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arXiv 2203.01407math.OC
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移动生产车辆路径问题:在最后一英里配送中使用3D打印

The Mobile Production Vehicle Routing Problem: Using 3D Printing in Last Mile Distribution

Yu Wang, Stefan Ropke, Min Wen, Simon Bergh

摘要:

我们研究了一个新的变种的车辆路径问题,称为移动生产车辆路径问题(MoP-VRP)。在这个问题中,车辆配备了3D打印机,生产在通往客户的路上进行。目标是尽量减少因旅行和服务延误而产生的加权成本。我们制定了一个混合整数规划(MIP)模型,并开发了自适应大邻域搜索(ALNS)启发式算法。为了显示移动生产的优势,我们比较的问题与中央生产车辆路径问题(CP-VRP),生产发生在一个中央仓库。我们还提出了一个有效的ALNS的CP-VRP。我们生成的基准实例的基础上车辆路径问题的时间窗口(VRPTW)基准实例,和现实的情况下,根据丹麦公司3D Printhuset提供的现实生活中的数据。总的来说,这两个问题的建议ALNS是有效的,我们解决了200个客户在很短的计算时间内的实例。我们测试了不同的场景,每辆车中的机器数量不同,生产时间也不同。结果表明,这些因素是影响行程和延误成本的关键因素。移动生产的关键优势在于灵活性:它可以缩短从开始生产到交付产品的时间跨度,同时降低交付成本。此外,长期的成本估算表明,该技术具有较低的运营成本,因此在实际生活中是可行的。

英文摘要:

We study a new variant of the vehicle routing problem, called the Mobile Production Vehicle Routing Problem (MoP-VRP). In this problem, vehicles are equipped with 3D printers, and production takes place on the way to the customer. The objective is to minimize the weighted cost incurred by travel and delay of service. We formulate a Mixed Integer Programming (MIP) model and develop an Adaptive Large Neighbourhood Search (ALNS) heuristic for this problem. To show the advantage of mobile production, we compare the problem with the Central Production Vehicle Routing Problem (CP-VRP), where production takes place in a central depot. We also propose an efficient ALNS for the CP-VRP. We generate benchmark instances based on Vehicle Routing Problem with Time Windows (VRPTW) benchmark instances, and realistic instances based on real-life data provided by the Danish Company 3D Printhuset. Overall, the proposed ALNS for both problems are efficient, and we solve instances up to 200 customers within a short computational time. We test different scenarios with varying numbers of machines in each vehicle, as well as different production time. The results show that these are the key factors that influence travel and delay costs. The key advantage of mobile production is flexibility: it can shorten the time span from the start of production to the delivery of products, and at the same time lower delivery costs. Moreover, long-term cost estimations show that this technology has low operation costs and thus is feasible in real life practice.

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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