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3,146 Results Found

  • Article
  • Open Access
10 Citations
3,442 Views
30 Pages

An Improved Equilibrium Optimizer with a Decreasing Equilibrium Pool

  • Lin Yang,
  • Zhe Xu,
  • Yanting Liu and
  • Guozhong Tian

13 June 2022

Big Data is impacting and changing the way we live, and its core lies in the use of machine learning to extract valuable information from huge amounts of data. Optimization problems are a common problem in many steps of machine learning. In the face...

(This article belongs to the Special Issue Symmetric Machine Learning Method Enhanced by Evolutionary Computation and Its Applications in Big Data Analytics)
  • Article
  • Open Access
13 Citations
3,429 Views
27 Pages

21 April 2022

With the rapid development of the economy, the quality of power systems has assumed an increasingly prominent influence on people’s daily lives. In this paper, an improved equilibrium optimizer (IEO) is proposed to solve the optimal power flow...

(This article belongs to the Special Issue The Emerging Data–Driven Smart City of Sustainability)
  • Article
  • Open Access
1 Citations
1,107 Views
32 Pages

Dynamic Heterogeneous Search-Mutation Structure-Based Equilibrium Optimizer

  • Xiangdong Wu,
  • Kaoru Hirota,
  • Yaping Dai and
  • Shuai Shao

8 May 2025

Aiming at the issues of population diversity attenuation, insufficient search efficiency, and susceptibility to a local optimum in the equilibrium optimizer (EO), a dynamic heterogeneous search-mutation structure-based equilibrium optimizer (DHSMEO)...

  • Article
  • Open Access
76 Citations
3,748 Views
21 Pages

5 March 2021

The unmanned aerial vehicle (UAV) path planning problem is a type of complex multi-constraint optimization problem that requires a reasonable mathematical model and an efficient path planning algorithm. In this paper, the fitness function including f...

(This article belongs to the Section Intelligent Sensors)
  • Article
  • Open Access
21 Citations
3,407 Views
25 Pages

15 September 2021

An improved equilibrium optimizer (EO) algorithm is proposed in this paper to address premature and slow convergence. Firstly, a highly stochastic chaotic mechanism is adopted to initialize the population for range expansion. Secondly, the capability...

  • Article
  • Open Access
3 Citations
1,778 Views
25 Pages

As modern medical technology advances, the utilization of gene expression data has proliferated across diverse domains, particularly in cancer diagnosis and prognosis monitoring. However, gene expression data is often characterized by high dimensiona...

(This article belongs to the Special Issue Exploration of Bio-Inspired Computing: 2nd Edition)
  • Article
  • Open Access
18 Citations
3,862 Views
20 Pages

Chaotic Search Based Equilibrium Optimizer for Dealing with Nonlinear Programming and Petrochemical Application

  • Abd Allah A. Mousa,
  • Mohammed A. El-Shorbagy,
  • Ibrahim Mustafa and
  • Hammad Alotaibi

21 January 2021

In this article, chaotic search based constrained equilibrium optimizer algorithm (CS-CEOA) is suggested by integrating a novel heuristic approach called equilibrium optimizer with a chaos theory-based local search algorithm for solving general non-l...

  • Article
  • Open Access
2 Citations
1,444 Views
37 Pages

10 February 2025

To strengthen the population diversity and search capability of equilibrium optimizer (EO), a dynamic multi-population mutation architecture-based equilibrium optimizer (DMMAEO) is proposed. Firstly, a dynamic multi-population guidance mechanism is c...

  • Article
  • Open Access
5 Citations
2,990 Views
30 Pages

An Archive-Guided Equilibrium Optimizer Based on Epsilon Dominance for Multi-Objective Optimization Problems

  • Nour Elhouda Chalabi,
  • Abdelouahab Attia,
  • Abderraouf Bouziane,
  • Mahmoud Hassaballah,
  • Abed Alanazi and
  • Adel Binbusayyis

13 June 2023

In real-world applications, many problems involve two or more conflicting objectives that need to be optimized at the same time. These are called multi-objective optimization problems (MOPs). To solve these problems, we introduced a guided multi-obje...

(This article belongs to the Special Issue Hybrid Metaheuristic Algorithms for Portfolio Optimization and Its Applications)
  • Article
  • Open Access
7 Citations
2,587 Views
21 Pages

Adaptive Guided Equilibrium Optimizer with Spiral Search Mechanism to Solve Global Optimization Problems

  • Hongwei Ding,
  • Yuting Liu,
  • Zongshan Wang,
  • Gushen Jin,
  • Peng Hu and
  • Gaurav Dhiman

The equilibrium optimizer (EO) is a recently developed physics-based optimization technique for complex optimization problems. Although the algorithm shows excellent exploitation capability, it still has some drawbacks, such as the tendency to fall i...

