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A Simulation-Based Heuristic to Find Approximate Equilibria with Disaggregate Demand Models 基于仿真的离散需求模型近似均衡求解方法
Pub Date : 2021-08-27 DOI: 10.1287/trsc.2021.1071
Stefano Bortolomiol, Virginie Lurkin, M. Bierlaire
Oligopolistic competition occurs in various transportation markets. In this paper, we introduce a framework to find approximate equilibrium solutions of oligopolistic markets in which demand is modeled at the disaggregate level using discrete choice models, according to random utility theory. Compared with aggregate demand models, the added value of discrete choice models is the possibility to account for more complex and precise representations of individual behaviors. Because of the form of the resulting demand functions, there is no guarantee that an equilibrium solution for the given market exists, nor is it possible to rely on derivative-based methods to find one. Therefore, we propose a model-based algorithmic approach to find approximate equilibria, which is structured as follows. A heuristic reduction of the search space is initially performed. Then, a subgame equilibrium problem is solved using a mixed integer optimization model inspired by the fixed-point iteration algorithm. The optimal solution of the subgame is compared against the best responses of all suppliers over the strategy sets of the original game. Best response strategies are added to the restricted problem until all ε-equilibrium conditions are satisfied simultaneously. Numerical experiments show that our methodology can approximate the results of an exact method that finds a pure equilibrium in the case of a multinomial logit model of demand with a single-product offer and homogeneous demand. Furthermore, it succeeds at finding approximate equilibria for two transportation case studies featuring more complex discrete choice models, heterogeneous demand, a multiproduct offer by suppliers, and price differentiation for which no analytical approach exists.
寡头垄断竞争存在于各种运输市场。在本文中,我们根据随机效用理论,引入了一个框架来寻找需求在分解水平上使用离散选择模型建模的寡头垄断市场的近似均衡解。与总需求模型相比,离散选择模型的附加价值在于有可能解释更复杂、更精确的个体行为表征。由于所产生的需求函数的形式,不能保证给定市场存在均衡解,也不可能依靠基于衍生的方法来找到一个均衡解。因此,我们提出了一种基于模型的算法方法来寻找近似均衡,其结构如下。首先对搜索空间进行启发式缩减。然后,采用基于不动点迭代算法的混合整数优化模型求解子博弈均衡问题。将子博弈的最优解与原博弈策略集上所有供应商的最佳对策进行比较。在受限问题中加入最优对策,直到同时满足所有ε-均衡条件。数值实验表明,我们的方法可以近似于一种精确方法的结果,该方法可以在具有单一产品提供和均匀需求的多项逻辑模型的情况下找到纯均衡。此外,它成功地找到了两个运输案例研究的近似均衡,这些案例研究具有更复杂的离散选择模型、异质需求、供应商提供的多产品以及不存在分析方法的价格差异。
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引用次数: 6
Approximation Method for Estimating Search Times for On-Street Parking 估计路边停车搜索时间的近似方法
Pub Date : 2021-08-27 DOI: 10.1287/trsc.2021.1067
N. Fulman, I. Benenson
We propose an approximation method for estimating the probability [Formula: see text] of searching for on-street parking longer than time [Formula: see text] from the start of a parking search near a given destination [Formula: see text] based on high-resolution maps of parking demand and supply in a city. We verify the method by comparing its outcomes to the estimates obtained with an agent-based simulation model of on-street parking search. As a practical example, we construct maps of cruising time for the Israeli city of Bat Yam and demonstrate that, despite the low overall demand-to-supply ratio of 0.65, excessive demand in the city center results in a significant share of parking searches that last longer than 5 or even 10 minutes. We discuss the application of the proposed approach for urban planning.
我们提出了一种近似方法,用于估计从给定目的地[公式:见文]附近停车搜索开始时间超过[公式:见文]的概率[公式:见文],该方法基于城市停车需求和供应的高分辨率地图。我们通过将其结果与基于智能体的路边停车搜索仿真模型的估计结果进行比较来验证该方法。作为一个实际的例子,我们构建了以色列城市巴特亚姆的巡航时间地图,并证明,尽管总体需求与供应比为0.65,但城市中心的过度需求导致大量停车搜索持续时间超过5分钟甚至10分钟。我们讨论了所提出的方法在城市规划中的应用。
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引用次数: 8
A New Algorithm for the Single Source Weber Problem with Limited Distances 有限距离单源Weber问题的新算法
Pub Date : 2021-08-27 DOI: 10.1287/trsc.2021.1083
G. Righini
The single source Weber problem with limited distances (SSWPLD) is a continuous optimization problem in location theory. The SSWPLD algorithms proposed so far are based on the enumeration of all regions of [Formula: see text] defined by a given set of n intersecting circumferences. Early algorithms require [Formula: see text] time for the enumeration, but they were recently shown to be incorrect in case of degenerate intersections, that is, when three or more circumferences pass through the same intersection point. This problem was fixed by a modified enumeration algorithm with complexity [Formula: see text], based on the construction of neighborhoods of degenerate intersection points. In this paper, it is shown that the complexity for correctly dealing with degenerate intersections can be reduced to [Formula: see text] so that existing enumeration algorithms can be fixed without increasing their [Formula: see text] time complexity, which is due to some preliminary computations unrelated to intersection degeneracy. Furthermore, a new algorithm for enumerating all regions to solve the SSWPLD is described: its worst-case time complexity is [Formula: see text]. The new algorithm also guarantees that the regions are enumerated only once.
