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Practical Distributed Control for Cooperative VTOL UAVs Within a 3-D Roundabout 三维回旋处协同垂直起降无人机的实用分布式控制
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-13 DOI: 10.1109/TITS.2025.3570005
Rao Fu;Pengda Mao;Yangqi Lei;Kai-Yuan Cai;Quan Quan
With the rapid development of uncrewed aerial vehicle (UAV) technology in recent years, research on large-scale low-altitude UAV air traffic management (ATM) has gained attention. Unlike the traditional ATM, the number of small UAVs in the airspace may be in the millions, making air traffic management challenging. In an ATM, airspace is composed of airways, intersections, and nodes. In this paper, a three-dimensional (3-D) roundabout model is utilized as an airspace structure for air traffic intersections of known traffic network models, which is decomposed into a central island, several ramps, and buffer zones. In this paper, for simplicity, the distributed coordination of the motions of Vertical TakeOff and Landing (VTOL) UAVs to pass through a 3-D roundabout is focused on, which is formulated as a 3-D roundabout passing-through problem. The corresponding control objectives include inter-agent conflict-free, keeping within the 3-D curved virtual tube, and avoiding local minima. Lyapunov-like functions are designed elaborately, and formal analysis is made to show that all UAVs can pass through the 3-D roundabout without getting trapped. Taking the kinematic model of VTOL UAVs into consideration, the horizontal control and attitude control channels are decoupled, which is more reasonable for practical applications. Numerical simulation and real experiment are given to show the effectiveness of the proposed method.
近年来,随着无人机技术的快速发展,大型低空无人机空中交通管理(ATM)的研究受到了人们的关注。与传统的ATM不同,空域中的小型无人机数量可能达到数百万,这给空中交通管理带来了挑战。在ATM中,空域由航路、交叉口和节点组成。本文采用三维环形交叉口模型作为已知交通网络模型中空中交通交叉口的空域结构,将其分解为一个中心岛、若干匝道和缓冲区。为简单起见,本文主要研究垂直起降无人机通过三维回旋处时的分布式运动协调问题,将其表述为三维回旋处通过问题。相应的控制目标包括agent间无冲突、保持在三维弯曲虚拟管内、避免局部最小。精心设计了类李雅普诺夫函数,并进行了形式化分析,证明所有无人机都可以通过三维回旋处而不被困住。考虑垂直起降无人机的运动模型,将水平控制通道和姿态控制通道解耦,更符合实际应用。通过数值仿真和实际实验验证了该方法的有效性。
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引用次数: 0
Modeling Multi-Granularity Context Information Flow for Pavement Crack Detection 面向路面裂缝检测的多粒度上下文信息流建模
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-12 DOI: 10.1109/TITS.2024.3438883
Junbiao Pang;Baocheng Xiong;Jiaqi Wu;Qingming Huang
Pavement cracks have a highly complex spatial structure, a low contrasting background and a weak spatial continuity, posing a significant challenge to an effective crack detection method. To precisely localize crack from an image, it is critical to effectively extract and aggregate multi-granularity context, including the fine-grained local context around the cracks (in spatial-level) and the coarse-grained semantics (in semantic-level). In this paper, we apply the dilated convolution as the backbone feature extractor to model local context, then we build a context guidance module to leverage semantic context to guide local feature extraction at multiple stages. To handle label alignment between stages, we apply the Multiple Instance Learning (MIL) strategy to align the feature between two stages. In addition, to our best knowledge, we have released the largest, most complex and most challenging Bitumen Pavement Crack (BPC) dataset. The experimental results on the three crack datasets demonstrate that the proposed method performs well and outperforms the current state-of-the-art methods. On BPC, the proposed model achieved AP 88.32% with the 16.89 M parameters under the 45.36 GFlops runing speed. Datset and code are publicly available at: https://github.com/pangjunbiao/BPC-Crack-Dataset.
