2012
DOI: 10.1007/s11721-012-0074-3
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The dynamics of ant colony optimization algorithms applied to binary chains

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Cited by 13 publications
(23 citation statements)
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“…In the alphaUpdate() function, the value of alpha increases in order to increase the pheromone field effect in the ants' choice, based on (1). This is an online adjustment of the exploration/exploitation balance found 16 to lead the system to convergence.…”
Section: Path Evaluationmentioning
confidence: 99%
“…In the alphaUpdate() function, the value of alpha increases in order to increase the pheromone field effect in the ants' choice, based on (1). This is an online adjustment of the exploration/exploitation balance found 16 to lead the system to convergence.…”
Section: Path Evaluationmentioning
confidence: 99%
“…The stability analysis, to be presented in what follows, shows that only the desired equilibrium is stable, while all others are unstable. Curiously, such analyses are virtually absent from the ACO literature, exceptions being the papers of Jayadeva et al (2013); Iacopino and Palmer (2012). In fact, convergence to spurious equilibria is often reported in the literature and a specific analysis of this is given in a particular case in Iacopino and Palmer (2012), in which the ACO dynamics actually possess spurious stable equilibria.…”
Section: Local Asymptotic Stability Of the Equilibriamentioning
confidence: 99%
“…EigenAnt showed the local stability of the equilibrium corresponding to the shortest path, and presented simulation results indicating robustness of this stability to parameter choices. The approach of Gutjahr (2006) was used in Iacopino and Palmer (2012) to derive a continuous model, while EigenAnt, which is a discrete model, was proposed independently in Jayadeva et al (2013), based on similar considerations.…”
Section: Introductionmentioning
confidence: 99%
“…The current implementation modifies this parameter in order to reduce progressively the ants exploration while increasing their exploitation. An extended mathematical analysis of the effects of α on the system's dynamics can be found in [21]. The system is considered converged to a solution when the pheromone value of one edge of each node is below a specific threshold.…”
Section: Algorithm Implementationmentioning
confidence: 99%