TY - JOUR
T1 - Modified flower pollination algorithm for global optimization
AU - Abdel-Basset, Mohamed
AU - Mohamed, Reda
AU - Saber, Safaa
AU - Askar, S. S.
AU - Abouhawwash, Mohamed
N1 - Funding Information:
This project is funded by King Saud University, Riyadh, Saudi Arabia. Acknowledgments: Research Supporting Project number (RSP-2021/167), King Saud University, Riyadh, Saudi Arabia.
Funding Information:
Funding: This project is funded by King Saud University, Riyadh, Saudi Arabia.
Publisher Copyright:
© 2021 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2021/7/2
Y1 - 2021/7/2
N2 - In this paper, a modified flower pollination algorithm (MFPA) is proposed to improve the performance of the classical algorithm and to tackle the nonlinear equation systems widely used in engineering and science fields. In addition, the differential evolution (DE) is integrated with MFPA to strengthen its exploration operator in a new variant called HFPA. Those two algorithms were assessed using 23 well-known mathematical unimodal and multimodal test functions and 27 well-known nonlinear equation systems, and the obtained outcomes were extensively compared with those of eight well-known metaheuristic algorithms under various statistical analyses and the convergence curve. The experimental findings show that both MFPA and HFPA are competitive together and, compared to the others, they could be superior and competitive for most test cases.
AB - In this paper, a modified flower pollination algorithm (MFPA) is proposed to improve the performance of the classical algorithm and to tackle the nonlinear equation systems widely used in engineering and science fields. In addition, the differential evolution (DE) is integrated with MFPA to strengthen its exploration operator in a new variant called HFPA. Those two algorithms were assessed using 23 well-known mathematical unimodal and multimodal test functions and 27 well-known nonlinear equation systems, and the obtained outcomes were extensively compared with those of eight well-known metaheuristic algorithms under various statistical analyses and the convergence curve. The experimental findings show that both MFPA and HFPA are competitive together and, compared to the others, they could be superior and competitive for most test cases.
KW - Differential evolution
KW - Flower pollination algorithm
KW - Global optimization
KW - Systems of nonlinear equations
UR - http://www.scopus.com/inward/record.url?scp=85111338219&partnerID=8YFLogxK
U2 - 10.3390/math9141661
DO - 10.3390/math9141661
M3 - Article
AN - SCOPUS:85111338219
SN - 2227-7390
VL - 9
SP - 1
EP - 37
JO - Mathematics
JF - Mathematics
IS - 14
M1 - 1661
ER -