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Approximate dynamic programming for pickup and delivery problem with crowd-shipping 有人群运输的取货和送货问题的近似动态程序设计
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-07-29 DOI: 10.1016/j.trb.2024.103027
Kianoush Mousavi , Merve Bodur , Mucahit Cevik , Matthew J. Roorda

We study a variant of dynamic pickup and delivery crowd-shipping operation for delivering online orders within a few hours from a brick-and-mortar store. This crowd-shipping operation is subject to a high degree of uncertainty due to the stochastic arrival of online orders and crowd-shippers that impose several challenges for efficient matching of orders to crowd-shippers. We formulate the problem as a Markov decision process and develop an Approximate Dynamic Programming (ADP) policy using value function approximation for obtaining a highly scalable and real-time matching strategy while considering temporal and spatial uncertainty in arrivals of online orders and crowd-shippers. We incorporate several algorithmic enhancements to the ADP algorithm, which significantly improve the convergence. We compare the ADP policy with an optimization-based myopic policy using various performance measures. Our numerical analysis with varying parameter settings shows that ADP policies can lead to up to 25.2% cost savings and a 9.8% increase in the number of served orders. Overall, we find that our proposed framework can guide crowd-shipping platforms for efficient real-time matching decisions and enhance the platform delivery capacity.

我们研究了一种动态取货和送货众包操作的变体,用于在几小时内从实体店交付在线订单。由于在线订单和人群配送员的随机到达,这种人群配送操作具有高度的不确定性,这给高效匹配订单和人群配送员带来了诸多挑战。我们将这一问题表述为马尔可夫决策过程,并开发了一种近似动态编程(ADP)策略,该策略采用值函数近似法,可在考虑在线订单和人群发货人到达的时间和空间不确定性的同时,获得高度可扩展的实时匹配策略。我们对 ADP 算法进行了多项算法改进,显著提高了收敛性。我们使用各种性能指标对 ADP 策略和基于优化的近视策略进行了比较。我们在不同参数设置下进行的数值分析表明,ADP 政策可节省高达 25.2% 的成本,并使服务订单数量增加 9.8%。总之,我们发现我们提出的框架可以指导众包平台做出高效的实时匹配决策,并提高平台的交付能力。
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引用次数: 0
Queue replacement principle for corridor problems with heterogeneous commuters 异质乘客走廊问题的队列替换原则
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-07-25 DOI: 10.1016/j.trb.2024.103024
Takara Sakai , Takashi Akamatsu , Koki Satsukawa

This study investigates the theoretical properties of a departure time choice problem considering commuters’ heterogeneity with respect to the value of schedule delay in corridor networks. Specifically, we develop an analytical method to solve the dynamic system optimal (DSO) and dynamic user equilibrium (DUE) problems. To derive the DSO solution, we first demonstrate the bottleneck-based decomposition property, i.e., the DSO problem can be decomposed into multiple single bottleneck problems. Subsequently, we obtain the analytical solution by applying the theory of optimal transport to each decomposed problem and derive optimal congestion prices to achieve the DSO state. To derive the DUE solution, we prove the queue replacement principle (QRP) that the time-varying optimal congestion prices are equal to the queueing delay in the DUE state at every bottleneck. This principle enables us to derive a closed-form DUE solution based on the DSO solution. Moreover, as an application of the QRP, we prove that the equilibrium solution under various policies (e.g., on-ramp metering, on-ramp pricing, and its partial implementation) can be obtained analytically. Finally, we compare these equilibria with the DSO state.

