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Performance Evaluation of Stochastic Systems with Dedicated Delivery Bays and General On-Street Parking 具有专用配送区和一般路边停车的随机系统的性能评价
Pub Date : 2021-08-06 DOI: 10.1287/trsc.2021.1065
Abhishek, B. Legros, J. Fransoo
As freight deliveries in cities increase due to retail fragmentation and e-commerce, parking is becoming a more and more relevant part of transportation. In fact, many freight vehicles in cities spend more time parked than they are moving. Moreover, part of the public parking space is shared with passenger vehicles, especially cars. Both arrival processes and parking and delivery processes are stochastic in nature. In order to develop a framework for analysis, we propose a queueing model for an urban parking system consisting of delivery bays and general on-street parking spaces. Freight vehicles may park both in the dedicated bays and in general on-street parking, whereas passenger vehicles only make use of general on-street parking. Our model allows us to create parsimonious insights into the behavior of a delivery bay parking stretch as part of a limited length of curbside. We are able to find explicit expressions for the relevant performance measures, and formally prove a number of monotonicity results. We further conduct a series of numerical experiments to show more intricate properties that cannot be shown analytically. The model helps us shed light onto the effects of allocating scarce urban curb space to dedicated unloading bays at the expense of general on-street parking. In particular, we show that allocating more space to dedicated delivery bays can also make passenger cars better off.
随着零售分散化和电子商务的发展,城市的货运量不断增加,停车正成为交通运输中越来越重要的一部分。事实上,城市中许多货运车辆停放的时间比行驶的时间要长。此外,部分公共停车位与乘用车,特别是汽车共享。到达过程、停车和交付过程在本质上都是随机的。为了建立一个分析框架,我们提出了一个城市停车系统的排队模型,该系统由送货舱和一般的路边停车位组成。货运车辆既可以停在专用泊位上,也可以停在一般的路边泊位上,而客运车辆只能使用一般的路边泊位。我们的模型使我们能够对作为有限长度的路边的一部分的送货区停车延伸的行为产生简洁的见解。我们能够找到相关性能度量的显式表达式,并正式证明了一些单调性结果。我们进一步进行了一系列的数值实验,以显示更复杂的性质,不能显示解析。该模型帮助我们了解了将稀缺的城市路边空间分配给专用的卸货区,而牺牲了一般的路边停车位的影响。特别是,我们表明,分配更多的空间,以专门的交货仓也可以使乘用车更好。
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引用次数: 6
A New Formulation for the Dial-a-Ride Problem 拨乘问题的一个新公式
Pub Date : 2021-08-05 DOI: 10.1287/trsc.2021.1044
Yannik Rist, M. Forbes
This paper proposes a new mixed integer programming formulation and branch and cut (BC) algorithm to solve the dial-a-ride problem (DARP). The DARP is a route-planning problem where several vehicles must serve a set of customers, each of which has a pickup and delivery location, and includes time window and ride time constraints. We develop “restricted fragments,” which are select segments of routes that can represent any DARP route. We show how to enumerate these restricted fragments and prove results on domination between them. The formulation we propose is solved with a BC algorithm, which includes new valid inequalities specific to our restricted fragment formulation. The algorithm is benchmarked on existing and new instances, solving nine existing instances to optimality for the first time. In comparison with current state-of-the-art methods, run times are reduced between one and two orders of magnitude on large instances.
本文提出了一种新的混合整数规划公式和分支切断算法来解决拨乘问题。DARP是一个路线规划问题,其中几辆车必须为一组客户服务,每辆车都有一个取货和送货地点,并包括时间窗口和行驶时间限制。我们开发了“受限片段”,这是可以代表任何DARP路由的选择路由段。我们展示了如何列举这些受限制的片段,并证明了它们之间支配的结果。我们提出的公式用BC算法求解,该算法包含了针对我们的受限片段公式的新的有效不等式。该算法对现有实例和新实例进行了基准测试,首次求解了9个现有实例的最优性。与当前最先进的方法相比,在大型实例上运行时间减少了一到两个数量级。
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引用次数: 10
On-Demand Public Transit: A Markovian Continuous Approximation Model 按需公共交通:一个马尔可夫连续逼近模型
Pub Date : 2021-07-30 DOI: 10.1287/trsc.2021.1063
Daniel F. Silva, A. Vinel, Bekircan Kirkici
With recent advances in mobile technology, public transit agencies around the world have started actively experimenting with new transportation modes, many of which can be characterized as on-demand public transit. Design and efficient operation of such systems can be particularly challenging, because they often need to carefully balance demand volume with resource availability. We propose a family of models for on-demand public transit that combine a continuous approximation methodology with a Markov process. Our goal is to develop a tractable method to evaluate and predict system performance, specifically focusing on obtaining the probability distribution of performance metrics. This information can then be used in capital planning, such as fleet sizing, contracting, and driver scheduling, among other things. We present the analytical solution for a stylized single-vehicle model of first-mile operation. Then, we describe several extensions to the base model, including two approaches for the multivehicle case. We use computational experiments to illustrate the effects of the inputs on the performance metrics and to compare different modes of transit. Finally, we include a case study, using data collected from a real-world pilot on-demand public transit project in a major U.S. metropolitan area, to showcase how the proposed model can be used to predict system performance and support decision making.
