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A game-theoretic approach for reliability evaluation of public transportation transfers with stochastic features 具有随机特征的公交换乘可靠性评价的博弈论方法
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100090
Giorgio Gnecco , Yuval Hadas , Marcello Sanguineti

A game-theoretic approach based on the framework of transferable-utility cooperative games is developed to assess the reliability of transfer nodes in public transportation networks in the case of stochastic transfer times. A cooperative game is defined, whose model takes into account the public transportation system, the travel times, the transfers and the associated stochastic transfer times, and the users’ demand. The transfer stops are modeled as the players of such a game, and the Shapley value – a solution concept in cooperative game theory – is used to identify their centrality and relative importance. Theoretical properties of the model are analyzed. A two-level Monte Carlo approximation of the vector of Shapley values associated with the nodes is introduced, which is efficient and able to take into account the stochastic features of the transportation network. The performance of the algorithm is investigated, together with that of its distributed computing variation. The usefulness of the proposed approach for planners and policy makers is shown with a simple example and on a case study from the public transportation network of Auckland, New Zealand.

提出了一种基于可转移效用合作博弈框架的博弈论方法,用于评估随机换乘时间下公共交通网络换乘节点的可靠性。定义了一个考虑公共交通系统、出行时间、换乘次数及相关随机换乘次数、用户需求等因素的合作博弈模型。将迁移站点建模为这种博弈中的参与者,并使用Shapley值(合作博弈理论中的一个解概念)来确定它们的中心性和相对重要性。分析了该模型的理论特性。引入了与节点相关的Shapley值向量的两级蒙特卡罗近似,该近似既有效又能考虑到交通网络的随机特性。研究了该算法的性能及其分布式计算变化。通过一个简单的例子和新西兰奥克兰公共交通网络的案例研究,可以说明所建议的方法对规划者和决策者的有用性。
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引用次数: 1
Introduction to the special issue on Advances in Facility Location and Logistics 介绍“设施选址及物流的进展”特刊
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100093
Isabel Correia, Teresa Melo, Olivier Péton
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引用次数: 0
Integrated optimization of sequential processes: General analysis and application to public transport 序贯流程的集成优化:公共交通的一般分析与应用
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100073
Philine Schiewe , Anita Schöbel

Planning in public transportation is traditionally done in a sequential process: After the network design process, the lines and their frequencies are planned. When these are fixed, a timetable is determined and based on the timetable, the vehicle and crew schedules are optimized. After each step, passenger routes are adapted to model the behavior of the passengers as realistically as possible. It has been mentioned in many publications that such a sequential process is sub-optimal, and integrated approaches, mainly heuristics, are under consideration. Sequential planning is not only common in public transportation planning but also in many other applied problems, among others in supply chain management, or in organizing hospitals efficiently.

The contribution of this paper hence is two-fold: on the one hand, we develop an integrated integer programming formulation for the three planning stages line planning, (periodic) timetabling, and vehicle scheduling which also includes the integrated optimization of the passenger routes. This gives us an exact formulation rewriting the sequential approach as an integrated problem. We discuss properties of the integrated formulation and apply it experimentally to data sets from the LinTim library. On small examples, we get an exact optimal objective function value for the integrated formulation which can be compared with the outcome of the sequential process.

On the other hand, we propose a mathematical formulation for general sequential processes which can be used to build integrated formulations. For comparing sequential processes with their integrated counterparts we analyze the price of sequentiality, i.e., the ratio between the solution obtained by the sequential process and an integrated solution. We also experiment with different possibilities for partial integration of a subset of the sequential problems and again illustrate our results using the case of public transportation. The obtained results may be useful for other sequential processes.