(This article belongs to the Special Issue Nature-Inspired Computer Algorithms: 2nd Edition)
  • Article
  • Open Access
3 Citations
1,941 Views
36 Pages

7 June 2025

To better address the reconfiguration problem of distribution networks with distributed generation (DG), a dynamic reconfiguration model is developed that accounts for the time-varying characteristics of both load demand and DG output. First, an enha...

  • Article
  • Open Access
2,233 Views
30 Pages

23 December 2024

The Equilibrium Optimizer (EO) is an optimization algorithm inspired by a physical law called mass balance, which represents the amount of mass entering, leaving, and being produced in a control volume. Although the EO is a well-accepted and successf...

(This article belongs to the Section Artificial Intelligence)
  • Article
  • Open Access
16 Citations
1,953 Views
16 Pages

27 July 2023

Sustainability is important in voltage regulation control in grids and must be done successfully. In this paper, a novel tilt-fractional order integral-derivative with a second order derivative and low-pass filters controller, referred to as TI&lambd...

(This article belongs to the Topic Optimal Planning, Integration and Control of Smart Grids and Microgrids Systems)
  • Article
  • Open Access
33 Citations
4,127 Views
35 Pages

19 November 2020

In recent decades, the energy market around the world has been reshaped to accommodate the high penetration of renewable energy resources. Although renewable energy sources have brought various benefits, including low operation cost of wind and solar...

(This article belongs to the Special Issue Artificial Intelligence Technologies for Electric Power Systems)
  • Article
  • Open Access
9 Citations
3,108 Views
19 Pages

10 March 2022

Accurate and quick acquisition of hydrogeological parameters is the critical issue for groundwater numerical simulation and sustainability of the water sources. A novel intelligent inversion method of hydrogeological parameter, based on the global op...

(This article belongs to the Topic Recent Advances in Hydroinformatics: Focusing on Machine Learning and Remote Sensing in Hydrology)
  • Article
  • Open Access
6 Citations
2,801 Views
18 Pages

Effective Optimization Based on Equilibrium Optimizer for Dynamic Cutting Force Coefficients of the End-Milling Process

  • Minh-Quang Tran,
  • Mahmoud Elsisi,
  • Viet Q. Vu,
  • Fahad Albalawi and
  • Sherif S. M. Ghoneim

10 September 2022

This study aims to develop an accurate dynamic cutting force model in the milling process. In the proposed model, the estimated cutting force tackles the effect of the self-excited vibration that causes machining instability during the cutting proces...

(This article belongs to the Special Issue Numerical Analysis and Optimization: Methods and Applications)
  • Article
  • Open Access
4 Citations
1,775 Views
18 Pages

Non-intrusive load monitoring is the main trend of green energy-saving electricity consumption at present, and load identification is a core part of non-invasive load monitoring. A support vector machine (SVM) is commonly used in load recognition, bu...

(This article belongs to the Special Issue Applications of Machine Learning in Real World)
  • Article
  • Open Access
351 Views
37 Pages

23 June 2026

As the complexity, scale, and nonlinearity of modern engineering optimization problems continue to increase, traditional optimization algorithms face significant challenges in achieving high solution accuracy, fast convergence, and robust performance...

(This article belongs to the Special Issue Scheduling and Optimization in Production and Transportation Systems (2nd Edition))
  • Article
  • Open Access
7 Citations
2,508 Views
21 Pages

24 September 2023

Wireless sensors networks (WSNs) play an important role in life. With the development of 5G, its security issues have also raised concerns. Therefore, it is an important topic to study the offense and defense confrontation in WSNs. A complete informa...

(This article belongs to the Section Sensor Networks)
  • Article
  • Open Access
10 Citations
4,813 Views
21 Pages

System identification is an important methodology used in control theory and constitutes the first step of control design. It is known that many real systems can be better characterized by fractional-order models. However, it is often quite complex a...

(This article belongs to the Section Engineering)
  • Article
  • Open Access
27 Citations
5,094 Views
28 Pages

Optimal PID Controllers for AVR System Considering Excitation Voltage Limitations Using Hybrid Equilibrium Optimizer

  • Martin Ćalasan,
  • Mihailo Micev,
  • Milovan Radulović,
  • Ahmed F. Zobaa,
  • Hany M. Hasanien and
  • Shady H. E. Abdel Aleem

31 October 2021

Automatic voltage regulator (AVR) represents the basic voltage regulator loop in power systems. The central part of this loop is the regulator, which has parameters that define the speed of the voltage regulation, quality of responses, and system sta...