路面裂缝具有高度复杂的空间结构,背景对比度低,空间连续性弱,这给有效的裂缝检测方法带来了很大的挑战。为了从图像中精确定位裂缝,关键是要有效地提取和聚合多粒度上下文,包括裂缝周围的细粒度局部上下文(在空间层面)和粗粒度语义(在语义层面)。本文采用扩展卷积作为主干特征提取器对局部上下文进行建模,然后构建上下文引导模块,利用语义上下文指导多阶段的局部特征提取。为了处理阶段之间的标签对齐,我们应用多实例学习(MIL)策略来对齐两个阶段之间的特征。此外,据我们所知,我们已经发布了最大、最复杂、最具挑战性的沥青路面裂缝(BPC)数据集。在三个裂纹数据集上的实验结果表明,该方法性能良好,优于目前最先进的方法。在BPC上,该模型在45.36 GFlops的运行速度下,以16.89 M的参数实现了88.32%的AP。数据集和代码可在:https://github.com/pangjunbiao/BPC-Crack-Dataset上公开获取。
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引用次数: 0
ICST-DNET: An Interpretable Causal Spatio-Temporal Diffusion Network for Traffic Speed Prediction 交通速度预测的可解释因果时空扩散网络
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-12 DOI: 10.1109/TITS.2025.3574837
Yi Rong;Yingchi Mao;Yinqiu Liu;Ling Chen;Xiaoming He;Guojian Zou;Shahid Mumtaz;Dusit Niyato
Traffic speed prediction is significant for intelligent navigation and congestion alleviation. However, making accurate predictions is challenging due to three factors: 1) traffic diffusion, i.e., the spatial and temporal causality existing between the traffic conditions of multiple neighboring roads, 2) the poor interpretability of traffic data with complicated spatio-temporal correlations, and 3) the latent pattern of traffic speed fluctuations over time, such as morning and evening rush. Jointly considering these factors, in this paper, we present a novel architecture for traffic speed prediction, called Interpretable Causal Spatio-Temporal Diffusion Network (ICST-DNET). Specifically, ICST-DNET consists of three parts, namely the Spatio-Temporal Causality Learning (STCL), Causal Graph Generation (CGG), and Speed Fluctuation Pattern Recognition (SFPR) modules. First, to model the traffic diffusion within road networks, an STCL module is proposed to capture both the temporal causality on each individual road and the spatial causality in each road pair. The CGG module is then developed based on STCL to enhance the interpretability of the traffic diffusion procedure from the temporal and spatial perspectives. Specifically, a time causality matrix is generated to explain the temporal causality between each road’s historical and future traffic conditions. For spatial causality, we utilize causal graphs to visualize the diffusion process in road pairs. Finally, to adapt to traffic speed fluctuations in different scenarios, we design a personalized SFPR module to select the historical timesteps with strong influences for learning the pattern of traffic speed fluctuations. Extensive experimental results on two real-world traffic datasets prove that ICST-DNET can outperform all existing baselines, as evidenced by the higher prediction accuracy, ability to explain causality, and adaptability to different scenarios.
交通速度预测对于智能导航和缓解拥堵具有重要意义。然而,由于交通扩散,即多个相邻道路的交通状况之间存在时空因果关系,交通数据的可解释性较差,时空相关性复杂,交通速度随时间波动的潜在模式,如早高峰和晚高峰,因此要做出准确的预测是一项挑战。综合考虑这些因素,本文提出了一种新的交通速度预测架构,称为可解释因果时空扩散网络(ICST-DNET)。具体来说,ICST-DNET由三个部分组成,即时空因果关系学习(STCL)、因果图生成(CGG)和速度波动模式识别(SFPR)模块。首先,为了模拟道路网络内的交通扩散,提出了一个STCL模块来捕获每条道路上的时间因果关系和每条道路对的空间因果关系。然后,基于STCL开发了CGG模块,从时间和空间的角度增强了交通扩散过程的可解释性。具体来说,生成时间因果矩阵来解释每条道路的历史和未来交通状况之间的时间因果关系。对于空间因果关系,我们利用因果图来可视化道路对中的扩散过程。最后,为了适应不同场景下的交通速度波动,我们设计了个性化的SFPR模块,选择影响较大的历史时间步长进行交通速度波动模式的学习。在两个真实交通数据集上的大量实验结果证明,ICST-DNET可以优于所有现有的基线,这证明了其更高的预测精度、解释因果关系的能力以及对不同场景的适应性。
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引用次数: 0
VEH-Attack: Stealthy Tracking of Train Passengers With Side-Channel Attack on Vibration Energy Harvesting Wearables veh攻击:利用振动能量收集可穿戴设备的侧通道攻击对火车乘客进行隐形跟踪
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-12 DOI: 10.1109/TITS.2025.3576220
Marzieh Jalal Abadi;Sara Khalifa;Mahbub Hassan;Salil Kanhere;Mohamed Ali Kaafar
Vibration energy harvesting (VEH) has emerged as a viable option for mobile devices that serves the dual purpose of generating power and sensing ambient vibrations. This paper highlights the location privacy leakage resulting from unrestricted access to seemingly innocuous VEH data on mobile devices. We present VEH-Attack, a side-channel attack that exploits an inference model and VEH data patterns generated from train vibrations, enabling precise tracking of train passengers. VEH-Attack achieves an accuracy of 97% and 83.13% for VEH derived data and actual VEH data, respectively, for trip length of 6 stations with the accuracy reaching 100% for longer trip lengths.
