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Modeling and solving a corporate vehicle-sharing problem combined with other modes of transport 模拟并解决与其他交通方式相结合的企业车辆共享问题
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2023.100122
Miriam Enzi , Sophie N. Parragh , David Pisinger

We consider a car-sharing problem in a company during business hours. The employees, located at one or several offices, have to travel to one or more appointments each with a fixed location and fixed start and end times and return to one of the offices afterwards. Each employee trip can be carried out with one out of several alternative modes of transport. The considered modes of transport are a company car from the company car pool, walking, public transport, bike, and taxi. The aim is to assign modes of transport to employee trips such that the total costs of covering the trips is minimized.

We first consider that the company is operating a shared fleet of a single type of vehicle and then that the fleet consists of different vehicle types. By relying on minimizing the savings when using a vehicle compared to the cheapest alternative available mode of transport (which is used if no vehicle is assigned to a trip), we do not need to model the alternative modes explicitly. For the case where the vehicle fleet consists of a single type of vehicle, we model the vehicle-sharing problem as a minimum-cost flow problem. Secondly, if multiple types of vehicles are available the problem can be formulated as a multi-commodity flow problem. Since very efficient solution methods are available for these formulations, they are applicable in daily operations.

We provide a comprehensive computational study for both cases on instances based on demographic, spatial, and economic data of Vienna. We show that our formulations for the problem solve these instances in a few seconds, which makes them usable in an online booking system. In the analysis, we discuss different potential settings. We study different sizes and compositions of the shared fleet, restricted sets of modes of transport, and variations of the objective function.

我们考虑一家公司在工作时间内的汽车共享问题。位于一个或多个办公室的员工必须前往一个或多个约会,每个约会都有固定的地点、固定的开始和结束时间,然后返回其中一个办公室。员工的每次出行可以选择几种交通方式中的一种。可供选择的交通方式包括公司汽车库中的公司汽车、步行、公共交通、自行车和出租车。我们的目标是为员工的出行分配交通方式,从而使出行的总成本最小化。我们首先考虑公司运营的是由单一类型车辆组成的共享车队,然后再考虑车队由不同类型的车辆组成。与现有最便宜的替代交通方式(如果没有为某次出行分配车辆,则使用最便宜的替代交通方式)相比,我们依靠最大限度地减少使用车辆时节省的费用,因此不需要对替代交通方式进行明确建模。对于车队由单一类型车辆组成的情况,我们将车辆共享问题建模为最小成本流量问题。其次,如果有多种类型的车辆,则可将问题表述为多商品流通问题。我们对这两种情况下基于维也纳人口、空间和经济数据的实例进行了全面的计算研究。我们对这两种情况下基于维也纳人口、空间和经济数据的实例进行了全面的计算研究,结果表明,我们的计算公式可以在几秒钟内解决这些实例,因此可以用于在线预订系统。在分析中,我们讨论了不同的潜在设置。我们研究了共享车队的不同规模和组成、受限的运输模式集以及目标函数的变化。
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引用次数: 0
Order dispatching and vacant vehicles rebalancing for the first-mile ride-sharing problem 第一英里共享出行问题的订单调度和空置车辆再平衡
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100132
Jinwen Ye , Giovanni Pantuso , David Pisinger

Given a set of transport requests to a transit station and a set of homogeneous vehicle, both geographically dispersed in a business area, the First-Mile Ride-Sharing Problem (FMRSP) consists of finding least cost vehicle routes to transport passengers to the station by shared rides. In this paper we formulate the problem as a mathematical optimization problem and study the effectiveness of preventive movements of idle vehicles (i.e., rebalancing) in order to anticipate future demand. That is, we identify promising rebalancing locations based on historical data and give the model incentives to assign vehicles to such location. We then assess the effectiveness of such movements by simulating online usage of the mathematical model in a rolling-horizon framework. The results show that rebalancing is consistently preferable both in terms of profits and service rate. Particularly, in operating contexts where the station is not centrally located, rebalancing movements increase both profits and service rates by around 30% on average.