(This article belongs to the Section Electromechanical Energy Conversion Systems)
  • Article
  • Open Access
2 Citations
2,090 Views
37 Pages

Simultaneous Optimization of Network Reconfiguration and Soft Open Points Placement in Radial Distribution Systems Using a Lévy Flight-Based Improved Equilibrium Optimizer

  • Ridha Djamel Mohammedi,
  • Djamal Gozim,
  • Abdellah Kouzou,
  • Mustafa Mosbah,
  • Ahmed Hafaifa,
  • Jose Rodriguez and
  • Mohamed Abdelrahem

25 November 2024

This research paper focuses on the application of a new method for the simultaneous reconfiguration and the optimum placing of Soft Open Points (SOPs) in Radial Distribution Systems (RDS). The proposed Lévy Flight-based Improved Equilibrium Op...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
14 Citations
3,281 Views
20 Pages

Equilibrium Optimizer and Slime Mould Algorithm with Variable Neighborhood Search for Job Shop Scheduling Problem

  • Yuanfei Wei,
  • Zalinda Othman,
  • Kauthar Mohd Daud,
  • Shihong Yin,
  • Qifang Luo and
  • Yongquan Zhou

1 November 2022

Job Shop Scheduling Problem (JSSP) is a well-known NP-hard combinatorial optimization problem. In recent years, many scholars have proposed various metaheuristic algorithms to solve JSSP, playing an important role in solving small-scale JSSP. However...

(This article belongs to the Special Issue Theoretical and Computational Research in Various Scheduling Models, 2nd Edition)
  • Article
  • Open Access
14 Citations
2,801 Views
24 Pages

Probabilistic Modeling and Equilibrium Optimizer Solving for Energy Management of Renewable Micro-Grids Incorporating Storage Devices

  • Salah K. ElSayed,
  • Sattam Al Otaibi,
  • Yasser Ahmed,
  • Essam Hendawi,
  • Nagy I. Elkalashy and
  • Ayman Hoballah

3 March 2021

Recently, micro-grids (MGs) have had a great impact on power system issues due to their clear environmental and economic advantages. This paper proposes an equilibrium optimizer (EO) technique for solving the energy management problem of MGs incorpor...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
24 Citations
6,430 Views
26 Pages

Estimating Flyrock Distance Induced Due to Mine Blasting by Extreme Learning Machine Coupled with an Equilibrium Optimizer

  • Ramesh Murlidhar Bhatawdekar,
  • Radhikesh Kumar,
  • Mohanad Muayad Sabri Sabri,
  • Bishwajit Roy,
  • Edy Tonnizam Mohamad,
  • Deepak Kumar and
  • Sangki Kwon

10 February 2023

Blasting is essential for breaking hard rock in opencast mines and tunneling projects. It creates an adverse impact on flyrock. Thus, it is essential to forecast flyrock to minimize the environmental effects. The objective of this study is to forecas...

(This article belongs to the Special Issue Advances in Rock Mechanics and Geotechnical Engineering)
  • Article
  • Open Access
14 Citations
2,051 Views
21 Pages

Developing a Hybrid Algorithm Based on an Equilibrium Optimizer and an Improved Backpropagation Neural Network for Fault Warning

  • Jiang Liu,
  • Changshu Zhan,
  • Haiyang Wang,
  • Xingqin Zhang,
  • Xichao Liang,
  • Shuangqing Zheng,
  • Zhou Meng and
  • Guishan Zhou

14 June 2023

In today’s rapidly evolving manufacturing landscape with the advent of intelligent technologies, ensuring smooth equipment operation and fostering stable business growth rely heavily on accurate early fault detection and timely maintenance. Mac...

(This article belongs to the Section Energy Systems)
  • Article
  • Open Access
1 Citations
2,345 Views
19 Pages

6 May 2023

A prerequisite for refined load management, crucial for intelligent energy management, is the precise classification of electric loads. However, the high dimensionality of electric load samples and poor identification accuracy of industrial scenarios...

(This article belongs to the Collection Methods and Applications of Data Mining in Business Domains)
  • Article
  • Open Access
35 Citations
5,098 Views
36 Pages

Data-Driven Approach for Rainfall-Runoff Modelling Using Equilibrium Optimizer Coupled Extreme Learning Machine and Deep Neural Network

  • Bishwajit Roy,
  • Maheshwari Prasad Singh,
  • Mosbeh R. Kaloop,
  • Deepak Kumar,
  • Jong-Wan Hu,
  • Radhikesh Kumar and
  • Won-Sup Hwang

5 July 2021

Rainfall-runoff (R-R) modelling is used to study the runoff generation of a catchment. The quantity or rate of change measure of the hydrological variable, called runoff, is important for environmental scientists to accomplish water-related planning...

