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Search Results (1,564)

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Keywords = multi-objective Pareto optimization

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31 pages, 3411 KB  
Article
Numerical Investigation of the Actual Volumetric Flow Rate and Volumetric Efficiency and Optimization of the Geometric Parameters of a Three-Rotor Pump with Lantern Meshing—Part II
by Ivaylo Nikolaev, Ivan Georgiev, Slavi Georgiev and Georgi Iliev
Machines 2026, 14(7), 720; https://doi.org/10.3390/machines14070720 (registering DOI) - 25 Jun 2026
Abstract
Part II of this study builds upon the mathematical framework developed and validated in Part I for describing the geometry and volumetric performance indicators of an innovative three-rotor hydraulic pump with bilateral lantern meshing. This part focuses on the numerical investigation and multi-objective [...] Read more.
Part II of this study builds upon the mathematical framework developed and validated in Part I for describing the geometry and volumetric performance indicators of an innovative three-rotor hydraulic pump with bilateral lantern meshing. This part focuses on the numerical investigation and multi-objective optimization of these indicators through the proper selection of geometric parameters. The aim of the study is to establish the isolated and combined influence of the dimensionless geometric parameters—number of teeth z, relative lantern radius r*c,  and cycloid shortening coefficient λ—on the actual flow rate Q and the volumetric efficiency ηv under various operating conditions, while maintaining the overall dimensions of the pump element in the radial and axial directions. Through detailed numerical analysis and subsequent rigorous analytical proof, it has been established that the optimal values of the geometric coefficients r*c,opt and λopt are strictly determined and provide a simultaneous global maximization of both indicators (Q, ηv), regardless of the operating pressure p, rotational speed n,  or the viscosity of the working fluid. However, an analytically irresolvable conflict regarding the number of teeth z has been identified: a small number maximizes the flow rate, whereas a large number increases the volumetric efficiency. To overcome this contradiction, the problem is formulated within the class of mixed-integer nonlinear programming (MINLP), and multicriteria Pareto optimization is applied, combined with the PSIMS method for the selection of optimal compromise solutions. An empirical relationship (with a coefficient of determination of R2 = 0.9603) has been derived, which defines the optimal number of teeth zopt as a function of the operating pressure and rotational speed. The proposed methodology provides a reliable and applicable tool for designing highly efficient three-rotor pumps tailored to specific operational requirements. Full article
(This article belongs to the Special Issue Components of Hydrostatic Drive Systems)
33 pages, 18122 KB  
Article
Embodied Energy and Emergy–Life Cycle Assessment of Hail-Resistant PV Modules: Sustainability Comparison of Reinforcement Design Strategies
by Lijia Zhang, Junxue Zhang, Hairuo Wang, Ashish T. Asutosh, Ge Song, Weidong Wu and Xiaoting Zhai
Energies 2026, 19(13), 3003; https://doi.org/10.3390/en19133003 (registering DOI) - 25 Jun 2026
Abstract
Against the background of climate change intensifying extreme hail events, the photovoltaic module industry faces a critical trade-off between improving hail resistance and maintaining environmental sustainability. This study establishes an emergy–life cycle coupling assessment framework to systematically evaluate the environmental sustainability of six [...] Read more.
