# CULTURAL SWARMS - Knowledge-driven Framework for Solving Nonlinearly Constrained Global Optimization Problems

### Mostafa Z. Ali, Yaser Khamayseh, Robert G. Reynolds

#### Abstract

In this paper we investigate how diverse knowledge sources interact to direct individuals in a swarm population influenced by a social fabric approach to efficiently solve nonlinearly constrained global minimization problems. We identify how knowledge sources used by Cultural Algorithms are combined to direct the decisions of the individual agents in solving optimization problems using an influence function family based upon a Social Fabric metaphor. The interaction of these knowledge sources with the population swarms produced emergent phases of problem solving. This reflected an algorithmic process that emerged from the interaction of the knowledge sources under the influence of a social fabric using different configurations. This suggests that the social interaction of individuals coupled with their interaction with a culture within which they are embedded provides a powerful vehicle for the solution of nonlinearly constrained optimization problems. The algorithm can escape from the previously converged local minimizers, and can converge to an approximate global minimizer of the problem asymptotically. Numerical experiments show that it is better than many other well-known recent methods for constrained global optimization.

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#### Paper Citation

#### in Harvard Style

Z. Ali M., Khamayseh Y. and G. Reynolds R. (2009). **CULTURAL SWARMS - Knowledge-driven Framework for Solving Nonlinearly Constrained Global Optimization Problems** . In *Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICEC, (IJCCI 2009)* ISBN 978-989-674-014-6, pages 103-110. DOI: 10.5220/0002282301030110

#### in Bibtex Style

@conference{icec09,

author={Mostafa Z. Ali and Yaser Khamayseh and Robert G. Reynolds},

title={CULTURAL SWARMS - Knowledge-driven Framework for Solving Nonlinearly Constrained Global Optimization Problems},

booktitle={Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICEC, (IJCCI 2009)},

year={2009},

pages={103-110},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002282301030110},

isbn={978-989-674-014-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICEC, (IJCCI 2009)

TI - CULTURAL SWARMS - Knowledge-driven Framework for Solving Nonlinearly Constrained Global Optimization Problems

SN - 978-989-674-014-6

AU - Z. Ali M.

AU - Khamayseh Y.

AU - G. Reynolds R.

PY - 2009

SP - 103

EP - 110

DO - 10.5220/0002282301030110