  • Article
  • Open Access
457 Views
24 Pages

1 July 2026

Alternative-fuel engines, such as diesel–compressed natural gas (CNG) dual fuel systems, exhibit increased cycle-to-cycle combustion variability, placing demanding requirements on the accuracy and robustness of prediction models for key combust...

(This article belongs to the Special Issue Advances in Alternative Fuel Engines and Combustion Technology)
  • Article
  • Open Access
4 Citations
4,005 Views
17 Pages

1 December 2017

This paper focuses on the optimal intraday scheduling of a distribution system that includes renewable energy (RE) generation, energy storage systems (ESSs), and thermostatically controlled loads (TCLs). This system also provides time-of-use pricing...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
1 Citations
3,449 Views
13 Pages

5 October 2023

We study the monopolistic competition model of Dixit–Stiglitz–Krugman with additive separable utility and transport costs of “iceberg types”. The production costs are not necessary linear. We study two concepts: market equilib...

(This article belongs to the Special Issue Mathematical Modeling and Applications in Industrial Organization)
  • Article
  • Open Access
476 Views
19 Pages

18 March 2026

Coupling interference in densely integrated high-frequency communication architectures leads to significant degradation in transmission efficiency, particularly in modern 5G and GHz-range platforms. From a mathematical perspective, mitigating such in...

(This article belongs to the Special Issue Computational Intelligence in Communication Networks)
  • Article
  • Open Access
15 Citations
3,201 Views
20 Pages

Multiobjective Scheduling of Hybrid Renewable Energy System Using Equilibrium Optimization

  • Salil Madhav Dubey,
  • Hari Mohan Dubey,
  • Manjaree Pandit and
  • Surender Reddy Salkuti

5 October 2021

Due to increasing concern over global warming, the penetration of renewable energy in power systems is increasing day by day. Gencos that traditionally focused only on maximizing their profit in the competitive market are now also focusing on operati...

(This article belongs to the Special Issue Emerging and Advanced Green Energy Technologies for Sustainable and Resilient Future Grid)
  • Article
  • Open Access
2 Citations
1,946 Views
18 Pages

30 March 2024

Lattice materials are regarded as a new family of promising materials with high specific strength and low density. However, in the optimization of lattice materials, it is difficult in general to determine the material distribution in lattice structu...

(This article belongs to the Section Additive Manufacturing Technologies)
  • Article
  • Open Access
2 Citations
4,553 Views
19 Pages

Optimization of Location-Routing for Multi-Vehicle Combinations with Capacity Constraints Based on Binary Equilibrium Optimizers

  • Rui Xi,
  • Danju Lv,
  • Yueyun Yu,
  • Xin Huang,
  • Ziqian Wang,
  • Lianglian Gu,
  • Zhicheng Zhu and
  • Yan Zhang

31 December 2023

The Location-Routing Problem (LRP) becomes a more intricate subject when the limits of capacities of vehicles and warehouses are considered, which is an NP-hard problem. Moreover, as the number of vehicles increases, the solution to LRP is exacerbate...

(This article belongs to the Special Issue Applied Mathematical Modeling and Optimization)
  • Article
  • Open Access
4 Citations
3,866 Views
19 Pages

17 October 2019

The increasing penetration of distributed generation (DG) brings about great fluctuation and uncertainty in distribution networks. In order to improve the ability of distribution networks to cope with disturbances caused by uncertainties and to evalu...

(This article belongs to the Special Issue Sustainable Energy Systems: Optimization and Efficiency)
  • Article
  • Open Access
25 Citations
3,505 Views
28 Pages

26 June 2020

This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction. The novelty of our paper is that methods can also be used to so...

(This article belongs to the Section F: Electrical Engineering)
  • Article
  • Open Access
1 Citations
5,349 Views
30 Pages

Numerous optimization problems exist in the design and operation of power systems, critical for efficient energy use, cost minimization, and system stability. With increasing energy demand and diversifying energy structures, these problems grow incre...

(This article belongs to the Special Issue Energy Sources Integrated with Power Distribution Systems Using Machine Learning Approach)
  • Article
  • Open Access
376 Views
21 Pages

A Hybrid Method of Binary Grey Wolf Optimization and Equilibrium Optimization for Feature Selection in Diagnosing Bearing Faults

  • Chun-Yao Lee,
  • Kuan-Yu Huang,
  • Truong-An Le,
  • Guang-Lin Zhuo,
  • Mu-Ze Li and
  • Chung-Hao Huang

23 June 2026

Diagnosing bearing faults remains a crucial challenge, particularly in effectively extracting fault information and achieving high diagnostic accuracy. To address this issue, this study presents a model for diagnosing bearing faults, which comprises...

