1
|
Yan F, Zhang J, Yang J. Crocodile optimization algorithm for solving real-world optimization problems. Sci Rep 2024; 14:32070. [PMID: 39738814 DOI: 10.1038/s41598-024-83788-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/13/2024] [Accepted: 12/17/2024] [Indexed: 01/02/2025] Open
Abstract
Nature-inspired bionic algorithms have become one of the most fascinating techniques in computational intelligence research, and have shown great potential in real-world challenging problems for their simplicity and flexibility. This paper proposes a novel nature-inspired algorithm, called the crocodile optimization algorithm (COA), which mimics the hunting strategies of crocodiles. In COA, the hunting behavior of crocodiles includes premeditation and waiting hunting. The premeditation behavior is an important hunting way for crocodiles to hide themselves from their prey and to explore more potential areas, and the waiting hunting behavior is another means by which crocodiles make surprise attacks on their prey that appears in their hunting range. The performance of the proposed COA is validated by comparing it with other competitor algorithms on 29 standard test functions and 5 real-world engineering optimization problems. The experimental results show that the comprehensive performance of COA outperforms both of its similar variants and most of other state-of-the-art algorithms, in terms of solution accuracy, robustness and convergence speed. Statistical tests also validate the potential applications of the proposed algorithm.
Collapse
Affiliation(s)
- Fu Yan
- Guizhou Big Data Academy, Guizhou University, Guiyang, 550025, China.
| | - Jin Zhang
- School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China
| | - Jianqiang Yang
- School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China
| |
Collapse
|
2
|
Sharma H, Arora K, Mahajan R, Ansarullah SI, Amin F, AlSalman H. Improved aquila optimizer for swarm-based solutions to complex engineering problems. Sci Rep 2024; 14:30714. [PMID: 39730432 DOI: 10.1038/s41598-024-79577-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/14/2024] [Accepted: 11/11/2024] [Indexed: 12/29/2024] Open
Abstract
The traditional optimization approaches suffer from certain problems like getting stuck in local optima, low speed, susceptibility to local optima, and searching unknown search spaces, thus requiring reliance on single-based solutions. Herein, an Improved Aquila Optimizer (IAO) is proposed, which is a unique meta-heuristic optimization method motivated by the hunting behavior of Aquila. An improved version of Aquila optimizer seeks to increase effectiveness and productivity. IAO emulates the hunting behaviors of Aquila, elucidating each step of the hunting process. The IAO algorithm contains innovative elements to boost its optimization capabilities. It combines a combination of low flight with a leisurely descent for exploitation, high-altitude vertical dives, contour flying with brief gliding attacks for exploration, and controlled swooping maneuvers for effective prey capture. To assess the effectiveness of IAO, Herein, numerous experiments were carried out. Firstly, IAO was compared using 23 classical optimization functions. The achieved results demonstrate that the proposed model outperforms various champion algorithms. Secondly, the proposed algorithm is applied to five real-world engineering problems. The achieved results prove effectiveness in diverse application domains. The key findings of the research work highlight IAO's resilience and adaptability in solving challenging optimization issues and its importance as a strong optimization tool for real-world engineering applications. Convergence curves compare the speed of proposed algorithms with selected algorithms for 1000 iterations. Time complexity analysis shows that the best time is 0.00015225 which is better as compared to other algorithms also Wilcoxon ranksum test is carried out to calculate the p-value is less than 0.05 rejecting the null hypothesis. The research emphasizes the potential of IAO as a tool for tackling real-world optimization challenges by explaining its efficacy and competitiveness compared to other optimization procedures via comprehensive testing and analysis.
