LAPSE:2022.0044
Published Article
LAPSE:2022.0044
Chaotic Search Based Equilibrium Optimizer for Dealing with Nonlinear Programming and Petrochemical Application
Abd Allah A. Mousa, Mohammed A. El-Shorbagy, Ibrahim Mustafa, Hammad Alotaibi
October 12, 2022
In this article, chaotic search based constrained equilibrium optimizer algorithm (CS-CEOA) is suggested by integrating a novel heuristic approach called equilibrium optimizer with a chaos theory-based local search algorithm for solving general non-linear programming. CS-CEOA is consists of two phases, the first one (phase I) aims to detect an approximate solution, avoiding being stuck in local minima. In phase II, the chaos-based search algorithm improves local search performance to obtain the best optimal solution. For every infeasible solution, repair function is implemented in a way such that, a new feasible solution is created on the line segment defined by a feasible reference point and the infeasible solution itself. Due to the fast globally converging of evolutionary algorithms and the chaotic search’s exhaustive search, CS-CEOA could locate the true optimal solution by applying an exhaustive local search for a limited area defined from Phase I. The efficiency of CS-CEOA is studied over multi-suites of benchmark problems including constrained, unconstrained, CEC’05 problems, and an application of blending four ingredients, three feed streams, one tank, and two products to create some certain products with specific chemical properties, also to satisfy the target costs. The results were compared with the standard evolutionary algorithms as PSO and GA, and many hybrid algorithms in the same simulation environment to approve its superiority of detecting the optimal solution over selected counterparts.
Keywords
chaotic mapping, constrained optimization, equilibrium optimizer, non-linear optimization, petrochemical engineering application
Suggested Citation
Mousa AAA, El-Shorbagy MA, Mustafa I, Alotaibi H. Chaotic Search Based Equilibrium Optimizer for Dealing with Nonlinear Programming and Petrochemical Application. (2022). LAPSE:2022.0044
Author Affiliations
Mousa AAA: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
El-Shorbagy MA: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia; Department of Basic Engineering Science, Faculty of Engineering, Menofia University, Shebin El-Kom 32511, Egypt [ORCID]
Mustafa I: Department of Biomedical Engineering, Faculty of Engineering at Helwan, Helwan University, Cairo, Helwan 11795, Egypt
Alotaibi H: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia
Journal Name
Processes
Volume
9
Issue
2
First Page
200
Year
2021
Publication Date
2021-01-21
Published Version
ISSN
2227-9717
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Original Submission
Other Meta
PII: pr9020200, Publication Type: Journal Article
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LAPSE:2022.0044
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doi:10.3390/pr9020200
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Oct 12, 2022
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CC BY 4.0
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Oct 12, 2022
 
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Thomas A. Adams II
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