both during learning and to compute the final solution; this means the methodology is applicable to other, real-life, TSP variants, or proprietary solvers.

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。

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