Against the background of climate change intensifying extreme hail events, the photovoltaic module industry faces a critical trade-off between improving hail resistance and maintaining environmental sustainability. This study establishes an emergy–life cycle coupling assessment framework to systematically evaluate the environmental sustainability of six typical hail resistance enhancement designs across four hail risk scenarios in China. Five hierarchical hypotheses are proposed and validated through quantitative analysis. The optimal design point occurs at 30 mm hail resistance using 3.2 mm tempered glass, achieving a minimum unit environmental impact per impact resistance UEIC of 9.63 × 1012 sej/mm. The ranking divergence index SDR between coupled emergy–LCA and conventional LCA methods is 0.267, with ecosystem service dependence ESD reaching 0.241 for composite backsheet designs, revealing natural capital overlooked by traditional methods. A complete ranking reversal occurs at a threshold hail frequency of 1.3 events per year, above which the 3.2 mm glass design outperforms standard modules with life cycle emergy input LCEA of 3.20 × 1014 sej versus 3.41 × 1014 sej under high-risk scenarios. Material type dominates environmental impact over structural parameters by a factor of 2.32, with recycled aluminum frames reducing ELCI by 12.4%. The dual-optimum design is identified as the 3.2 mm tempered glass scheme, achieving a combined sustainability score CSS of 0.782 and emergy yield ratio EYR of 3.86, outperforming the industry average of 3.61. Multi-objective optimization using NSGA-II yields a Pareto front of 12 non-dominated solutions, with the 3.2 mm glass design maintaining Pareto optimal status in 72% of Monte Carlo iterations. This research provides a quantitative decision-making framework recommending standard modules for regions below one annual hail event, the 3.2 mm glass design for regions between one and four annual events, and steel frame combinations above four annual events, demonstrating that moderate enhancement achieves the optimal balance between hail protection and environmental sustainability. Full article
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32 pages, 3434 KB  
Article
Multi-Objective Hierarchical Optimization Framework for Vehicle-to-Vehicle Trading Integrating Hybrid Deep Learning and Dynamic Greedy Matching
by Zhuolin Wu and Bifei Tan
World Electr. Veh. J. 2026, 17(7), 329; https://doi.org/10.3390/wevj17070329 (registering DOI) - 25 Jun 2026
Abstract
Accelerated electric vehicle (EV) adoption imposes complex requirements on grid integration and energy dispatch. Current Vehicle-to-Vehicle (V2V) trading research frequently utilizes monolithic forecasting architectures that fail to account for the stochastic nature of mobility data. Furthermore, traditional optimization strategies often prioritize financial yields [...] Read more.
Accelerated electric vehicle (EV) adoption imposes complex requirements on grid integration and energy dispatch. Current Vehicle-to-Vehicle (V2V) trading research frequently utilizes monolithic forecasting architectures that fail to account for the stochastic nature of mobility data. Furthermore, traditional optimization strategies often prioritize financial yields at the expense of user-centric utilities, hindering global system optimality. To resolve these limitations, this paper proposes a hierarchical optimization framework, designed to reconcile the interests of stakeholders. The approach first employs a hybrid deep learning architecture, integrating long short-term memory (LSTM), gated recurrent unit (GRU), and Transformer architectures, dynamically weight predictions and refine available dwell time estimations. Then, a multi-objective optimization model is formulated to identify Pareto-optimal solutions that balance economic efficiency with user convenience. Finally, a dynamic greedy matching algorithm is introduced to facilitate rapid transaction pairing for large-scale, real-time V2V requests under multiple constraints. Simulation results demonstrate that this hierarchical framework improves trading success rates, optimizes resource distribution, and enhances overall user satisfaction. Full article
(This article belongs to the Section Automated and Connected Vehicles)
16 pages, 2624 KB  
Article
Computational Protein Redesign of Bacteriophages by Using Evolutionary Algorithms
by Rolando Armas, Ariel Pincay, Cristofer Motoche-Monar, Francisco Hidrobo and José A. Castillo
Biology 2026, 15(13), 997; https://doi.org/10.3390/biology15130997 (registering DOI) - 25 Jun 2026
Abstract
Protein–protein interactions are a fundamental component of most biological processes in living organisms. Therefore, enhancing these molecular interactions is of major importance in the life sciences field. In this paper we present the redesign of a protein–protein complex using single-elitist and multi-objective evolutionary [...] Read more.