Collapse
Affiliation(s)
- Himanshu Sharma
- School of Electronics and Electrical Engineering, Lovely Professional University, Jalandhar, India
| | - Krishan Arora
- School of Electronics and Electrical Engineering, Lovely Professional University, Jalandhar, India
| | - Raghav Mahajan
- School of Electronics and Electrical Engineering, Lovely Professional University, Jalandhar, India
| | - Syed Immamul Ansarullah
- Department of Management studies, North Campus Delina, The University of Kashmir, Delina, 193103, India
| | - Farhan Amin
- School of Computer Science and Engineering, Yeungnam University, 38541, Gyeongsan, Republic of Korea.
| | - Hussain AlSalman
- Department of Computer Science, College of Computer and Information Sciences, King Saud University, 11543, Riyadh, Saudi Arabia.
| |
Collapse
|
3
|
Pradhan V, Patra A, Jain A, Jain G, Kumar A, Dhar J, Bandyopadhyay A, Mallik S, Ahmad N, Badawy AS. PERMMA: Enhancing parameter estimation of software reliability growth models: A comparative analysis of metaheuristic optimization algorithms. PLoS One 2024; 19:e0304055. [PMID: 39231125 PMCID: PMC11373859 DOI: 10.1371/journal.pone.0304055] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2023] [Accepted: 05/07/2024] [Indexed: 09/06/2024] Open
Abstract
Software reliability growth models (SRGMs) are universally admitted and employed for reliability assessment. The process of software reliability analysis is separated into two components. The first component is model construction, and the second is parameter estimation. This study concentrates on the second segment parameter estimation. The past few decades of literature observance say that the parameter estimation was typically done by either maximum likelihood estimation (MLE) or least squares estimation (LSE). Increasing attention has been noted in stochastic optimization methods in the previous couple of decades. There are various limitations in the traditional optimization criteria; to overcome these obstacles metaheuristic optimization algorithms are used. Therefore, it requires a method of search space and local optima avoidance. To analyze the applicability of various developed meta-heuristic algorithms in SRGMs parameter estimation. The proposed approach compares the meta-heuristic methods for parameter estimation by various criteria. For parameter estimation, this study uses four meta-heuristics algorithms: Grey-Wolf Optimizer (GWO), Regenerative Genetic Algorithm (RGA), Sine-Cosine Algorithm (SCA), and Gravitational Search Algorithm (GSA). Four popular SRGMs did the comparative analysis of the parameter estimation power of these four algorithms on three actual-failure datasets. The estimated value of parameters through meta-heuristic algorithms are approximately near the LSE method values. The results show that RGA and GWO are better on a variety of real-world failure data, and they have excellent parameter estimation potential. Based on the convergence and R2 distribution criteria, this study suggests that RGA and GWO are more appropriate for the parameter estimation of SRGMs. RGA could locate the optimal solution more correctly and faster than GWO and other optimization techniques.
Collapse
Affiliation(s)
- Vishal Pradhan
- School of Applied Sciences, Kalinga Institute of Industrial Technology, Odisha, India
| | - Arijit Patra
- School of Applied Sciences, Kalinga Institute of Industrial Technology, Odisha, India
| | - Ankush Jain
- Department of Computer Science & Engineering, Netaji Subhas University of Technology, Dwarka, New Delhi, India
| | - Garima Jain
- Department of Computer Science and Business System, Noida Institute of Engineering and Technology, Greater Noida, India
| | - Ajay Kumar
- Department of Engineering Sciences, ABV-Indian Institute of Information Technology and Management Gwalior, Gwalior, MP, India
| | - Joydip Dhar
- Department of Engineering Sciences, ABV-Indian Institute of Information Technology and Management Gwalior, Gwalior, MP, India
| | - Anjan Bandyopadhyay
- School of Computer Science and Engineering, Kalinga Institute of Industrial Technology, Odisha, India
| | - Saurav Mallik
- Department of Environmental Health, Harvard T H Chan School of Public Health, Boston, MA, United States of America
- Department of Pharmacology & Toxicology, University of Arizona, Tucson, AZ, United States of America
| | - Naim Ahmad
- College of Computer Science, King Khalid University, Abha, Saudi Arabia
| | - Ahmed Said Badawy
- College of Computer Science, King Khalid University, Abha, Saudi Arabia
| |
Collapse
|
4
|
Benmamoun Z, Khlie K, Bektemyssova G, Dehghani M, Gherabi Y. Bobcat Optimization Algorithm: an effective bio-inspired metaheuristic algorithm for solving supply chain optimization problems. Sci Rep 2024; 14:20099. [PMID: 39209916 PMCID: PMC11362341 DOI: 10.1038/s41598-024-70497-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/10/2024] [Accepted: 08/16/2024] [Indexed: 09/04/2024] Open
Abstract
