Multiobjective Lightning Flash Algorithm Design and Its Convergence Analysis via Martingale Theory
Joint Authors
Xiao, Gaoxi
Duan, Jiandong
Liu, Xinghua
Wang, Jing
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-09
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, a novel multiobjective lightning flash algorithm (MOLFA) is proposed to solve the multiobjective optimization problem.
The charge population state of the lightning flash algorithm is defined, and we prove that the charge population state sequence is a Markov chain.
Since the convergence analysis of MOLFA is to investigate whether a Pareto optimal solution can be reached when the optimal charge population state is obtained, the development of a charge population state is analyzed to achieve the goal of this paper.
Based on the martingale theory, the MOLFA convergence analysis is carried out in terms of the supermartingale convergence theorem, which shows that the MOLFA can reach the global optimum with probability one.
Finally, the effectiveness of the proposed MOLFA is verified by a numerical simulation example.
American Psychological Association (APA)
Duan, Jiandong& Wang, Jing& Liu, Xinghua& Xiao, Gaoxi. 2020. Multiobjective Lightning Flash Algorithm Design and Its Convergence Analysis via Martingale Theory. Complexity،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1144339
Modern Language Association (MLA)
Duan, Jiandong…[et al.]. Multiobjective Lightning Flash Algorithm Design and Its Convergence Analysis via Martingale Theory. Complexity No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1144339
American Medical Association (AMA)
Duan, Jiandong& Wang, Jing& Liu, Xinghua& Xiao, Gaoxi. Multiobjective Lightning Flash Algorithm Design and Its Convergence Analysis via Martingale Theory. Complexity. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1144339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144339