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It is well-known in biology that ants are able to find shortest paths between their nest and the food by successive random explorations, without any mean of communication other than the pheromones they leave behind them. This striking…

Probability · Mathematics 2020-10-13 Daniel Kious , Cécile Mailler , Bruno Schapira

Active walker models have recently proved their great value for describing the formation of clusters, periodic patterns, and spiral waves as well as the development of rivers, dielectric breakdown patterns, and many other structures. It is…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Frank Schweitzer , Joachim Keltsch , Peter Molnar

The traffic-like collective movement of ants on a trail can be described by a stochastic cellular automaton model. We have earlier investigated its unusual flow-density relation by using various mean field approximations and computer…

Statistical Mechanics · Physics 2009-11-10 A. Kunwar , A. John , K. Nishinari , A. Schadschneider , D. Chowdhury

The ants process is a stochastic process introduced by Kious, Mailler and Schapira as a model for the phenomenon of ants finding shortest paths between their nest and a source of food (seen as two marked nodes in a finite graph), with no…

Probability · Mathematics 2026-02-02 Cécile Mailler , Zoé Varin

Pheromones are a chemical substance produced and released by ants as means of communication. In this work we present the minimum amount of pheromones necessary and sufficient for a colony of ants (identical mobile agents) to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-06 Yehuda Afek , Roman Kecher , Moshe Sulamy

A spacially extended model of the collective behavior of a large number of locally acting organisms is proposed in which organisms move probabilistically between local cells in space, but with weights dependent on local morphogenetic…

adap-org · Physics 2008-06-25 Mark M. Millonas

Collective escaping is a ubiquitous phenomenon in animal groups. Symmetry breaking caused by panic escape exhibits a shared feature across species that one exit is used more than the other when agents escaping from a closed space with two…

Quantitative Methods · Quantitative Biology 2020-06-04 Geng Li , Weijia Wang , Jiahui Lin , Zhiyang Huang , Jianqiang Liang , Huabo Wu , Jianping Wen , Zengru Di , Bertrand Roehner , Zhangang Han

We investigate the organization of traffic flow on preexisting uni- and bidirectional ant trails. Our investigations comprise a theoretical as well as an empirical part. We propose minimal models of uni- and bi-directional traffic flow…

Swarm intelligence is widely recognized as a powerful paradigm of self-organized optimization, with numerous examples of successful applications in distributed artificial intelligence. However, the role of physical interactions in the…

Physics and Society · Physics 2008-10-28 Karsten Peters , Anders Johansson , Audrey Dussutour , Dirk Helbing

In this work, a new concept called Vector Dissipation of Randomness (VDR) is developed and formalized. It describes the mechanism by which complex multicomponent systems transition from chaos to order through the filtering of random…

Physics and Society · Physics 2025-03-25 Eldar Knar

In 2002, Chowdhury et al. introduced a simplified model aimed at depicting the dynamics of single-lane unidirectional ant traffic. Despite efforts, an exact solution for the stationary state of this ant-trail model remains elusive. The…

Statistical Mechanics · Physics 2024-06-24 Ngo Phuoc Nguyen Ngoc , Huynh Anh Thi , Nguyen Van Vinh

Stochastic modeling of movement behavior provides a valuable way to understand how complex motion can be generated from relatively simple building blocks. Ants demonstrate sophisticated social behavior ranging from foraging to nest…

Quantitative Methods · Quantitative Biology 2026-03-04 Jack Featherstone , Anouk Béraud , Meta Virant-Doberlet , Antonio Celani , Mahesh Bandi

A few of ant robots are dropped to a labirynth, formed by a square lattice with a small number of nodes removed. Ants move according to a deterministic algorithm designed to explore all corridors. Each ant remembers the shape of corridors…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Janusz Malinowski , Krzysztof Kułakowski

Artificial ants are "small" units, moving autonomously on a shared, dynamically changing "space", directly or indirectly exchanging some kind of information. Artificial ants are frequently conceived as a paradigm for collective adaptive…

Artificial Intelligence · Computer Science 2022-08-09 Peter Fettke , Wolfgang Reisig

Nutritional regulation by ants emerges from a distributed process: food is collected by a small fraction of workers, stored within the crops of individuals, and spreads via local ant-to-ant interactions. The precise individual level…

Populations and Evolution · Quantitative Biology 2021-07-26 Efrat Greenwald , Lior Baltiansky , Ofer Feinerman

Ants have evolved to seek and retrieve food by leaving trails of pheromones. This mechanism has inspired several approaches to decentralized multi-robot coordination. However, in this paper, we show that pheromone trails are a fragile…

Multiagent Systems · Computer Science 2022-03-30 Ashay Aswale , Antonio Lopez , Aukkawut Ammartayakun , Carlo Pinciroli

Using elementary distributed computing techniques we suggest an explanation for two unexplained phenomena in regards to ant colonies, (a) a substantial amount of ants in an ant colony are idle, and (b) the observed low survivability of new…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-23 Yehuda Afek , Deborah M. Gordon , Moshe Sulamy

Collective animal movement fascinates children and scientists alike. One of the most commonly given explanations for collective animal movement is improved foraging. Animals are hypothesized to gain from searching for food in groups. Here,…

Multiagent Systems · Computer Science 2019-04-08 Ravid Cohen , Yossi Yovel , Dan Halperin

Wasps, bees, ants and termites all make effective use of their environment and resources by displaying collective swarm intelligence. Termite colonies - for instance - build nests with a complexity far beyond the comprehension of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Vitorino Ramos , Carlos Fernandes , Agostinho C. Rosa

Social insect colonies routinely face large vertebrate predators, against which they need to mount a collective defense. To do so, honeybees use an alarm pheromone that recruits nearby bees into mass stinging of the perceived threat. This…

Populations and Evolution · Quantitative Biology 2021-06-01 Andrea López-Incera , Morgane Nouvian , Katja Ried , Thomas Müller , Hans J. Briegel