An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems

This article suggests a novel enhanced slime mould optimizer (ESMO) that incorporates a chaotic strategy and an elitist group for handling various mathematical optimization benchmark functions and engineering problems. In the newly suggested solver, a chaotic strategy was integrated into the movemen...

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Main Authors: Shahenda Sarhan, Abdullah Mohamed Shaheen, Ragab A. El-Sehiemy, Mona Gafar
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/12/1991
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author Shahenda Sarhan
Abdullah Mohamed Shaheen
Ragab A. El-Sehiemy
Mona Gafar
author_facet Shahenda Sarhan
Abdullah Mohamed Shaheen
Ragab A. El-Sehiemy
Mona Gafar
author_sort Shahenda Sarhan
collection DOAJ
description This article suggests a novel enhanced slime mould optimizer (ESMO) that incorporates a chaotic strategy and an elitist group for handling various mathematical optimization benchmark functions and engineering problems. In the newly suggested solver, a chaotic strategy was integrated into the movement updating rule of the basic SMO, whereas the exploitation mechanism was enhanced via searching around an elitist group instead of only the global best dependence. To handle the mathematical optimization problems, 13 benchmark functions were utilized. To handle the engineering optimization problems, the optimal power flow (OPF) was handled first, where three studied cases were considered. The suggested scheme was scrutinized on a typical IEEE test grid, and the simulation results were compared with the results given in the former publications and found to be competitive in terms of the quality of the solution. The suggested ESMO outperformed the basic SMO in terms of the convergence rate, standard deviation, and solution merit. Furthermore, a test was executed to authenticate the statistical efficacy of the suggested ESMO-inspired scheme. The suggested ESMO provided a robust and straightforward solution for the OPF problem under diverse goal functions. Furthermore, the combined heat and electrical power dispatch problem was handled by considering a large-scale test case of 84 diverse units. Similar findings were drawn, where the suggested ESMO showed high superiority compared with the basic SMO and other recent techniques in minimizing the total production costs of heat and electrical energies.
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spelling doaj.art-7def1d9a85e24c778f3b15bde0fe9f9e2023-11-23T17:47:56ZengMDPI AGMathematics2227-73902022-06-011012199110.3390/math10121991An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering ProblemsShahenda Sarhan0Abdullah Mohamed Shaheen1Ragab A. El-Sehiemy2Mona Gafar3Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Electrical Engineering, Faculty of Engineering, Suez University, Suez 43533, EgyptDepartment of Electrical Engineering, Faculty of Engineering, Kafrelsheikh University, Kafrelsheikh 33516, EgyptDepartment of Computer Science, College of Science and Humanities in Al-Sulail, Prince Sattam Bin Abdulaziz University, Kharj 16278, Saudi ArabiaThis article suggests a novel enhanced slime mould optimizer (ESMO) that incorporates a chaotic strategy and an elitist group for handling various mathematical optimization benchmark functions and engineering problems. In the newly suggested solver, a chaotic strategy was integrated into the movement updating rule of the basic SMO, whereas the exploitation mechanism was enhanced via searching around an elitist group instead of only the global best dependence. To handle the mathematical optimization problems, 13 benchmark functions were utilized. To handle the engineering optimization problems, the optimal power flow (OPF) was handled first, where three studied cases were considered. The suggested scheme was scrutinized on a typical IEEE test grid, and the simulation results were compared with the results given in the former publications and found to be competitive in terms of the quality of the solution. The suggested ESMO outperformed the basic SMO in terms of the convergence rate, standard deviation, and solution merit. Furthermore, a test was executed to authenticate the statistical efficacy of the suggested ESMO-inspired scheme. The suggested ESMO provided a robust and straightforward solution for the OPF problem under diverse goal functions. Furthermore, the combined heat and electrical power dispatch problem was handled by considering a large-scale test case of 84 diverse units. Similar findings were drawn, where the suggested ESMO showed high superiority compared with the basic SMO and other recent techniques in minimizing the total production costs of heat and electrical energies.https://www.mdpi.com/2227-7390/10/12/1991slime mould optimizerchaotic behaviorelitist groupoptimal power flowfuel costsheat and electrical power dispatch problem
spellingShingle Shahenda Sarhan
Abdullah Mohamed Shaheen
Ragab A. El-Sehiemy
Mona Gafar
An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems
Mathematics
slime mould optimizer
chaotic behavior
elitist group
optimal power flow
fuel costs
heat and electrical power dispatch problem
title An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems
title_full An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems
title_fullStr An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems
title_full_unstemmed An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems
title_short An Enhanced Slime Mould Optimizer That Uses Chaotic Behavior and an Elitist Group for Solving Engineering Problems
title_sort enhanced slime mould optimizer that uses chaotic behavior and an elitist group for solving engineering problems
topic slime mould optimizer
chaotic behavior
elitist group
optimal power flow
fuel costs
heat and electrical power dispatch problem
url https://www.mdpi.com/2227-7390/10/12/1991
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