Supply chain efficiency is a major challenge in today's business environment, where efficient resource allocation and coordination of activities are essential for competitive advantage. Traditional efficiency strategies often struggle for resources for the complex and dynamic network. In response, bio-inspired metaheuristic algorithms have emerged as powerful tools to solve these optimization problems. Referring to the random search nature of metaheuristic algorithms and emphasizing that no metaheuristic algorithm is the best optimizer for all optimization applications, the No Free Lunch (NFL) theorem encourages researchers to design newer algorithms to be able to provide more effective solutions to optimization problems. Motivated by the NFL theorem, the innovation and novelty of this paper is in designing a new meta-heuristic algorithm called Bobcat Optimization Algorithm (BOA) that imitates the natural behavior of bobcats in the wild. The basic inspiration of BOA is derived from the hunting strategy of bobcats during the attack towards the prey and the chase process between them. The theory of BOA is stated and then mathematically modeled in two phases (i) exploration based on the simulation of the bobcat's position change while moving towards the prey and (ii) exploitation based on simulating the bobcat's position change during the chase process to catch the prey. The performance of BOA is evaluated in optimization to handle the CEC 2017 test suite for problem dimensions equal to 10, 30, 50, and 100, as well as to address CEC 2020. The optimization results show that BOA has a high ability in exploration, exploitation, and balance them during the search process in order to achieve a suitable solution for optimization problems. The results obtained from BOA are compared with the performance of twelve well-known metaheuristic algorithms. The findings show that BOA has been successful in handling the CEC 2017 test suite in 89.65, 79.31, 93.10, and 89.65% of the functions for the problem dimension equal to 10, 30, 50, and 100, respectively. Also, the findings show that in order to handle the CEC 2020 test suite, BOA has been successful in 100% of the functions of this test suite. The statistical analysis confirms that BOA has a significant statistical superiority in the competition with the compared algorithms. Also, in order to analyze the efficiency of BOA in dealing with real world applications, twenty-two constrained optimization problems from CEC 2011 test suite and four engineering design problems have been selected. The findings show that BOA has been successful in 90.90% of CEC2011 test suite optimization problems and in 100% of engineering design problems. In addition, the efficiency of BOA to handle SCM applications has been challenged to solve ten case studies in the field of sustainable lot size optimization. The findings show that BOA has successfully provided superior performance in 100% of the case studies compared to competitor algorithms.
Collapse
Affiliation(s)
| | | | - Gulnara Bektemyssova
- Department of Computer Engineering, International Information Technology University, 050000, Almaty, Kazakhstan
| | - Mohammad Dehghani
- Department of Power and Control Engineering, School of Electrical and Computer Engineering, Shiraz University, Shiraz, 71557-13876, Iran
| | - Youness Gherabi
- Research Laboratory in Economics, Management, and Business Management (LAREGMA), Faculty of Economics and Management, Hassan I University, 26002, Settat, Morocco
| |
Collapse
|
5
|
Selvarajan S. A comprehensive study on modern optimization techniques for engineering applications. Artif Intell Rev 2024; 57:194. [DOI: 10.1007/s10462-024-10829-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 06/11/2024] [Indexed: 01/06/2025]
Abstract
AbstractRapid industrialization has fueled the need for effective optimization solutions, which has led to the widespread use of meta-heuristic algorithms. Among the repertoire of over 600, over 300 new methodologies have been developed in the last ten years. This increase highlights the need for a sophisticated grasp of these novel methods. The use of biological and natural phenomena to inform meta-heuristic optimization strategies has seen a paradigm shift in recent years. The observed trend indicates an increasing acknowledgement of the effectiveness of bio-inspired methodologies in tackling intricate engineering problems, providing solutions that exhibit rapid convergence rates and unmatched fitness scores. This study thoroughly examines the latest advancements in bio-inspired optimisation techniques. This work investigates each method’s unique characteristics, optimization properties, and operational paradigms to determine how revolutionary these approaches could be for problem-solving paradigms. Additionally, extensive comparative analyses against conventional benchmarks, such as metrics such as search history, trajectory plots, and fitness functions, are conducted to elucidate the superiority of these new approaches. Our findings demonstrate the revolutionary potential of bio-inspired optimizers and provide new directions for future research to refine and expand upon these intriguing methodologies. Our survey could be a lighthouse, guiding scientists towards innovative solutions rooted in various natural mechanisms.
