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Modeling optimal drone fleet size considering stochastic demand 考虑随机需求的最佳无人机机队规模建模
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100127
Yuval Hadas , Miguel A. Figliozzi

The last mile delivery is particularly challenging for stochastic deliveries with narrow time windows. This topic is timely due to the rise of e-commerce and courier type services and the impacts of fleet size and vehicle type on delivery costs. A novel contribution of this research is to provide an optimization approach, extending the newsvendor model, to provide an optimal drone fleet sizing solution with stochastic demand in terms of number of deliveries and deliveries weight or payload from one central depot. The solutions obtained are robust, as shown in a comprehensive sensitivity analysis.

对于时间窗口狭窄的随机配送而言,最后一英里配送尤其具有挑战性。由于电子商务和快递类服务的兴起,以及车队规模和车辆类型对送货成本的影响,这一课题显得非常及时。本研究的一个新贡献是提供了一种优化方法,扩展了新闻供应商模型,在随机需求的情况下,从一个中心仓库出发,根据交付数量和交付重量或有效载荷,提供最佳无人机机队规模解决方案。综合敏感性分析表明,所获得的解决方案是稳健的。
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引用次数: 0
Capacity requirements and demand management strategies in meal delivery 送餐服务的能力要求和需求管理策略
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100135
Ramon Auad , Alan Erera , Martin Savelsbergh

Online restaurant aggregators, which connect diners with restaurants and organize the delivery of ordered meals, have experienced significant growth in recent years. Meal delivery logistics is quite challenging, primarily due to the difficulty in managing the supply of delivery resources, i.e., crowdsourced couriers, to satisfy dynamic and uncertain customer demand under very tight time constraints. In this paper, we study several questions in meal delivery operations focused on matching the correct levels of supply with demand. To ensure excellent customer service, delivery aggregators may, for example, decide to temporarily decrease demand during an operating day by temporarily reducing the delivery area for one or more restaurants. We show that such simple demand restriction strategies allow a significantly smaller fleet to meet service requirements. To simplify analysis, we focus on problem geometries that enable the use of stylized mixed integer programs to optimally deploy a fleet of couriers serving large numbers of orders. Applying the proposed framework to several scenarios with one and two depots, we conduct an extensive experimental study of the effects on system performance of (i) allowing courier sharing between multiple depots, (ii) relaxing the delivery deadlines of placed orders, and (iii) restricting demand through limited adjustment of the coverage of restaurants. The results demonstrate the potential effectiveness of different dispatch control and demand management mechanisms, in terms of both the required courier fleet size to serve requests and the coverage level of orders.