公共交通的规划传统上是一个连续的过程:在网络设计过程之后,规划线路及其频率。当这些固定后,就会确定时间表,并根据时间表优化车辆和人员的时间表。在每一步之后,乘客路线都被调整以尽可能真实地模拟乘客的行为。在许多出版物中提到,这种顺序过程是次优的,并且正在考虑主要是启发式的综合方法。顺序规划不仅在公共交通规划中很常见,而且在许多其他应用问题中也很常见,其中包括供应链管理或有效组织医院。因此,本文的贡献有两方面:一方面,我们开发了线路规划、(周期)调度和车辆调度三个规划阶段的集成整数规划公式,其中还包括乘客路线的集成优化。这给了我们一个精确的公式,将顺序方法改写为一个积分问题。我们讨论了积分公式的性质,并将其实验应用于LinTim库中的数据集。在小的例子中,我们得到了一个精确的最优目标函数值,可以与顺序过程的结果进行比较。另一方面,我们提出了一般顺序过程的数学公式,可用于构建集成公式。为了比较顺序过程与积分过程,我们分析了顺序的代价,即顺序过程得到的解与积分解之间的比值。我们还对序列问题子集的部分积分进行了不同可能性的实验,并再次以公共交通为例说明了我们的结果。所得结果可用于其他顺序过程。
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引用次数: 6
Formulating multi-class user equilibrium using mixed-integer linear programming 用混合整数线性规划表达多类用户均衡
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100097
Xiao Lin , Ludovic Leclercq , Lóránt Tavasszy , Hans van Lint

We introduce an approach to formulate and solve the multi-class user equilibrium traffic assignment as a mixed-integer linear programming (MILP) problem. Compared to simulation approaches, the analytical MILP formulation makes the solution of network assignment problems more tractable. When applied in a multi-class context, it obviates the need to assume a symmetrical influence between classes and thereby allows richer traffic behavior to be taken into account. Also, it integrates naturally in optimization problems such as maintenance planning and traffic management. We develop the model and apply it for the Sioux Falls network, showing that it outperforms the traditional Beckmann-based and MSA approaches in smaller-scale problems. Further research opportunities lie in developing extensions of MILP-based assignment, with different variants of user equilibrium or dynamic assignment, and in improving the model and solution algorithms to allow large-scale application.

提出了一种用混合整数线性规划(MILP)问题来表述和求解多类用户均衡流量分配的方法。与仿真方法相比,解析式MILP公式使网络分配问题的求解更易于处理。当应用于多类上下文中时,它不需要假设类之间的对称影响,从而允许考虑更丰富的流量行为。此外,它自然地集成在优化问题,如维修计划和交通管理。我们开发了该模型并将其应用于苏福尔斯网络,表明它在较小规模问题上优于传统的基于beckmann和MSA的方法。进一步的研究机会在于开发基于milp的分配的扩展,使用不同的用户均衡或动态分配变体,并改进模型和求解算法以允许大规模应用。
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引用次数: 0
A topological approach for identifying pricing controller locations to ensure controllability of transportation networks 一种确定定价控制器位置以确保运输网络可控性的拓扑方法
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100078
Xavier Mazur , Marco Rinaldi , Richard D. Connors , Francesco Viti

To use efficiently the infrastructure of transportation networks, control strategies have been developed with the aim to reduce negative externalities, such as congestion and pollutant emissions. Previous works demonstrated that the maximum performance achievable by traffic control policies depends on the number and location of controllers employed, which implies the need to determine a set of controllers capable of fully controlling the underlying transportation network. Various approaches have been explored in the literature to locate controllers on networks, however a gap remains in terms of scalability as the methods proposed often exhibit heavy computational complexity. In this paper we aim to propose an approach capable of locating pricing controllers on transportation networks that is scalable, such that it can be applied on large instances, such as city-sized or regional networks. For this purpose, we propose a topology-based approach, adapted from the sensor location problem, as both problems share similar characteristics. We validate our proposed approach by analyzing the performance of controller sets produced on a wide range of artificially generated network ensembles. The analysis we provide reveals that the method proposed, while being easily applicable on large instances, is capable to locate an efficient controller set, and to redirect flows on the network so as to reduce the total time spent by road users.