Protein–protein interactions are a fundamental component of most biological processes in living organisms. Therefore, enhancing these molecular interactions is of major importance in the life sciences field. In this paper we present the redesign of a protein–protein complex using single-elitist and multi-objective evolutionary algorithms. We focus on a structural complex composed of a bacteriophage protein interacting with a bacterial protein, emphasizing the interaction zone, which is defined by the closest distance between residues from proteins and comprises thirty-eight positions. Our approach fuses physics-based energy calculations with data-driven models to maximize the effectiveness of the search process. By simultaneously minimizing interaction energy and maximizing the log-likelihood ratio, the proposed algorithms show a balance between thermodynamic stability and biological sequence plausibility. This hybrid strategy guides the mutation of specific residues, enabling the identification of optimal solutions that are both physically robust and evolutionarily relevant. Results demonstrate that the evolved Pareto optimal set exhibits a significant improvement in binding affinity, with mean interface energy decreasing from +32 to −60 REU (Rosetta Energy Units). Furthermore, the analysis identifies key conserved residue positions, validating the capability of the framework to produce energetically favorable and biologically consistent protein designs. Full article
(This article belongs to the Section Bioinformatics)
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31 pages, 1500 KB  
Article
Determining Charging Infrastructure Requirements for Electrified Long-Haul Freight Traffic on German Motorways: A Dual-Perspective Analysis
by Diego Fadranski, Tobias Tietz and Dietmar Göhlich
World Electr. Veh. J. 2026, 17(7), 326; https://doi.org/10.3390/wevj17070326 (registering DOI) - 24 Jun 2026
Abstract
The electrification of long-haul freight transport requires a comprehensive public charging infrastructure along motorways. This study presents a framework combining multi-agent transport simulation (MATSim) with evolutionary bi-objective optimization (NSGA-II) to determine the number and spatial distribution of high-power charging (HPC) points for battery-electric [...] Read more.
The electrification of long-haul freight transport requires a comprehensive public charging infrastructure along motorways. This study presents a framework combining multi-agent transport simulation (MATSim) with evolutionary bi-objective optimization (NSGA-II) to determine the number and spatial distribution of high-power charging (HPC) points for battery-electric trucks (BETs) on the German motorway network. Beyond infrastructure sizing, the approach also quantifies the impact of BET charging on the duration and distance of long-haul truck trips. The optimization simultaneously addresses the perspectives of two key stakeholders: charge point operators (CPOs), who seek to maximize charger utilization, and logistics operators, who aim to minimize waiting times. The results yield a range of Pareto-optimal configurations balancing the two objectives. A multi-iteration replanning step further lets trucks adapt their routes to experienced waiting times for a more realistic performance assessment, reducing mean waiting times by up to 92%. We evaluate five electrification levels from 1% to 20% across two charging network scenarios with 347 and 779 potential locations, respectively. For the balanced solutions—the knee-point configurations that best reconcile both objectives—at a 10% electrification level, the optimized network reaches a temporal charger utilization of 23% to 32% at mean waiting times of about 1.4 to 1.9 min per charging process. Compared with an internal combustion engine truck (ICET) reference, BET trip durations increase by only 0.9% to 1.3% due to charging detours. Overall, the fast-charging network planned by the German federal government appears sufficient for the HPC demand at electrification levels up to 10% to 15%, whereas additional low-power charging (LPC) infrastructure beyond the planned locations will be needed to cover overnight charging requirements. Full article
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32 pages, 5986 KB  
Article
REGEN: A Regulation-Aware Generative Design Framework for BIM-Enabled Multi-Objective Optimization of Sustainable Residential Buildings
by Wittaya Srisomboon and Narongrit Wongwai
Sustainability 2026, 18(13), 6386; https://doi.org/10.3390/su18136386 (registering DOI) - 23 Jun 2026
Viewed by 201
Abstract
Early-stage residential building design in dense urban environments involves complex interactions among zoning regulations, geometric configuration, environmental performance, and economic feasibility. Conventional CAD–spreadsheet workflows and parametric BIM-based approaches remain limited in systematically resolving these interdependent trade-offs and typically rely on heuristic iteration and [...] Read more.