给定一组前往公交车站的运输请求和一组同质车辆(两者在地理上都分散在一个商业区),首英里共享乘车问题(FMRSP)包括寻找成本最低的车辆路线,通过共享乘车将乘客运送到车站。在本文中,我们将该问题表述为一个数学优化问题,并研究了为预测未来需求而对闲置车辆进行预防性调度(即再平衡)的有效性。也就是说,我们根据历史数据确定有前景的再平衡地点,并激励模型将车辆分配到这些地点。然后,我们通过在滚动视距框架内模拟数学模型的在线使用情况,来评估这种移动的有效性。结果表明,从利润和服务率的角度来看,重新平衡始终是更可取的。特别是在车站不处于中心位置的运营环境下,重新平衡调度可将利润和服务率平均提高 30%左右。
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引用次数: 0
A Branch-Price-and-Cut algorithm for the Multi-Commodity two-echelon Distribution Problem 多商品双螺旋配送问题的 "分支-价格-削减 "算法
IF 2.1 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2024-01-01 DOI: 10.1016/j.ejtl.2024.100139
Matteo Petris , Claudia Archetti , Diego Cattaruzza , Maxime Ogier , Frédéric Semet

In the Multi-Commodity two-echelon Distribution Problem (MC2DP), multiple commodities are distributed in a two-echelon distribution system involving suppliers, distribution centres and customers. Each supplier may provide different commodities and each customer may request several commodities as well. In the first echelon, capacitated vehicles perform direct trips to transport the commodities from the suppliers to the distribution centres for consolidation purposes. In the second echelon, each distribution centre owns a fleet of capacitated vehicles to deliver the commodities to the customers through multi-stop routes. Commodities are compatible, i.e., they can be mixed in the vehicles. Finally, customer requests can be split by commodities, that is, a customer can be visited by several vehicles, but the total amount of each commodity has to be delivered by a single vehicle. The aim of the MC2DP is to minimize the total transportation cost to satisfy customer demands.

We propose a set covering formulation for the MC2DP where the exponential number of variables relates to the routes in the delivery echelon. We develop a Branch-Price-and-Cut algorithm (BPC) to solve the problem. The pricing problem results in solving an Elementary Shortest Path Problem with Resource Constraints (ESPPRC) per distribution centre. We tackle the ESPPRC with a label setting dynamic programming algorithm which incorporates ng-path relaxation and a bidirectional labelling search. Pricing heuristics are invoked to speed up the procedure. In addition, the formulation is strengthened by integrating capacity cuts and two families of valid inequalities specific for the multiple commodities aspect of the problem.

Our approach solves to optimality 439 over the 736 benchmark instances from the literature. The optimality gap of the unsolved instances is 2.1%, on average.

在多商品双梯队配送问题(MC2DP)中,多种商品在涉及供应商、配送中心和客户的双梯队配送系统中进行配送。每个供应商可能提供不同的商品,每个客户也可能要求提供多种商品。在第一梯队中,有能力的车辆直接将商品从供应商运送到配送中心,以便进行整合。在第二梯队中,每个配送中心都拥有一支车队,通过多站路线将商品运送给客户。商品是兼容的,即可以在车辆中混合使用。最后,客户的要求可以按商品进行分割,也就是说,一个客户可以由多辆车来拜访,但每种商品的总量必须由一辆车来运送。MC2DP 的目标是最大限度地降低总运输成本,以满足客户需求。我们提出了 MC2DP 的集合覆盖公式,其中的指数变量数与配送梯队中的路线有关。我们开发了一种分支定价与削减算法(BPC)来解决该问题。定价问题的结果是求解每个配送中心的资源约束最短路径问题(ESPPRC)。我们采用标签设置动态编程算法来解决 ESPPRC 问题,该算法结合了 ng 路径松弛和双向标签搜索。我们还采用了定价启发式算法来加快计算速度。此外,通过整合容量削减和两个有效不等式族,该问题的多商品方面的表述得到了加强。未解决实例的最优性差距平均为 2.1%。
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引用次数: 0
The two-flight low risk helicopter transportation problem under the split pickup scenario 分接情况下的两飞低风险直升机运输问题
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2023.100115
Hans Kellerer , Vitaly A. Strusevich

The paper considers a special class of routing problems with the objective of minimizing the passengers risk. A major area of application of the low risk models is helicopter transportation widely used in the petroleum industry. In general, the total risk is considered to be proportional to the number of passengers exposed to landings and takeoffs during several multi-leg flights. We give a review of most of the studied models and demonstrate their links with the known problems of combinatorial optimization, such as the minimum latency problem, the multiple deliverymen problem, single machine and parallel machine scheduling, etc. In this paper, we focus on the problem of minimizing total risk, provided that the pickup from a number of locations is performed by two flights, and it is allowed that a location is visited by both flights, splitting the pickup demand. We show that the problem in NP-hard and admits a pseudopolynomial-time dynamic programming algorithm. We also develop a fully polynomial-time approximation scheme and a fast 5/4-approximation algorithm. The results of computational experiments with our algorithms are reported.