为了有效地利用交通网络的基础设施,已经制定了控制策略,目的是减少负外部性,如拥堵和污染物排放。先前的研究表明,交通控制策略所能达到的最大性能取决于所使用的控制器的数量和位置,这意味着需要确定一组能够完全控制底层交通网络的控制器。文献中已经探索了各种方法来定位网络上的控制器,但是在可扩展性方面仍然存在差距,因为所提出的方法通常表现出沉重的计算复杂性。在本文中,我们的目标是提出一种能够在可扩展的交通网络上定位定价控制器的方法,这样它就可以应用于大型实例,如城市规模或区域网络。为此,我们提出了一种基于拓扑的方法,该方法改编自传感器定位问题,因为这两个问题具有相似的特征。我们通过分析在广泛的人工生成的网络集成上产生的控制器集的性能来验证我们提出的方法。我们提供的分析表明,所提出的方法虽然易于适用于大型实例,但能够定位有效的控制器集,并重新定向网络上的流量,从而减少道路使用者花费的总时间。
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引用次数: 0
A branch-and-price algorithm for a team orienteering problem with fixed-wing drones 固定翼无人机团队定向问题的分支价格算法
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2021.100070
Kaarthik Sundar , Sujeevraja Sanjeevi, Christopher Montez

This paper formulates a team orienteering problem with multiple fixed-wing drones and develops a branch-and-price algorithm to solve the problem to optimality. Fixed-wing drones, unlike rotary drones, have kinematic constraints associated with them, thereby preventing them to make on-the-spot turns and restricting them to a minimum turn radius. This paper presents the implications of these constraints on the drone routing problem formulation and proposes a systematic technique to address them in the context of the team orienteering problem. Furthermore, a novel branch-and-price algorithm with branching techniques specific to the constraints imposed due to fixed-wing drones are proposed. Extensive computational experiments on benchmark instances corroborating the effectiveness of the algorithms are also presented.

本文提出了一个多架固定翼无人机的团队定向问题,并提出了一种分支定价算法来求解该问题的最优性。固定翼无人机与旋转式无人机不同,有运动学约束,因此无法进行现场转弯,并将其限制在最小转弯半径内。本文提出了这些约束对无人机路线问题的影响,并提出了一种系统的技术来解决团队定向问题中的这些约束。在此基础上,提出了一种针对固定翼无人机约束的分支定价算法。在基准实例上进行了大量的计算实验,验证了算法的有效性。
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引用次数: 6
Ring hierarchical hub network design problem: Exact and heuristic solution methods 环形分层枢纽网络设计问题:精确和启发式解决方法
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100096
Alireza Eydi , Amir Khaleghi , Khaled Barzegar

In this paper, we study the hierarchical hub network design problem with a ring-star-star structure. In this problem, the hubs are located in two layers. In the first layer, central hubs (main hubs) are located in a ring structure, and in the second layer, secondary hubs are located. Each secondary hub is allocated to a central hub. Other demand points can also be allocated to each of these hubs (central hubs or secondary hubs). The objective is to minimize transportation costs on the network. This problem applies to communication networks when establishing direct links between demand nodes is not cost-effective, and there are two levels of service for customers. Also, the ring structure is used to reduce costs associated with full communication between central hubs. We present a mixed-integer programming model for the problem and report the results of the problem solving for a numerical example on the CAB dataset. Also, we present three solution methods for the problem. First, by exploiting the decomposable structure of the proposed model, we introduce an accelerated Benders decomposition algorithm. Then, we present a hybrid genetic algorithm that uses the Dijkstra algorithm to evaluate solutions. Next, we present a hybrid variable neighborhood search algorithm that uses the Dijkstra algorithm to calculate the cost of each solution. Also, a relax-and-fix algorithm is proposed to find near-optimal feasible solutions for the problem. Computational results are presented on the USA423 dataset. The results show that the proposed relax-and-fix algorithm can solve instances with up to 100 nodes. Also, the proposed hybrid algorithms can solve instances with up to 423 nodes. The performance of the proposed hybrid variable neighborhood search is better than the proposed hybrid genetic algorithm in solving large-sized instances.