Early-stage residential building design in dense urban environments involves complex interactions among zoning regulations, geometric configuration, environmental performance, and economic feasibility. Conventional CAD–spreadsheet workflows and parametric BIM-based approaches remain limited in systematically resolving these interdependent trade-offs and typically rely on heuristic iteration and post hoc regulatory verification. To address this limitation, this study proposes REGEN, a regulation-aware BIM-enabled multi-objective optimization framework for sustainable residential building design. The framework formalizes planning and building-control regulations as explicit algebraic constraints embedded within a parametric BIM environment and integrates them with the Non-dominated Sorting Genetic Algorithm II (NSGA-II) to generate regulation-compliant design alternatives with respect to the encoded planning and building-control regulations. REGEN simultaneously optimizes five competing objectives: maximizing project profit, green-area provision, and building efficiency while minimizing geometric shape factor and building footprint area. A real condominium feasibility case in Bangkok, Thailand, is used to benchmark the proposed framework against conventional practice and parametric BIM-based design under identical site and regulatory conditions. The results reveal a non-convex Pareto front that exposes complex trade-offs among environmental, geometric, and economic objectives. The selected closest-to-utopia solution achieves 65.50% building efficiency, 606 m2 of green area, a shape factor of 0.399, and a building footprint area of 1078 m2 while maintaining a competitive project profit of 104.55 million THB without maximizing FAR utilization. The findings suggest that regulation-aware generative optimization has the potential to serve as an explainable and decision-oriented approach for sustainable construction and early-stage residential development planning. Full article
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25 pages, 1542 KB  
Article
Cooperative Task Planning of Heterogeneous Unmanned Aerial Vehicle Formations Driven by a Multi-Objective Dolphin Echolocation Optimization Algorithm
by Chengyuan Pang, Zongpu Li, Le Ru, Fan Sun and Jiaxu Chen
Drones 2026, 10(6), 473; https://doi.org/10.3390/drones10060473 (registering DOI) - 22 Jun 2026
Viewed by 134
Abstract
In the task planning of heterogeneous unmanned aerial vehicle formations, problems such as dynamic topological instability and sparse Pareto front exist, which affect the robustness of the planning. To address this, this paper proposes a cooperative task planning method based on multi-objective dolphin [...] Read more.
In the task planning of heterogeneous unmanned aerial vehicle formations, problems such as dynamic topological instability and sparse Pareto front exist, which affect the robustness of the planning. To address this, this paper proposes a cooperative task planning method based on multi-objective dolphin echolocation optimization driving. Firstly, a differentiated dynamic model of heterogeneous unmanned aerial vehicles covering different configurations such as rotors and fixed wings is constructed, and a dynamic communication topology model is established based on time-varying graph theory to quantify transmission delay and link stability. Then, a multi-objective optimization model is designed with task completion, energy balance, and time cost as the core, Bayesian networks are introduced to construct a dynamic threat field, and risk assessment and real-time response are achieved in complex environments. Based on this, a multi-objective dolphin echo optimization algorithm is adopted to solve the model, and its echo beam focusing search and adaptive weight allocation mechanism are utilized to effectively improve the convergence and distribution of the Pareto solution set. Finally, a “decision execution” hierarchical collaborative control architecture is constructed, utilizing the decision layer to output a global planning scheme and the execution layer to achieve rolling optimization and precise tracking of instructions through distributed model predictive control. The simulation test results show that this method can maintain high task completion, energy balance, and communication stability in different formation sizes and complex environments significantly better than traditional algorithms. When the formation size is between 20 and 60 sorties, the hypervolume (HV) index of this method is superior to that of the comparison method. In cases of sudden obstacles and complex electromagnetic interference scenarios, the average energy consumption of a single unmanned aerial vehicle after applying this method is maintained at 150–250 Wh, and the transmission delay is stable at 50–200 ms. The experimental results verify that this method has good planning robustness and collaborative real-time performance. Full article
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14 pages, 1345 KB  
Article
A Functional Data Analysis-Based Framework for Modeling and Multi-Objective Optimization of Sustained-Release Drug Delivery Systems
by Hao Ren, Mengchen Han, Yuchao Qiao, Yu Cui, Chongqi Hao, Yiming Lou, Gaomin Jing, Qiankun Liu, Lang Yang, Li Zheng and Lixia Qiu
Pharmaceutics 2026, 18(6), 756; https://doi.org/10.3390/pharmaceutics18060756 (registering DOI) - 21 Jun 2026
Viewed by 229
Abstract
Objectives: An integrated methodological framework was developed for modeling and multiobjective optimization of sustained-release drug delivery systems. Methods: The cumulative release percentage was fitted as a function curve, and functional principal component analysis was subsequently used to transform the function curves [...] Read more.
