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A Two-Layer Multiobjective Optimal Energy Management Strategy Considering Fuel Cell/Battery Lifetime
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作者 Zhaoyang Shen Zhidong Qi +2 位作者 Jie Zhou Junsong Xu Liang Shan 《Carbon and Hydrogen》 2025年第1期80-96,共17页
To optimize the operating efficiency and extend the lifespan of the multistack fuel cell hybrid system(MFCHS),this paper proposes a two-layer multiobjective optimal energy management strategy that considers the degrad... To optimize the operating efficiency and extend the lifespan of the multistack fuel cell hybrid system(MFCHS),this paper proposes a two-layer multiobjective optimal energy management strategy that considers the degradation of the fuel cell and the battery.Regarding the issues that power fluctuations damage the fuel cells'lifespan and high-current charging and discharging lead to battery capacity decay,the first layer of the strategy adopts locally weighted scatterplot smoothing(LOWESS)to smooth the output power of the fuel cells and prevent the battery from operating under high-current conditions.The second layer considers the uneven degree of degradation among the fuel cells and employs the dandelion optimizer(DO)algorithm to solve the objective function with an aging adaptive factor,optimizing the efficiency and lifespan.Meanwhile,the DO algorithm is enhanced by tent chaotic mapping and differential variation to improve the convergence speed and accuracy.Compared with the equivalent hydrogen consumption minimization strategy(ECMS)and the equal distribution strategy,the proposed strategy improves the average operating efficiency of the fuel cells,effectively reduces the degradation of the fuel cells and the capacity degradation of the battery,and maintains the performance consistency among the fuel cells. 展开更多
关键词 dandelion optimizer multiobjective optimization multistack fuel cell hybrid system
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Multiobjective optimal dispatch of microgrid based on analytic hierarchy process and quantum particle swarm optimization 被引量:7
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作者 Yuxin Zhao Xiaotong Song +1 位作者 Fei Wang Dawei Cui 《Global Energy Interconnection》 CAS 2020年第6期562-570,共9页
Owing to the rapid development of microgrids(MGs)and growing applications of renewable energy resources,multiobjective optimal dispatch of MGs need to be studied in detail.In this study,a multiobjective optimal dispat... Owing to the rapid development of microgrids(MGs)and growing applications of renewable energy resources,multiobjective optimal dispatch of MGs need to be studied in detail.In this study,a multiobjective optimal dispatch model is developed for a standalone MG composed of wind turbines,photovoltaics,diesel engine unit,load,and battery energy storage system.The economic cost,environmental concerns,and power supply consistency are expressed via subobjectives with varying priorities.Then,the analytic hierarchy process algorithm is employed to reasonably specify the weight coefficients of the subobjectives.The quantum particle swarm optimization algorithm is thereafter employed as a solution to achieve optimal dispatch of the MG.Finally,the validity of the proposed model and solution methodology are con firmed by case studies.This study provides refere nee for mathematical model of multiojective optimizati on of MG and can be widely used in current research field. 展开更多
关键词 Analytic hierarchy process(AHP) Quantum particle swarm optimization(QPSO) multiobjective optimal dispatch Microgrid.
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Higher-order optimality conditions for multiobjective optimization through a new type of directional derivatives
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作者 HUANG Zheng-gang 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第3期543-557,共15页
This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this n... This paper deals with extensions of higher-order optimality conditions for scalar optimization to multiobjective optimization.A type of directional derivatives for a multiobjective function is proposed,and with this notion characterizations of strict local minima of order k for a multiobjective optimization problem with a nonempty set constraint are established,generalizing the corresponding scalar case obtained by Studniarski[3].Also necessary not sufficient and sufficient not necessary optimality conditions for this minima are derived based on our directional derivatives,which are generalizations of some existing scalar results and equivalent to some existing multiobjective ones.Many examples are given to illustrate them there. 展开更多
关键词 strict local minima of order k multiobjective optimization higher-order optimality conditions higher-order directional derivatives
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AN EFFICIENT METHOD FOR MULTIOBJECTIVE OPTIMAL CONTROL AND OPTIMAL CONTROL SUBJECT TO INTEGRAL CONSTRAINTS
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作者 Ajeet Kumar Alexander Vladimirsky 《Journal of Computational Mathematics》 SCIE CSCD 2010年第4期517-551,共35页
We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include infor... We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget" remaining to satisfy each constraint; the augmented Hamilton-Jacobi-Bellman PDE is then solved numerically. The efficiency of our approach hinges on the causality in that PDE, i.e., the monotonicity of characteristic curves in one of the newly added dimensions. A semi-Lagrangian "marching" method is used to approximate the discontinuous viscosity solution efficiently. We compare this to a recently introduced "weighted sum" based algorithm for the same problem [25]. We illustrate our method using examples from flight path planning and robotic navigation in the presence of friendly and adversarial observers. 展开更多
关键词 optimal control multiobjective optimization Pareto front Vector dynamic programming Hamilton-Jacobi equation Discontinuous viscosity solution Semi-Lagrangian discretization.