(This article belongs to the Special Issue Mathematical Models for Fault Detection and Diagnosis)
  • Article
  • Open Access
16 Citations
5,295 Views
30 Pages

27 February 2023

The article discusses the issue of modelling traffic flows and the transport network. Faced with an increase in the number of vehicles in road networks, the problem of congestion and the need to optimise traffic and adapt the transport infrastructure...

(This article belongs to the Collection Urban Transport Systems Efficiency, Network Planning and Safety: Volume II)
  • Article
  • Open Access
11 Citations
3,464 Views
18 Pages

22 February 2019

Reasonable transportation network layoutsarecritical for optimizing a comprehensive transport system. With the gradual development of a transportation industry from quantitative expansion to structural optimization, and transformation of various tran...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
8 Citations
25,242 Views
8 Pages

17 September 2020

We provide a natural derivation and interpretation for the uncertainty principle in quantum mechanics from the stochastic optimal control approach. We show that, in particular, the stochastic approach to quantum mechanics allows one to understand the...

(This article belongs to the Special Issue Symmetries in Quantum Mechanics)
  • Article
  • Open Access
1 Citations
1,611 Views
27 Pages

25 October 2024

Over the past decade, the development of computer-aided detection tools for medical image analysis has seen significant advancements. However, tasks such as the automatic differentiation of tissues or regions in medical images remain challenging. Mag...

  • Article
  • Open Access
879 Views
27 Pages

6 January 2026

Nonsmooth multiobjective mathematical programming problems with equilibrium constraints (NMMPEC) are studied in this article in the Hadamard manifold setting. In the context of (NMMPEC), the generalized Guignard constraint qualification (GGCQ) is for...

(This article belongs to the Section Mathematical Analysis)
  • Article
  • Open Access
1,637 Views
19 Pages

16 June 2025

Recent developments in dynamic portfolio optimization have focused on the role played by portfolio frictions. Portfolio frictions make the portfolio’s response to financial shocks weaker and more gradual than in a model without frictions. At th...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
12 Citations
2,940 Views
15 Pages

Research on Multi-Objective Ore Blending Optimization Based on Non-Equilibrium Grade Polymetallic Mine of Shizhuyuan

  • Ji Wu,
  • Linqi Huang,
  • Binquan He,
  • Zhongze Li,
  • Guohui Chen,
  • Gong Chen and
  • Xibing Li

26 October 2022

The ore blending of non-equilibrium grade polymetallic ore is affected by various factors such as mineral resources, production technology, and economic efficiency. Aiming at the problems of Shizhuyuan Polymetallic Mine being diverse in nature, uneve...

(This article belongs to the Section Mineral Processing and Extractive Metallurgy)
  • Article
  • Open Access
17 Citations
2,475 Views
20 Pages

12 October 2022

In this paper, a stochastic-meta-heuristic model (SMM) for multi-criteria allocation of wind turbines (WT) in a distribution network is performed for minimizing the power losses, enhancing voltage profile and stability, and enhancing network reliabil...

  • Article
  • Open Access
59 Citations
6,432 Views
23 Pages

Improved Equilibrium Optimization Algorithm Using Elite Opposition-Based Learning and New Local Search Strategy for Feature Selection in Medical Datasets

  • Zenab Mohamed Elgamal,
  • Norizan Mohd Yasin,
  • Aznul Qalid Md Sabri,
  • Rami Sihwail,
  • Mohammad Tubishat and
  • Hazim Jarrah

The rapid growth in biomedical datasets has generated high dimensionality features that negatively impact machine learning classifiers. In machine learning, feature selection (FS) is an essential process for selecting the most significant features an...

  • Article
  • Open Access
6 Citations
3,081 Views
18 Pages

6 September 2018

Carbon emissions have become significant obstacles to sustainable development. To control carbon emissions, rational carbon emissions quota allocation provides an effective way. As conventional power plants (CPP) are the major contributors to global...

(This article belongs to the Section Energy Sustainability)
  • Article
  • Open Access
15 Citations
2,950 Views
18 Pages

The enlargement of the prostate gland in the reproductive system of males is considered a form of prostate cancer (PrC). The survival rate is considerably improved with earlier diagnosis of cancer; thus, timely intervention should be administered. In...

(This article belongs to the Special Issue Artificial Intelligence Applications in Cancer and Other Diseases)

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