Objectives: An integrated methodological framework was developed for modeling and multiobjective optimization of sustained-release drug delivery systems. Methods: The cumulative release percentage was fitted as a function curve, and functional principal component analysis was subsequently used to transform the function curves into functional principal component scores (FPCs). FPCs were then treated as dependent variables, while the proportions of the formulation factors were used as independent variables to construct Scheffé polynomial regression models. Finally, Non-dominated Sorting Genetic Algorithm III (NSGA-III) was applied to perform multi-objective optimization. Results: FPC1, FPC2, and FPC3 captured 95.18%, 4.39%, and 0.32% of the total variation, respectively. Corresponding Scheffé polynomial regression models were established, including quadratic models for FPC1 (adjusted R2 = 0.751, AIC = 168.557) and FPC2 (adjusted R2 = 0.592, AIC = 119.302), and a special cubic model for FPC3 (adjusted R2 = 0.597, AIC = 64.574). The NSGA-III algorithm generated a Pareto optimal set, yielding stable formulation compositions with mean (SD) values of X1 = 0.123 (0.015), X2 = 0.821 (0.032), X3 = 0.012 (0.017), and X4 = 0.045 (0.015). The corresponding FPCs were −41.787 (2.544), 10.009 (0.168), and 8.264 (0.010) for FPCs1–FPCs3, respectively. The reconstructed cumulative release percentages were 42.471 (1.661), 52.623 (2.868), 69.942 (1.200), 84.275 (1.010), and 93.330 (0.832), demonstrating good agreement with the target release profiles. Conclusions: The integrated FDA–Scheffé–NSGA-III framework provides a robust and effective approach for accurately modeling release behavior and optimizing sustained-release formulations. Full article
(This article belongs to the Section Physical Pharmacy and Formulation)
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20 pages, 803 KB  
Article
Multi-Objective Just-in-Time Permutation Flow Shop: Tools for Analysis of Different Conflict Scenarios
by Nícolas Samuel Assis, Socorro Rangel and Helio Yochihiro Fuchigami
Mathematics 2026, 14(12), 2220; https://doi.org/10.3390/math14122220 (registering DOI) - 20 Jun 2026
Viewed by 102
Abstract
Permutation flow shop scheduling is an important production planning problem handled in different contexts. Just-in-time measures have been significant in the optimization of real problems and one is specifically addressed here: the total earliness and tardiness of jobs. The most used approach in [...] Read more.
Permutation flow shop scheduling is an important production planning problem handled in different contexts. Just-in-time measures have been significant in the optimization of real problems and one is specifically addressed here: the total earliness and tardiness of jobs. The most used approach in the literature to mathematically express this measure is to sum them up using unit weights thus obtainning a mono-objective function. In this paper it is shown that this is a simplification of a problem that is inherently multi-objective, highlighting how a more comprehensive approach can better support decision-making. A bi-objective mathematical optimization model and tools capable of analyzing the mono-objective solution within the multi-objective perspective are proposed. A computational study to analyze the benefits and difficulties of the solution using the bi-objective approach is presented. The results show that for large-scale instances in which the tardiness factor is small, the conflict between the objectives of minimizing the total earliness and minimizing the total tardiness of jobs increases significantly. Specifically, the mono-objective solution is unbalanced in 50.00% of the analyzed instance structures. However, in 48.12% of the instances, alternative Pareto-optimal trade-offs can be achieved with zero increase to the mono-objective optimal value. Therefore, the multi-objective approach has a greater potential to support decision-makers. Furthermore, we show that the choice of the solution method must be carefully considered, since the Pareto frontier associated with most instances has many non-supported points, representing up to 66.71% of the non-dominated set. Full article
(This article belongs to the Special Issue Innovations in Optimization and Operations Research, 2nd Edition)
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18 pages, 9710 KB  
Article
MOPSO-Based Design Optimization for Armature Coils in High-Propulsive-Force Electrodynamic Vibrators
by Xiaohong Fu, Minggang Zhu, Jianping Shen and Zhigang Liu
Machines 2026, 14(6), 707; https://doi.org/10.3390/machines14060707 (registering DOI) - 20 Jun 2026
Viewed by 168
Abstract
Directly coupled electrodynamic vibrators are widely used in vibration testing due to their ability to generate large propulsive forces. However, increasing the propulsive force typically requires higher driving currents, which leads to significant electrical heat generation and thermal management challenges in the armature [...] Read more.
