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Dual Bounds from Decision Diagram-Based Route Relaxations: An Application to Truck-Drone Routing 基于决策图的路线松弛的双重约束:卡车-无人机路由的应用
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-20 DOI: 10.1287/trsc.2021.0170
Ziye Tang, Willem-Jan van Hoeve
{"title":"Dual Bounds from Decision Diagram-Based Route Relaxations: An Application to Truck-Drone Routing","authors":"Ziye Tang, Willem-Jan van Hoeve","doi":"10.1287/trsc.2021.0170","DOIUrl":"https://doi.org/10.1287/trsc.2021.0170","url":null,"abstract":"For vehicle routing problems, strong dual bounds on the optimal value are needed to develop scalable exact algorithms as well as to evaluate the performance of heuristics. In this work, we propose an iterative algorithm to compute dual bounds motivated by connections between decision diagrams and dynamic programming models used for pricing in branch-and-cut-and-price algorithms. We apply techniques from the decision diagram literature to generate and strengthen novel route relaxations for obtaining dual bounds without using column generation. Our approach is generic and can be applied to various vehicle routing problems in which corresponding dynamic programming models are available. We apply our framework to the traveling salesman with drone problem and show that it produces dual bounds competitive to those from the state of the art. Applied to larger problem instances in which the state-of-the-art approach does not scale, our method outperforms other bounding techniques from the literature.Funding: This work was supported by the National Science Foundation [Grant 1918102] and the Office of Naval Research [Grants N00014-18-1-2129 and N00014-21-1-2240].Supplemental Material: The online appendix is available at https://doi.org/10.1287/trsc.2021.0170 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"15 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138825475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bicycle Flow Dynamics of Cyclist Loading and Unloading Processes at Bottlenecks 瓶颈处自行车装卸过程的自行车流动力学
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-14 DOI: 10.1287/trsc.2023.0193
Ning Guo, Wai Wong, Rui Jiang, S. C. Wong, Qing-Yi Hao, Chao-Yun Wu
{"title":"Bicycle Flow Dynamics of Cyclist Loading and Unloading Processes at Bottlenecks","authors":"Ning Guo, Wai Wong, Rui Jiang, S. C. Wong, Qing-Yi Hao, Chao-Yun Wu","doi":"10.1287/trsc.2023.0193","DOIUrl":"https://doi.org/10.1287/trsc.2023.0193","url":null,"abstract":"Cycling has emerged as one of the most important green transport modes in recent years, with cities increasingly prioritizing cycling in their sustainable policy agenda. However, the associated traffic dynamics, especially the evolution of bicycle flow at bottlenecks, have not been extensively studied. In this study, real-world experiments were conducted to investigate the dynamics of bicycle flow at bottlenecks under various cycling demands generated by the cyclist unloading and loading processes. Upon the activation of the bottleneck, its capacity remained largely constant. For the same physical system, the bottleneck capacity of the cyclist loading process exceeded that of the unloading process, indicating the occurrence of capacity drop and hysteresis. Statistical analyses demonstrated that the capacity drop was attributable to the difference in speeds of the two processes for the same cycling demands after the bottleneck activation. These findings could potentially be explained by behavioral inertia. Further analysis revealed that, compared with the unloading process, the cyclist loading process was associated with higher cycling speeds owing to the higher overtaking rates. The outcomes of this study can advance our understanding of the physics of bicycle flow dynamics and provide valuable insights for transport planning professionals involved in facility planning and control of existing networks. Funding: This work was supported by National Natural Science Foundation of China [Grants 71931002 and 72288101], the University of Hong Kong [Francis S Y Bong Professorship to S. C. Wong], the Guangdong-Hong Kong-Macau Joint Laboratory Program of the 2020 Guangdong New Innovative Strategic Research Fund, Guangdong Science and Technology Department [Grant 2020B1212030009], and Fundamental Research Funds for the Central Universities [Grant JZ2023YQTD0073]. Supplemental Material: The e-companion is available at https://doi.org/10.1287/trsc.2023.0193 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"71 2","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002286","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Introduction to the Special Issue on Machine Learning Methods and Applications in Large-Scale Route Planning Problems 大规模路线规划问题中的机器学习方法与应用》特刊简介
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-12 DOI: 10.1287/trsc.2023.intro.v58.n1
Matthias Winkenbach, Stefan Spinler, Julian Pachon, Karthik Konduri
{"title":"Introduction to the Special Issue on Machine Learning Methods and Applications in Large-Scale Route Planning Problems","authors":"Matthias Winkenbach, Stefan Spinler, Julian Pachon, Karthik Konduri","doi":"10.1287/trsc.2023.intro.v58.n1","DOIUrl":"https://doi.org/10.1287/trsc.2023.intro.v58.n1","url":null,"abstract":"In this paper, we introduce the Special Issue on Machine Learning Methods and Applications in Large-Scale Route Planning Problems, which draws its inspiration from the academic community’s positive reception of the 2021 Amazon Last Mile Routing Research Challenge. We provide a structured overview of the papers featured in this special issue, and briefly discuss other noteworthy contributions to the research challenge. Further, we point the reader to a number of peer-reviewed publications outside of this special issue that directly or indirectly emerged from the research challenge. We conclude by highlighting a number of important priorities for future research into applications of machine learning to real-world route planning problems.","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"29 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138579544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Electric Vehicle Scheduling in Public Transit with Capacitated Charging Stations 有充电站的公共交通电动汽车调度