随着移动技术的进步,世界各地的公共交通机构已经开始积极尝试新的交通方式,其中许多可以被描述为按需公共交通。此类系统的设计和有效操作尤其具有挑战性,因为它们通常需要仔细平衡需求量和资源可用性。我们提出了一组按需公共交通的模型,这些模型结合了连续逼近方法和马尔可夫过程。我们的目标是开发一种易于处理的方法来评估和预测系统性能,特别关注于获得性能度量的概率分布。然后,这些信息可以用于资本规划,例如车队规模、合同和驾驶员调度等。本文给出了一种程式化的单车辆第一英里运行模型的解析解。然后,我们描述了对基本模型的几种扩展,包括针对多车辆情况的两种方法。我们使用计算实验来说明输入对性能指标的影响,并比较不同的运输方式。最后,我们包含了一个案例研究,使用从美国主要大都市地区的实际按需公共交通项目中收集的数据,以展示所提出的模型如何用于预测系统性能和支持决策。
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引用次数: 1
Efficient Simulation-Based Toll Optimization for Large-Scale Networks 基于仿真的大规模网络收费优化
Pub Date : 2021-07-30 DOI: 10.1287/trsc.2021.1043
C. Osorio, B. Atasoy
This paper proposes a simulation-based optimization technique for high-dimensional toll optimization problems of large-scale road networks. We formulate a novel analytical network model. The latter is embedded within a metamodel simulation-based optimization (SO) algorithm. It provides analytical and differentiable structural information of the underlying problem to the SO algorithm. Hence, the algorithm no longer treats the simulator as a black box. The analytical model is formulated as a system of nonlinear equations that can be efficiently evaluated with standard solvers. The dimension of the system of equations scales linearly with network size. It scales independently of the dimension of the route choice set and of link attributes such as link length. Hence, it is a scalable formulation suitable for the optimization of large-scale networks. For instance, the model is used in the case study of the paper for toll optimization of a Singapore network with more than 4,050 OD (origin-destination) pairs and 18,200 feasible routes. The corresponding analytical model is implemented as a system of 860 nonlinear equations. The analytical network model is validated based on one-dimensional toy network problems. It captures the main trends of the simulation-based objective function and, more importantly, accurately locates the global optimum for all experiments. The proposed SO approach is then used to optimize a set of 16 tolls for the network of expressways and major arterials of Singapore. The proposed method is compared with a general-purpose algorithm. The proposed method identifies good quality solutions at the very first iteration. The benchmark method identifies solutions with similar performance after 2 days of computation or similarly after more than 30 points have been simulated. The case study indicates that the analytical structural information provided to the algorithm by the analytical network model enables it to (i) identify good quality solutions fast and (ii) become robust to both the quality of the initial points and to the stochasticity of the simulator. The final solutions identified by the proposed algorithm outperform those of the benchmark method by an average of 18%.