有限距离单源韦伯问题(SSWPLD)是定位理论中的连续优化问题。目前提出的SSWPLD算法是基于[公式:见文本]的所有区域的枚举,这些区域由给定的n个相交圆周定义。早期的算法需要[公式:见文本]的枚举时间,但最近的研究表明,它们在退化相交的情况下是不正确的,即当三个或更多的圆周经过同一交点时。通过对退化交点邻域的构造,提出了一种改进的具有复杂度的枚举算法[公式:见文],解决了这一问题。本文证明了正确处理退化交点的复杂度可以简化为[公式:见文],使得现有的枚举算法在不增加其[公式:见文]时间复杂度的情况下可以固定下来,这是由于一些与交点退化无关的初步计算。此外,本文还提出了一种新的全区域枚举算法来求解SSWPLD,其最坏情况时间复杂度为[公式:见文]。新算法还保证只枚举一次区域。
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引用次数: 0
The Single-Line Design Problem for Demand-Adaptive Transit Systems: A Modeling Framework and Decomposition Approach for the Stationary-Demand Case 需求自适应交通系统的单线设计问题:静态需求情况下的建模框架和分解方法
Pub Date : 2021-08-27 DOI: 10.1287/trsc.2021.1062
F. Errico, T. Crainic, F. Malucelli, M. Nonato
When demand for transportation is low or sparse, traditional transit cannot provide efficient and good-quality service, because of its fixed structure. For this reason, mass transit is evolving toward some degree of flexibility. Although the extension of Dial-a-Ride systems to general public meets such need of adaptability, it presents several drawbacks mostly related to the their extreme flexibility. Consequently, new transportation alternatives, such as demand-adaptive systems (DASs), combining characteristics from both the traditional transit and Dial-a-Ride, have been introduced. For their twofold nature, DASs require careful planning. We focus on tactical aspects of the planning process by formalizing the single-line DAS design problem with stationary demand and proposing two alternative hierarchical decomposition approaches for its solution. The main motivation behind this work is to provide a general methodology suitable to be used as a tool to build the tactical DAS plan in real-life conditions. We provide an experimental study where the two proposed decomposition methods are compared and the general behavior of the systems is analyzed when altering some design parameters. Furthermore, we test the versatility of our methods on a variety of situation that may be encountered in real-life conditions.
在交通需求较低或较少的情况下,传统交通由于其固定的结构,无法提供高效、优质的服务。由于这个原因,公共交通正朝着某种程度的灵活性发展。“叫车”系统向大众的推广虽然满足了这种适应性的需要,但也存在一些缺点,主要与它们的极端灵活性有关。因此,新的交通替代方案,如需求适应系统(das),结合了传统交通和随叫随到的特点,已经被引入。由于das具有两面性,因此需要仔细规划。我们通过形式化具有固定需求的单线DAS设计问题,并为其解决方案提出两种可选的分层分解方法,专注于规划过程的战术方面。这项工作背后的主要动机是提供一种通用的方法,适合用作在现实条件下构建战术DAS计划的工具。我们提供了一个实验研究,比较了两种提出的分解方法,并分析了改变一些设计参数时系统的一般行为。此外,我们在现实生活中可能遇到的各种情况下测试了我们方法的多功能性。
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引用次数: 4
A Special Case of the Multiple Traveling Salesmen Problem in End-of-Aisle Picking Systems 通道末端拣选系统中多旅行推销员问题的一个特例
Pub Date : 2021-08-25 DOI: 10.1287/trsc.2021.1075
Lennart Baardman, K. J. Roodbergen, H. J. Carlo, Albert H. Schrotenboer
This study focuses on the problem of sequencing requests for an end-of-aisle automated storage and retrieval system in which each retrieved load must be returned to its earlier storage location after a worker has picked some products from the load. At the picking station, a buffer is maintained to absorb any fluctuations in speed between the worker and the storage/retrieval machine. We show that, under conditions, the problem of optimally sequencing the requests in this system with a buffer size of m loads forms a special case of the multiple traveling salesmen problem in which each salesman visits the same number of cities. Several interesting structural properties for the problem are mathematically shown. In addition, a branch-and-cut method and heuristics are proposed. Experimental results show that the proposed simulated annealing-based heuristic performs well in all circumstances and significantly outperforms benchmark heuristics. For instances with negligible picking times for the worker, we show that this heuristic provides solutions that are, on average, within 1.8% from the optimal value.