本研究探讨了出发时间选择问题的理论特性,该问题考虑到了通勤者对走廊网络中班次延误价值的异质性。具体来说,我们开发了一种分析方法来解决动态系统最优(DSO)和动态用户均衡(DUE)问题。为了得出 DSO 解决方案,我们首先证明了基于瓶颈的分解特性,即 DSO 问题可以分解为多个单瓶颈问题。随后,我们将最优运输理论应用于每个分解问题,得到解析解,并推导出最优拥塞价格,以实现 DSO 状态。为了得出 DUE 解决方案,我们证明了队列置换原理(QRP),即随时间变化的最优拥堵价格等于每个瓶颈处 DUE 状态下的队列延迟。这一原理使我们能够在 DSO 解决方案的基础上推导出闭式 DUE 解决方案。此外,作为 QRP 的一个应用,我们证明了各种政策(如匝道计量、匝道定价及其部分实施)下的均衡解都可以通过分析得到。最后,我们将这些均衡方案与 DSO 状态进行比较。
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引用次数: 0
The use of pooled RP-SP choice data to simultaneously identify alternative attributes and random coefficients on those attributes 使用集中的 RP-SP 选择数据,同时确定备选属性和这些属性的随机系数
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-07-08 DOI: 10.1016/j.trb.2024.102988
Mehek Biswas , Chandra R. Bhat , Abdul Rawoof Pinjari

Random utility maximization-based discrete choice models involve utility functions that are typically specified with explanatory variables representing alternative-specific attributes. It may be useful to specify some alternative-specific attributes as stochastic in situations when the analyst cannot accurately measure the attribute values considered by the decision maker. In addition, the parameters representing decision makers’ response to the attributes may have to be specified as stochastic to recognize response heterogeneity in the population. Ignoring either of these two sources of stochasticity can lead to biased parameter estimates and distorted willingness-to-pay estimates. Further, in some situations the analyst may not even have access to measurements of important alternative-specific attributes to include them in the utility specification. In this study, we explore the feasibility of simultaneously inferring alternative attributes and the corresponding coefficients, as well as stochasticity in both – without the help of external measurement data on alternative attributes – using mixed logit models on pooled revealed preference (RP) and stated preference (SP) choice datasets. To do so, we first theoretically examine parameter identifiability for different specifications and distributional forms of alternative attributes and their coefficients. Next, we illustrate this through simulation experiments in a travel mode choice setting and demonstrate the conditions under which pooled RP-SP data can help disentangle stochastic alternative attributes from random coefficients. In addition, an empirical application is presented in the context of commute mode choice in Bengaluru, India, to demonstrate the importance of recognizing stochasticity in mode-specific in-vehicle travel times along with the random coefficient on in-vehicle travel times.

以随机效用最大化为基础的离散选择模型涉及效用函数,而效用函数通常是用解释变量来指定的,解释变量代表了备选的特定属性。当分析人员无法准确测量决策者所考虑的属性值时,将某些特定替代属性指定为随机属性可能是有用的。此外,代表决策者对属性的反应的参数可能必须指定为随机参数,以识别人群中的反应异质性。忽略这两个随机性来源中的任何一个,都会导致参数估计偏差和支付意愿估计失真。此外,在某些情况下,分析人员甚至可能无法获得重要的替代品特定属性的测量值,从而无法将其纳入效用规范中。在本研究中,我们利用集合显现偏好(RP)和陈述偏好(SP)选择数据集上的混合 Logit 模型,探讨了在没有外部替代属性测量数据的帮助下,同时推断替代属性和相应系数以及两者随机性的可行性。为此,我们首先从理论上研究了替代属性及其系数的不同规格和分布形式下的参数可识别性。接下来,我们通过旅行模式选择环境下的模拟实验来说明这一点,并证明在哪些条件下,集合 RP-SP 数据有助于将随机替代属性与随机系数区分开来。此外,我们还介绍了在印度班加罗尔通勤模式选择背景下的实证应用,以证明认识到特定模式的车内旅行时间的随机性以及车内旅行时间的随机系数的重要性。
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引用次数: 0
Using traffic assignment models to assist Bayesian inference for origin–destination matrices 利用交通分配模型协助贝叶斯推断出发地-目的地矩阵
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-07-05 DOI: 10.1016/j.trb.2024.103019
Martin L. Hazelton, Lara Najim

Estimation of traffic volumes between each origin and destination of travel is a standard practice in transport engineering. Commonly the available data constitute traffic counts at various locations on the network, supplemented by a survey-based prior estimate of mean origin–destination traffic volumes. Statistical inference in this type of network tomography problem is known to be challenging. Moreover, the difficulties are increased in practice by the presence of a large number of nuisance parameters corresponding to route choice probabilities, for which we have no direct prior information. Working in a Bayesian framework, we determine these parameters using a stochastic user equilibrium route choice model. We develop an MCMC algorithm for model fitting. This requires repeated computation of stochastic user equilibrium flows, and so we develop a computationally cheap emulator. Our methods are tested on numerical examples based on a section of the road network in the English city of Leicester.