针对大规模路网的高维收费优化问题,提出了一种基于仿真的优化技术。我们提出了一个新的分析网络模型。后者嵌入在基于元模型仿真的优化(SO)算法中。它为SO算法提供了底层问题的解析性和可微性结构信息。因此,该算法不再将模拟器视为黑盒。解析模型被表述为一个非线性方程组,可以用标准求解器有效地求解。方程组的维数与网络的大小成线性关系。它的扩展独立于路由选择集的维度和链路属性(如链路长度)。因此,它是一种适用于大规模网络优化的可扩展公式。例如,该模型在本文的案例研究中用于新加坡网络的收费优化,该网络有超过4,050对OD(始发目的地)和18,200条可行路线。相应的解析模型由860个非线性方程组成。基于一维玩具网络问题对分析网络模型进行了验证。它捕捉了基于仿真的目标函数的主要趋势,更重要的是,它准确地定位了所有实验的全局最优。然后,将提出的SO方法用于优化新加坡高速公路和主要干线网络的一组16个收费。并将该方法与通用算法进行了比较。提出的方法在第一次迭代中识别出高质量的解决方案。基准方法在计算2天后识别性能相似的解决方案,或者在模拟超过30个点后识别相似的解决方案。实例研究表明,解析网络模型提供给算法的解析结构信息使其能够(i)快速识别出高质量的解,(ii)对初始点的质量和模拟器的随机性都具有鲁棒性。该算法识别的最终解比基准方法平均高出18%。
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引用次数: 10
Dynamic Ride-Hailing with Electric Vehicles 电动汽车的动态叫车服务
Pub Date : 2021-07-29 DOI: 10.1287/trsc.2021.1042
Nicholas D. Kullman, Martin Cousineau, J. Goodson, J. Mendoza
We consider the problem of an operator controlling a fleet of electric vehicles for use in a ride-hailing service. The operator, seeking to maximize profit, must assign vehicles to requests as they arise as well as recharge and reposition vehicles in anticipation of future requests. To solve this problem, we employ deep reinforcement learning, developing policies whose decision making uses [Formula: see text]-value approximations learned by deep neural networks. We compare these policies against a reoptimization-based policy and against dual bounds on the value of an optimal policy, including the value of an optimal policy with perfect information, which we establish using a Benders-based decomposition. We assess performance on instances derived from real data for the island of Manhattan in New York City. We find that, across instances of varying size, our best policy trained with deep reinforcement learning outperforms the reoptimization approach. We also provide evidence that this policy may be effectively scaled and deployed on larger instances without retraining.
我们考虑一个运营商的问题,控制一个车队的电动车辆用于乘车服务。为了实现利润最大化,运营商必须根据需求分配车辆,并根据未来的需求对车辆进行充电和重新定位。为了解决这个问题,我们采用深度强化学习,开发决策使用深度神经网络学习的[公式:见文本]值近似的策略。我们将这些策略与基于再优化的策略和最优策略值的对偶界进行比较,包括我们使用基于benders的分解建立的具有完美信息的最优策略的值。我们对来自纽约市曼哈顿岛真实数据的实例进行性能评估。我们发现,在不同大小的实例中,我们用深度强化学习训练的最佳策略优于再优化方法。我们还提供了证据,证明该策略可以有效地扩展和部署在更大的实例上,而无需重新培训。
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引用次数: 40
Transit Planning Optimization Under Ride-Hailing Competition and Traffic Congestion 网约车竞争与交通拥堵下的交通规划优化
Pub Date : 2021-07-16 DOI: 10.1287/TRSC.2021.1068
Keji Wei, Vikrant Vaze, A. Jacquillat
With the soaring popularity of ride-hailing, the interdependence between transit ridership, ride-hailing ridership, and urban congestion motivates the following question: can public transit and ride-hailing coexist and thrive in a way that enhances the urban transportation ecosystem as a whole? To answer this question, we develop a mathematical and computational framework that optimizes transit schedules while explicitly accounting for their impacts on road congestion and passengers’ mode choice between transit and ride-hailing. The problem is formulated as a mixed integer nonlinear program and solved using a bilevel decomposition algorithm. Based on computational case study experiments in New York City, our optimized transit schedules consistently lead to 0.4%–3% system-wide cost reduction. This amounts to rush-hour savings of millions of dollars per day while simultaneously reducing the costs to passengers and transportation service providers. These benefits are driven by a better alignment of available transportation options with passengers’ preferences—by redistributing public transit resources to where they provide the strongest societal benefits. These results are robust to underlying assumptions about passenger demand, transit level of service, the dynamics of ride-hailing operations, and transit fare structures. Ultimately, by explicitly accounting for ride-hailing competition, passenger preferences, and traffic congestion, transit agencies can develop schedules that lower costs for passengers, operators, and the system as a whole: a rare win–win–win outcome.