振动能量收集(VEH)已经成为移动设备的一种可行选择,它具有发电和感知环境振动的双重目的。本文强调了由于移动设备上看似无害的VEH数据的无限制访问而导致的位置隐私泄露。我们提出了VEH攻击,这是一种利用火车振动产生的推理模型和VEH数据模式的侧信道攻击,可以精确跟踪火车乘客。对于6个站点的行程长度,VEH- attack在VEH衍生数据和实际VEH数据上的准确率分别达到97%和83.13%,对于更长的行程长度,准确率达到100%。
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引用次数: 0
Train Timetabling With Stop Planning and Passenger Distributing Integration Orientated by Railway Capacity and Passenger Service 以铁路运力和客运服务为导向的列车进站规划与旅客分配一体化调度
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-11 DOI: 10.1109/TITS.2025.3574789
Ruxin Wang;Lei Nie;Yuyan Tan
In the process of railway operation planning, it is essential to take into account both railway capacity and origin to destination (OD) passenger demand. Stop plan plays a vital role in generating a train timetable with maximum railway capacity and ensuring high-quality service to transport passengers. Therefore, we are addressing the challenge of optimizing both the stop plan and timetable for a group of trains on a railway line, focusing on railway capacity estimation and passenger demand satisfaction. To provide realistic and precise passenger distribution, the preferences of different categories of passengers are given due regard. A classic time-space network describes the integrated problem, based on which a mathematical model is formulated to minimize train occupancy time on the high-speed railway line and maximize passenger kilometers at the same time. A decomposition approach based on Lagrangian relaxation (LR) is suggested to address the problem, which decomposes the integrated scheduling problem into two sub-problems: a train timetabling sub-problem, and a stop planning and passenger distributing sub-problem by dualizing constraints linking the two. A heuristic approach based on genetic algorithms is designed to obtain feasible solutions. The proposed model and approach are shown to generate good solutions efficiently. A series of real-world instances are conducted on the Beijing-Shanghai high-speed railway line in China, and the experimental outcomes show the benefits of optimizing the stop plan. Other related analyses are discussed by comparing results with different total number of stops, heterogeneous and homogeneous cases.
在铁路运营规划过程中,既要考虑铁路运力,又要考虑始发目的地旅客需求。停靠计划在生成最大铁路运力的列车时刻表和确保向旅客提供高质量服务方面起着至关重要的作用。因此,我们正在解决的挑战是优化一组列车在一条铁路线上的停靠计划和时间表,重点是铁路容量估计和乘客需求满意度。为了提供真实准确的乘客分布,我们充分考虑了不同类别乘客的偏好。用经典的时空网络描述了这一综合问题,在此基础上建立了高速铁路列车占用时间最小化和客运公里数最大化的数学模型。提出了一种基于拉格朗日松弛(LR)的分解方法,将综合调度问题分解为两个子问题:列车调度子问题和车站规划及乘客分配子问题。设计了一种基于遗传算法的启发式方法来获得可行解。所提出的模型和方法可以有效地生成良好的解。在中国京沪高速铁路上进行了一系列的实际实例,实验结果表明了优化停车计划的好处。通过比较不同停车总数、异质和同质情况下的结果,讨论了其他相关分析。
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引用次数: 0
Distributed Collaborative Computing for Task Completion Rate Maximization in Vehicular Edge Computing 车辆边缘计算中任务完成率最大化的分布式协同计算
IF 8.4 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-10 DOI: 10.1109/TITS.2025.3573718
Lei Liu;Zitong Zhao;Jie Feng;Feng Xu;Yue Zhang;Qingqi Pei;Ming Xiao
Benefiting from the outstanding advantages in speeding up task processing and saving energy consumption, vehicular edge computing has entered a period of rapid development. Given the sharp increase in application services, it is vital to fully utilize all available computation resources to guarantee personalized requirements from different users. Specially, a lot of idle vehicle resources can be exploited for task execution to improve the service experience. On the other hand, most works focus on the system performance and fail to guarantee diversified user demands. To this end, we propose a novel distributed collaborative computing scheme for task completion rate maximization (TCRM) in vehicular networks by taking into account both vertical and horizontal collaboration. The novelty of horizontal collaboration lies in the full use of available one-hop vehicle resources for task computing. In order to simultaneously guarantee the system-level performance and the user-level performance, TCRM aims to maximize the task completion rate while minimizing the energy consumption by intelligent resource optimization and task allocation. A TD3-based algorithm combined with the Dirichlet distribution is proposed to obtain the optimization decisions. Extensive simulations demonstrate that TCRM significantly improves performance compared to baseline algorithms.
