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An arithmetic and geometric mean-based multi-objective moth-flame optimization algorithm

delete2024-03-04
delete9
PRE
AI
S
Saroj Kumar Sahoo
A
Apu Kumar Saha *
E
Essam H. Houssein
M
M. Premkumar
S
Salpa Reang
M
Marwa M. Emam *
DOI:10.1007/s10586-024-04301-0delete
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Abstract

Abstract

En 中文
Expanding the capacity of optimization algorithms for simultaneous optimization of multiple competing objectives is a crucial aspect of research. This study presents MnMOMFO, a novel non-dominated sorting (NDS) and crowding distance (CD)-based multi-objective variant of the moth-flame optimization (MFO) algorithm for multi-objective optimization problems. The algorithm incorporates arithmetic and geometric mean concepts to address MFO's limitations and to improve its performance. Subsequently, we extend this enhanced MFO into a multi-objective variant, leveraging NDS and CD strategies to achieve a well-distributed Pareto optimal front. The effectiveness of the proposed MnMOMFO algorithm is rigorously evaluated across three distinct phases. In the initial phase, we scrutinize its performance on four ZDT multi-objective optimization problems, employing four performance metrics-general distance, inverted general distance, spacing, and spread metric. Comparative analyses with select competitive multi-objective optimization algorithms comprehensively understand MnMOMFO's efficacy. Secondly, 24 complex multi-objective IEEE CEC 2020 test suits are considered on two performance metrics. Namely, Pareto sets proximity and the inverted generational distance in decision space. In the third phase, five real-world engineering problems are considered to measure the problem-solving ability of the MnMOMFO algorithm. The results from the experiments indicated that the MnMOMFO was the best candidate algorithm, achieving more than 95% superior results for multi-objective ZDT benchmark problems, IEEE CEC 2020 test functions, and real-life issues in contrast to several other algorithms. The experimental outcomes substantiate MnMOMFO's superiority, establishing it as a robust and efficient algorithm for multi-objective optimization challenges with broad applicability to real-world engineering problems.
Keywords:
Moth-flame optimization algorithm
Multi-objective algorithm
Non-dominated sorting
Crowding distance
IEEE CEC 2020 test functions

Journal

C
Cluster Computing-The Journal of Networks Software Tools and Applications
IF:
4.1
Papers:
5.0K
Citations:
7.5K

Organization

E
egyptian knowledge bank (ekb)
Scholars:
11.6W
Papers: 9.3W
Citations: 84
N
national institute of technology (nit system)
Scholars:
4.0W
Papers: 3.7W
Citations: 31