Title
Deterministic nonlinear modeling of ant algorithm with logistic multiagent 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 multiagent 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.
Year
DOI
Venue
2007
10.1145/1329125.1329293
adaptive agents and multi-agents systems
Keywords
Field
DocType
logistic nonlinear decision map,logistic multiagent system,ant level,deterministic nonlinear modeling,binary bridge problem,deterministic chaos theory,current stochastic approach,decision function,alternative deterministic model,ant algorithm,mathematical form,stochastic decision function,programming paradigm,symmetry breaking,debugging,swarm intelligence
Convergence (routing),Nonlinear system,Computer science,Swarm intelligence,Theoretical computer science,Artificial intelligence,Chaos theory,Programming paradigm,Agent-oriented software engineering,Algorithm,Rewriting,Deterministic system,Machine learning
Conference
Citations 
PageRank 
References 
2
0.57
4
Authors
3
Name
Order
Citations
PageRank
Rodolphe Charrier1162.42
Christine Bourjot210213.97
Francois Charpillet315416.96