得益于在加快任务处理速度、节约能耗等方面的突出优势,车载边缘计算进入了快速发展期。考虑到应用程序服务的急剧增加,充分利用所有可用的计算资源以保证不同用户的个性化需求至关重要。特别是,可以利用大量空闲的车辆资源执行任务,提高服务体验。另一方面,大多数工作都集中在系统性能上,未能保证用户需求的多样化。为此,我们提出了一种新的分布式协同计算方案,用于车辆网络中任务完成率最大化(TCRM),该方案考虑了垂直和水平协作。横向协作的新颖之处在于充分利用可用的单跳车辆资源进行任务计算。为了同时保证系统级性能和用户级性能,TCRM旨在通过智能资源优化和任务分配实现任务完成率最大化和能耗最小化。提出了一种基于td3和Dirichlet分布相结合的优化决策算法。大量的仿真表明,与基线算法相比,TCRM显着提高了性能。
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引用次数: 0
Lane Detection on Rainy Nights Based on Memory and Discretization Mechanisms 基于记忆和离散化机制的雨夜车道检测
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-10 DOI: 10.1109/TITS.2025.3574763
Yonghang Li;Chang Wang;Yifei Wang;Miao Ren;Jin Niu;Jikang Zhao;Kai Du
The reflections of multi-colored lights involved on rainy nights present strong uncertainties and abruptness, resulting in a high rate of false and missed detections in existing methods. To solve this issue, this paper proposes a lane detection method based on memory and discretization mechanisms. Firstly, a Memory Fruit-fly-optimizer with Individual Differences (MFID) is innovatively proposed to drive Multi-threshold Otsu (MOtsu)-based multi-class segmentation of lanes, which is a high-dimensional optimization task with real-time and local optimal challenges, for capturing lane clues obscured in multi-intensity reflections, consequently reducing missed detections. Specifically, to solve the challenges inherent in the task, the MFID incorporates a novel memory mechanism to establish fast-converging initial conditions for real-time detection, while creatively considering individual differences to motivate multi-swarm optimization that mitigates local optima risks. After integration, the MFID-MOtsu is constructed for lane segmentation. Subsequently, a dynamic discretization mechanism is proposed to efficiently separate lane edges from interference edges, mitigating accuracy degradation caused by their entanglement. Finally, the false detection issue is greatly reduced through the implementation of adaptive geometric filters. The experimental results demonstrate that the proposed method achieves an average accuracy of 93.21% on rainy nights, indicating an average improvement of 12.7% over state-of-the-art methods. Additionally, without any parameter modifications, the proposed method is applicable to both normal and classic challenging scenes, such as nights, tunnels, rainy days, and shadows. The algorithm achieves an average accuracy of 96.2% and an average detection speed of 46 frames per second.
