# INSENSITIVE DIFFERENTIAL EVOLUTION AND MULTI-SOLUTION PROBLEMS

### Itsuki Handa, Toshimichi Saito

#### Abstract

This paper presents an insensitive differential evolution for multi-solution problems. The algorithm consists of global and local searches. In the global search, the algorithm tries to construct local sub-regions (LSRs) each of which includes either solution. In the local search, the algorithm operates on all the LSRs in parallel and tries to find all the approximate solutions. The algorithm has a key parameter that controls the algorithm insensitivity. If the insensitivity is suitable, the algorithm can construct all the LSRs before trapping into either solution and can find all the solutions. Performing basic numerical experiments where parameters are adjusted by trial-and-errors, basic performance of the algorithm is investigated.

#### References

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#### Paper Citation

#### in Harvard Style

Handa I. and Saito T. (2011). **INSENSITIVE DIFFERENTIAL EVOLUTION AND MULTI-SOLUTION PROBLEMS** . In *Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: ECTA, (IJCCI 2011)* ISBN 978-989-8425-83-6, pages 292-295. DOI: 10.5220/0003653002920295

#### in Bibtex Style

@conference{ecta11,

author={Itsuki Handa and Toshimichi Saito},

title={INSENSITIVE DIFFERENTIAL EVOLUTION AND MULTI-SOLUTION PROBLEMS},

booktitle={Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: ECTA, (IJCCI 2011)},

year={2011},

pages={292-295},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0003653002920295},

isbn={978-989-8425-83-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Evolutionary Computation Theory and Applications - Volume 1: ECTA, (IJCCI 2011)

TI - INSENSITIVE DIFFERENTIAL EVOLUTION AND MULTI-SOLUTION PROBLEMS

SN - 978-989-8425-83-6

AU - Handa I.

AU - Saito T.

PY - 2011

SP - 292

EP - 295

DO - 10.5220/0003653002920295