In this paper it is investigated the effect of tuning of control parameters of the Lozi Chaotic Map employed as a chaotic pseudo-random number generator for the particle swarm optimization algorithm. Three different benchmark functions are selected from the IEEE CEC 2013 competition benchmark set. The Lozi map is extensively tuned and the performance of PSO is evaluated.
REFERENCES
1.
Kennedy
, J.
, Eberhart
, R.
: Particle swarm optimization
. In: IEEE International Conference on Neural Networks
, 1995
, pp. 1942
–1948
.2.
Kennedy
, J.
, Eberhart
, R.C.
, Shi
, Y.
: Swarm Intelligence
. Morgan Kaufmann Publishers
, (2001
).3.
Nickabadi
, A.
, Ebadzadeh
, M.M.
, Safabakhsh
, R.
: A novel particle swarm optimization algorithm with adaptive inertia weight
. Applied Soft Computing
11
(4
), 3658
–3670
(2011
).4.
Yuhui
, S.
, Eberhart
, R.
: A modified particle swarm optimizer
. In: IEEE World Congress on Computational Intelligence
., 4–9 May 1998
, pp. 69
–73
.5.
R.
Caponetto
, L.
Fortuna
, S.
Fazzino
, M.G.
Xibilia
, Chaotic sequences to improve the performance of evolutionary algorithms, Evolutionary Computation
, IEEE Transactions on
, vol.7
, no.3
, pp. 289
–304
, June 2003
6.
Araujo
, E.
, Coelho
, L.
, Particle swarm approaches using Lozi map chaotic sequences to fuzzy modelling of an experimental thermal-vacuum system
, Applied Soft Computing
, v.8
n.4
, p.1354
–1364
, September, 2008
7.
Alatas
B.
, Akin
E.
, Ozer
B. A.
, Chaos embedded particle swarm optimization algorithms
, Chaos, Solitons & Fractals
, Volume 40
, Issue 4
, 30 May 2009
, Pages 1715
–1734
, ISSN 0960-0779
8.
Pluhacek
M.
, Senkerik
R
, Davendra
D.
, Kominkova Oplatkova
Z.
, and Zelinka
I.
, “On the behavior and performance of chaos driven PSO algorithm with inertia weight
,” Computers & Mathematics with Applications
, vol. 66
, pp. 122
–134
, 2013
.9.
Pluhacek
, M.
, Senkerik
, R.
, Zelinka
, I.
: Particle swarm optimization algorithm driven by multichaotic number generator
. Soft Comput
18
(4
), 631
–639
(2014
). doi: 10.
Pluhacek
M.
, Senkerik
R
,, Davendra
D.
, Zelinka
I.
, Designing PID Controller For DC Motor System By Means Of Enhanced PSO Algorithm With Discrete Chaotic Lozi Map
, In: Proceedings of the 26th European Conference on Modelling and Simulation, ECMS 2012
, pp. 405
–409
, 2012
, ISBN 978-0-9564944-4-3.11.
Sprott
, J. C.
, “Chaos and Time-Series Analysis”, Oxford University Press
, 2003
12.
Liang
J. J.
, Qu
B-Y.
, Suganthan
P. N.
, Hernández-Díaz Alfredo
G.
, “Problem Definitions and Evaluation Criteria for the CEC 2013 Special Session and Competition on Real-Parameter Optimization
”, Technical Report 201212
, Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou China and Technical Report, Nanyang Technological University
, Singapore
, January 2013
.
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