连接食客与餐厅并组织送餐的在线餐厅聚合商近年来经历了大幅增长。送餐物流具有相当大的挑战性,这主要是由于很难管理送餐资源(即众包快递员)的供应,以在非常紧迫的时间限制下满足动态和不确定的客户需求。在本文中,我们研究了送餐业务中的几个问题,重点是如何正确匹配供需水平。例如,为了确保优质的客户服务,送餐聚合商可能会决定在一个工作日内通过暂时减少一家或多家餐厅的送餐区域来暂时降低需求。我们的研究表明,这种简单的需求限制策略可以使车队的规模大大缩小,从而满足服务要求。为了简化分析,我们将重点放在问题几何图形上,以便使用风格化的混合整数程序来优化部署为大量订单提供服务的快递员队伍。我们将提出的框架应用于有一个和两个仓库的几种情况,并对以下情况对系统性能的影响进行了广泛的实验研究:(i) 允许多个仓库共享快递员;(ii) 放宽订单的交付期限;(iii) 通过对餐厅覆盖范围的有限调整来限制需求。研究结果表明,不同的调度控制和需求管理机制在满足需求所需的快递队伍规模和订单覆盖水平方面都具有潜在的有效性。
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引用次数: 0
A metaheuristic for a time-dependent vehicle routing problem with time windows, two vehicle fleets and synchronization on a road network 道路网络上具有时间窗口、两支车队和同步性的随时间变化的车辆路由问题的元求和方法
IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100143
Fernando O. Guillen Reyes , Michel Gendreau , Jean-Yves Potvin
In this work, we extend the time-dependent vehicle routing problem with time windows on a road network by considering two types of vehicles, large and small, to serve customers. Motivated from city logistics applications, large vehicles are forbidden from the downtown area. Accordingly, goods must be transferred from large to small vehicles to serve downtown customers. This leads to synchronization issues at transfer points, which are special locations without storage capacity. The problem is not a pure two-echelon vehicle routing problem, since customers outside of the downtown area can be served directly by large vehicles. The problem is further compounded by the presence of time-dependent travel times that are defined on the arcs of the road network and are used to model congestion periods. To solve this difficult problem, we propose an adaptation of the Slack Induction by String Removals metaheuristic, which is state-of-the-art for the classical capacitated vehicle routing problem. Computational results on a set of test instances with different characteristics empirically demonstrate the optimization capabilities of this new metaheuristic on a problem which is much more complicated than the capacitated vehicle routing problem.
在这项工作中,我们通过考虑为客户提供服务的大型和小型两类车辆,扩展了道路网络上带有时间窗口的随时间变化的车辆路由问题。受城市物流应用的启发,大型车辆被禁止进入市中心区域。因此,货物必须从大型车辆转移到小型车辆,才能为市中心的客户提供服务。这就导致了转运点的同步问题,因为转运点是没有存储能力的特殊地点。这个问题并不是一个纯粹的两通道车辆路由问题,因为市中心以外的客户可以直接由大型车辆提供服务。由于路网弧线上定义了与时间相关的旅行时间,并用于模拟拥堵时段,因此问题变得更加复杂。为了解决这一难题,我们提出了一种 "通过字符串移除进行松弛诱导 "的元寻优方法,该方法在经典的有容量车辆路由问题上是最先进的。在一组具有不同特征的测试实例上的计算结果证明了这一新的元启发式对比容车路由问题复杂得多的问题的优化能力。
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引用次数: 0
Dynamic rebalancing for Bike-sharing systems under inventory interval and target predictions 库存间隔和目标预测下的共享单车系统动态再平衡
IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100147
Jiaqi Liang , Maria Clara Martins Silva , Daniel Aloise , Sanjay Dominik Jena
Bike-sharing systems have become a popular transportation alternative. Unfortunately, station networks are often unbalanced, with some stations being empty, while others being congested. Given the complexity of the underlying planning problems to rebalance station inventories via trucks, many mathematical optimizations models have been proposed, mostly focusing on minimizing the unmet demand. This work explores the benefits of two alternative objectives, which minimize the deviation from an inventory interval and a target inventory, respectively. While the concepts of inventory intervals and targets better fit the planning practices of many system operators, they also naturally introduce a buffer into the station inventory, therefore better responding to stochastic demand fluctuations. We report on extensive computational experiments, evaluating the entire pipeline required for an automatized and data-driven rebalancing process: the use of synthetic and real-world data that relies on varying weather conditions, the prediction of demand and the computation of inventory intervals and targets, different reoptimization modes throughout the planning horizon, and an evaluation within a fine-grained simulator. Results allow for unanimous conclusions, indicating that the proposed approaches reduce unmet demand by up to 34% over classical models.
共享单车系统已成为一种流行的替代交通方式。遗憾的是,站点网络往往不平衡,一些站点空空如也,而另一些则拥挤不堪。鉴于通过卡车重新平衡站点库存的基本规划问题的复杂性,人们提出了许多数学优化模型,大多侧重于最大限度地减少未满足的需求。这项工作探讨了两个备选目标的益处,这两个目标分别是最大限度地减少与库存间隔和目标库存的偏差。库存间隔和目标的概念更符合许多系统运营商的规划实践,同时也自然地为车站库存引入了缓冲区,从而更好地应对随机需求波动。我们报告了大量的计算实验,评估了自动化和数据驱动的再平衡过程所需的整个流程:使用依赖于不同天气条件的合成数据和真实世界数据、需求预测、库存间隔和目标的计算、整个规划范围内的不同再优化模式,以及在细粒度模拟器中进行的评估。结果得出了一致的结论,表明所提出的方法比传统模式最多可减少 34% 的未满足需求。
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引用次数: 0
A Two-echelon Vehicle Routing Problem with time-dependent travel times in the city logistics context 城市物流背景下旅行时间随时间变化的双梯队车辆路由问题
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100133
Andres Gutierrez , Nacima Labadie , Christian Prins

The fast rates at which urban population is growing coupled with increasing demands expressed within cities have given rise to challenging freight transportation problems. The Two-echelon Vehicle Routing Problem (2E-VRP) has been proposed as a scheme to tackle city-related problems. To better evaluate its pertinence in large congested city areas, this work addresses a version of the 2E-VRP in which synchronization is required among the two echelons. Besides, it considers time-dependent travel times at both echelons as well as time windows at customers. Other characteristics such as open routes at second echelon offer a degree of flexibility on the efficiency of the distribution specially when dealing with outsourcing schemes. The primary goal is to minimize the number of vehicles. Meanwhile, travel and waiting times, as well as penalties for late deliveries are minimized as a secondary objective. A two-phase metaheuristic approach is proposed to solve the problem on existing benchmarks; as well on a new set of instances based on real information from the city of Bogota, provided by an industrial partner. The experiments prove that including time-dependent travel times is of utmost importance for practical applications.

