WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems

Supply Chain (SC) Optimization is a key activity in today’s industry with the goal of increasing operational efficiency, reducing costs, and improving customer satisfaction. Traditional optimization methods often struggle to effectively use resources while handling complex and dynamic Supply chain n...

Full description

Bibliographic Details
Main Authors: Zoubida Benmamoun, Khaoula Khlie, Mohammad Dehghani, Youness Gherabi
Format: Article
Language:English
Published: MDPI AG 2024-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/7/1059
_version_ 1797212249940557824
author Zoubida Benmamoun
Khaoula Khlie
Mohammad Dehghani
Youness Gherabi
author_facet Zoubida Benmamoun
Khaoula Khlie
Mohammad Dehghani
Youness Gherabi
author_sort Zoubida Benmamoun
collection DOAJ
description Supply Chain (SC) Optimization is a key activity in today’s industry with the goal of increasing operational efficiency, reducing costs, and improving customer satisfaction. Traditional optimization methods often struggle to effectively use resources while handling complex and dynamic Supply chain networks. This paper introduces a novel biomimetic metaheuristic algorithm called the Wombat Optimization Algorithm (WOA) for supply chain optimization. This algorithm replicates the natural behaviors observed in wombats living in the wild, particularly focusing on their foraging tactics and evasive maneuvers towards predators. The theory of WOA is described and then mathematically modeled in two phases: (i) exploration based on the simulation of wombat movements during foraging and trying to find food and (ii) exploitation based on simulating wombat movements when diving towards nearby tunnels to defend against its predators. The effectiveness of WOA in addressing optimization challenges is assessed by handling the CEC 2017 test suite across various problem dimensions, including 10, 30, 50, and 100. The findings of the optimization indicate that WOA demonstrates a strong ability to effectively manage exploration and exploitation, and maintains a balance between them throughout the search phase to deliver optimal solutions for optimization problems. A total of twelve well-known metaheuristic algorithms are called upon to test their performance against WOA in the optimization process. The outcomes of the simulations reveal that WOA outperforms the other algorithms, achieving superior results across most benchmark functions and securing the top ranking as the most efficient optimizer. Using a Wilcoxon rank sum test statistical analysis, it has been proven that WOA outperforms other algorithms significantly. WOA is put to the test with twenty-two constrained optimization problems from the CEC 2011 test suite and four engineering design problems to showcase its ability to solve real-world optimization problems. The results of the simulations demonstrate that WOA excels in real-world applications by delivering superior solutions and outperforming its competitors.
first_indexed 2024-04-24T10:39:23Z
format Article
id doaj.art-b2ae44ae6bec4c28ac7632f3ff22bece
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-04-24T10:39:23Z
publishDate 2024-04-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-b2ae44ae6bec4c28ac7632f3ff22bece2024-04-12T13:22:45ZengMDPI AGMathematics2227-73902024-04-01127105910.3390/math12071059WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization ProblemsZoubida Benmamoun0Khaoula Khlie1Mohammad Dehghani2Youness Gherabi3Faculty of Engineering, Liwa College, Abu Dhabi 41009, United Arab EmiratesFaculty of Business, Liwa College, Abu Dhabi 41009, United Arab EmiratesDepartment of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University, Shiraz 71557-13876, IranResearch Laboratory in Economics, Management, and Business Management (LAREGMA), Faculty of Economics and Management, Hassan I University, Settat 26002, MoroccoSupply Chain (SC) Optimization is a key activity in today’s industry with the goal of increasing operational efficiency, reducing costs, and improving customer satisfaction. Traditional optimization methods often struggle to effectively use resources while handling complex and dynamic Supply chain networks. This paper introduces a novel biomimetic metaheuristic algorithm called the Wombat Optimization Algorithm (WOA) for supply chain optimization. This algorithm replicates the natural behaviors observed in wombats living in the wild, particularly focusing on their foraging tactics and evasive maneuvers towards predators. The theory of WOA is described and then mathematically modeled in two phases: (i) exploration based on the simulation of wombat movements during foraging and trying to find food and (ii) exploitation based on simulating wombat movements when diving towards nearby tunnels to defend against its predators. The effectiveness of WOA in addressing optimization challenges is assessed by handling the CEC 2017 test suite across various problem dimensions, including 10, 30, 50, and 100. The findings of the optimization indicate that WOA demonstrates a strong ability to effectively manage exploration and exploitation, and maintains a balance between them throughout the search phase to deliver optimal solutions for optimization problems. A total of twelve well-known metaheuristic algorithms are called upon to test their performance against WOA in the optimization process. The outcomes of the simulations reveal that WOA outperforms the other algorithms, achieving superior results across most benchmark functions and securing the top ranking as the most efficient optimizer. Using a Wilcoxon rank sum test statistical analysis, it has been proven that WOA outperforms other algorithms significantly. WOA is put to the test with twenty-two constrained optimization problems from the CEC 2011 test suite and four engineering design problems to showcase its ability to solve real-world optimization problems. The results of the simulations demonstrate that WOA excels in real-world applications by delivering superior solutions and outperforming its competitors.https://www.mdpi.com/2227-7390/12/7/1059optimizationbio-inspiredmetaheuristicwombatexplorationexploitation
spellingShingle Zoubida Benmamoun
Khaoula Khlie
Mohammad Dehghani
Youness Gherabi
WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems
Mathematics
optimization
bio-inspired
metaheuristic
wombat
exploration
exploitation
title WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems
title_full WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems
title_fullStr WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems
title_full_unstemmed WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems
title_short WOA: Wombat Optimization Algorithm for Solving Supply Chain Optimization Problems
title_sort woa wombat optimization algorithm for solving supply chain optimization problems
topic optimization
bio-inspired
metaheuristic
wombat
exploration
exploitation
url https://www.mdpi.com/2227-7390/12/7/1059
work_keys_str_mv AT zoubidabenmamoun woawombatoptimizationalgorithmforsolvingsupplychainoptimizationproblems
AT khaoulakhlie woawombatoptimizationalgorithmforsolvingsupplychainoptimizationproblems
AT mohammaddehghani woawombatoptimizationalgorithmforsolvingsupplychainoptimizationproblems
AT younessgherabi woawombatoptimizationalgorithmforsolvingsupplychainoptimizationproblems