Directly coupled electrodynamic vibrators are widely used in vibration testing due to their ability to generate large propulsive forces. However, increasing the propulsive force typically requires higher driving currents, which leads to significant electrical heat generation and thermal management challenges in the armature coil. To address this issue, this study proposes a multi-objective parameter optimization framework for the design of armature coils in high-propulsive-force electrodynamic vibration tables. Two optimization objectives are formulated based on electromagnetic and thermal considerations: minimization of electrical heat generation in the armature coil; and improvement in cooling capability, characterized by the ratio between the cooling water channel area and the conductive cross-sectional area. The key geometric parameters of the coil, including winding configuration and cross-sectional dimensions, are treated as design variables. The resulting multi-objective optimization problem is solved using a multi-objective particle swarm optimization (MOPSO) algorithm to obtain a set of Pareto-optimal solutions that balance the two competing thermal objectives. The present work focuses on the pre-design-stage optimization of the armature coil after the rated propulsive force and geometric envelope of the vibrator have been specified. A representative high-propulsive-force electrodynamic vibrator is analyzed as a case study. Finite element thermal simulations show that the selected Pareto-optimal design reduces the peak armature-coil temperature by approximately 9.7–36.6% compared with the other investigated coil configurations under the same propulsive force condition. The proposed method provides an efficient approach for the thermally constrained parameter design of high-power electrodynamic vibrator armature coils. Full article
(This article belongs to the Section Machine Design and Theory)
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38 pages, 3120 KB  
Article
Optimal Sizing of a Hybrid Nanogrid System Using Multi-Objective Neural Architecture Search Under Improved Uncertainty and Battery Degradation: A Case Study of Desert Camping in Hafr Al-Batin, Saudi Arabia
by Mohammad Shoaib Shahriar, Houssem R. E. H. Bouchekara, Abdulgafor Alfares, Yusuf Abubakar Sha’aban, Ali Mukhaylif Mohammed, Makbul A. M. Ramli and Muhammad Sharjeel Javaid
Sustainability 2026, 18(12), 6292; https://doi.org/10.3390/su18126292 (registering DOI) - 18 Jun 2026
Viewed by 273
Abstract
Optimal sizing of hybrid renewable energy systems for desert camps is a multi-objective problem that must account for cost, reliability, component degradation, and uncertainty. This paper introduces an improved multi-objective neural architecture search (IMONAS) framework for hybrid nanogrid sizing in the desert environment [...] Read more.
