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In train routing, the headway is the minimum distance that must be maintained between successive trains for safety and robustness. We introduce a model for train routing that requires a fixed headway to be maintained between trains, and…

Data Structures and Algorithms · Computer Science 2025-07-08 Umang Bhaskar , Katharina Eickhoff , Lennart Kauther , Jannik Matuschke , Britta Peis , Laura Vargas Koch

Various hypotheses exist about the paths used for communication between the nodes of complex networks. Most studies simply suppose that communication goes via shortest paths, while others have more explicit assumptions about how routing…

The orienteering problem is a well-studied and fundamental problem in transportation science. In the problem, we are given a graph with prizes on the nodes and lengths on the edges, together with a budget on the overall tour length. The…

Optimization and Control · Mathematics 2024-07-04 Eduardo Álvarez-Miranda , Markus Sinnl , Kübra Tanınmış

Predicting future bus trip chains for an existing user is of great significance for operators of public transit systems. Existing methods always treat this task as a time-series prediction problem, but the 1-dimensional time series…

Machine Learning · Computer Science 2024-12-17 Xiannan Huang , Yixin Chen , Quan Yuan , Chao Yang

Consider a graph $G = (V, E)$ and some commuters, each specified by a tuple $(u, v, b)$ consisting of two nodes in the graph $u, v \in V$ and a non-negative real number $b$, specifying their budget. The goal is to find a pricing function…

Data Structures and Algorithms · Computer Science 2025-02-18 Andrei Constantinescu , Andrzej Turko , Roger Wattenhofer

Ride-sharing can reduce traffic congestion and thus reduce gas emissions and save travel time. However, transportation system with ride-sharing is currently inefficient due to low occupancy rate, high travel demand and some other factors.…

Data Structures and Algorithms · Computer Science 2019-01-24 Zeren Tan

We study the problem of minimizing overall trip time for battery electric vehicles in road networks. As battery capacity is limited, stops at charging stations may be inevitable. Careful route planning is crucial, since charging stations…

Data Structures and Algorithms · Computer Science 2019-10-23 Moritz Baum , Julian Dibbelt , Andreas Gemsa , Dorothea Wagner , Tobias Zündorf

In this paper, we explore existing synergies between private and public transportation as provided by taxi and bus services on the level of individual trips. While these modes are typically separated for economic reasons, in a future with…

Computers and Society · Computer Science 2020-09-22 Iva Bojic , Dániel Kondor , Wei Tu , Ke Mai , Paolo Santi , Carlo Ratti

Public transportation plays a critical role in people's daily life. It has been proven that public transportation is more environmentally sustainable, efficient, and economical than any other forms of travel. However, due to the increasing…

Artificial Intelligence · Computer Science 2020-07-15 Hao Liu , Ying Li , Yanjie Fu , Huaibo Mei , Jingbo Zhou , Xu Ma , Hui Xiong

We study two variants of the shortest path problem. Given an integer k, the k-color-constrained and the k-interchange-constrained shortest path problems, respectively seek a shortest path that uses no more than k colors and one that makes…

Data Structures and Algorithms · Computer Science 2020-08-28 Nassim Dehouche

It is well-known that the optimal transport problem on the real line for the classical distance cost may not have a unique solution. In this paper we recover uniqueness by considering the transport problems where the costs are a power…

Probability · Mathematics 2019-07-02 Nicolas Juillet

The performance of multimodal mobility systems relies on the seamless integration of conventional mass transit services and the advent of Mobility-on-Demand (MoD) services. Prior work is limited to individually improving various transport…

Computational Engineering, Finance, and Science · Computer Science 2021-05-24 Qi Luo , Samitha Samaranayake , Siddhartha Banerjee

When delivering items to a set of destinations, one can save time and cost by passing a subset to a sub-contractor at any point en route. We consider a model where a set of items are initially loaded in one vehicle and should be distributed…

Data Structures and Algorithms · Computer Science 2018-01-17 Stephan Held , Jochen Könemann , Jens Vygen

Motivated by an emerging framework of Autonomous Modular Vehicles, we consider the abstract problem of optimally routing two modules, i.e., vehicles that can attach to or detach from each other in motion on a graph. The modules' objective…

Optimization and Control · Mathematics 2023-02-13 Karan Jagdale , Melkior Ornik

This paper describes the results of research project on optimal pricing for LLC "Perm Local Rail Company". In this study we propose a regression tree based approach for estimation of demand function for local rail tickets considering high…

Econometrics · Economics 2019-05-31 Evgeniy M. Ozhegov , Alina Ozhegova

In this paper, we make a first attempt to incorporate both commuting demand and transit network connectivity in bus route planning (CT-Bus), and formulate it as a constrained optimization problem: planning a new bus route with k edges over…

Databases · Computer Science 2021-04-06 Sheng Wang , Yuan Sun , Christopher Musco , Zhifeng Bao

Computing shortest paths is one of the most researched topics in algorithm engineering. Currently available algorithms compute shortest paths in mere fractions of a second on continental sized road networks. In the presence of…

Data Structures and Algorithms · Computer Science 2014-08-01 Moritz Kobitzsch , Samitha Samaranayake , Dennis Schieferdecker

We study the journey planning problem in public transit networks. Developing efficient preprocessing-based speedup techniques for this problem has been challenging: current approaches either require massive preprocessing effort or provide…

Data Structures and Algorithms · Computer Science 2015-05-07 Daniel Delling , Julian Dibbelt , Thomas Pajor , Renato F. Werneck

Despite the ubiquity of transportation data, methods to infer the state parameters of a network either ignore sensitivity of route decisions, require route enumeration for parameterizing descriptive models of route selection, or require…

Multiagent Systems · Computer Science 2020-08-14 Susan Jia Xu , Mehdi Nourinejad , Xuebo Lai , Joseph Y. J. Chow

This paper presents a matching mechanism for assigning drivers to routes where the drivers pay a toll for the marginal delay they impose on other drivers. The simple matching mechanism is derived from the RANKING algorithm for online…

Computer Science and Game Theory · Computer Science 2020-02-14 J Ceasar Aguma , Amelia C. Regan