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Consider a distribution of citizens in an urban area in which some services (supermarkets, post offices...) are present. Each citizen, in order to use a service, spends an amount of time which is due both to the travel time to the service…

Optimization and Control · Mathematics 2008-11-13 Gianluca Crippa , Chloé Jimenez , Aldo Pratelli

Travel time estimation is an important component in modern transportation applications. The state of the art techniques for travel time estimation use GPS traces to learn the weights of a road network, often modeled as a directed graph,…

Physics and Society · Physics 2020-06-18 Sofiane Abbar , Rade Stanojevic , Mohamed Mokbel

Travel time or speed estimation are part of many intelligent transportation applications. Existing estimation approaches rely on either function fitting or aggregation and represent different trade-offs between generalizability and…

Machine Learning · Computer Science 2021-04-28 Tobias Skovgaard Jepsen , Christian S. Jensen , Thomas Dyhre Nielsen

Real time traffic navigation is an important capability in smart transportation technologies, which has been extensively studied these years. Due to the vast development of edge devices, collecting real time traffic data is no longer a…

Signal Processing · Electrical Eng. & Systems 2020-04-03 Yimin Fan , Zhiyuan Wang , Yuanpeng Lin , Haisheng Tan

In route selection problems, the driver's personal preferences will determine whether she prefers a route with a travel time that has a relatively low mean and high variance over one that has relatively high mean and low variance. In…

Optimization and Control · Mathematics 2022-10-05 Rens Kamphuis , Michel Mandjes , Paulo Serra

Travel time on a route varies substantially by time of day and from day to day. It is critical to understand to what extent this variation is correlated with various factors, such as weather, incidents, events or travel demand level in the…

Applications · Statistics 2019-10-17 Shuguan Yang , Sean Qian

In this paper, we consider the task of predicting travel times between two arbitrary points in an urban scenario. We view this problem from two temporal perspectives: long-term forecasting with a horizon of several days and short-term…

Machine Learning · Statistics 2021-05-25 He Huang , Martin Pouls , Anne Meyer , Markus Pauly

We present an economics-based method for deciding the optimal rates at which vehicles are allowed to enter a highway. The method exploits the naturally occuring fluctuations of traffic flow and is flexible enough to adapt in real time to…

Statistical Mechanics · Physics 2007-05-23 Bernardo A. Huberman , Dirk Helbing

Trajectory planning involves generating a series of space points to be followed in the near future. However, due to the complex and uncertain nature of the driving environment, it is impractical for autonomous vehicles~(AVs) to exhaustively…

Robotics · Computer Science 2024-09-23 Ren Xin , Jie Cheng , Sheng Wang , Ming Liu

A hotspot of a moving entity is a region in which it spends a significant amount of time. Given the location of a moving object through a certain time interval, i.e. its trajectory, our goal is to find its hotspots. We consider…

Computational Geometry · Computer Science 2018-05-29 Ali Gholami Rudi

Statistical mechanics of a disordered system of cars on a single-lane road is developed. Behaviour of cars is defined by conditional probability of car velocity depending on the distance and velocity of the car ahead. A system consisting of…

Statistical Mechanics · Physics 2009-08-13 Anton Šurda

In the present paper single-vehicle data of highway traffic are analyzed in great detail. By using the single-vehicle data directly empirical time-headway distributions and speed-distance relations can be established. Both quantities yield…

Condensed Matter · Physics 2009-10-31 L. Neubert , L. Santen , A. Schadschneider , M. Schreckenberg

We study the problem of optimal multi-robot path planning on graphs MPP over four distinct minimization objectives: the makespan (last arrival time), the maximum (single-robot traveled) distance, the total arrival time, and the total…

Robotics · Computer Science 2015-07-14 Jingjin Yu , Steven M. LaValle

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

For a set $Q$ of points in the plane and a real number $\delta \ge 0$, let $\mathbb{G}_\delta(Q)$ be the graph defined on $Q$ by connecting each pair of points at distance at most $\delta$. We consider the connectivity of…

Computational Geometry · Computer Science 2023-12-13 Sergio Cabello , David Gajser

This paper presents an integrated approach for efficient path planning and energy management in hybrid unmanned aerial vehicles (HUAVs) equipped with dual fuel-electric propulsion systems. These HUAVs operate in environments that include…

Optimization and Control · Mathematics 2025-05-27 Saurabh Belgaonkar , Deepak Prakash Kumar , Sivakumar Rathinam , Swaroop Darbha , Trevor Bihl

Simple physical models based on fluid mechanics have long been used to understand the flow of vehicular traffic on freeways; analytically tractable models of flow on an urban grid, however, have not been as extensively explored. In an ideal…

Physics and Society · Physics 2013-10-21 Mark J Panaggio , Bertrand J Ottino-Löffler , Peiguang Hu , Daniel M Abrams

Optimal transport has gained significant attention in recent years due to its effectiveness in deep learning and computer vision. Its descendant metric, the Wasserstein distance, has been particularly successful in measuring distribution…

Optimization and Control · Mathematics 2025-02-18 Kaiwen Shi

Efficiently computing fast paths in large scale dynamic road networks (where dynamic traffic information is known over a part of the network) is a practical problem faced by several traffic information service providers who wish to offer a…

Networking and Internet Architecture · Computer Science 2007-06-27 Giacomo Nannicini , Philippe Baptiste , Gilles Barbier , Daniel Krob , Leo Liberti

The paper is concerned with elongating the shortest curvature-bounded path between two oriented points to an expected length. The elongation of curvature-bounded paths to an expected length is fundamentally important to plan missions for…

Optimization and Control · Mathematics 2024-01-04 Zheng Chen , Kun Wang , Yang Lu