Optimal sizing of hybrid renewable energy systems for desert camps is a multi-objective problem that must account for cost, reliability, component degradation, and uncertainty. This paper introduces an improved multi-objective neural architecture search (IMONAS) framework for hybrid nanogrid sizing in the desert environment of Hafr Al-Batin, Saudi Arabia. The framework combines neural optimization, stochastic uncertainty modeling, and explicit battery degradation modeling, a combination not addressed in the reviewed studies for this application. Six test cases are examined by varying uncertainty assumptions, battery degradation, and the annual duration of uncertain operation. For each case, IMONAS provides Pareto-front solutions that specify the photovoltaic, diesel generator, battery autonomy, and inverter choices while minimizing the cost of energy (COE) and the loss of power supply probability (LPSP). IMONAS is compared with the original MONAS and five other multi-objective optimization methods. In addition to visual Pareto-front comparisons, the assessment uses Pareto-dominance indicators, namely the C-metric and an aggregated score derived from pairwise C-metric comparisons across the algorithms and cases. The results provide a validated sizing framework for remote arid-region nanogrids under uncertainty and battery degradation. Full article
(This article belongs to the Section Energy Sustainability)
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21 pages, 1375 KB  
Article
Multi-Objective BESS Siting and Sizing via NSGA-II and PTDF-Constrained DC Optimal Power Flow: Application to the Mali Transmission Network
by Adrián Alarcón Becerra, Gregorio Fernández, Aritz Rubio Egaña, Francesco Roncallo, Mario Mihetec, Alberto Júlio Tsamba, Nikola Matak and Gilberto Mahumane
Electricity 2026, 7(2), 57; https://doi.org/10.3390/electricity7020057 (registering DOI) - 18 Jun 2026
Viewed by 128
Abstract
Weak grid infrastructure and the absence of flexible storage are among the principal barriers to reliable, low-carbon energy access in sub-Saharan transmission systems. This paper proposes a hierarchical multi-objective framework for the optimal siting and sizing of battery energy storage systems (BESSs), applied [...] Read more.
Weak grid infrastructure and the absence of flexible storage are among the principal barriers to reliable, low-carbon energy access in sub-Saharan transmission systems. This paper proposes a hierarchical multi-objective framework for the optimal siting and sizing of battery energy storage systems (BESSs), applied to the 130-bus Mali transmission network within the EMERGE project. The upper level employs NSGA-II to simultaneously maximize daily price arbitrage revenue and minimize active power losses; the lower level solves a network-constrained DC optimal power flow with thermal branch limits enforced as hard linear inequalities via the Power Transfer Distribution Factor (PTDF) matrix. Over 500 generations, the framework identifies Bus 91 (SIRAKORO II, 150 kV) as the dominant storage location, achieving a maximum daily revenue of approximately €10,033 at a marginal loss increment of 6.7×103 MWh. The resulting Pareto front gives Mali system planners a quantitative tool for trading off private investment returns against grid-level environmental impact, demonstrating that rigorous network-constrained BESS planning is technically tractable and economically viable in the resource-constrained context of sub-Saharan energy transitions. Full article
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17 pages, 7476 KB  
Article
Design and Optimization of SAR Signal Array Receiving Based on MOEA/D-HPSO
by Zhiyang Zhang, Hongji Xing, Ximing Yu and Xiaogang Tang
Sensors 2026, 26(12), 3879; https://doi.org/10.3390/s26123879 - 18 Jun 2026
Viewed by 199
Abstract
Passive reception of spaceborne synthetic aperture radar (SAR) signals is of great significance for acquiring target characteristics and identifying SAR operating states. With the rapidly growing demand for high-quality SAR signal reception, signal-receiving arrays are prone to beam performance deterioration and difficulty in [...] Read more.
Passive reception of spaceborne synthetic aperture radar (SAR) signals is of great significance for acquiring target characteristics and identifying SAR operating states. With the rapidly growing demand for high-quality SAR signal reception, signal-receiving arrays are prone to beam performance deterioration and difficulty in beamforming under wide-angle scanning conditions. Traditional uniform arrays fail to meet practical engineering requirements and cannot balance multiple conflicting performance indicators. To address the above technical bottlenecks, this paper proposes a design method of a non-uniform planar receiving array based on the MOEA/D-HPSO algorithm. Taking maximum sidelobe level (MSL), array gain (G), and beamwidth (BW) as core performance indicators, a multi-objective optimization model of SAR signal-receiving array for wide-angle scanning is established. This method integrates the multi-objective decomposition strategy and hybrid genetic particle swarm optimization mechanism, decomposes complex multi-objective problems into several scalar subproblems, obtains uniformly distributed Pareto fronts, and effectively improves the diversity of solution sets. Simulation experimental results show that the proposed algorithm is superior to traditional mainstream algorithms such as NSGA-II and MOEA/D-DE in terms of convergence accuracy, solution set distribution, and various performance indicators. Typical array design examples verify that the proposed method can adapt to various engineering application scenarios and provide technical support for spaceborne SAR signal reception and spectrum management. Full article
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29 pages, 2470 KB  
Article
Impact of Circular Economy and Key Operational Parameters on Steel Supply Chain Performance Under a Dedicated Warehousing Policy: A Multi-Objective Case Study
by Mai S. Abdelaziz and Tamer F. Abdelmaguid
Logistics 2026, 10(6), 139; https://doi.org/10.3390/logistics10060139 - 17 Jun 2026
Viewed by 282
Abstract
Background: Egypt is one of the top steel producers in the Middle East and Africa, yet it faces acute water scarcity and rising energy costs, making it a critical context for studying trade-offs among carbon emissions, water ecological effects, and operational cost [...] Read more.