城市人口的快速增长和城市内部日益增长的需求引发了具有挑战性的货运问题。有人提出了两千米车辆路由问题(2E-VRP),作为解决城市相关问题的方案。为了更好地评估其在大型拥堵城市地区的适用性,本研究针对的是需要两个梯队同步的 2E-VRP 版本。此外,它还考虑了两个梯队随时间变化的旅行时间以及客户的时间窗口。第二梯队的开放路线等其他特征为配送效率提供了一定程度的灵活性,特别是在处理外包计划时。首要目标是尽量减少车辆数量。同时,旅行和等待时间以及延迟交货的惩罚也是最小化的次要目标。我们提出了一种两阶段元启发式方法,用于解决现有基准上的问题,以及基于工业合作伙伴提供的波哥大市真实信息的新实例集上的问题。实验证明,在实际应用中,包含随时间变化的旅行时间至关重要。
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引用次数: 0
Optimization of human-aware logistics and manufacturing systems: A survey on the Human-Aware Models 人类感知物流和制造系统的优化:人性化模型调查
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100137
Thibault Prunet , Nabil Absi , Valeria Borodin , Diego Cattaruzza

Historically, Operations Research (OR) discipline has mainly been focusing on economic concerns. Since the early 2000s, human considerations are gaining increasing attention, pushed by the growing societal concerns of sustainable development on the same terms as the economic and ecological ones. This paper is the second part of a work that aims at reviewing the efforts dedicated by the OR community to the integration of human aspects into logistics and manufacturing systems. A focus is put on the models proposed to represent and quantify human characteristics, their practical relevance, and the complexity induced by their integration with mathematical optimization models. In this paper, the techniques used in the OR literature to represent the human considerations encountered in logistics and manufacturing systems are surveyed. The existing Human-Aware Models (HAM) are classified and reviewed by domain. Particular attention is paid to the field validity of each method, its relevance to specific use cases, the required data collection, and its usability within mathematical optimization models. Since the surveyed HAMs rely on concepts originating from different related scientific disciplines (e.g., ergonomics, occupational medicine), a brief introduction of these fields of study is proposed together with a work of contextualization that is carried out during the analysis.

从历史上看,运筹学(OR)学科主要关注经济问题。自 21 世纪初以来,随着社会对可持续发展的关注与对经济和生态的关注日益增加,对人的考虑也越来越受到重视。本文是研究工作的第二部分,旨在回顾物流与制造系统中人的因素融入物流与制造系统的过程。本文的重点是为表示和量化人的特征而提出的模型、这些模型的实际意义,以及这些模型与数学优化模型相结合所产生的复杂性。本文调查了 OR 文献中用于表示物流和制造系统中遇到的人为因素的技术。本文按领域对现有的人性化模型(HAM)进行了分类和评述。其中特别关注了每种方法的实地有效性、与特定用例的相关性、所需的数据收集以及在数学优化模型中的可用性。由于所调查的人机工程学依赖于不同相关科学学科(如人体工程学、职业医学)的概念,因此对这些研究领域进行了简要介绍,并在分析过程中进行了背景说明。
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引用次数: 0
Spatio-temporal prediction of freeway congestion patterns using discrete choice methods 利用离散选择法对高速公路拥堵模式进行时空预测
IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100144
Barbara Metzger , Allister Loder , Lisa Kessler , Klaus Bogenberger
Predicting freeway traffic states is, so far, based on predicting speeds or traffic volumes with various methodological approaches ranging from statistical modeling to deep learning. Traffic on freeways, however, follows specific patterns in space–time, such as stop-and-go waves or mega jams. These patterns are informative because they propagate in space–time in different ways, e.g., stop and go waves exhibit a typical propagation that can range far ahead in time. If these patterns and their propagation become predictable, this information can improve and enrich traffic state prediction. In this paper, we use a rich data set of congestion patterns on the A9 freeway in Germany near Munich to develop a mixed logit model to predict the probability and then spatio-temporally map the congestion patterns by analyzing the results. As explanatory variables, we use variables characterizing the layout of the freeway and variables describing the presence of previous congestion patterns. We find that a mixed logit model significantly improves the prediction of congestion patterns compared to the prediction of congestion with the average presence of the patterns at a given location or time.
迄今为止,预测高速公路交通状态主要基于预测车速或交通流量,采用的方法从统计建模到深度学习不一而足。然而,高速公路上的交通遵循特定的时空模式,如走走停停或大塞车。这些模式的信息量很大,因为它们在时空中的传播方式各不相同,例如,走走停停波表现出一种典型的传播方式,可以在很远的时间范围内传播。如果这些模式及其传播是可预测的,那么这些信息就能改善和丰富交通状态预测。在本文中,我们利用德国慕尼黑附近 A9 高速公路拥堵模式的丰富数据集,建立了一个混合 logit 模型来预测概率,然后通过分析结果绘制出拥堵模式的时空地图。作为解释变量,我们使用了描述高速公路布局特征的变量和描述以前是否出现过拥堵模式的变量。我们发现,与根据特定地点或时间的平均拥堵模式预测拥堵情况相比,混合 Logit 模型能显著改善对拥堵模式的预测。
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引用次数: 0
Price optimal routing in public transportation 公共交通中的价格最优路线
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100128
Ricardo Euler, Niels Lindner, Ralf Borndörfer