随着网约车的迅速普及,公共交通乘客、网约车乘客和城市拥堵之间的相互依存关系引发了以下问题:公共交通和网约车能否以一种增强整个城市交通生态系统的方式共存并蓬勃发展?为了回答这个问题,我们开发了一个数学和计算框架,优化交通时间表,同时明确考虑它们对道路拥堵的影响,以及乘客在交通和叫车之间的模式选择。该问题被表述为一个混合整数非线性规划,并采用双层分解算法求解。基于纽约市的计算案例研究实验,我们优化的交通调度始终可以使整个系统的成本降低0.4%-3%。这相当于每天在高峰时段节省数百万美元,同时降低乘客和运输服务提供商的成本。这些好处是通过将现有的交通选择与乘客的偏好更好地结合起来,通过将公共交通资源重新分配到能够提供最大社会效益的地方来实现的。这些结果对于乘客需求、公交服务水平、网约车运营动态和公交票价结构的基本假设是强有力的。最终,通过明确考虑网约车竞争、乘客偏好和交通拥堵,公交机构可以制定时刻表,降低乘客、运营商和整个系统的成本:这是一种罕见的三赢结果。
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引用次数: 10
Managing Driving Modes in Automated Driving Systems 自动驾驶系统中的驾驶模式管理
Pub Date : 2021-07-01 DOI: 10.1287/trsc.2021.1110
D. Insua, William N. Caballero, Roi Naveiro
Current technology is unable to produce massively deployable, fully automated vehicles that do not require human intervention. Given that such limitations are projected to persist for decades, scenarios requiring a driver to assume control of a semiautomated vehicle, and vice versa, will remain a feature of modern roadways for the foreseeable future. Herein, we adopt a comprehensive perspective of this problem by simultaneously considering operational design domain supervision, driver and environment monitoring, trajectory planning, and driver-intervention performance assessment. More specifically, we develop a modeling framework for each of the aforementioned functions by leveraging decision analysis and Bayesian forecasting. Utilizing this framework, a suite of algorithms is subsequently proposed for driving-mode management and early warning emission, according to a management by exception principle. The efficacy of the developed methods is illustrated and examined via a simulated case study.
目前的技术还无法生产出无需人工干预、可大规模部署的全自动车辆。考虑到这些限制预计将持续数十年,在可预见的未来,需要驾驶员控制半自动车辆的情况将仍然是现代道路的一个特征。在此,我们采用综合视角,同时考虑操作设计领域监督、驾驶员和环境监测、轨迹规划和驾驶员干预绩效评估。更具体地说,我们通过利用决策分析和贝叶斯预测为上述每个功能开发建模框架。利用该框架,根据异常管理原则,提出了一套驱动模式管理和预警排放的算法。通过一个模拟的案例研究说明并检验了所开发方法的有效性。
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引用次数: 5
Walk the Line: Optimizing the Layout Design of Moving Walkways 走直线:优化移动人行道的布局设计
Pub Date : 2021-07-01 DOI: 10.1287/trsc.2021.1051
N. Boysen, D. Briskorn, Stefan Schwerdfeger
A moving walkway (also denoted as moving sidewalk, travelator, autowalk, pedestrian conveyor, or skywalk) is a slow moving conveyor that transports standing or walking people horizontally over a short to medium distance. Constantly moving walkways have a long-lasting tradition especially inside large buildings, such as airport terminals and railway stations. Novel technological developments allow to accelerate walkways in their middle sections up to 12 km/h, while still providing a safe and much slower entrance and exit. Furthermore, first applications of moving walkways as environmentally friendly and space-efficient alternatives for urban public transport exist. In this context, our paper aims to support the layout design of moving walkways with optimization. Given a straight corridor (e.g., an airport terminal) and the passenger flows within the corridor (e.g., among gates), we aim to optimally place bidirectional walkway segments. We show that the resulting optimization problem is efficiently solvable by dynamic programming even if multiple relevant extensions, such as multiple objectives, budget constraints, and minimum safety distances, among subsequent segments are relevant. We apply our algorithm to explore the impact of constantly moving and accelerating walkways on total travel times and benchmark solutions without walkway support in a real-world case study. Our results reveal that wrongly placed walkways may considerably slow down passenger transport, but a very simple design rule leads to near-optimal results.
