# HYBRID EVOLUTIONARY COMPUTATIONS - Application for Industry Investment Problem

### Tadeusz Dyduch

#### Abstract

The paper presents a special type of hybrid evolutionary computation, named by the authors Two-Level Adaptive Evolutionary Computation (TLAEC). The method consists in combination of evolutionary computation with deterministic optimization algorithms in a hierarchical system. Novelty of the method consists also in a new type of adaptation mechanism. Post optimal analysis of the lower level optimization task is utilized in order to modify probability distributions for new genotype generating. The paper presents an algorithm based on TLAEC method, solving a difficult optimization problem. A mathematical model of this problem assumes the form of mixed discrete-continuous programming. A concept of the algorithm is described in the paper and the proposed, new adaptation mechanism that is implemented in the algorithm is described in detail. The results of computation experiments as well as their analysis are also given.

#### References

- Dyduch T., 2004. Adaptive Evolutionary Computation of the Parametric Optimization Problem. Lecture Notes In Artificial Intelligence (3070), Springer-Verlag, Berlin , pp. 406-413
- Dyduch T,.Dudek-Dyduch E., 2005. Two Level Adaptive Evolutionary Computation Proc. of 23rd IASTED Int. Conf. Artificial Intelligence and Applications, Insbruck, Austria pp. 42-47
- Eiben A.E., Hinterding R., Michalewicz Z., 1999. Parameter Control in Evolutionary Algorithms, IEEE Trans. On Evolutionary Computation, vol.3, No 2, pp. 124-141
- Findeisen W., 1974. Multi-level control systems. (in Polish) PWN Warszawa
- Michalewicz Z., 1996. Genetic Algorithms + Data Structures = Evolution Programs. Springer-Verlag.

#### Paper Citation

#### in Harvard Style

Dyduch T. (2006). **HYBRID EVOLUTIONARY COMPUTATIONS - Application for Industry Investment Problem** . In *Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-972-8865-59-7, pages 195-198. DOI: 10.5220/0001205201950198

#### in Bibtex Style

@conference{icinco06,

author={Tadeusz Dyduch},

title={HYBRID EVOLUTIONARY COMPUTATIONS - Application for Industry Investment Problem},

booktitle={Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2006},

pages={195-198},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001205201950198},

isbn={978-972-8865-59-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Third International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - HYBRID EVOLUTIONARY COMPUTATIONS - Application for Industry Investment Problem

SN - 978-972-8865-59-7

AU - Dyduch T.

PY - 2006

SP - 195

EP - 198

DO - 10.5220/0001205201950198