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-12 DOI: 10.1287/trsc.2022.0253
Marelot H. de Vos, Rolf N. van Lieshout, Twan Dollevoet
{"title":"Electric Vehicle Scheduling in Public Transit with Capacitated Charging Stations","authors":"Marelot H. de Vos, Rolf N. van Lieshout, Twan Dollevoet","doi":"10.1287/trsc.2022.0253","DOIUrl":"https://doi.org/10.1287/trsc.2022.0253","url":null,"abstract":"This paper considers the scheduling of electric vehicles in a public transit system. Our main innovation is that we take into account that charging stations have limited capacity, while also considering partial charging. To solve the problem, we expand a connection-based network in order to track the state of charge of vehicles and model recharging actions. We then formulate the electric vehicle scheduling problem as a path-based binary program, whose linear relaxation we solve using column generation. We find integer feasible solutions using two heuristics: price-and-branch and a diving heuristic, including acceleration strategies. We test the approach using data from the concession Gooi en Vechtstreek in the Netherlands, containing up to 816 trips. The diving heuristic outperforms the other heuristic and solves the entire concession within seven hours of computation time with an optimality gap of less than 3%.Supplemental Material: The online appendix is available at https://doi.org/10.1287/trsc.2022.0253 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"37 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138579553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Neural Network Estimators for Optimal Tour Lengths of Traveling Salesperson Problem Instances with Arbitrary Node Distributions 具有任意节点分布的旅行推销员问题实例最佳行程长度的神经网络估算器
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-12 DOI: 10.1287/trsc.2022.0015
Taha Varol, Okan Örsan Özener, Erinç Albey
{"title":"Neural Network Estimators for Optimal Tour Lengths of Traveling Salesperson Problem Instances with Arbitrary Node Distributions","authors":"Taha Varol, Okan Örsan Özener, Erinç Albey","doi":"10.1287/trsc.2022.0015","DOIUrl":"https://doi.org/10.1287/trsc.2022.0015","url":null,"abstract":"It is essential to solve complex routing problems to achieve operational efficiency in logistics. However, because of their complexity, these problems are often tackled sequentially using cluster-first, route-second frameworks. Unfortunately, such two-phase frameworks can suffer from suboptimality due to the initial phase. To address this issue, we propose leveraging information about the optimal tour lengths of potential clusters as a preliminary step, transforming the two-phase approach into a less myopic solution framework. We introduce quick and highly accurate Traveling Salesperson Problem (TSP) tour length estimators based on neural networks (NNs) to facilitate this. Our approach combines the power of NNs and theoretical knowledge in the routing domain, utilizing a novel feature set that includes node-level, instance-level, and solution-level features. This hybridization of data and domain knowledge allows us to achieve predictions with an average deviation of less than 0.7% from optimality. Unlike previous studies, we design and employ new instances replicating real-life logistics networks and morphologies. These instances possess characteristics that introduce significant computational costs, making them more challenging. To address these challenges, we develop a novel and efficient method for obtaining lower bounds and partial solutions to the TSP, which are subsequently utilized as solution-level predictors. Our computational study demonstrates a prediction error up to six times lower than the best machine learning (ML) methods on their training instances and up to 100 times lower prediction error on out-of-distribution test instances. Furthermore, we integrate our proposed ML models with metaheuristics to create an enumeration-like solution framework, enabling the improved solution of massive-scale routing problems. In terms of solution time and quality, our approach significantly outperforms the state-of-the-art solver, demonstrating the potential of our features, models, and the proposed method.History: This paper has been accepted for the Transportation Science Special Issue on Machine Learning Methods and Applications in Large-Scale Route Planning Problems.Supplemental Material: The online appendix is available at https://doi.org/10.1287/trsc.2022.0015 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"80 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138579545","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Real-Time Control Policy to Achieve Maximum Throughput of an Online Order Fulfillment Network 实现在线订单执行网络最大吞吐量的实时控制政策
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-12 DOI: 10.1287/trsc.2023.0096
Michael Levin