移动人行道(也称为移动人行道、自动人行道、自动人行道、行人传送带或空中人行道)是一种缓慢移动的传送带,可以在短至中等距离上水平输送站立或行走的人。不断移动的人行道有着悠久的传统,特别是在大型建筑物内,如机场航站楼和火车站。新技术的发展使中间部分的人行道加速到12公里/小时,同时仍然提供安全且速度慢得多的出入口。此外,作为环保和节省空间的城市公共交通替代方案,移动人行道的首次应用已经存在。在此背景下,本文旨在为自动人行道的布局设计提供优化支持。给定一条笔直的走廊(例如,机场航站楼)和走廊内的客流(例如,在登机口之间),我们的目标是最佳地放置双向走道段。结果表明,即使后续路段之间存在多个相关扩展(如多目标、预算约束和最小安全距离),也可以通过动态规划有效地求解优化问题。我们应用我们的算法来探索不断移动和加速的人行道对总旅行时间的影响,并在一个现实世界的案例研究中,在没有人行道支持的情况下给出基准解决方案。我们的研究结果表明,错误放置的人行道可能会大大降低乘客的运输速度,但一个非常简单的设计规则会导致接近最佳的结果。
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引用次数: 1
Layout Design of Parking Lots with Mathematical Programming 停车场平面布置的数学规划设计
Pub Date : 2021-06-04 DOI: 10.1287/TRSC.2021.1049
Konrad Stephan, Felix Weidinger, N. Boysen
There is a vivid debate in cities all over the world on how to distribute the restricted space in urban areas among stakeholders. Urban design movements such as new pedestrianism or Copenhagenization advocate that too much space is attributed to cars. In this context, our research investigates the optimization of parking lots with the help of mathematical programming. For the given ground plot of a parking lot, we maximize the number of parking spaces each reachable via a driving lane, so that the urban space attributed to the parking of cars is efficiently used. Based on a grid of squares in which we rasterize the ground plot, this paper presents mixed-integer programs based on three different resolutions for orthogonal parking. Our computational study explores the tradeoff between the additional parking spaces promised by a higher resolution and the increased computational effort because of the larger solution space (and vice versa). We compare our optimization approaches with a sample of 177 real-world parking lots and show that optimization can be a serviceable car park design tool with the help of a case study.
世界各地的城市都在热烈讨论如何在利益相关者之间分配城市有限的空间。新步行主义(new pedestrian)或哥本哈根化(copenhaization)等城市设计运动主张,汽车占用了太多的空间。在此背景下,我们的研究利用数学规划来研究停车场的优化问题。对于给定的停车场地块,我们最大限度地使每个车位都能通过车道到达,从而使城市的停车空间得到有效利用。本文以栅格化地面为基础,提出了基于三种不同分辨率的正交停车混合整数方案。我们的计算研究探讨了更高分辨率所承诺的额外停车位和由于更大的解决方案空间而增加的计算工作量之间的权衡(反之亦然)。我们将我们的优化方法与177个现实世界停车场的样本进行比较,并通过案例研究表明优化可以成为一个有用的停车场设计工具。
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引用次数: 5
System Dynamics in the Predictive Analytics of Container Freight Rates 集装箱运价预测分析中的系统动力学
Pub Date : 2021-05-28 DOI: 10.1287/TRSC.2021.1046
J. Jeon, O. Duru, Z. H. Munim, Naima Saeed
This study proposes a two-tier cross-validation and backtesting procedure, including expanding and rolling-window test metrics in predictive analytics of container freight rates by utilizing the system dynamics approach. The study utilized system dynamics to represent the nonlinear complex structure of container freight rates for predictive analytics and performed univariate and multivariate time-series analysis as benchmarks of the conventional approach. In particular, the China containerized freight index (CCFI) has been investigated through various parametric methodologies (both conventional time-series and system dynamics approaches). This study follows a strict validation process consisting of expanding window and rolling-window test procedures for the out-of-sample forecasting accuracy of the proposed systemic model and benchmark models to ensure fair validation. In addition to the predictive features, major governing dynamics are presented in the analysis which may initiate further theoretical discussions on the economics and structure of the container shipping markets. Empirical results indicate that postsample accuracy can be affected by the sample size (training data size) in a given set of methodologies. Considering the economic challenges in the container shipping industry, the proposed methodology may help users to improve their cash-flow visibility and reduce the adverse effects of volatility in container shipping rates.
本研究提出了一个双层交叉验证和回溯测试程序,包括利用系统动力学方法在集装箱运价预测分析中的扩展和滚动窗口测试指标。该研究利用系统动力学来表示集装箱运价的非线性复杂结构进行预测分析,并进行单变量和多变量时间序列分析作为传统方法的基准。特别是,中国集装箱运价指数(CCFI)已经通过各种参数方法(传统的时间序列和系统动力学方法)进行了调查。本研究遵循严格的验证过程,包括扩展窗口和滚动窗口测试程序,以确保所提出的系统模型和基准模型的样本外预测准确性,以确保公平验证。除了预测特征外,分析中还提出了主要的控制动态,这可能会引发关于集装箱航运市场经济学和结构的进一步理论讨论。实证结果表明,在给定的一组方法中,样本大小(训练数据大小)会影响样本后精度。考虑到集装箱航运业的经济挑战,建议的方法可能有助于用户提高其现金流可见性,并减少集装箱运价波动的不利影响。
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引用次数: 7
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