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Multi-Agent Path Finding (MAPF) is a fundamental problem in robotics that asks us to compute collision-free paths for a team of agents, all moving across a shared map. Although many works appear on this topic, all current algorithms…

Artificial Intelligence · Computer Science 2024-02-01 Zhe Chen , Daniel Harabor , Jiaoyang Li , Peter J. Stuckey

The recently suggested correspondence between domain dynamics of traffic models and the asymmetric chipping model is reviewed. It is observed that in many cases traffic domains perform the two characteristic dynamical processes of the…

Statistical Mechanics · Physics 2009-11-10 E. Levine , G. Ziv , L. Gray , D. Mukamel

The way of analyzing, designing and building of real-time projects has been changed due to the rapid growth of internet, mobile technologies and intelligent applications. Most of these applications are intelligent, tiny and distributed…

Multiagent Systems · Computer Science 2011-08-03 Venkatesh. M , K. Kumar , Srinivas. V

We investigate a traffic model in which cars either move freely with quenched intrinsic velocities or belong to clusters formed behind slower cars. In each cluster, the next-to-leading car is allowed to pass and resume free motion. The…

Statistical Mechanics · Physics 2009-10-31 I. Ispolatov , P. L. Krapivsky

In two intersecting many-particle streams, one can often find the emergence of oscillatory patterns. Here, we investigate the interaction of pedestrians with vehicles, when they try to cross a road. A numerical study of this coupled…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Rui Jiang , Martin Treiber

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

Condensed Matter · Physics 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

The development of smart city transport systems, including self-driving cars, leads to an increase in the threat of hostile interference in the processes of vehicle control. This interference may disrupt the normal functioning of the…

Physics and Society · Physics 2023-02-13 Nikita V. Bykov

We analyze the steady-state flow as a function of the initial density for a class of deterministic cellular automata rules (``traffic rules'') with periodic boundary conditions [H. Fuks and N. Boccara, Int. J. Mod. Phys. C 9, 1 (1998)]. We…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Janne V. Kujala , Tuomas J. Lukka

Traffic congestion represents a complex urban phenomenon that has been the subject of extensive research employing various modeling techniques grounded in the principles of physics and molecular theory. Although factors such as road design,…

Theoretical Economics · Economics 2025-10-07 Shawn Berry

A simple model that describes traffic flow in two dimensions is studied. A sharp {\it jamming transition } is found that separates between the low density dynamical phase in which all cars move at maximal speed and the high density jammed…

Condensed Matter · Physics 2009-10-22 Ofer Biham , A. Alan Middleton , Dov Levine

Packet traffic in complex networks undergoes the jamming transition from free-flow to congested state as the number of packets in the system increases. Here we study such jamming transition when queues are operated by the priority queuing…

Other Condensed Matter · Physics 2015-05-13 K. Kim , B. Kahng , D. Kim

We propose a dynamic model for a system consisting of self-propelled agents in which the influence of an agent on another agent is weighted by geographical distance. A parameter $\alpha$ is introduced to adjust the influence: the smaller…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Tao Zhou , Liang Huang

A family of multi-value cellular automaton (CA) associated with traffic flow is presented in this paper. The family is obtained by extending the rule-184 CA, which is an ultradiscrete analogue to the Burgers equation. CA models in the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Katsuhiro Nishinari , Daisuke Takahashi

Most traffic flow control algorithms address switching cycle adaptation of traffic signals and lights. This work addresses traffic flow optimisation by self-organising micro-level control combining Reinforcement Learning and rule-based…

Artificial Intelligence · Computer Science 2022-02-25 Stefan Bosse

We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lattice. We analyze the underlying statistical assumptions…

Probability · Mathematics 2012-09-27 Cory Hauck , Yi Sun , Ilya Timofeyev

Cellular automaton (CA) approach is an important theoretical framework for studying complex system behavior and has been widely applied in various research field. CA traffic flow models have the advantage of flexible evolution rules and…

Cellular Automata and Lattice Gases · Physics 2018-10-09 Junfang Tian , Chenqiang Zhu , Rui Jiang

We study the effect of contingent movement on the persistence of cooperation on complex networks with empty nodes. Each agent plays Prisoner's Dilemma game with its neighbors and then it either updates the strategy depending on the payoff…

Populations and Evolution · Quantitative Biology 2018-04-18 Genki Ichinose , Yoshiki Satotani , Takashi Nagatani

A cellular automaton named Rule 184++C is proposed as a meta-model to investigate the flow of various complex particles. In this model, unlike the granular pipe flow and the traffic flow, not only the free-jam phase transition but also the…

comp-gas · Physics 2009-10-31 A. Awazu

Transitions between two lanes often have a significant impact on various forms of road traffic. To address this problem, we have developed a two-lane asymmetric simple exclusion process model and two hypothetical traffic control strategies,…

Physics and Society · Physics 2022-12-14 Yuming Dong , Xiaolu Jia , Daichi Yanagisawa , Akihito Nagahama , Katsuhiro Nishinari

In this work, we investigate the statistical properties of drink serving in a nightclub bar, utilizing a stochastic model to characterize pedestrian dynamics within the venue. Our model comprises a system of n agents moving across an…

Physics and Society · Physics 2024-04-08 Eduardo V. Stock , Roberto da Silva , Sebastián Gonçalves
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