We consider the price-optimal earliest arrival problem in public transit (POEAP) in which we aim to calculate the Pareto-set of journeys with respect to ticket price and arrival time in a public transportation network. Public transit fare structures are often a combination of various fare strategies such as, e.g., distance-based fares, zone-based fares or flat fares. The rules that determine the actual ticket price are often very complex. Accordingly, fare structures are notoriously difficult to model, as it is in general not sufficient to simply assign costs to arcs in a routing graph. Research into POEAP is scarce and usually either relies on heuristics or only considers restrictive fare models that are too limited to cover the full scope of most real-world applications. We therefore introduce conditional fare networks (CFNs), the first framework for representing a large number of real-world fare structures. We show that by relaxing label domination criteria, CFNs can be used as a building block in label-setting multi-objective shortest path algorithms. By the nature of their extensive modeling capabilities, optimizing over CFNs is NP-hard. However, we demonstrate that adapting the multi-criteria RAPTOR (McRAP) algorithm for CFNs yields an algorithm capable of solving POEAP to optimality in less than 400 ms on average on a real-world dataset. By restricting the size of the Pareto-set, running times are further reduced to below 10 ms.

我们考虑了公共交通中的价格最优最早到达问题(POEAP),目的是计算公共交通网络中票价和到达时间的帕累托行程集。公共交通的票价结构通常是各种票价策略的组合,如基于距离的票价、基于区域的票价或统一票价。决定实际票价的规则往往非常复杂。因此,票价结构是众所周知的难以建模的问题,因为一般来说,仅仅将成本分配给路由图中的弧是不够的。对 POEAP 的研究很少,通常要么依赖于启发式方法,要么只考虑限制性票价模型,这些模型过于有限,无法涵盖大多数实际应用的全部范围。因此,我们引入了条件票价网络 (CFN),这是第一个代表现实世界中大量票价结构的框架。我们的研究表明,通过放宽标签支配标准,条件票价网络可用作标签设置多目标最短路径算法的构建模块。由于 CFN 具有广泛的建模能力,因此通过 CFN 进行优化非常困难。不过,我们证明,针对 CFNs 调整多标准 RAPTOR(McRAP)算法后,就能在实际数据集上以平均少于 400 毫秒的时间将 POEAP 求解为最优。通过限制帕累托集合的大小,运行时间进一步缩短到 10 毫秒以下。
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引用次数: 0
Optimization of bike-sharing repositioning operations: A reactive real-time approach 共享单车重新定位操作的优化:被动实时方法
IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100138
Enrique Jiménez-Meroño, Francesc Soriguera

