Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm

This paper proposes a novel optimization method for solving real-world optimization problems. It is inspired by a cooperative human phenomenon named the mountaineering team-based optimization (MTBO) algorithm. Proposed for the first time, the MTBO algorithm is mathematically modeled to achieve a rob...

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Main Authors: Iman Faridmehr, Moncef L. Nehdi, Iraj Faraji Davoudkhani, Alireza Poolad
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/5/1273
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author Iman Faridmehr
Moncef L. Nehdi
Iraj Faraji Davoudkhani
Alireza Poolad
author_facet Iman Faridmehr
Moncef L. Nehdi
Iraj Faraji Davoudkhani
Alireza Poolad
author_sort Iman Faridmehr
collection DOAJ
description This paper proposes a novel optimization method for solving real-world optimization problems. It is inspired by a cooperative human phenomenon named the mountaineering team-based optimization (MTBO) algorithm. Proposed for the first time, the MTBO algorithm is mathematically modeled to achieve a robust optimization algorithm based on the social behavior and human cooperation needed in considering the natural phenomena to reach a mountaintop, which represents the optimal global solution. To solve optimization problems, the proposed MTBO algorithm captures the phases of the regular and guided movement of climbers based on the leader’s experience, obstacles against reaching the peak and getting stuck in local optimality, and the coordination and social cooperation of the group to save members from natural hazards. The performance of the MTBO algorithm was tested with 30 known CEC 2014 test functions, as well as on classical engineering design problems, and the results were compared with that of well-known methods. It is shown that the MTBO algorithm is very competitive in comparison with state-of-art metaheuristic methods. The superiority of the proposed MTBO algorithm is further confirmed by statistical validation, as well as the Wilcoxon signed-rank test with advanced optimization algorithms. Compared to the other algorithms, the MTBO algorithm is more robust, easier to implement, exhibits effective optimization performance for a wide range of real-world test functions, and attains faster convergence to optimal global solutions.
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spelling doaj.art-5e43faff36a14fceb21ff7ea8aa2d8502023-11-17T08:10:35ZengMDPI AGMathematics2227-73902023-03-01115127310.3390/math11051273Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic AlgorithmIman Faridmehr0Moncef L. Nehdi1Iraj Faraji Davoudkhani2Alireza Poolad3Department of Construction Production and Theory of Structures, Institute of Architecture and Construction, South Ural State University, 454080 Chelyabinsk, RussiaDepartment of Civil Engineering, McMaster University, Hamilton, ON L8S 4M6, CanadaEnergy Management Research Center, University of Mohaghegh Ardabili, Ardabil 5619911367, IranDepartment of Electrical Engineering, Islamic Azad University, Bushehr Branch, Bushehr 7519619555, IranThis paper proposes a novel optimization method for solving real-world optimization problems. It is inspired by a cooperative human phenomenon named the mountaineering team-based optimization (MTBO) algorithm. Proposed for the first time, the MTBO algorithm is mathematically modeled to achieve a robust optimization algorithm based on the social behavior and human cooperation needed in considering the natural phenomena to reach a mountaintop, which represents the optimal global solution. To solve optimization problems, the proposed MTBO algorithm captures the phases of the regular and guided movement of climbers based on the leader’s experience, obstacles against reaching the peak and getting stuck in local optimality, and the coordination and social cooperation of the group to save members from natural hazards. The performance of the MTBO algorithm was tested with 30 known CEC 2014 test functions, as well as on classical engineering design problems, and the results were compared with that of well-known methods. It is shown that the MTBO algorithm is very competitive in comparison with state-of-art metaheuristic methods. The superiority of the proposed MTBO algorithm is further confirmed by statistical validation, as well as the Wilcoxon signed-rank test with advanced optimization algorithms. Compared to the other algorithms, the MTBO algorithm is more robust, easier to implement, exhibits effective optimization performance for a wide range of real-world test functions, and attains faster convergence to optimal global solutions.https://www.mdpi.com/2227-7390/11/5/1273optimizationmountaineering team-based optimizationhuman cooperationbenchmark functionheuristic algorithm
spellingShingle Iman Faridmehr
Moncef L. Nehdi
Iraj Faraji Davoudkhani
Alireza Poolad
Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm
Mathematics
optimization
mountaineering team-based optimization
human cooperation
benchmark function
heuristic algorithm
title Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm
title_full Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm
title_fullStr Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm
title_full_unstemmed Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm
title_short Mountaineering Team-Based Optimization: A Novel Human-Based Metaheuristic Algorithm
title_sort mountaineering team based optimization a novel human based metaheuristic algorithm
topic optimization
mountaineering team-based optimization
human cooperation
benchmark function
heuristic algorithm
url https://www.mdpi.com/2227-7390/11/5/1273
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AT monceflnehdi mountaineeringteambasedoptimizationanovelhumanbasedmetaheuristicalgorithm
AT irajfarajidavoudkhani mountaineeringteambasedoptimizationanovelhumanbasedmetaheuristicalgorithm
AT alirezapoolad mountaineeringteambasedoptimizationanovelhumanbasedmetaheuristicalgorithm