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arXiv 2404.02442math.OC
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面向在线需求的无人机配送服务规划的数据驱动优化

Data-driven Optimization for Drone Delivery Service Planning with Online Demand

Aditya Paul, Michael W. Levin, S. Travis Waller, David Rey

AI总结:

针对在线随机需求下的城市无人机配送规划,本文将问题建模为 Markov 决策过程,并用前瞻模拟训练航段优先级模型以指导加权备用容量与利润权衡,实验证明其优于短视策略。

摘要:

在本研究中,我们开发了一种创新的数据驱动优化方法,以解决具有在线需求的无人机配送服务规划问题。基于无人机的物流有望通过增强灵活性并减少最后一英里配送引发的拥堵效应来改善运营。然而,随着数字化和城市化程度不断提高,物流服务提供商始终在努力应对不确定的实时需求这一挑战。本研究考察了通过城市空中交通网络规划无人机配送服务,以满足在线随机需求的问题。客户请求一旦被接受,就会产生利润,并由各次无人机飞行根据请求的起点、目的地和时间窗进行服务。我们将该随机优化问题建模为 Markov 决策过程。我们提出了一种新颖的数据驱动优化方法,该方法可生成代理优化公式参数的预测性处方。我们的求解方法包括:通过前瞻模拟合成训练数据,以训练一个监督式机器学习模型,用于根据网络状态预测相对航段优先级。随后,利用这一知识在网络中有选择地创建加权备用容量,并通过一个控制备用容量与利润最大化之间权衡的代理目标函数,使获得的累计利润最大化。利用基于基准交通网络的数值实验,结果表明所得到的数据驱动优化策略优于短视策略。对学习参数的敏感性分析揭示了面向在线需求的高效无人机配送服务规划策略设计的洞见。

英文摘要:

In this study, we develop an innovative data-driven optimization approach to solve the drone delivery service planning problem with online demand. Drone-based logistics are expected to improve operations by enhancing flexibility and reducing congestion effects induced by last-mile deliveries. With rising digitalization and urbanization, however, logistics service providers are constantly grappling with the challenge of uncertain real-time demand. This study investigates the problem of planning drone delivery service through an urban air traffic network to fulfil online and stochastic demand. Customer requests, if accepted, generate profit and are serviced by individual drone flights as per request origins, destinations and time windows. We cast this stochastic optimization problem as a Markov decision process. We present a novel data-driven optimization approach which generates predictive prescriptions of parameters of a surrogate optimization formulation. Our solution method consists of synthesizing training data via lookahead simulations to train a supervised machine learning model for predicting relative link priority based on the state of the network. This knowledge is then leveraged to selectively create weighted reserve capacity in the network and via a surrogate objective function that controls the trade-off between reserve capacity and profit maximization to maximize the cumulative profit earned. Using numerical experiments based on benchmarking transportation networks, the resulting data-driven optimization policy is shown to outperform a myopic policy. Sensitivity analyses on learning parameters reveal insights into the design of efficient policies for drone delivery service planning with online demand.

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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