An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems

Abstract This paper introduces an enhanced exponential distribution optimizer (EDO), termed the exponential distribution optimizer with Levy flight orthogonal learning (EDO-LFOL). EDO-LFOL enhances EDO by integrating the Levy flight (LF) strategy during the intensification phase and utilizing the or...

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Main Authors: Marwa M. Emam, Mohammed R. Saad, Mina Younan, Essam H. Houssein
Format: Article
Language:English
Published: SpringerOpen 2025-04-01
Series:Journal of Big Data
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Online Access:https://doi.org/10.1186/s40537-025-01129-2
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author Marwa M. Emam
Mohammed R. Saad
Mina Younan
Essam H. Houssein
author_facet Marwa M. Emam
Mohammed R. Saad
Mina Younan
Essam H. Houssein
author_sort Marwa M. Emam
collection DOAJ
description Abstract This paper introduces an enhanced exponential distribution optimizer (EDO), termed the exponential distribution optimizer with Levy flight orthogonal learning (EDO-LFOL). EDO-LFOL enhances EDO by integrating the Levy flight (LF) strategy during the intensification phase and utilizing the orthogonal learning (OL) approach after the end of the optimization cycle. This adjustment aims to mitigate the risk of local optima entrapment and improve the quality of the solutions obtained. This paper presents EDO-LFOL as a viable global and practical optimization problem solution. To evaluate the effectiveness of EDO-LFOL, we compare it against seven robust optimizers across 12 unconstrained test functions associated with the IEEE Congress on Evolutionary Computation 2022 (CEC 2022). The optimizers include the improved multi-operator differential evolution algorithm (IMODE), adaptive guided differential evolution algorithm (AGDE), whale optimization algorithm (WOA), grey wolf optimizer (GWO), sinh cosh optimizer (SCHO), RIME optimization algorithm (RIME), and the original EDO. Additionally, EDO-LFOL is tested on three combinatorial optimization challenges: the job shop scheduling problem (JSSP), quadratic assignment problem (QAP), and bin packing problem (BPP), to evaluate its applicability. Furthermore, EDO-LFOL addresses four distinct design engineering challenges: the pressure vessel design, three-bar truss, welded beam, and speed reducer. The results, supported by significance tests, demonstrate that EDO-LFOL significantly outperforms the standard EDO and its competitors.
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spelling doaj-art-1d2ffff582b140258e8a9ffbbce6c7332025-08-20T02:17:54ZengSpringerOpenJournal of Big Data2196-11152025-04-0112115510.1186/s40537-025-01129-2An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problemsMarwa M. Emam0Mohammed R. Saad1Mina Younan2Essam H. Houssein3Faculty of Computers and Information, Minia UniversityFaculty of Computers and Information, Luxor UniversityFaculty of Computers and Information, Minia UniversityFaculty of Computers and Information, Minia UniversityAbstract This paper introduces an enhanced exponential distribution optimizer (EDO), termed the exponential distribution optimizer with Levy flight orthogonal learning (EDO-LFOL). EDO-LFOL enhances EDO by integrating the Levy flight (LF) strategy during the intensification phase and utilizing the orthogonal learning (OL) approach after the end of the optimization cycle. This adjustment aims to mitigate the risk of local optima entrapment and improve the quality of the solutions obtained. This paper presents EDO-LFOL as a viable global and practical optimization problem solution. To evaluate the effectiveness of EDO-LFOL, we compare it against seven robust optimizers across 12 unconstrained test functions associated with the IEEE Congress on Evolutionary Computation 2022 (CEC 2022). The optimizers include the improved multi-operator differential evolution algorithm (IMODE), adaptive guided differential evolution algorithm (AGDE), whale optimization algorithm (WOA), grey wolf optimizer (GWO), sinh cosh optimizer (SCHO), RIME optimization algorithm (RIME), and the original EDO. Additionally, EDO-LFOL is tested on three combinatorial optimization challenges: the job shop scheduling problem (JSSP), quadratic assignment problem (QAP), and bin packing problem (BPP), to evaluate its applicability. Furthermore, EDO-LFOL addresses four distinct design engineering challenges: the pressure vessel design, three-bar truss, welded beam, and speed reducer. The results, supported by significance tests, demonstrate that EDO-LFOL significantly outperforms the standard EDO and its competitors.https://doi.org/10.1186/s40537-025-01129-2Metaheuristic algorithmsExponential distribution optimizerLevy flightOrthogonal learningCombinatorial problemsEngineering design problems
spellingShingle Marwa M. Emam
Mohammed R. Saad
Mina Younan
Essam H. Houssein
An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems
Journal of Big Data
Metaheuristic algorithms
Exponential distribution optimizer
Levy flight
Orthogonal learning
Combinatorial problems
Engineering design problems
title An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems
title_full An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems
title_fullStr An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems
title_full_unstemmed An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems
title_short An efficient enhanced exponential distribution optimizer: applications in global, engineering, and combinatorial optimization problems
title_sort efficient enhanced exponential distribution optimizer applications in global engineering and combinatorial optimization problems
topic Metaheuristic algorithms
Exponential distribution optimizer
Levy flight
Orthogonal learning
Combinatorial problems
Engineering design problems
url https://doi.org/10.1186/s40537-025-01129-2
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