{"title":"A Real-Time Control Policy to Achieve Maximum Throughput of an Online Order Fulfillment Network","authors":"Michael Levin","doi":"10.1287/trsc.2023.0096","DOIUrl":"https://doi.org/10.1287/trsc.2023.0096","url":null,"abstract":"Several major companies operate large online order fulfillment systems to ship goods from fulfillment centers through a distribution network to customer destinations in response to purchase orders. These networks make several types of decisions in real-time to serve customers. First, when a customer places an order, when and where (which fulfillment center) is it fulfilled from? Second, once an order has been packaged, how is it moved through the network to get to the customer? Making optimal decisions can yield significant cost savings or improvements in customer service. Unfortunately, these are large optimization problems, and are furthermore subject to uncertainty in the products and destinations of customer orders and the inventory replenishment of the fulfillment centers. This uncertainty makes the problem difficult to solve to optimality. Although the problem can be modeled as a Markov decision process, solving it exactly using standard computational methods is not possible due to the curse of dimensionality. We propose an alternative approach to this problem. We define a relatively simple real-time control policy and prove that it serves all customer demand if at all possible. This proof is achieved using Lyapunov drift techniques to relate the real-time control performance to the average performance necessary to serve all customers on average. Correspondingly, we characterize the average network performance, which may be used for network topology design while the control policy adapts to real-time stochasticity. We demonstrate the performance and stability properties on a numerical example based on hundreds of Amazon facility locations in the United States. The max-pressure control and greedy policies perform similarly at low demands, but at higher demand the throughput properties of the max-pressure control manifest as improvements in throughput and customer service metrics.Funding: Financial support from the National Science Foundation [Grant 1935514] is gratefully acknowledged.Supplemental Material: The e-companion is available at https://doi.org/10.1287/trsc.2023.0096 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"118 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138579404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Synchronized Deliveries with a Bike and a Self-Driving Robot 用自行车和自动驾驶机器人同步送货
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-08 DOI: 10.1287/trsc.2023.0169
Yanlu Zhao, Diego Cattaruzza, Ningxuan Kang, Roberto Roberti
{"title":"Synchronized Deliveries with a Bike and a Self-Driving Robot","authors":"Yanlu Zhao, Diego Cattaruzza, Ningxuan Kang, Roberto Roberti","doi":"10.1287/trsc.2023.0169","DOIUrl":"https://doi.org/10.1287/trsc.2023.0169","url":null,"abstract":"Online e-commerce giants are continuously investigating innovative ways to improve their practices in last-mile deliveries. Inspired by the current practices at JD.com (the largest online retailer by revenue in China), we investigate a delivery problem that we call the traveling salesman problem with bike and robot (TSPBR), where a cargo bike is aided by a self-driving robot to deliver parcels to customers in urban areas. We present two mixed-integer linear programming models and describe a set of valid inequalities to strengthen their linear relaxation. We show that these models can yield optimal solutions of TSPBR instances with up to 60 nodes. To efficiently find heuristic solutions, we also present a genetic algorithm based on a dynamic programming recursion that efficiently explores large neighborhoods. We computationally assess this genetic algorithm on instances provided by JD.com and show that high-quality solutions can be found in a few minutes of computing time. Finally, we provide some managerial insights to assess the impact of deploying the bike-and-robot tandem to deliver parcels in the TSPBR setting.","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"11 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138589956","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Empowering the Capillary of the Urban Daily Commute: Battery Deployment Analysis for the Locker-Based E-bike Battery Swapping 为城市日常通勤的 "毛细血管 "赋能:基于储物柜的电动自行车电池更换的电池部署分析
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-06 DOI: 10.1287/trsc.2022.0132
Xiaolei Xie, Xu Dai, Zhi Pei
{"title":"Empowering the Capillary of the Urban Daily Commute: Battery Deployment Analysis for the Locker-Based E-bike Battery Swapping","authors":"Xiaolei Xie, Xu Dai, Zhi Pei","doi":"10.1287/trsc.2022.0132","DOIUrl":"https://doi.org/10.1287/trsc.2022.0132","url":null,"abstract":"In densely populated Asian countries, e-bikes have become a new supernova in daily urban transportation. To facilitate the operations of e-bike-based mobility, the present paper studies the management of the battery deployment for the e-bike battery-swapping system, where the unique features of e-bike riding are considered. Given the pedal-assisted mode, e-bike users could abandon waiting and return to the station later on without too much range anxiety. However, because of the time-varying nature of the customer arrival and the complicated user behaviors, the battery quantity at each station is altered to guarantee the designated service level. However, little research has been done on the operations management of the e-bike battery-swapping system. To bridge the gap, we propose a nonstationary queueing network model to characterize the customer behaviors during the battery-swapping service. Then we develop a closed-form delayed infinite-server fluid approximation for the battery deployment