Packing equal disks in a unit square: an immunological optimization approach
Packing equal disks in a unit square is a classical geometrical problem which arises in many industrial and scientific fields. Finding optimal solutions has been proved to be NP-hard, therefore, only local optimal solutions can be identified. We tackle this problem by means of the optimization Immun...
Saved in:
Published in | 2015 International Workshop on Artificial Immune Systems (AIS) pp. 1 - 5 |
---|---|
Main Authors | , , , , , |
Format | Conference Proceeding |
Language | English |
Published |
IEEE
01.07.2015
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | Packing equal disks in a unit square is a classical geometrical problem which arises in many industrial and scientific fields. Finding optimal solutions has been proved to be NP-hard, therefore, only local optimal solutions can be identified. We tackle this problem by means of the optimization Immune Algorithm (optIA), which has been proved to be among the best derivative-free optimization algorithms. In particular, OPTIA is used to pack up to 150 disks in a unit square. Experimental results show that the immune algorithm is able to locate the putative global optimum for all the instances. Moreover, a comparison with the Covariance Matrix Adaptation Evolution Strategy (CMA-ES) shows that OPTIA is more robust. |
---|---|
DOI: | 10.1109/AISW.2015.7469239 |