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We consider the problem of routing for logistics purposes, in a contested environment where an adversary attempts to disrupt the vehicle along the chosen route. We construct a game-theoretic model that captures the problem of optimal…

Computer Science and Game Theory · Computer Science 2025-08-15 Jakub Černý , Garud Iyengar , Christian Kroer

We present a Stackelberg game model to investigate how individuals make their decisions on timing and route selection. Group formation can naturally result from these decisions, but only when individuals arrive at the same time and choose…

Computer Science and Game Theory · Computer Science 2025-08-26 Chenlan Wang , Mingyan Liu

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

In temporal planning, many different temporal network formalisms are used to model real world situations. Each of these formalisms has different features which affect how easy it is to determine whether the underlying network of temporal…

Artificial Intelligence · Computer Science 2019-01-09 Nikhil Bhargava , Brian Williams

We study a model of binary decisions in a fully connected network of interacting agents. Individual decisions are determined by social influence, coming from direct interactions with neighbours, and a group level pressure that accounts for…

Probability · Mathematics 2021-10-27 Michele Aleandri , Ida Germana Minelli

Temporal graphs extend ordinary graphs with discrete time that affects the availability of edges. We consider solving games played on temporal graphs where one player aims to explore the graph, i.e., visit all vertices. The complexity…

Computer Science and Game Theory · Computer Science 2025-06-16 Pete Austin , Nicolas Mazzocchi , Sougata Bose , Patrick Totzke

The present paper is devoted to the study of average consensus problems for undirected networks of dynamic agents having communication delays. The accent is put here on the study of the time-delays influence: both constant and time-varying…

Optimization and Control · Mathematics 2020-10-02 Pierre-Alexandre Bliman , Giancarlo Ferrari-Trecate

We consider the following modification of annihilation game called node blocking. Given a directed graph, each vertex can be occupied by at most one token. There are two types of tokens, each player can move his type of tokens. The players…

Computer Science and Game Theory · Computer Science 2021-03-05 Dariusz Dereniowski

The emerging connected-vehicle technology provides a new dimension in developing more intelligent traffic control algorithms for signalized intersections in networked transportation systems. An important challenge for the scheduling problem…

Networking and Internet Architecture · Computer Science 2017-01-20 Ping-Chun Hsieh , Xi Liu , Jian Jiao , I-Hong Hou , Yunlong Zhang , P. R. Kumar

Graph Exploration problems ask a searcher to explore an unknown environment. The environment is modeled as a graph, where the searcher needs to visit each vertex beginning at some vertex. Treasure Hunt problems are a variation of Graph…

Computational Complexity · Computer Science 2024-12-02 Janosch Fuchs , Christoph Grüne , Tom Janßen

Many networks are used to transfer information or goods, in other words, they are navigated. The larger the network, the more difficult it is to navigate efficiently. Indeed, information routing in the Internet faces serious scalability…

Physics and Society · Physics 2017-09-19 Kaj-Kolja Kleineberg , Dirk Helbing

This paper studies strategies to optimize the lane configuration of a transportation network for a given set of Origin-Destination demands using a planning macroscopic network flow model. The lane reversal problem is, in general, NP-hard…

Optimization and Control · Mathematics 2021-07-16 Salomon Wollenstein-Betech , Ioannis Ch. Paschalidis , Christos G. Cassandras

We consider a largely untapped potential for the improvement of traffic networks that is rooted in the inherent uncertainty of travel times. Travel times are subject to stochastic uncertainty resulting from various parameters such as…

Computer Science and Game Theory · Computer Science 2025-10-22 Svenja M. Griesbach , Martin Hoefer , Max Klimm , Tim Koglin

Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements…

Probability · Mathematics 2025-10-29 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

Complex networks provide a suitable framework to characterize air traffic. Previous works described the world air transport network as a graph where direct flights are edges and commercial airports are vertices. In this work, we focus…

Physics and Society · Physics 2014-07-28 Pablo Fleurquin , José J. Ramasco , Victor M. Eguíluz

Airlines are critical today for carrying people and commodities on time. Any delay in the schedule of these planes can potentially disrupt the business and trade of thousands of employees at any given time. Therefore, precise flight delay…

Machine Learning · Computer Science 2022-08-23 Sia Gholami , Saba Khashe

Games on graphs provide a natural and powerful model for reactive systems. In this paper, we consider generalized reachability objectives, defined as conjunctions of reachability objectives. We first prove that deciding the winner in such…

Computational Complexity · Computer Science 2012-02-06 Nathanaël Fijalkow , Florian Horn

Modern applications are highly sensitive to communication delays and throughput. This paper surveys major attempts on reducing latency and increasing the throughput. These methods are surveyed on different networks and surroundings such as…

Networking and Internet Architecture · Computer Science 2020-09-09 Amir Mirzaeinnia , Mehdi Mirzaeinia , Abdelmounaam Rezgui

We study learning dynamics induced by myopic travelers who repeatedly play a routing game on a transportation network with an unknown state. The state impacts cost functions of one or more edges of the network. In each stage, travelers…

Multiagent Systems · Computer Science 2019-05-14 Manxi Wu , Saurabh Amin

In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar problem? In order to address this question, we present…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Martin Schonhof , Hans-Ulrich Stark , Janusz A. Holyst