雨夜多色光的反射具有很强的不确定性和突然性,导致现有方法的误检率和漏检率很高。为了解决这一问题,本文提出了一种基于记忆和离散化机制的车道检测方法。首先,创新性地提出了一种基于个体差异的记忆果蝇优化器(MFID)来驱动基于多阈值大津(MOtsu)的多类别车道分割,这是一项具有实时和局部最优挑战的高维优化任务,用于捕获多强度反射中模糊的车道线索,从而减少漏检。具体来说,为了解决任务中固有的挑战,MFID结合了一种新的记忆机制来建立快速收敛的实时检测初始条件,同时创造性地考虑个体差异来激发多群优化,从而降低局部最优风险。整合后,构造MFID-MOtsu进行车道分割。在此基础上,提出了一种动态离散化机制,有效地将车道边缘与干扰边缘分离,降低了车道边缘纠缠对精度的影响。最后,通过自适应几何滤波器的实现,大大降低了误检问题。实验结果表明,该方法在雨夜的平均准确率为93.21%,比现有方法平均提高12.7%。此外,在不修改参数的情况下,该方法既适用于正常场景,也适用于经典的挑战性场景,如夜晚、隧道、雨天和阴影。该算法的平均检测准确率为96.2%,平均检测速度为46帧/秒。
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引用次数: 0
Dissipating Traffic Waves in Mixed Vehicle Platoons: A Controller-Matching-Based Double-Layer Distributed Model Predictive Control Approach 混合车辆队列交通波的消散:一种基于控制器匹配的双层分布式模型预测控制方法
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-10 DOI: 10.1109/TITS.2025.3575540
Panshuo Li;Xingyan Mao;Chao Huang;Pengxu Li
This study proposes a novel distributed model predictive control (DMPC) approach for mixed vehicle platoons (MVPs), which achieves driving safety, asymptotic stability, and traffic wave dissipation simultaneously. The longitudinal dynamics model and safety constraints are first established for each vehicle. The MVPs are divided into several sub-platoons according to the distribution of connected-and-automated vehicles (CAVs) and human-driven vehicles (HDVs). Then, a compound controller to ensure the head-to-tail string stability of MVPs is constructed as a reference controller for the subsequent design of the double-layer distributed model predictive controller (DL-DMPC). To describe the behavior of human drivers, a car-following model specific to HDVs is developed. On the basis of the designed compound controller and the description of HDVs, the DL-DMPC is proposed. The first layer improves tracking performance and satisfies the state constraints of each CAV under different communication topologies through an optimization problem. The second layer utilizes controller-matching technology to ensure the asymptotic stability of vehicle platoons and dissipate traffic waves. With the above double-layer structure, the DL-DMPC can simultaneously address multiple tasks and is applicable in various communication topologies. Simulations and analyses based on the NGSIM dataset are conducted in various scenarios to validate the effectiveness of the developed approach.
提出了一种新型的混合车辆队列分布式模型预测控制(DMPC)方法,该方法可以同时实现混合车辆队列的行驶安全性、渐近稳定性和交通波耗散。首先建立了每辆车的纵向动力学模型和安全约束。根据联网和自动驾驶车辆(cav)和人类驾驶车辆(hdv)的分布,mvp被分成几个子排。在此基础上,构造了一种复合控制器,以保证mvp的首尾稳定,作为后续设计双层分布式模型预测控制器(DL-DMPC)的参考控制器。为了描述人类驾驶员的行为,开发了一种针对hdv的汽车跟随模型。在设计复合控制器的基础上,根据hdv的描述,提出了DL-DMPC。第一层通过优化问题提高跟踪性能,满足各CAV在不同通信拓扑下的状态约束。第二层采用控制器匹配技术,保证车辆排的渐近稳定,并消除交通波。DL-DMPC采用上述双层结构,可以同时处理多个任务,适用于各种通信拓扑。基于NGSIM数据集在不同场景下进行了仿真和分析,以验证所开发方法的有效性。
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引用次数: 0
Learning an Active Inference Model of Driver Perception and Control: Application to Vehicle Car-Following 学习驾驶员感知与控制的主动推理模型:在车辆跟车中的应用
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-10 DOI: 10.1109/TITS.2025.3574552
Ran Wei;Alfredo Garcia;Anthony McDonald;Gustav Markkula;Johan Engstrom;Matthew O'Kelly
In this paper we introduce a general estimation methodology for learning a model of human perception and control in a sensorimotor control task based upon a finite set of demonstrations. The model’s structure consists of (i) the agent’s internal representation of how the environment and associated observations evolve as a result of control actions and (ii) the agent’s preferences over observable outcomes. We consider a model’s structure specification consistent with active inference, a theory of human perception and behavior from cognitive science. According to active inference, the agent acts upon the world so as to minimize surprise defined as a measure of the extent to which an agent’s current sensory observations differ from its preferred sensory observations. We propose a bi-level optimization approach to estimation which relies on a structural assumption on prior distributions that parameterize the statistical accuracy of the human agent’s model of the environment. To illustrate the proposed methodology, we present the estimation of a model for car-following behavior based upon a naturalistic dataset. Overall, the results indicate that learning active inference models of human perception and control from data is a promising alternative to closed-box models of driving.