Collapse
|
6
|
Ni M, Zhang G, Yang Q, Yin L. Research on MEC computing offload strategy for joint optimization of delay and energy consumption. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2024; 21:6336-6358. [PMID: 39176428 DOI: 10.3934/mbe.2024276] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 08/24/2024]
Abstract
The decision-making process for computational offloading is a critical aspect of mobile edge computing, and various offloading decision strategies are strongly linked to the calculated latency and energy consumption of the mobile edge computing system. This paper proposes an offloading scheme based on an enhanced sine-cosine optimization algorithm (SCAGA) designed for the "edge-end" architecture scenario within edge computing. The research presented in this paper covers the following aspects: (1) Establishment of computational resource allocation models and computational cost models for edge computing scenarios; (2) Introduction of an enhanced sine and cosine optimization algorithm built upon the principles of Levy flight strategy sine and cosine optimization algorithms, incorporating concepts from roulette wheel selection and gene mutation commonly found in genetic algorithms; (3) Execution of simulation experiments to evaluate the SCAGA-based offloading scheme, demonstrating its ability to effectively reduce system latency and optimize offloading utility. Comparative experiments also highlight improvements in system latency, mobile user energy consumption, and offloading utility when compared to alternative offloading schemes.
Collapse
Affiliation(s)
- Mingchang Ni
- Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650504, China
| | - Guo Zhang
- Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650504, China
| | - Qi Yang
- Kunming Iron & Steel Holding Co., Ltd. Kunming 650302, China
| | - Liqiong Yin
- Kunming Iron & Steel Holding Co., Ltd. Kunming 650302, China
| |
Collapse
|
7
|
Jia W, Chen S, Yang L, Liu G, Li C, Cheng Z, Wang G, Yang X. Ankylosing spondylitis prediction using fuzzy K-nearest neighbor classifier assisted by modified JAYA optimizer. Comput Biol Med 2024; 175:108440. [PMID: 38701589 DOI: 10.1016/j.compbiomed.2024.108440] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2023] [Revised: 03/20/2024] [Accepted: 04/07/2024] [Indexed: 05/05/2024]
Abstract
The diagnosis of ankylosing spondylitis (AS) can be complex, necessitating a comprehensive assessment of medical history, clinical symptoms, and radiological evidence. This multidimensional approach can exacerbate the clinical burden and increase the likelihood of diagnostic inaccuracies, which may result in delayed or overlooked cases. Consequently, supplementary diagnostic techniques for AS have become a focal point in clinical research. This study introduces an enhanced optimization algorithm, SCJAYA, which incorporates salp swarm foraging behavior with cooperative predation strategies into the JAYA algorithm framework, noted for its robust optimization capabilities that emulate the evolutionary dynamics of biological organisms. The integration of salp swarm behavior is aimed at accelerating the convergence speed and enhancing the quality of solutions of the classical JAYA algorithm while the cooperative predation strategy is incorporated to mitigate the risk of convergence on local optima. SCJAYA has been evaluated across 30 benchmark functions from the CEC2014 suite against 9 conventional meta-heuristic algorithms as well as 9 state-of-the-art meta-heuristic counterparts. The comparative analyses indicate that SCJAYA surpasses these algorithms in terms of convergence speed and solution precision. Furthermore, we proposed the bSCJAYA-FKNN classifier: an advanced model applying the binary version of SCJAYA for feature selection, with the aim of improving the accuracy in diagnosing and prognosticating AS. The efficacy of the bSCJAYA-FKNN model was substantiated through validation on 11 UCI public datasets in addition to an AS-specific dataset. The model exhibited superior performance metrics-achieving an accuracy rate, specificity, Matthews correlation coefficient (MCC), F-measure, and computational time of 99.23 %, 99.52 %, 0.9906, 99.41 %, and 7.2800 s, respectively. These results not only underscore its profound capability in classification but also its substantial promise for the efficient diagnosis and prognosis of AS.