of the one-time-loop scenario under various quality-of-service targets. In addition, we handle the infinite-time-loop scenario with the simulation-based iterative staffing algorithm. In the simulation study, we observe that the proposed battery deployment algorithms can help stabilize the system performance in terms of abandonment probability and expected delay in the face of time-varying demand and complex customer behaviors. Moreover, we reveal that the number of return loops correlates with the service level targets on the battery deployment decision. Furthermore, a time gap exists between the demand and the optimal battery deployment, making proactive battery management in the system possible.Funding: This work was supported by the National Natural Science Foundation of China [Grants 72271222, 71871203, 71872093, 72271137, L1924063], and the National Social Science Fund of China [Grant 21&ZD128].Supplemental Material: The online appendix is available at https://doi.org/10.1287/trsc.2022.0132 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"67 1","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138546779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic Courier Capacity Acquisition in Rapid Delivery Systems: A Deep Q-Learning Approach 快速投递系统中的动态快递能力获取:一种深度q -学习方法
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-12-04 DOI: 10.1287/trsc.2022.0042
Ramon Auad, Alan Erera, Martin Savelsbergh
{"title":"Dynamic Courier Capacity Acquisition in Rapid Delivery Systems: A Deep Q-Learning Approach","authors":"Ramon Auad, Alan Erera, Martin Savelsbergh","doi":"10.1287/trsc.2022.0042","DOIUrl":"https://doi.org/10.1287/trsc.2022.0042","url":null,"abstract":"With the recent boom of the gig economy, urban delivery systems have experienced substantial demand growth. In such systems, orders are delivered to customers from local distribution points respecting a delivery time promise. An important example is a restaurant meal delivery system, where delivery times are expected to be minutes after an order is placed. The system serves orders by making use of couriers that continuously perform pickups and deliveries. Operating such a rapid delivery system is very challenging, primarily because of the high service expectations and the considerable uncertainty in both demand and delivery capacity. Delivery providers typically plan courier shifts for an operating period based on a demand forecast. However, because of the high demand volatility, it may at times during the operating period be necessary to adjust and dynamically add couriers. We study the problem of dynamically adding courier capacity in a rapid delivery system and propose a deep reinforcement-learning approach to obtain a policy that balances the cost of adding couriers and the cost-of-service quality degradation because of insufficient delivery capacity. Specifically, we seek to ensure that a high fraction of orders is delivered on time with a small number of courier hours. A computational study in the meal delivery space shows that a learned policy outperforms policies representing current practice and demonstrates the potential of deep learning for solving operational problems in highly stochastic logistic settings.History: This paper has been accepted for the Transportation Science Special Issue on Machine-Learning Methods and Applications in Large-Scale Route Planning Problems.Funding: This work was supported by Agencia Nacional de Investigación y Desarrollo [72180404].Supplemental Material: The e-companion is available at https://doi.org/10.1287/trsc.2022.0042 .","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":" 32","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138493964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The Orienteering Problem with Drones 无人机定向运动的问题
IF 4.6 2区 工程技术
Transportation Science Pub Date : 2023-11-29 DOI: 10.1287/trsc.2023.0003
Nicola Morandi, Roel Leus, Hande Yaman
{"title":"The Orienteering Problem with Drones","authors":"Nicola Morandi, Roel Leus, Hande Yaman","doi":"10.1287/trsc.2023.0003","DOIUrl":"https://doi.org/10.1287/trsc.2023.0003","url":null,"abstract":"We extend the classical problem setting of the orienteering problem (OP) to incorporate multiple drones that cooperate with a truck to visit a subset of the input nodes. We call this problem the OP with multiple drones (OP-mD). Drones have a limited battery endurance, and thus, they can either move together with the truck at no energy cost for the battery or be launched by the truck onto short flights that must start and end at different customer locations. A drone serves exactly one customer per flight. Moreover, the truck and the drones must wait for each other at the landing locations. A customer prize can be collected at most once, either upon visiting it by the truck or upon serving it by a drone. Similarly to the OP, we maximize the total collected prize under the condition that the truck and the drones return to the depot within a given amount of time. We provide a mixed-integer linear programming formulation for the OP-mD and devise a tailored branch-and-cut algorithm based on a novel decomposition of the problem. We solve instances of the OP-mD with up to 50 nodes within one hour of CPU time with a standard computational setup. Finally, we adapt our framework to solve closely related problems in the literature and compare the resulting computational performance with that of previous studies.","PeriodicalId":51202,"journal":{"name":"Transportation Science","volume":"80 7","pages":""},"PeriodicalIF":4.6,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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