Linear Constrained Optimization Method (LiCOM): A Novel Paradigm to Handle Engineering Optimization Problems

A newly defined “linear constrained optimization method” (LiCOM), as a novel meta-exploratory optimization technique, is presented here to carry out optimal design of engineering problems. Each problem encountered has a response space inside which the optimal solution is located. The method proposed...

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Bibliographic Details
Published in:Iranian journal of science and technology. Transactions of civil engineering 2024-02, Vol.48 (1), p.453-465
Main Authors: Ghasemi, Mohammad Reza, Haji Aghajanpour, Nader, Ghohani Arab, Hamed
Format: Article
Language:English
Subjects:
Algorithms
Civil Engineering
Constraints
Design optimization
Engineering
Heuristic methods
Optimization techniques
Problem solving
Research Paper
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Summary:A newly defined “linear constrained optimization method” (LiCOM), as a novel meta-exploratory optimization technique, is presented here to carry out optimal design of engineering problems. Each problem encountered has a response space inside which the optimal solution is located. The method proposed in this paper uses two important elements in the search space. For the first division, a geometry constraint is used. In fact, instead of defining search points within the allowable range of a variable, these points are defined within a specific range. In LiCOM, the feasible domain decreases in size during problem solving. The second division is mainly based on meta-exploratory characteristics built into the proposed algorithm, including a random-based distribution of the search points in the response space. In order to prevent locking in the local optimums, meta-heuristic algorithms randomly distribute a number of different search points in the response space. In this paper, solutions to some competitive benchmark problems have been attempted, suitable for testing the performance of the proposed LiCOM. The attained results were compared with some conventional methods reported in the literature, affirming a significant improvement on the results obtained by the LiCOM introduced.
ISSN:2228-6160
2364-1843
DOI:10.1007/s40996-023-01267-8