估算每个出发地和目的地之间的交通流量是交通工程的标准做法。通常情况下,可用数据包括网络中不同位置的交通流量统计,以及基于调查的出发地和目的地平均交通流量的先验估计。众所周知,这类网络层析问题的统计推断具有挑战性。此外,在实践中,由于存在大量与路线选择概率相对应的干扰参数,而我们又没有直接的先验信息,因此难度更大。在贝叶斯框架下,我们使用随机用户均衡路线选择模型来确定这些参数。我们开发了一种用于模型拟合的 MCMC 算法。这需要反复计算随机用户均衡流量,因此我们开发了一种计算成本低廉的模拟器。我们以英国莱斯特市的一段公路网为例,对我们的方法进行了数值测试。
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引用次数: 0
The integer programing extreme value (IPEV) model: An application for estimation of the leisure trip demand 整数编程极值(IPEV)模型:休闲旅行需求估算的应用
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-07-04 DOI: 10.1016/j.trb.2024.103018
Koichi Kuriyama , Yasushi Shoji , Takahiro Tsuge

We developed an integer programing extreme value (IPEV) model that accounts the integer property of trip data and has the same advantages as the multiple discrete–continuous extreme value choice (MDCEV) model. The proposed model is consistent with utility theory and provides a single structural framework for simultaneously modeling the choice of alternatives and quantity decisions with the constraint of the integer value of consumption. We demonstrate that the proposed model has a closed-form probability expression. Finally, we apply the proposed model to the recreation demand for national parks in Japan. The empirical results suggest that the proposed model provides a better fit for the data than the previous model and that ignoring the integer property of demand might cause an underestimation of the welfare loss.

我们建立了一个整数编程极值(IPEV)模型,该模型考虑了行程数据的整数属性,并具有与多重离散-连续极值选择(MDCEV)模型相同的优点。所提出的模型符合效用理论,并提供了一个单一的结构框架,可在消费整数值的约束下同时模拟替代品选择和数量决策。我们证明了所提出的模型具有闭式概率表达式。最后,我们将提出的模型应用于日本国家公园的娱乐需求。实证结果表明,与之前的模型相比,所提出的模型能更好地拟合数据,而且忽略需求的整数属性可能会导致低估福利损失。
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引用次数: 0
Beyond centralization: Non-cooperative perimeter control with extended mean-field reinforcement learning in urban road networks 超越集中化:城市路网中的非合作式周边控制与扩展均值场强化学习
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-07-02 DOI: 10.1016/j.trb.2024.103016
Xinghua Li , Xinyuan Zhang , Xinwu Qian , Cong Zhao , Yuntao Guo , Srinivas Peeta

Perimeter control is a traffic management approach aimed at regulating vehicular accumulation within urban regional networks by managing flows on all border-crossing roads. Methods based on the macroscopic fundamental diagram (MFD) fall short in providing specific metering for individual roads. Recent advancements in the cell transmission model (CTM) have attempted to address this limitation but are hindered by their reliance on centralized control, which requires the availability of full information and authority over traffic generation sites. Our study proposes an innovative decentralized, game-theoretical framework for perimeter control to address these practical challenges. It is structured around two key groups of agents: perimeter agents, tasked with managing border roads, and interior agents, focused on traffic within generation sites. The framework also incorporates mechanisms for interactions between these agents and the road network, aiming to optimize their individual utilities. Additionally, we have developed a multi-agent reinforcement learning (RL) algorithm, extending the mean-field theory concept, to address the complexity of simultaneous learning by multiple agents.