本文研究了具有环状星形结构的分层枢纽网络设计问题。在这个问题中,集线器位于两层。在第一层,中心集线器(主集线器)位于环形结构中,在第二层,次要集线器位于。每个辅助集线器分配给一个中心集线器。其他需求点也可以分配给这些集线器(中心集线器或辅助集线器)。目标是使网络上的运输成本最小化。这个问题适用于在需求节点之间建立直接链接的成本效益不高,并且为客户提供两级服务的通信网络。此外,环形结构用于降低与中心集线器之间的完全通信相关的成本。我们提出了该问题的混合整数规划模型,并报告了在CAB数据集上的一个数值示例的问题求解结果。并提出了三种解决方法。首先,利用该模型的可分解结构,引入了一种加速的Benders分解算法。然后,我们提出了一种混合遗传算法,该算法使用Dijkstra算法来评估解。接下来,我们提出了一种混合变量邻域搜索算法,该算法使用Dijkstra算法来计算每个解的代价。同时,提出了一种松弛修复算法来寻找问题的近最优可行解。在USA423数据集上给出了计算结果。结果表明,所提出的松弛修复算法可以求解多达100个节点的实例。此外,所提出的混合算法可以解决多达423个节点的实例。本文提出的混合变量邻域搜索算法在求解大型实例时的性能优于混合遗传算法。
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引用次数: 2
A branch-and-price algorithm for the robust single-source capacitated facility location problem under demand uncertainty 需求不确定条件下鲁棒单源容量设施选址问题的分支价格算法
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2021.100069
Jaehyeon Ryu , Sungsoo Park

We consider the robust single-source capacitated facility location problem with uncertainty in customer demands. A cardinality-constrained uncertainty set is assumed for the robust problem. To solve it efficiently, we propose an allocation-based formulation derived by Dantzig–Wolfe decomposition and a branch-and-price algorithm. The computational experiments show that our branch-and-price algorithm outperforms CPLEX in many cases, which solves the ordinary robust reformulation. We also examine the trade-off relationship between the empirical probability of infeasibility and the additional costs incurred and observe that the robustness of solutions can be improved significantly with small additional costs.

考虑客户需求不确定的鲁棒单源容量设施选址问题。对于鲁棒性问题,假设一个基数约束的不确定性集。为了有效地解决这一问题,我们提出了一个基于dantzigg - wolfe分解的分配公式和一个分支-价格算法。计算实验表明,该算法在许多情况下都优于CPLEX算法,解决了一般的鲁棒重构问题。我们还研究了不可行的经验概率与产生的额外成本之间的权衡关系,并观察到解决方案的鲁棒性可以在较小的额外成本下显着提高。
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引用次数: 6
Rapid fulfillment of online orders in omnichannel grocery retailing 在全渠道杂货零售中快速完成在线订单
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100082
Christian Dethlefs , Manuel Ostermeier , Alexander Hübner

Establishing innovative fulfillment options for online orders has become a key challenge for bricks-and-mortar retailers. A mere focus on store sales is no longer affordable due to the competition by pure online players. Retailers are continuously developing new approaches for online order fulfillment and last-mile logistics. Further shortening lead times is becoming even more important in this context. One recently developed concept is the omnichannel approach where existing structures are utilized and distribution centers (DCs) and local stores are integrated into a holistic fulfillment concept. This concept is especially relevant when retailers are providing fast delivery services (e.g., same-hour delivery). It resembles a multi-depot vehicle routing problem where all facilities act as depots and orders are assigned based on processing and transportation costs as well as available delivery capacity.

We address this new concept and present the novel problem for rapid integrated order fulfillment in grocery retailing. We empirically identify decision-relevant costs for order processing in stores and develop an approach for the evaluation of overall fulfillment costs. Our work considers the order assignment to heterogeneous depots and vehicle routing for each depot depending on depot-specific fulfillment costs using a tailored cluster-first-route-second heuristic. We show that integrated rapid order fulfillment can reduce costs by an average of 7.4% compared to order fulfillment from DCs. However, as order processing costs in stores remain a significant cost factor, DCs will always have some relevance and cannot entirely be replaced by delivery from stores. Our results highlight the importance of modeling order processing costs in stores for actual order fulfillment decisions in a heterogeneous network.