本研究的重点是通道末端自动存储和检索系统的排序请求问题,在该系统中,每个检索的负载必须在工人从负载中取出一些产品后返回到其先前的存储位置。在拾取站,保持一个缓冲器,以吸收工人和存储/检索机器之间的任何速度波动。我们证明,在一定条件下,该系统中缓存大小为m个负载的请求最优排序问题形成了每个推销员访问相同数量城市的多旅行推销员问题的特殊情况。数学上给出了这个问题的几个有趣的结构性质。此外,还提出了一种分切法和启发式算法。实验结果表明,所提出的模拟退火启发式算法在各种情况下都表现良好,显著优于基准启发式算法。对于工人采摘时间可以忽略不计的例子,我们表明这种启发式方法提供的解决方案平均在最优值的1.8%以内。
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引用次数: 13
An Analysis of the Stability of Hinterland Container Transport Cooperation 腹地集装箱运输合作的稳定性分析
Pub Date : 2021-08-25 DOI: 10.1287/trsc.2021.1050
A. Giudici, T. Lu, Clemens Thielen, R. Zuidwijk
We study cooperation among hinterland container transport operators that may share transport capacity and demand in corridors between inland and sea ports. We model this transportation problem as a minimum cost flow problem and assume that operators share the total cost based on a bargaining outcome, which has been proven equivalent to the Shapley value. To examine the stability of such cooperation, we perform a sensitivity analysis of the membership of the Shapley value (the bargaining outcome) to the core (the set of stable outcomes) by leveraging a novel concept of parametric cooperative games. We obtain closed-form solutions for identical players that explicitly characterize the impact of overcapacity on the stability of cooperation. For more general cases, we develop a computational approach based on parametric optimization techniques. The numerical results indicate that our primary analytical result, that is, that overcapacity undermines stability, is generally valid, and that overcapacitated networks may permit stable cooperation in only a limited range of settings.
我们研究了腹地集装箱运输运营商之间的合作,这些运营商可以在内陆和海港之间的走廊上共享运输能力和需求。我们将此运输问题建模为最小成本流问题,并假设运营商根据议价结果分担总成本,这已被证明相当于Shapley值。为了检验这种合作的稳定性,我们利用参数合作博弈的新概念,对Shapley值(讨价还价结果)与核心(稳定结果集)的隶属关系进行了敏感性分析。我们得到了相同参与者的封闭解,明确表征了产能过剩对合作稳定性的影响。对于更一般的情况,我们开发了一种基于参数优化技术的计算方法。数值结果表明,我们的主要分析结果,即产能过剩破坏稳定性,通常是有效的,并且产能过剩的网络可能只在有限的设置范围内允许稳定的合作。
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引用次数: 1
Operations Design of Modular Vehicles on an Oversaturated Corridor with First-in, First-out Passenger Queueing 过饱和通道中先入先出的模块化车辆运行设计
Pub Date : 2021-08-23 DOI: 10.1287/trsc.2021.1074
Xiaowei Shi, X. Li
Although urban transit systems (UTS) often have fixed vehicle capacity and relatively constant departure headways, they may need to accommodate dramatically fluctuating passenger demands over space and time, resulting in either excessive passenger waiting or vehicle capacity and energy waste. Therefore, on the one hand, optimal operations of UTS rely on accurate modeling of passenger queuing dynamics, which is particularly complex on a multistop transit corridor. On the other hand, capacities of transit vehicles can be made variable and adaptive to time-variant passenger demand so as to minimize energy waste, especially with the emergence of modular vehicle technologies. This paper investigates operations of a multistop transit corridor in which vehicles may have different capacities across dispatches. We specify skewed time coordinates to simplify the problem structure while incorporating traffic congestion. Then, we propose a mixed integer linear programming model that determines the optimal dynamic headways and vehicle capacities over the study time horizon to minimize the overall system cost for the transit corridor. In particular, the proposed model considers a realistic multistop first-in, first-out (MSFIFO) rule that gives the same boarding priority to passengers arriving at a station in the same time interval yet with different destinations. A customized dynamic programming (DP) algorithm is proposed to solve this model efficiently. To circumvent the rapid increase of the state space of a typical DP algorithm, we analyze the theoretical properties of the investigated problem and identify upper and lower bounds to a feasible solution. The bounds largely reduce the state space during the DP iterations and greatly improve the efficiency of the proposed DP algorithm. The state dimensions are also reduced with the MSFIFO rule such that all queues with different destinations at the same origin can be tracked with a single boarding position state variable at each stage. A hypothetical example and a real-world case study show that the proposed DP algorithm greatly outperforms a state-of-the-art commercial solver (Gurobi) in both solution quality and time.