周边控制是一种交通管理方法,旨在通过管理所有过境道路上的车流来调节城市区域网络内的车辆积聚。基于宏观基本图(MFD)的方法无法为单条道路提供具体的计量。最近在小区传输模型(CTM)方面取得的进展试图解决这一局限性,但由于依赖于集中控制而受到阻碍,因为集中控制要求获得交通生成点的全部信息和权限。我们的研究为周界控制提出了一个创新的分散博弈理论框架,以应对这些实际挑战。该框架由两组关键代理组成:负责管理边界道路的周边代理和关注交通生成点内部交通的内部代理。该框架还包含这些代理与道路网络之间的互动机制,旨在优化它们各自的效用。此外,我们还开发了一种多代理强化学习(RL)算法,扩展了均值场理论概念,以解决多个代理同时学习的复杂性问题。
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引用次数: 0
Exploring the role of Mobility-as-a-Service in morning commuting trips 探索移动即服务在早晨通勤出行中的作用
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-06-28 DOI: 10.1016/j.trb.2024.103017
Manlian Pan , Xiaotong Sun

Promising the seamless integration of multiple transportation modes, Mobility-as-a-Service (MaaS) has gained popularity over the years, yet its effectiveness in enticing private car users and improving travel efficiency remains uncertain. This study explores the competitiveness of MaaS-enabled multi-modal travel options versus private car usage through equilibrium analysis. In addition to pricing that affects the fixed cost for travel, we examine the often overlooked inconvenience cost associated with multi-modal trips. We establish our analysis for the commuting problem of a one-origin-one-destination network, where a highway and a mass transit line connect the residential area and the central business district (CBD) area. Travelers choose their departure time and travel mode among auto, Park-and-Ride (PnR), ride-hailing and transit (RnT) to minimize their total travel cost. Inconvenience costs associated with searching for parking and waiting for ride-hailing are explicitly modeled. We analytically provide the mode share and departure time windows under all possible equilibria. Our findings reveal the complex nature of mode choice, distinctly affected by fixed and inconvenience costs, with demand playing an even more significant role. Notably, fixed costs set an entry fee to adopt different modes, and the feature of inconvenience costs affects the utilization of available transportation resources. More importantly, to benefit the overall system, we encourage maintaining a balanced mode share by implementing pricing and capacity strategies rather than aiming for a completer transition of private car users to MaaS.

移动即服务(MaaS)有望实现多种交通方式的无缝整合,多年来受到越来越多人的青睐,但其在吸引私家车用户和提高出行效率方面的效果仍不确定。本研究通过均衡分析,探讨了 MaaS 支持的多模式出行选择与私家车使用的竞争力。除了影响固定出行成本的定价外,我们还研究了经常被忽视的与多模式出行相关的不便成本。我们的分析针对的是 "一个出发地-一个目的地 "网络的通勤问题,在这个网络中,一条高速公路和一条公共交通线路将住宅区和中央商务区(CBD)连接起来。乘客在汽车、停车换乘(PnR)、打车和公交(RnT)中选择出发时间和出行方式,以最大限度地降低总出行成本。与寻找停车位和等待打车服务相关的不便成本被明确建模。我们通过分析提供了所有可能的均衡状态下的出行方式份额和出发时间窗口。我们的研究结果揭示了模式选择的复杂性,它明显受到固定成本和不便成本的影响,而需求则扮演着更为重要的角色。值得注意的是,固定成本设定了采用不同模式的入门费,而不便成本的特征则影响了可用交通资源的利用率。更重要的是,为了整个系统的利益,我们鼓励通过实施定价和容量策略来保持均衡的模式份额,而不是以私家车用户完全过渡到 MaaS 为目标。
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引用次数: 0
From silver to platinum: The impact of frequent flier tier levels on air travellers’ behaviour 从银卡到白金卡:常旅客等级对航空旅客行为的影响
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-06-27 DOI: 10.1016/j.trb.2024.102986
Christiaan Behrens , Gerben de Jong , Jos van Ommeren

