Abstract

This paper proposes a new Multi-Objective Plasma Generation Optimization (MOPGO) algorithm, and its non-dominated sorting mechanism is investigated for numerous challenging real-world structural optimization design problems. The Plasma Generation Optimization (PGO) algorithm is a recently reported physics-based algorithm inspired by the generation process of plasma in which electron movement and its energy level are based on excitation modes, de-excitation, and ionization processes. As the search progresses, a better balance between exploration and exploitation has a more significant impact on the results; thus, the crowding distance feature is incorporated in the proposed MOPGO algorithm. Also, the proposed posteriori method exercises a non-dominated sorting strategy to preserve population diversity, which is a crucial problem in multi-objective meta-heuristic algorithms. In truss design problems, minimization of the truss's mass and maximization of nodal displacement are considered objective functions. In contrast, elemental stress and discrete cross-sectional areas are assumed to be behavior and side constraints, respectively. The usefulness of MOPGO to solve complex problems is validated by eight truss-bar design problems. The efficacy of MOPGO is evaluated based on ten performance metrics. The results demonstrate that the proposed MOPGO algorithm achieves the optimal solution with less computational complexity and has a better convergence, coverage, diversity, and spread. The Pareto fronts of MOPGO are compared and contrasted with multi-objective passing vehicle search algorithm, multi-objective slime mould algorithm, multi-objective symbiotic organisms search algorithm, and multi-objective ant lion optimization algorithm. This study will be further supported with external guidance at https://premkumarmanoharan.wixsite.com/mysite.

Highlights

  • Design issues in physics and technology are mostly linked to more than one objective requiring a trade-off between these competing objectives to achieve optimal solutions [1]

  • Since the non-dominated sorting (NDS) and crowding distance (CD) mechanisms are adopted from NSGA-II, the computational space complexity of multi-objective Plasma Generation Optimization (MOPGO) similar to Multi-Objective Passing Vehicle Searches (MOPVS), Multi-Objective Slime Mould Algorithm (MOSMA), MultiObjective Ant Lion Optimization (MOALO), and Multi-Objective Symbiotic Organisms Search (MOSOS) optimizers are O(MNp)2, where Np is the number of search agents/population size, and M is the total number of objective functions

  • The MOPGO algorithm combines the three primary phases of Plasma Generation Optimization (PGO), namely excitation, de-excitation, and ionization, with plasma generation to support the search for the global best solution

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Summary

INTRODUCTION

Design issues in physics and technology are mostly linked to more than one objective requiring a trade-off between these competing objectives to achieve optimal solutions [1]. Compared with other MHs, very few possess all four properties above, leading to more accurate results and reliable processes These abilities and prospects supported creating a new optimizer known as the NDS-based multi-objective plasma generation optimizer (MOPGO), which has to be tested on various real-world structure optimization problems. The rest of the paper structured as follows: Section 2 provides details of the basic PGO optimizer; Section 3 provides the proposed NDS based MOPGO algorithm and how it works; Section 4 provides the details of the considered MO design optimization mathematical concept analysis by the performances and detailed description for all truss bar problems addressed in Section 5; Section 6 illustrates. Conclusions based on metrics, and Pareto fronts gained with prospects

SYNOPSIS OF PGO ALGORITHM
Constraint Handling Approach
EMPIRICAL EVALUATION
EVALUATION METHOD
RESULTS AND DISCUSSION
11. RESULTS
Findings
CONCLUSION
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