虽然城市交通系统(UTS)通常具有固定的车辆容量和相对恒定的发车速度,但它们可能需要适应乘客在空间和时间上急剧波动的需求,从而导致乘客等待时间过长或车辆容量和能源浪费。因此,一方面,UTS的优化运行依赖于对乘客排队动态的准确建模,这在多站公交走廊上尤为复杂。另一方面,随着模块化车辆技术的出现,公交车辆的容量可以根据时变的乘客需求进行可变调整,从而最大限度地减少能源浪费。本文研究了一个多站点交通走廊的运行情况,其中车辆在不同的调度中可能具有不同的能力。在考虑交通拥堵的同时,我们指定了倾斜的时间坐标来简化问题结构。然后,我们提出了一个混合整数线性规划模型,该模型确定了在研究时间范围内最优的动态车头和车辆容量,以最小化公交走廊的总体系统成本。特别是,该模型考虑了一种现实的多站先进先出(MSFIFO)规则,该规则使到达同一站点的乘客在相同的时间间隔内具有相同的上车优先权,但目的地不同。针对该模型,提出了一种自定义动态规划(DP)算法。为了避免典型DP算法状态空间快速增长的问题,我们分析了所研究问题的理论性质,并确定了可行解的上界和下界。边界极大地减少了DP迭代过程中的状态空间,提高了算法的效率。状态维度也通过MSFIFO规则减少,这样在同一原点具有不同目的地的所有队列可以在每个阶段使用单个登机位置状态变量进行跟踪。一个假设的例子和一个现实世界的案例研究表明,所提出的DP算法在解决质量和时间上都大大优于最先进的商业求解器(robi)。
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引用次数: 24
An Exact Algorithm for Heterogeneous Drone-Truck Routing Problem 异构无人机-卡车路径问题的精确算法
Pub Date : 2021-08-18 DOI: 10.1287/trsc.2021.1055
Munjeong Kang, Chungmok Lee
Recently, there are attempts to utilize drones in the logistic application. We consider the case in which there are multiple drones with different characteristics, such as speed and battery capacity. The truck and drone collaborate the delivery to serve all customers, while the drones are carried by and dispatched from the truck. The multiple drones can be deployed simultaneously; however, the truck must wait until all drones return. Therefore, the goal is to minimize the total sum of truck travel and waiting times for drones to return after deliveries. We call the proposed model a heterogeneous drone-truck routing problem (HDTRP), and a mixed-integer programming formulation for the problem is presented. We develop an exact algorithm based on the logic-based Benders decomposition approach, which outperforms the state-of-the-art solvers.
近年来,有人尝试在物流应用中使用无人机。我们考虑的情况是,有多架无人机具有不同的特征,比如速度和电池容量。卡车和无人机合作交付,为所有客户提供服务,而无人机则由卡车运载和调度。多架无人机可同时部署;然而,卡车必须等到所有无人机返回。因此,目标是尽量减少卡车的总行程和无人机在交货后返回的等待时间。我们将该模型称为异构无人机-卡车路线问题(HDTRP),并给出了该问题的混合整数规划公式。我们开发了一个基于基于逻辑的Benders分解方法的精确算法,它优于最先进的求解器。
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引用次数: 19
The Heterogeneous Effects of P2P Ride-Hailing on Traffic: Evidence from Uber's Entry in California P2P网约车对交通的异质性影响:来自Uber进入加州的证据
Pub Date : 2021-08-17 DOI: 10.1287/trsc.2021.1077
Suvrat S. Dhanorkar, Gordon Burtch
Despite their promise, popularity, and rapid growth, the transit implications of ride-hailing platforms (e.g., Uber, Lyft) are not altogether clear. On the one hand, ride-hailing services can provide pooling (i.e., traffic reductions) advantages by efficiently matching customer demand (i.e., trips) with resources (i.e., cars) or by facilitating car-sharing. On the other hand, ride-hailing may also induce extra travel because of increased convenience and travel mode substitution, which may create crowding (i.e., traffic increases). We seek to reconcile these divergent perspectives here, exploring the heterogeneous determinants of ride-hailing’s effects. Taking advantage of Uber’s staggered entry into various geographic markets in California, we execute a regression-based difference-in-differences analysis to estimate the impact of ride-hailing services on traffic volumes. Using monthly micro data from more than 9,000 vehicle detector station units deployed across California, we show that Uber’s effect (either pooling or crowding) on traffic depends on various contextual factors. We find some evidence of pooling effects on weekdays; however, Uber’s entry leads to significant crowding effects on weekends. Furthermore, the crowding effect is amplified on interior roads and in areas characterized by high population density. Although ride-hailing seems to have a substitution effect on public transportation, we find ride-hailing services may have a complementary effect for carpooling users. Finally, we show that premium ride-hailing services (e.g., Uber Black) almost exclusively lead to a crowding effect. We conduct a battery of robustness tests (e.g., propensity score matching, alternative treatment approaches, placebo tests) to ensure the consistency of our findings.