We estimate the switching costs created by tier levels, one of the main components of airline frequent flier programs, by exploiting discrete tier thresholds. We first demonstrate that travellers increase their demand to reach a higher tier level just before the end of the calendar year when tier levels are determined, but do not manipulate demand in earlier months. This allows for a novel fuzzy discontinuity approach to identify causal demand effects of higher tier levels, from which we derive the airline switching costs. While the lowest level creates only negligible switching costs, the switching costs associated with the highest tier level are in the range of 30%–41% of the price of a ticket, representing an important determinant of travel behaviour in airline markets. These results especially provide evidence of the use of tier levels to induce loyalty from high-frequency travellers for whom free flight awards alone would not create substantial switching costs.

等级是航空公司常旅客计划的主要组成部分之一,我们通过利用离散的等级阈值来估算等级所带来的转换成本。我们首先证明,当等级水平确定时,旅客会在日历年结束前增加需求以达到更高的等级水平,但在更早的月份不会操纵需求。因此,我们可以采用一种新颖的模糊不连续性方法来识别较高分级的因果需求效应,并由此得出航空公司的转换成本。虽然最低等级造成的转换成本可以忽略不计,但与最高等级相关的转换成本在机票价格的 30%-41% 之间,是航空市场旅行行为的重要决定因素。这些结果尤其证明了分级可以吸引高频率旅客的忠诚度,而对于这些旅客来说,仅仅免费航班奖励并不会产生巨大的转换成本。
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引用次数: 0
A multi-stage spatial queueing model with logistic arrivals and departures consistent with the microscopic fundamental diagram and hysteresis 与微观基本图和滞后一致的逻辑到达和离开的多阶段空间排队模型
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-06-26 DOI: 10.1016/j.trb.2024.103015
Yang Gao, David Levinson

This paper introduces a spatial queueing model for a single bottleneck during morning peak hours. Utilizing the logistic function and after appropriate calibration, it articulates the arrival and departure flows in continuous, differentiable terms. By validating the model across different peak periods and locations, the demand model’s robustness is superior to other commonly used functions. This model also incorporates constant or varying capacity scenarios. It effectively captures key aspects of morning peak traffic, including the emergence of hysteresis loops in fundamental diagrams (FDs) of density and flow. The model’s multi-stage approach recognizes three distinct phases in traffic flow: freeflow, transition, and queued segments, ensuring spatial consistency in flow and density across these stages. It accounts for the growth of the queued segment and vehicle spillback under various bottleneck intensities, with the resulting FDs for speed and density also displaying hysteresis loops. The calibration of model parameters utilizes time-series data of traffic flow and density space–time maps derived from real-world data. The validation results accurately reflect real traffic scenarios, emulating the counterclockwise hysteresis loops observed in density and its heterogeneity, and provide both planar and three-dimensional FDs at different points along the traffic link, each mirroring real-life traffic patterns. Additionally, a comparison with the cell transmission model (CTM) reveals that the proposed model exhibits superior generalization and robustness.

本文介绍了早高峰时段单一瓶颈的空间排队模型。该模型利用逻辑函数并经过适当校准,以连续、可微分的方式阐明了到达和离开流量。通过在不同高峰时段和地点对模型进行验证,该需求模型的稳健性优于其他常用函数。该模型还包含恒定或变化的容量方案。它能有效捕捉早高峰交通的关键方面,包括密度和流量的基本图(FD)中出现的滞后循环。该模型的多阶段方法识别了交通流的三个不同阶段:自由流、过渡段和排队段,确保了这些阶段的流量和密度在空间上的一致性。该模型考虑了各种瓶颈强度下排队段和车辆回溢的增长,由此产生的速度和密度的 FD 也显示出滞后环。模型参数的校准利用了交通流量的时间序列数据和来自真实世界数据的密度时空图。验证结果准确地反映了真实的交通场景,模拟了在密度及其异质性中观察到的逆时针滞后环,并提供了交通链路上不同点的平面和三维 FD,每一个都反映了现实生活中的交通模式。此外,通过与小区传输模型(CTM)进行比较,发现所提出的模型具有更好的概括性和鲁棒性。
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引用次数: 0
A Branch-and-Price algorithm for the electric autonomous Dial-A-Ride Problem 电动自主拨号乘车问题的分支加价格算法
IF 5.8 1区 工程技术 Q1 ECONOMICS Pub Date : 2024-06-24 DOI: 10.1016/j.trb.2024.103011
Yue Su , Nicolas Dupin , Sophie N. Parragh , Jakob Puchinger