Collapse
Affiliation(s)
- Wenyuan Jia
- Department of Orthopedics, The Second Hospital of Jilin University, Changchun, 130041, China; Scientific and Technological Innovation Center of Health Products and Medical Materials with Characteristic Resources of Jilin Province, China.
| | - Shu Chen
- Department of Thoracic Surgery, The Second Hospital of Jilin University, Changchun, 130041, China.
| | - Lili Yang
- Department of Orthopedics, The Second Hospital of Jilin University, Changchun, 130041, China.
| | - Guomin Liu
- Department of Orthopedics, The Second Hospital of Jilin University, Changchun, 130041, China; Scientific and Technological Innovation Center of Health Products and Medical Materials with Characteristic Resources of Jilin Province, China.
| | - Chiyu Li
- Department of Orthopedics, The Second Hospital of Jilin University, Changchun, 130041, China.
| | - Zhiqiang Cheng
- Scientific and Technological Innovation Center of Health Products and Medical Materials with Characteristic Resources of Jilin Province, China; College of Resources and Environment, Jilin Agriculture University, Changchun, 130118, China.
| | - Guoqing Wang
- Zhejiang Suosi Technology Co. Ltd, Wenzhou, 325000, Zhejiang, China.
| | - Xiaoyu Yang
- Department of Orthopedics, The Second Hospital of Jilin University, Changchun, 130041, China.
| |
Collapse
|
8
|
Mohamed MAE, Mahmoud AM, Saied EMM, Hadi HA. Hybrid cheetah particle swarm optimization based optimal hierarchical control of multiple microgrids. Sci Rep 2024; 14:9313. [PMID: 38653776 DOI: 10.1038/s41598-024-59287-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/24/2023] [Accepted: 04/09/2024] [Indexed: 04/25/2024] Open
Abstract
The emergence of microgrids arises from the growing integration of Renewable Energy Resources (RES) and Energy Storage Systems (ESSs) into Distribution Networks (DNs). Effective integration, coordination, and control of Multiple Microgrids (MMGs) whereas navigating the complexities of energy transition within this context poses a significant challenge. The dynamic operation of MMGs is a challenge faced by the traditional distributed hierarchical control techniques. The application of Artificial Intelligence (AI) techniques is a promising way to improve the control and dynamic operation of MMGs in future smart DNs. In this paper, an innovative hybrid optimization technique that originates from Cheetah Optimization (CHO) and Particle Swarm Optimization (PSO) techniques is proposed, known as HYCHOPSO. Extensive benchmark testing validates HYCHOPSO's superiority over CHO and PSO in terms of convergence performance. The objective for this hybridization stems from the complementary strengths of CHO and PSO. CHO demonstrates rapid convergence in local search spaces, while PSO excels in global exploration. By combining these techniques, the aim is to leverage their respective advantages and enhance the algorithm's overall performance in addressing complex optimization problems. The contribution of this paper offering a unique approach to addressing optimization challenges in microgrid systems. Through a comprehensive comparative study, HYCHOPSO is evaluated against various metaheuristic optimization approaches, demonstrating superior performance, particularly in optimizing the design parameters of Proportional-Integral (PI) controllers for hierarchical control systems within microgrids. This contribution expands the repertoire of available optimization methodologies and offers practical solutions to critical challenges in microgrid optimization, enhancing the efficiency, reliability, and sustainability of microgrid operations. HYCHOPSO achieves its optimal score within fewer than 50 iterations, unlike CHO, GWO, PSO, Hybrid-GWO-PSO, and SSIA-PSO, which stabilize after around 200 iterations. Across various benchmark functions, HYCHOPSO consistently demonstrates the lowest mean values, attains scores closer to the optimal values of the benchmark functions, underscoring its robust convergence capabilities.the proposed HYCHOPSO algorithm, paired with a PI controller for distributed hierarchical control, minimizes errors and enhances system reliability during dynamic MMG operations. Using HYCHOPSO framework, an accurate power sharing, voltage/frequency stability, seamless grid-to-island transition, and smooth resynchronization are achieved. This enhances the real application's reliability, flexibility, scalability and robustness.
