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In vehicular traffic planning it is a long standing problem how to assign demand such on the available model of a road network that an equilibrium with regard to travel time or generalized costs is realized. For pedestrian traffic this…

Multiagent Systems · Computer Science 2014-01-09 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

Binary relations are one of the standard ways to encode, characterise and reason about graphs. Relation algebras provide equational axioms for a large fragment of the calculus of binary relations. Although relations are standard tools in…

Logic in Computer Science · Computer Science 2018-12-18 Rudolf Berghammer , Hitoshi Furusawa , Walter Guttmann , Peter Höfner

Connectivity and layout of underlying networks largely determine the behavior of many environments. For example, transportation networks determine the flow of traffic in cities, or maps determine the difficulty and flow in games. Designing…

Computational Geometry · Computer Science 2015-11-02 Chi-Han Peng , Niloy J. Mitra , Fan Bao , Dong-Ming Yan , Peter Wonka

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

In the regime of bounded transportation costs, additive approximations for the optimal transport problem are reduced (rather simply) to relative approximations for positive linear programs, resulting in faster additive approximation…

Data Structures and Algorithms · Computer Science 2018-10-23 Kent Quanrud

In a given 2D space, we can have points with different levels of importance. One would prefer viewing those points from a closer/farther position per their level of importance. A point in 2D from where the user can view two given points per…

Computational Geometry · Computer Science 2023-06-27 Vijayraj Shanmugaraj , Lini Thomas , Kamalakar Karlapalem

Within this paper, we present a novel routing algorithm capable of providing not only truly intermodal routes but also coming up with route alternatives. These route alternatives feature different route and mode choices while still…

Networking and Internet Architecture · Computer Science 2020-12-23 Matthias Prandtstetter , Clovis Seragiotto , Markus Straub , Babis Magoutas , Efthimios Bothos , Luka Bradesko

Smart city has been consider the wave of the future and the route recommendation in networks is a fundamental problem in it. Most existing approaches for the shortest route problem consider that there is only one kind of cost in networks.…

Databases · Computer Science 2020-04-28 Yajun Yang , Hang Zhang , Hong Gao , Qinghua Hu , Xin Wang

Vehicle routing is a well-known optimization research topic with significant practical importance. Among different approaches to solving vehicle routing, heuristics can produce a satisfactory solution at a reasonable computational cost.…

Artificial Intelligence · Computer Science 2023-03-09 Fei Liu , Chengyu Lu , Lin Gui , Qingfu Zhang , Xialiang Tong , Mingxuan Yuan

Segment Routing is a recent network technology that helps optimizing network throughput by providing finer control over the routing paths. Instead of routing directly from a source to a target, packets are routed via intermediate waypoints.…

Computational Complexity · Computer Science 2025-01-08 Cristina Bazgan , Morgan Chopin , André Nichterlein , Camille Richer

Path-planning algorithms are an important part of a wide variety of robotic applications, such as mobile robot navigation and robot arm manipulation. However, in large search spaces in which local traps may exist, it remains challenging to…

Machine Learning · Computer Science 2019-08-12 Yuka Ariki , Takuya Narihira

Speedrunning in general means to play a video game fast, i.e. using all means at one's disposal to achieve a given goal in the least amount of time possible. To do so, a speedrun must be planned in advance, or routed, as referred to by the…

Neural and Evolutionary Computing · Computer Science 2022-04-22 Matthias Groß , Dietlind Zühlke , Boris Naujoks

We study an important practical aspect of the route planning problem in real-world road networks -- maneuvers. Informally, maneuvers represent various irregularities of the road network graph such as turn-prohibitions, traffic light delays,…

Data Structures and Algorithms · Computer Science 2011-11-07 Petr Hlineny , Ondrej Moris

Most transportation networks are inherently temporal: Connections (e.g. flights, train runs) are only available at certain, scheduled times. When transporting passengers or commodities, this fact must be considered for the the planning of…

Data Structures and Algorithms · Computer Science 2022-01-17 Eugen Füchsle , Hendrik Molter , Rolf Niedermeier , Malte Renken

Due to the practical importance of vehicle routing problems (VRP), there exists an ever-growing body of research in algorithms and (meta)heuristics for solving such problems. However, the diversity of VRP domains creates the separate…

Artificial Intelligence · Computer Science 2021-05-25 Konstantin Sidorov , Alexander Morozov

We study exact, efficient and practical algorithms for route planning in large road networks. Routing applications often require integrating the current traffic situation, planning ahead with traffic predictions for the future, respecting…

Data Structures and Algorithms · Computer Science 2021-03-29 Ben Strasser , Tim Zeitz

A method for computing probabilistic propositions is presented. It assumes the availability of a single external routine for computing the probability of one instantiated variable, given a conjunction of other instantiated variables. In…

Artificial Intelligence · Computer Science 2013-04-11 Gregory F. Cooper

In this paper we study a long-haul truck scheduling problem where a path has to be determined for a vehicle traveling from a specified origin to a specified destination. We consider refueling decisions along the path, while accounting for…

Optimization and Control · Mathematics 2022-10-26 Claudia Archetti , Andrea Mor , Ola Jabali , Alberto Simonetto , M. Grazia Speranza

Line planning, i.e. choosing paths which are operated by one vehicle end-to-end, is an important aspect of public transport planning. While there exists heuristic procedures for generating lines from scratch, most theoretical observations…

Combinatorics · Mathematics 2022-05-20 Irene Heinrich , Philine Schiewe , Constantin Seebach

The traffic assignment problem (TAP) aims to predict how traffic flows distribute themselves across a road network, traditionally requiring computationally expensive iterative simulations to reach a user equilibrium (UE) where no driver can…

Optimization and Control · Mathematics 2026-05-08 Isolda Cardoso , Lucas Venturato , Jorgelina Walpen