The Electric Autonomous Dial-A-Ride Problem (E-ADARP) consists in scheduling a fleet of electric autonomous vehicles to provide ride-sharing services for customers that specify their origins and destinations. The E-ADARP considers the following perspectives: (i) a weighted-sum objective that minimizes both total travel time and total excess user ride time; (ii) the employment of electric autonomous vehicles and a partial recharging policy. This paper presents the first labeling algorithm for a path-based formulation of the DARP/E-ADARP, where the main ingredient includes: (1) fragment-based representation of paths, (2) a novel approach that abstracts fragments to arcs while ensuring excess-user-ride-time optimality, (3) construction of a sparser new graph with the abstracted arcs, which is proven to preserve all feasible routes of the original graph, and (4) strong dominance rules and constant-time feasibility checks to compute the shortest paths efficiently. This labeling algorithm is then integrated into Branch-and-Price (B&P) algorithms to solve the E-ADARP. In the computational experiments, the B&P algorithm achieves optimality in 71 out of 84 instances. Remarkably, among these instances, 50 were solved optimally at the root node without branching. We identify 26 new best solutions, improve 30 previously reported lower bounds, and provide 17 new lower bounds for large-scale instances with up to 8 vehicles and 96 requests. In total 42 new best solutions are generated on previously solved and unsolved instances. In addition, we analyze the impact of incorporating the total excess user ride time within the objectives and allowing unlimited visits to recharging stations. The following managerial insights are provided: (1) solving a weighted-sum objective function can significantly enhance the service quality, while still maintaining operational costs at nearly optimal levels, (2) the relaxation on charging visits allows us to solve all instances feasibly and further reduces the average solution cost.

电动自动拨号乘车问题(E-ADARP)包括调度一支电动自动驾驶车队,为指定出发地和目的地的客户提供共享乘车服务。E-ADARP 考虑了以下几个方面:(i) 加权求和目标,即最小化总旅行时间和总超额用户乘车时间;(ii) 使用电动自动驾驶车辆和部分充电策略。本文首次提出了基于路径的 DARP/E-ADARP 的标注算法,主要内容包括(1) 基于片段的路径表示法;(2) 一种将片段抽象为弧的新方法,同时确保超额用户骑行时间的最优性;(3) 利用抽象弧构建更稀疏的新图,并证明该图保留了原始图的所有可行路线;(4) 利用强支配规则和恒定时间可行性检查来高效计算最短路径。然后将这种标记算法集成到分支加价算法(B&P)中,以求解 E-ADARP。在计算实验中,B&P 算法在 84 个实例中的 71 个达到最优。值得注意的是,在这些实例中,有 50 个是在根节点上以最优方式求解的,没有分支。我们确定了 26 个新的最佳解决方案,改进了 30 个以前报告过的下限,并为多达 8 辆车和 96 个请求的大规模实例提供了 17 个新的下限。在之前已解决和未解决的实例中,总共产生了 42 个新的最佳解决方案。此外,我们还分析了在目标中纳入用户总超额乘车时间以及允许无限制访问充电站的影响。我们提供了以下管理启示:(1)求解加权和目标函数可以显著提高服务质量,同时还能将运营成本维持在近乎最优的水平;(2)对充电访问的放宽允许我们可行地求解所有实例,并进一步降低平均求解成本。
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引用次数: 0
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Transportation Research Part B-Methodological
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