One of the critical issues in the operation of vehicle-sharing systems is the optimization of the fleet repositioning movements. Repositioning implies the artificial movement of vehicles from places where they accumulate to others in which they are scarce. This yields a higher vehicle availability, without over dimensioning the vehicle fleet and while increasing the vehicle utilization rates. In the particular case of bike-sharing systems, repositioning implies to deploy a fleet of small trucks or vans able to move groups of bicycles from one location to another, with the purpose of maximizing the users’ level of service while minimizing the operating agency costs. This repositioning optimization problem has been previously addressed in the operations research field through Mixed Integer Programing (MIP) and its variants, generally facing two limitations. First, its high computational cost, which prevents achieving direct solutions in realistically large systems. So, it has been necessary to develop heuristics and approximations. And second, its reliance and sensitivity to demand forecasts, with its inherent level of uncertainty. Aiming to overcome these weaknesses, this paper presents a strategy based on a real-time pairwise assignment between repositioning trucks and tasks, in order to optimize the bike-sharing repositioning operations. The proposed method is conceptually simple, less dependent on demand predictions, easily implementable in any coding language and applicable to large systems at a low computational cost. These properties make the method appealing to address the repositioning task assignment in any vehicle-sharing system. On a simulated case study, based on Bicing, the bicycle-sharing system in Barcelona, the proposed strategy has been implemented and compared to the MIP-based routing approach. Results show that the proposed real-time pairwise assignment method is able to significantly improve the performance of the repositioning operations, especially in scenarios where the demand forecast is not accurate. Being based on real-time information, the proposed strategy is flexible enough to solve unpredictable situations. So, the proposed strategy can be implemented as an alternative to MIP-based solutions, or as a complementary strategy for dynamic real-time adaptation of static long-term solutions.

车辆共享系统运行中的一个关键问题是优化车队的重新定位移动。重新定位意味着人为地将车辆从车辆聚集的地方转移到车辆稀缺的地方。这样既能提高车辆的可用性,又不会使车队规模过大,同时还能提高车辆利用率。在共享单车系统的特殊情况下,重新定位意味着部署一支小型卡车或货车车队,将自行车群从一个地点移动到另一个地点,目的是最大限度地提高用户的服务水平,同时最大限度地降低运营机构的成本。以前,运筹学领域曾通过混合整数编程(MIP)及其变体来解决这一重新定位优化问题,但通常面临两个限制。首先是计算成本高,无法在现实的大型系统中直接求解。因此,有必要开发启发式方法和近似方法。其次,它对需求预测的依赖性和敏感性,以及其固有的不确定性。为了克服这些弱点,本文提出了一种基于重新定位卡车和任务之间实时配对分配的策略,以优化共享单车的重新定位操作。所提出的方法概念简单,对需求预测的依赖性较低,可以用任何编码语言轻松实现,并以较低的计算成本适用于大型系统。这些特性使得该方法在处理任何车辆共享系统中的重新定位任务分配时都很有吸引力。在基于巴塞罗那自行车共享系统 Bicing 的模拟案例研究中,我们实施了建议的策略,并与基于 MIP 的路由选择方法进行了比较。结果表明,建议的实时配对分配方法能够显著提高重新定位操作的性能,尤其是在需求预测不准确的情况下。基于实时信息,所提出的策略具有足够的灵活性,可以解决不可预测的情况。因此,建议的策略可以作为基于 MIP 的解决方案的替代方案,也可以作为长期静态解决方案动态实时调整的补充策略。
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引用次数: 0
A two-stage stochastic programming model for bike-sharing systems with rebalancing 带有再平衡功能的共享单车系统的两阶段随机编程模型
IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100140
Rossana Cavagnini , Francesca Maggioni , Luca Bertazzi , Mike Hewitt

We study the problem of determining the target inventory level of stations in a bike-sharing system, when bikes can be rebalanced later during the day. We propose a two-stage stochastic programming formulation, where the target inventory decisions are made at the first stage, while the recourse decisions, related to rebalancing, are made at the second stage. In the literature, the problem of determining the target inventory levels is solved without taking into account the rebalancing problem, or these two problems are solved sequentially. We prove that more efficient bike-sharing systems can be obtained by integrating these two problems. Moreover, we show that our methodology provides better results than the deterministic formulation, and consider an effective matheuristic, based on the solution of the deterministic problem, to solve the stochastic program. Finally, we compare the solutions obtained by our approach with the actual allocation of bikes in the real bike-sharing system of the city of San Francisco. The results show the effectiveness of our approach also in a realistic setting.

我们研究的问题是,在共享单车系统中,当单车可以在一天中的晚些时候重新平衡时,如何确定站点的目标库存水平。我们提出了一个两阶段随机编程公式,其中目标库存决策在第一阶段做出,而与重新平衡相关的求助决策则在第二阶段做出。在文献中,确定目标库存水平的问题是在不考虑再平衡问题的情况下解决的,或者这两个问题是顺序解决的。我们证明,通过整合这两个问题,可以获得更高效的共享单车系统。此外,我们还证明了我们的方法比确定性方法能提供更好的结果,并在确定性问题求解的基础上,考虑了一种有效的数学启发式来求解随机程序。最后,我们将我们的方法获得的解决方案与旧金山市实际共享单车系统中的实际单车分配情况进行了比较。结果表明,我们的方法在现实环境中也很有效。
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引用次数: 0
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EURO Journal on Transportation and Logistics
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