尽管网约车平台(如Uber、Lyft)前景光明、受欢迎程度高、增长迅速,但它们对交通运输的影响并不完全清楚。一方面,网约车服务可以通过有效地将客户需求(即出行)与资源(即汽车)匹配,或通过促进汽车共享,提供拼车(即交通减少)的优势。另一方面,网约车也可能因为增加了便利性和出行方式的替代而导致额外的出行,这可能会造成拥挤(即交通量增加)。我们试图在这里调和这些不同的观点,探索网约车影响的异质决定因素。利用优步在加州不同地域市场的交错进入,我们执行了基于回归的差异中差异分析,以估计乘车服务对交通量的影响。利用部署在加州各地的9000多个车辆检测站的月度微观数据,我们发现优步对交通的影响(无论是拼车还是拥挤)取决于各种背景因素。我们在工作日发现了一些汇集效应的证据;然而,优步的进入在周末导致了严重的拥挤效应。此外,在内陆道路和人口密度高的地区,拥挤效应被放大。虽然网约车似乎对公共交通具有替代效应,但我们发现网约车服务对拼车用户可能具有互补效应。最后,我们表明,优质的叫车服务(例如Uber Black)几乎只会导致拥挤效应。我们进行了一系列稳健性测试(例如,倾向评分匹配,替代治疗方法,安慰剂测试),以确保我们的发现的一致性。
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引用次数: 12
Optimizing Disruption Tolerance for Rail Transit Networks Under Uncertainty 不确定条件下轨道交通网络中断容忍度优化
Pub Date : 2021-08-11 DOI: 10.1287/trsc.2021.1040
Lei Xu, T. S. Ng, A. Costa
In this paper, we develop a distributionally robust optimization model for the design of rail transit tactical planning strategies and disruption tolerance enhancement under downtime uncertainty. First, a novel performance function evaluating the rail transit disruption tolerance is proposed. Specifically, the performance function maximizes the worst-case expected downtime that can be tolerated by rail transit networks over a family of probability distributions of random disruption events given a threshold commuter outflow. This tolerance function is then applied to an optimization problem for the planning design of platform downtime protection and bus-bridging services given budget constraints. In particular, our implementation of platform downtime protection strategy relaxes standard assumptions of robust protection made in network fortification and interdiction literature. The resulting optimization problem can be regarded as a special variation of a two-stage distributionally robust optimization model. In order to achieve computational tractability, optimality conditions of the model are identified. This allows us to obtain a linear mixed-integer reformulation that can be solved efficiently by solvers like CPLEX. Finally, we show some insightful results based on the core part of Singapore Mass Rapid Transit Network.
本文建立了一种分布式鲁棒优化模型,用于在不确定停机情况下轨道交通战术规划策略的设计和中断容忍度的增强。首先,提出了一种新的评价轨道交通中断容忍度的性能函数。具体来说,在给定阈值通勤流量的随机中断事件的概率分布中,性能函数最大化轨道交通网络可以容忍的最坏情况预期停机时间。然后将该容差函数应用于给定预算约束的平台停机保护和总线桥接服务规划设计的优化问题。特别是,我们对平台停机保护策略的实施放松了网络强化和拦截文献中对强大保护的标准假设。所得到的优化问题可以看作是两阶段分布鲁棒优化模型的一个特殊变体。为了使模型具有可计算性,确定了模型的最优性条件。这使我们能够得到一个线性混合整数重公式,它可以被像CPLEX这样的求解器有效地求解。最后,我们以新加坡快速轨道交通网络的核心部分为例,展示了一些有见地的结果。
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引用次数: 2
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