本文考虑一类以乘客风险最小化为目标的特殊路线问题。低风险模型的主要应用领域是石油工业中广泛使用的直升机运输。一般来说,总风险被认为是与几次多段飞行中接触着陆和起飞的乘客数量成正比的。我们回顾了大多数已研究的模型,并说明了它们与已知的组合优化问题的联系,如最小延迟问题、多交货问题、单机和并行机调度等。在本文中,我们关注最小化总风险的问题,假设从多个地点取货由两个航班执行,并且允许两个航班都访问一个地点,从而分散取货需求。我们证明了这个问题是NP-hard的,并且允许一个伪多项式时间动态规划算法。我们还开发了一个全多项式时间近似格式和一个快速的5/4近似算法。本文还报道了算法的计算实验结果。
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引用次数: 0
A review of principles and methods to decompose large-scale railway scheduling problems 大规模铁路调度问题分解的原理与方法综述
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2023.100107
Florin Leutwiler, Francesco Corman

Providing punctual, reliable and performant services to customers is one main goal of railway network operators. The railway scheduling problem is to determine, ahead of time (timetabling), a plan describing the timing of the operations in a railway network, or updating such plan during operations (rescheduling). By optimization and automation, it is possible to operate more trains on the network, closer to the infrastructure capacity. Especially when the scale and complexity of the scheduling problem is increasing, for large-scale networks and multiple interconnected problems, this is of great value for network operators. When planning or adjusting railway operations becomes increasingly complex, modern scheduling algorithms can bring significant performance and economic benefits. In this survey we review approaches in the state of the art for the problems of railway scheduling. We show how the many different approaches of decomposition proposed in the literature of railway scheduling can be categorized into two general principles. We study different solution methods and identify a list of open topics for dealing with large-scale problems for future research.

为客户提供准时、可靠和高效的服务是铁路网络运营商的主要目标之一。铁路调度问题是提前确定描述铁路网络运行时间的计划(调度),或在运行期间更新该计划(重新调度)。通过优化和自动化,可以在网络上运行更多的列车,更接近基础设施的能力。特别是当调度问题的规模和复杂性不断增加时,对于大规模网络和多个相互关联的问题,这对网络运营商来说具有重要的价值。在规划或调整铁路运营日益复杂的情况下,现代调度算法可以带来显著的性能效益和经济效益。在这篇综述中,我们回顾了铁路调度问题的最新研究方法。我们展示了在铁路调度文献中提出的许多不同的分解方法可以分为两个一般原则。我们研究了不同的解决方法,并为未来的研究确定了处理大规模问题的开放主题列表。
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引用次数: 0
Optimizing inventory control through a data-driven and model-independent framework 通过数据驱动和模型独立的框架优化库存控制
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2022.100103
Evangelos Theodorou, Evangelos Spiliotis, Vassilios Assimakopoulos

Machine learning has shown great potential in various domains, but its appearance in inventory control optimization settings remains rather limited. We propose a novel inventory cost minimization framework that exploits advanced decision-tree based models to approximate inventory performance at an item level, considering demand patterns and key replenishment policy parameters as input. The suggested approach enables data-driven approximations that are faster to perform compared to standard inventory simulations, while being flexible in terms of the methods used for forecasting demand or estimating inventory level, lost sales, and number of orders, among others. Moreover, such approximations can be based on knowledge extracted from different sets of items than the ones being optimized, thus providing more accurate proposals in cases where historical data are scarce or highly affected by stock-outs. The framework was evaluated using part of the M5 competition’s data. Our results suggest that the proposed framework, and especially its transfer learning variant, can result in significant improvements, both in terms of total inventory cost and realized service level.

机器学习在各个领域都显示出巨大的潜力,但它在库存控制优化设置中的出现仍然相当有限。我们提出了一种新的库存成本最小化框架,该框架利用基于高级决策树的模型,在考虑需求模式和关键补充政策参数作为输入的情况下,在项目层面近似库存绩效。建议的方法支持数据驱动的近似,与标准库存模拟相比,执行速度更快,同时在用于预测需求或估计库存水平、销售损失和订单数量等的方法方面具有灵活性。此外,这种近似可以基于从不同的项目集中提取的知识,而不是正在优化的知识,因此在历史数据稀缺或受缺货严重影响的情况下提供更准确的建议。该框架使用M5竞赛的部分数据进行了评估。我们的研究结果表明,所提出的框架,特别是它的迁移学习变体,可以在总库存成本和实现的服务水平方面产生显著的改善。
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引用次数: 4
Deep reinforcement learning for stochastic last-mile delivery with crowdshipping 众包随机最后一英里配送的深度强化学习
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2023.100105
Marco Silva , João Pedro Pedroso , Ana Viana

