Actas de congresos
A Decision-making Differential Model For Social Insects
Registro en:
International Journal Of Computer Mathematics. , v. 86, n. 10-11, p. 1907 - 1920, 2009.
207160
10.1080/00207160902878530
2-s2.0-76249095634
Autor
Assis R.A.
Venturino E.
Ferreira Jr. W.C.
Da Luz E.F.P.
Institución
Resumen
In this work, we present a model for the phenomena of collective decision-making in social insects, using an n-dimensional system of differential equations. We perform a complete stability analysis for a special case in the model, and present numerical simulations to illustrate the behaviour of the model in the more general case. The analysis shows that up to a range of values of the parameters in the model, distinct processes of decision-making in the social insects could be modelled by the same mathematical equations. Finally, use the analysis of the mathematical model to discuss possible improvements in the performance of ant algorithms, presenting preliminary results. 86 10-11 1907 1920 Assis De, R.A., De Assis, E.L.M., Um modelo diferencial de recrutamento de formigas (2007) Biomatemática, 17, pp. 35-46 Bonabeau, E., Dorigo, M., Theraulaz, G., (1999) Swarm Intelligence: From Natural to Artificial Systems, , Oxford University Press, NewYork Bullnheimer, B., Hartl, R.F., Strauss, C., A new rank based version of the ant system: A computational study (1999) Cent. Eur. J. Oper. Res. Econ., 7 (1), pp. 25-38 Denebourg, J.L., Aron, S., Goss, S., Pasteels, J.M., The self-organizing exploratory pattern of the argentine ant (1989) J. Insect Behav., 3, pp. 159-168 Di Caro, G., Dorigo, M., Ant Net: Distributed stigmergetic control for communications networks (1998) J. Artif. Intell. Res., 9, pp. 317-365 Dorigo, M., Di Caro, G., Ant algorithms for discrete optimization (1999) Artif. Life, 5, pp. 137-172 Lioni, A., Denebourg, J.L., Collective decision through self assembling (2004) Naturwissenschaften, 91, pp. 237-241 Martin-Vaquero, J., Vigo-Aguiar, J., Exponential fitting BDF algorithms: Explicit and implicit 0-stable methods (2006) J. Comput. Appl. Math., 192 (1), pp. 100-113 Martinolli, A., Ijspeert, A.J., Mondana, F., Understanding collective aggregation mechanisms: From probabilistic modelling to experiments with real robots (1999) Robotics Auton. Syst., 29, pp. 51-63 Natesan, S., Vigo-Aguiar, J., Ramanujan, N., A numerical algorithm for singular perturbation problems exhibiting weak boundary layers (2003) Comput. Math. Appl., 45 (1-3), pp. 469-479 Pratt, S.C., Behavioral mechanisms of collective nest choice by the ant Temnothorax curvispinosus (2005) Insect. Soc., 52, pp. 383-392 Pratt, S.C., Mallon, E.B., Sumper, D.J.T., Franks, N.R., Quorum sensing, recruitment, and collective decisionmaking during colony emigration by the ant Leptothorax albipennis (2002) Behav. Ecol. Sociobiol., 52, pp. 117-127 Simos, T.E., Vigo-Aguiar, J., On the construction of efficient methods for second order IVPS with oscillating solution (2001) Int. J. Modern Phys. C, 12 (10), pp. 1453-1476 Stützle, T., Hoos, H., MAX MIN ant system (2000) Future Gen. Comput. Syst., 16 (8), pp. 889-914 Sudd, J.H., Franks, N.R., (1987) The Behavioural Ecology of Ants, , Chapman and Hall, Cambridge