在本文中,我们介绍了一种通用的估计方法,用于在有限的演示集的基础上学习人类感知和控制的感觉运动控制任务模型。该模型的结构包括(i)代理对环境和相关观察结果如何作为控制行为的结果而演变的内部表示,以及(ii)代理对可观察结果的偏好。我们认为模型的结构规范与主动推理是一致的,主动推理是认知科学中关于人类感知和行为的理论。根据主动推理,智能体对世界采取行动,以最大限度地减少惊喜,惊喜被定义为智能体当前感官观察与其首选感官观察差异程度的度量。我们提出了一种双层优化估计方法,该方法依赖于先验分布的结构假设,该假设参数化了人类代理的环境模型的统计准确性。为了说明所提出的方法,我们提出了基于自然数据集的汽车跟随行为模型的估计。总的来说,研究结果表明,从数据中学习人类感知和控制的主动推理模型是一种有希望的替代封闭的驾驶模型。
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引用次数: 0
Joint Optimization of Transit Network Design, Timetable, and Passenger Assignment With Exact Transfer Behavior Modeling 基于精确换乘行为模型的公交网络设计、时刻表和乘客分配联合优化
IF 7.9 1区 工程技术 Q1 ENGINEERING, CIVIL Pub Date : 2025-06-09 DOI: 10.1109/TITS.2025.3573284
Yunyi Liang;Constantinos Antoniou;Mohammad Sadrani;Jinjun Tang
This study investigates the problem of joint optimization of transit network design, timetable, and passenger assignment with exact transfer behavior modeling. The problem is formulated as a bi-level mixed-integer bilinear program to capture passengers’ realistic path choice behavior. The upper-level model aims to minimize the weighted sum of the cost of bus route construction, bus route operation, bus station construction, travel time of passengers, the delay caused by failures in aboarding to the bus trips at the origin, the delay caused by failures in transfer between the bus trips, and the overflow delay when the bus trip operates at capacity. The lower-level model aims to minimize the travel time of passengers. The travel time of passengers is formulated as the sum of the waiting time for boarding, the transfer time, and the in-vehicle travel time. The passenger transfer time and the delay caused by failures in transfer between the bus trips are formulated with exact modeling of passenger transfer behavior. This bi-level mixed-integer bilinear program is transformed into an equivalent mixed-integer bilinear program with equilibrium constraints using Karush-Kuhn-Tucker conditions. To seek a solution of good quality to the proposed model while not requiring a large amount of computer memory, a Benders decomposition algorithm integrated with piecewise linearization is developed. A numerical application demonstrates that the proposed model is able to achieve 3.49% lower total cost than the baseline model assuming passenger transfer time to be half of the headway.
本文研究了基于精确换乘行为模型的公交网络设计、时刻表和乘客分配的联合优化问题。将该问题表述为一个双层混合整数双线性规划,以捕捉乘客的现实路径选择行为。上层模型的目标是使公交线路建设成本、公交线路运营成本、公交站点建设成本、乘客出行时间、公交线路到站失败造成的延误、公交线路换乘失败造成的延误、公交线路满负荷运行时的溢出延误的加权和最小。下层模型的目的是尽量减少乘客的出行时间。将乘客的出行时间表示为等待上车时间、换乘时间和车内出行时间的总和。通过对公交换乘行为的精确建模,确定了公交换乘时间和换乘失败造成的延误。利用Karush-Kuhn-Tucker条件,将该双层混合整数双线性规划转化为具有平衡约束的等效混合整数双线性规划。为了在不需要大量计算机内存的情况下寻求模型的高质量解,提出了一种结合分段线性化的Benders分解算法。数值应用表明,假设乘客换乘时间为车头时距的一半,该模型的总成本比基线模型低3.49%。
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引用次数: 0
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IEEE Transactions on Intelligent Transportation Systems
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