We study a setting in which a company not only has a fleet of capacitated vehicles and drivers available to make deliveries but may also use the services of occasional drivers (ODs) willing to make deliveries using their own vehicles in return for a small fee. Under such a business model, a.k.a crowdshipping, the company seeks to make all the deliveries at the minimum total cost, i.e., the cost associated with their vehicles plus the compensation paid to the ODs.

We consider a stochastic and dynamic last-mile delivery environment in which customer delivery orders, as well as ODs available for deliveries, arrive randomly throughout the day, within fixed time windows.

We present a novel deep reinforcement learning (DRL) approach to the problem that can deal with large problem instances. We formulate the action selection problem as a mixed-integer optimization program.

The DRL approach is compared against other optimization under uncertainty approaches, namely, sample-average approximation (SAA) and distributionally robust optimization (DRO). The results show the effectiveness of the DRL approach by examining out-of-sample performance.

我们研究了这样一种情况,在这种情况下,一家公司不仅拥有一组可用于送货的车辆和司机,而且还可能使用愿意使用自己的车辆送货的临时司机(ODs)的服务,以换取少量费用。在这种商业模式下,即众包,该公司寻求以最低的总成本完成所有的交付,即与他们的车辆相关的成本加上支付给od的补偿。我们考虑一个随机和动态的最后一英里交付环境,在这个环境中,客户交付订单以及可用的odd在固定的时间窗口内随机到达。我们提出了一种新的深度强化学习(DRL)方法,可以处理大型问题实例。我们将行动选择问题表述为一个混合整数优化方案。将DRL方法与其他不确定性优化方法,即样本平均近似(SAA)和分布鲁棒优化(DRO)进行了比较。通过对样本外性能的检验,验证了DRL方法的有效性。
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引用次数: 1
The aircraft recovery problem: A systematic literature review 飞机回收问题:系统的文献综述
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2023.100117
Mateus Santana, Jonathan De La Vega, Reinaldo Morabito, Vitória Pureza

Events that cause disruptions to air company flight schedules transporting passengers and cargo are commonplace in practice, and their operational and financial consequences are often relevant. The aircraft recovery problem (ARP) consists of recovering the flight schedules lost due to such events, determining new flight departure times and possible flight cancellations, as well as revising routes for different aircraft. In this study, the main characteristics considered in ARP papers to make the problem as realistic as possible are identified and a systematic literature review is carried out based on seminal studies of the problem in the 1980s. The literature papers are reviewed in terms of the ARP variants studied, the objectives chosen to be optimized and the practical constraints most often considered in real applications, as well as the networks and mathematical formulations to represent the problem and the solution approaches used to deal with it. The aim is to present an up-to-date review of the state-of-the-art of the ARP and to identify possible literature gaps and interesting opportunities for future research on this problem. It is noteworthy that, compared to the simplicity of the first ARP studies, the studies of the following decades tended to involve more complex variants of the problem as a way to become more adherent to current practical environments, requiring more elaborate formulations and solution methods to be properly addressed.

导致航空公司客运和货运航班时刻表中断的事件在实践中很常见,其运营和财务后果往往是相关的。飞机恢复问题(ARP)包括恢复由于这些事件而丢失的航班时刻表,确定新的航班起飞时间和可能的航班取消,以及修改不同飞机的航线。本研究确定了ARP论文中考虑的主要特征,使问题尽可能具有现实性,并在20世纪80年代对该问题的开创性研究的基础上进行了系统的文献综述。本文从研究的ARP变量、选择的优化目标和实际应用中最常考虑的实际约束,以及表示问题的网络和数学公式以及用于处理问题的解决方法等方面对文献论文进行了综述。目的是对ARP的最新技术进行最新的回顾,并确定可能的文献差距和未来研究这个问题的有趣机会。值得注意的是,与第一次ARP研究的简单性相比,随后几十年的研究往往涉及更复杂的问题变体,以便更符合当前的实际环境,需要更详细的公式和解决方法来适当处理。
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引用次数: 1
Evaluating pricing strategies for premium delivery time windows 评估优质交付时间窗口的定价策略
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2023.100108
Charlotte Köhler , Jan Fabian Ehmke , Ann Melissa Campbell , Catherine Cleophas