为在线订单建立创新的履行方式已成为实体零售商面临的一项关键挑战。由于纯粹的在线玩家的竞争,仅仅关注实体店销售已经无法承受。零售商正在不断开发在线订单履行和最后一英里物流的新方法。在这种情况下,进一步缩短交货时间变得更加重要。最近发展起来的一个概念是全渠道方法,即利用现有结构,将配送中心(dc)和当地商店整合到一个整体履行概念中。当零售商提供快速送货服务(例如,同小时送货)时,这个概念尤其相关。它类似于一个多仓库车辆路线问题,其中所有设施都充当仓库,订单是根据加工和运输成本以及可用的交付能力分配的。我们解决了这一新概念,并提出了在杂货零售中快速集成订单履行的新问题。我们在经验上确定了与商店订单处理决策相关的成本,并开发了一种评估总体履行成本的方法。我们的工作考虑了异构仓库的订单分配和每个仓库的车辆路线,这取决于仓库特定的履行成本,使用定制的集群第一路线第二启发式方法。我们表明,与dc的订单履行相比,集成的快速订单履行可以平均降低7.4%的成本。然而,由于商店的订单处理成本仍然是一个重要的成本因素,配送中心将始终具有一定的相关性,并且不能完全被商店配送所取代。我们的结果强调了在异构网络中对商店的实际订单履行决策建模订单处理成本的重要性。
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引用次数: 6
Crane scheduling for end-of-aisle picking: Complexity and efficient solutions based on the vehicle routing problem 通道末端拣选起重机调度:基于车辆路径问题的复杂高效解决方案
IF 2.4 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE Pub Date : 2022-01-01 DOI: 10.1016/j.ejtl.2022.100085
Nils Boysen , Simon Emde , Konrad Stephan

To relieve human order pickers from unproductive walking through a warehouse, parts-to-picker systems deliver demanded stock keeping units (SKUs) toward picking workstations. In a wide-spread parts-to-picker setup, a crane-operated automated storage and retrieval system (ASRS) delivers bins with demanded SKUs toward an end-of-aisle picking workstation and returns them back into the rack once the picks are completed. We consider the scheduling of the crane that operates subsequent dual commands. Each dual command combines a retrieval request for another SKU bin demanded at the picking workstation with a storage request, where a bin that has already been processed and passed through the bin buffer is returned to its dedicated storage position in the ASRS. This system setup in general and the resulting crane scheduling problem in particular have been an active field of research for more than 30 years. We add the following contributions to this stream of research: We finally prove that the crane scheduling problem is strongly NP-hard. Furthermore, we show that, although only a single vehicle (namely, the crane) is applied, the problem is equivalent to the traditional vehicle routing problem (VRP). This opens the rich arsenal of very efficient VRP solvers, which substantially outperform existing tailor-made algorithms from the literature.

为了使拣货员不必在仓库中无效率地走动,零件到拣货员系统向拣货工作站交付所需的库存单元(sku)。在广泛的零件到拣货装置中,起重机操作的自动存储和检索系统(ASRS)将带有所需sku的箱子送到通道末端的拣货工作站,拣货完成后将它们放回货架。我们考虑操作后续双指令的起重机的调度。每个双命令结合了拾取工作站所需的另一个SKU箱的检索请求和存储请求,其中已经处理并通过箱缓冲区的箱返回到ASRS中的专用存储位置。30多年来,这一系统的总体设置以及由此产生的起重机调度问题一直是一个活跃的研究领域。我们最终证明了起重机调度问题是强np困难的。此外,我们表明,虽然只应用了一辆汽车(即起重机),但该问题相当于传统的车辆路线问题(VRP)。这打开了非常有效的VRP求解器的丰富武器库,它大大优于文献中现有的定制算法。
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引用次数: 2
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EURO Journal on Transportation and Logistics
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