Collapse
Affiliation(s)
| | - Ahmed Mohamed Mahmoud
- Electrical Engineering Department, Faculty of Engineering at Shoubra, Benha University, Cairo, Egypt
- College of Technology in Cairo, MISR International Technological University, Cairo, 11813, Egypt
| | | | - Hossam Abdel Hadi
- Electrical Engineering Department, Faculty of Engineering at Shoubra, Benha University, Cairo, Egypt
| |
Collapse
|
9
|
Nemati M, Zandi Y, Agdas AS. Application of a novel metaheuristic algorithm inspired by stadium spectators in global optimization problems. Sci Rep 2024; 14:3078. [PMID: 38321172 PMCID: PMC10847446 DOI: 10.1038/s41598-024-53602-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/18/2023] [Accepted: 02/02/2024] [Indexed: 02/08/2024] Open
Abstract
This paper presents a novel metaheuristic algorithm inspired by the actions of stadium spectators affecting behavior of players during a match which will be called stadium spectators optimizer (SSO) algorithm. The mathematical model of the SSO algorithm is presented and the performance and efficiency of the presented method is tested on some of the well-known mathematical test functions and also CEC-BC-2017 functions. The SSO algorithm is a parameter-free optimization method since it doesn't require any additional parameter setup at any point throughout the optimization process. It seems urgently necessary to design a novel metaheuristic algorithm that is parameter-free and capable of solving any optimization problem without taking into account extra parameters, as the majority of metaheuristic algorithms rely on the configuration of extra parameters to solve different problems efficiently. A positive point for the SSO algorithm can be seen in the results of the suggested technique, which indicate a partial improvement in performance. The results are compared with those of golf optimization algorithm (GOA), Tiki taka optimization algorithm (TTA), Harris Hawks optimization algorithm (HHO), the arithmetic optimization algorithm (AOA), CMA-ES and EBOwithCMAR algorithms. The statistical tests are carried out for the obtained results and the tests reveal the capability of the presented method in solving different optimization problems with different dimensions. SSO algorithm performs comparably and robustly with the state-of-the-art optimization techniques in 14 of the mathematical test functions. For CEC-BC-2017 functions with ten dimensions, EBOwithCMAR performs better than the proposed method. However, for most functions of CEC-BC-2017 with ten dimensions, the SSO algorithm ranks second after EBOwithCMAR, which is an advantage of the SSO since the proposed method performs better than the well-known CMA-ES optimization algorithm. The overall performance of the SSO algorithm in CEC-BC-2017 functions with 10 dimensions was acceptable, in dimension of 30, 50 and 100, the performance of the proposed method in some functions decreased.
Collapse
Affiliation(s)
- Mehrdad Nemati
- Department of Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran
| | - Yousef Zandi
- Department of Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.
| | - Alireza Sadighi Agdas
- Department of Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran
| |
Collapse
|