Background: Egypt is one of the top steel producers in the Middle East and Africa, yet it faces acute water scarcity and rising energy costs, making it a critical context for studying trade-offs among carbon emissions, water ecological effects, and operational cost in steel supply chain. Methods: Using a multi-objective optimization model based on real data from a major Egyptian steel manufacturer, this study evaluates trade-offs among cost, tardiness, and environmental impact measured by carbon emissions and water ecological effects. Unlike prior studies, this study demonstrates that dedicated warehousing enables batch-level traceability of returned scrap while reducing material handling travel time and carbon emissions. The AUGMECON method generates Pareto-optimal solutions, and sensitivity analysis is conducted on six parameters: scrap take-back rate, demand variability, raw material price, energy cost, production capacity, and carbon tax. Results: Demand and raw material prices dominate performance: a 5% demand increase raises cost by 8.6%, and a 15% raw material price increase raises cost by 32.7%. The knee-point solution achieves 58.18 billion EGP, 0.99 months tardiness, and 2096 million kg CO2 over nine months. Conclusions: This study quantifies the impact of the circular economy and operational parameters on steel supply chain performance under a dedicated warehousing policy. Full article
(This article belongs to the Section Sustainable Supply Chains and Logistics)
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19 pages, 23513 KB  
Article
Multi-Objective Crashworthiness Optimization of Variable-Thickness Expansion Tubes Using Machine Learning and Decision-Making
by Dezhuang Yu, Haitao Dong, Zhanyu Liu, Weiyuan Guan and Jijian Lu
Machines 2026, 14(6), 692; https://doi.org/10.3390/machines14060692 - 16 Jun 2026
Viewed by 260
Abstract
While traditional expansion tubes exhibit excellent energy absorption, their uniform wall thickness limits lightweighting and performance optimization. Graded thickness designs can reduce the initial peak crushing force (IPCF) and enhance material efficiency. This paper proposes a variable-thickness expansion tube integrating high [...] Read more.
While traditional expansion tubes exhibit excellent energy absorption, their uniform wall thickness limits lightweighting and performance optimization. Graded thickness designs can reduce the initial peak crushing force (IPCF) and enhance material efficiency. This paper proposes a variable-thickness expansion tube integrating high energy absorption with tailored mechanical response. Material tensile tests were conducted to determine the constitutive relationship, and axial compression experiments on expansion tubes were performed. Numerical simulations were validated against experimental results, establishing an accurate finite element model. The influence of design parameters on crashworthiness indicators was analyzed via orthogonal experiments. A fully connected neural network with a feature importance layer was then constructed to efficiently replace computationally expensive simulations. Key performance indicators—including IPCF, total energy absorption (EA), and structural mass (m)—were synergistically optimized using a multi-objective genetic algorithm. Finally, the entropy weight–gray relation–TOPSIS method was employed to select the most satisfactory solution from the Pareto front. The relative discrepancies between the selected solution and finite element simulations are 3.65% for EA, 0.23% for mass, and 4.37% for IPCF, confirming the framework’s reliability. This study establishes a systematic design approach combining machine learning, multi-objective optimization, and multi-criteria decision-making for high-performance energy-absorbing structures. Full article
(This article belongs to the Section Machines Testing and Maintenance)
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