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Deterministic Nonlinear Modeling of Ant Algorithm with Logistic Multi-Agent System
Abstract : Ant algorithms are one of the main programming paradigms in swarm intelligence. They are built on stochastic decision functions, which can also be found in other types of bio-inspired algorithms with the same mathematical form. However, though this modeling leads to high-performance algorithms, some phenomena, like symmetry break, are still not well understood or modeled at the ant level. This paper proposes an original analysis of the problem : we establish a reactive multi-agent system based on logistic nonlinear decision maps, and designed according to the influence-reaction scheme. Our proposition is an entirely novel approach to the mathematical foundations of ant algorithms : contrary to the current stochastic approaches, we show that an alternative deterministic model exists, which has its origin in deterministic chaos theory. The rewriting of the decision functions leads to a new way of understanding and visualizing the convergence behavior of ant algorithms. We apply our approach on a concrete example, namely the binary bridge problem.
Cited literature [6 references]
https://hal.inria.fr/inria-00168313
Contributor : Rodolphe Charrier <>
Submitted on : Wednesday, March 16, 2011 - 2:04:36 PM
Last modification on : Thursday, February 7, 2019 - 4:33:59 PM
Long-term archiving on: : Thursday, November 8, 2012 - 11:55:19 AM
Contributor : Rodolphe Charrier <>
Submitted on : Wednesday, March 16, 2011 - 2:04:36 PM
Last modification on : Thursday, February 7, 2019 - 4:33:59 PM
Long-term archiving on: : Thursday, November 8, 2012 - 11:55:19 AM
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Aamas07_RCharrier.pdf
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