In the challenging environment of attended home deliveries, pricing delivery options can play a crucial role to ensure profitability and service quality of retailers. To differentiate between standard and premium delivery options, many retailers include time windows of various lengths and fees within their offer sets. Even though customers prefer short delivery time windows, longer time windows can help maintaining flexibility and profitability for the retailer. We classify pricing strategies along two dimensions: static versus dynamic price setting and whether an offer set can include one or multiple price points. For static pricing, we implement price configurations that reflect current business practice. For the dynamic pricing, we adapt routing mechanisms that consider the flexibility within the underlying route plan during the booking process and set delivery fees accordingly. To evaluate the pricing strategies under plausibly realistic conditions, we model customer behavior through a nested logit model. This model represents customer choice as sequential decisions between premium and standard time windows. We perform a computational study considering realistic travel and demand data to investigate the effectiveness of static and dynamic time window pricing. Finally, we offer managerial insights and an outlook into applying strategic analysis to decide on price setting strategies.

在送货上门的挑战环境下,定价送货选项可以发挥至关重要的作用,以确保零售商的盈利能力和服务质量。为了区分标准配送和高级配送选项,许多零售商在其提供的服务中包含了不同长度和费用的时间窗口。尽管顾客喜欢短的交货时间窗口,但较长的交货时间窗口可以帮助零售商保持灵活性和盈利能力。我们根据两个维度对定价策略进行分类:静态与动态价格设置,以及一个报价集是否可以包含一个或多个价格点。对于静态定价,我们实现反映当前业务实践的价格配置。对于动态定价,我们调整了路由机制,在预订过程中考虑底层路线计划的灵活性,并相应地设置送货费用。为了在看似现实的条件下评估定价策略,我们通过嵌套的logit模型对客户行为进行建模。该模型将客户选择表示为溢价时间窗口和标准时间窗口之间的顺序决策。本文通过计算研究,考虑了真实的出行和需求数据,探讨了静态和动态时间窗定价的有效性。最后,我们提供管理的见解和前景应用战略分析来决定价格制定策略。
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引用次数: 0
Exact and heuristic approaches to Truck–Drone Delivery Problems 卡车-无人机运输问题的精确和启发式方法
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2023-01-01 DOI: 10.1016/j.ejtl.2022.100094
Júlia C. Freitas, Puca Huachi V. Penna, Túlio A.M. Toffolo

Collaborative delivery employing drones in last-mile delivery has been an extensively studied topic in recent years. In this paper, it is studied Truck–Drone Delivery Problems (TDDPs) in which a traditional delivery truck is gathered with a drone to cut delivery times and costs. The vehicles work together in a hybrid operation involving one drone launching from a larger vehicle that operates as a mobile depot and a recharging platform. The drone launches from the truck with a single package to deliver to a customer. Each drone must return to the truck to recharge batteries, pick up another package, and launch again to a new customer location. This work proposes a novel Mixed Integer Programming (MIP) formulation and a heuristic approach to address the problem. The proposed MIP formulation yields better linear relaxation bounds than previously proposed formulations for all instances, and was capable of optimally solving several unsolved instances from the literature. A hybrid heuristic based on the General Variable Neighborhood Search metaheuristic combining Tabu Search concepts is employed to obtain high-quality solutions for large-size instances. The efficiency of the algorithm was evaluated on 1415 benchmark instances from the literature, and over 80% of the best known solutions were improved.

利用无人机进行最后一英里的协同配送是近年来人们广泛研究的课题。本文研究了卡车-无人机配送问题(TDDPs),其中传统的送货卡车与无人机聚集在一起,以减少送货时间和成本。这些车辆在混合操作中一起工作,其中一架无人机从一辆大型车辆上发射,该车辆既是移动仓库,也是充电平台。无人机从卡车上起飞,将一个包裹送到客户手中。每架无人机必须回到卡车上给电池充电,拿起另一个包裹,然后再次发射到一个新的客户位置。本文提出了一种新的混合整数规划(MIP)公式和一种启发式方法来解决这个问题。对于所有实例,所提出的MIP公式比先前提出的公式产生更好的线性松弛界,并且能够从文献中最优地解决几个未解决的实例。采用基于一般变量邻域搜索元启发式的混合启发式方法结合禁忌搜索概念,获得大实例的高质量解。该算法的效率在文献中的1415个基准实例上进行了评估,超过80%的最知名的解决方案得到了改进。
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引用次数: 3
期刊
EURO Journal on Transportation and Logistics
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