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Multiobjective Optimal Water ResourcesManagement for a Large River Basin
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作者 Mahmoud Mohammad Issa Hasan(Ph. D Student in Hydrology and Weter Resources Enginering, College of Hydrology and WaterResources Engineering, Hohai University, Nanjing 210098 P. R. China) 《Systems Science and Systems Engineering》 CSCD 1999年第2期244-251,共8页
The availalability. use, development, and management of water resources are receivingincreasing attentioll worldwide. As demands for water continues to grow and the resources continue todwindle or at best remain cons... The availalability. use, development, and management of water resources are receivingincreasing attentioll worldwide. As demands for water continues to grow and the resources continue todwindle or at best remain constant at some level, it has become increasingly necessary to develop moreand more methods for the managaement of this scarce resource especially in arid and semiarid regions.The necessity of integrated planning and management of the basin arises because of insufficient anderratic nature of the rainfall. The purpose of this paper is to determine the optimal operation policy ofthe water resources for the river basins to meet the multi-objective demands of water requirements. Anoptimization approach has been developed to aid decision making in the real time allocation of waterwithin t he context of a large-scale, multi-objective, complex river system. The optimization approach isbased on the Progressive Optimality Algorithm, Golden Search techniqlle, and the ε-constraint method.As a case study, the present methodology is applied to the Yellow River Reservoir system in China andpresented in a companion paper in this issue. 展开更多
关键词 multiobjective optimization reservoir operation large scale real time allocation river basin water resources
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Automated inverse design of asymmetric excavation retaining structures using multiobjective optimization
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作者 Qiwei Wan Changjie Xu +2 位作者 Xiangyu Wang Haibin Ding Xiaozhen Fan 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第11期7351-7366,共16页
Conventional pit excavation engineering methods often struggle to manage the complex deformation patterns associated with asymmetric excavations,resulting in significant safety risks and increased project costs.These ... Conventional pit excavation engineering methods often struggle to manage the complex deformation patterns associated with asymmetric excavations,resulting in significant safety risks and increased project costs.These challenges highlight the need for more precise and efficient design methodologies to ensure structural stability and economic feasibility.This research proposes an innovative automatic optimization inverse design method(AOIDM)that integrates an enhanced genetic algorithm(EGA)with a multiobjective optimization model.By combining advanced computational techniques with engineering principles,this approach improves search efficiency by 30%and enhances deformation control accuracy by 25%.Additionally,the approach exhibits potential for reducing carbon emissions to align with sustainable engineering goals.The effectiveness of this approach was validated through comprehensive data analysis and practical case studies,demonstrating its ability to optimize retaining structure designs under complex asymmetric loading conditions.This research establishes a new standard for precision and efficiency in automated excavation design,with accompanying improvements in safety and cost-effectiveness.Furthermore,it lays the foundation for future geotechnical engineering advancements,offering a robust solution to one of the most challenging aspects of modern excavation projects. 展开更多
关键词 multiobjective optimization Enhanced genetic algorithm(EGA) Inverse design Deformation control Economic optimization
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MULTIOBJECTIVE OPTIMIZATION OF EIGHT-DOF VEHICLE SUSPENSION BASED ON GAME THEORY
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作者 宋崇智 赵又群 +1 位作者 谢能刚 王璐 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2010年第2期138-147,共10页
A systematic and effective optimization is proposed for the design of a three-dimensional (3-D) vehicle suspension model with eight degrees of freedom (DOF), including vertical seat motion, vehicle suspension, pit... A systematic and effective optimization is proposed for the design of a three-dimensional (3-D) vehicle suspension model with eight degrees of freedom (DOF), including vertical seat motion, vehicle suspension, pitching and rolling motions, and vertical wheel motions using the evolutionary game theory. A new design of the passive suspension is aided by game theory to attain the best compromise between ride quality and suspension deflections. Extensive simulations are performed on three type road surface models A, B, C pavement grades based on the guidelines provided by ISO-2631 with the Matlab/Simulink environment. The preliminary results show that, when the passive suspension is optimized via the proposed approach, a substantial improvement in the vertical ride quality is obtained while keeping the suspension deflections within their allowable clearance when the vehicle moves at a constant velocity v=20 m/s, and the comfort performance of a suspension seat can be enhanced by 20%-30%. 展开更多
关键词 vehicle suspensions multiobjective optimization game theory riding comfort
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Multiobjective Optimization of Simulated Moving Bed by Tissue P System 被引量:8
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作者 黄亮 孙磊 +1 位作者 王宁 金晓明 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2007年第5期683-690,共8页
The binaphthol enantiomers separation process using simulation moving bed technology is simulated with the true moving bed approach (TMB). In order to systematically optimize the process with multiple productive obj... The binaphthol enantiomers separation process using simulation moving bed technology is simulated with the true moving bed approach (TMB). In order to systematically optimize the process with multiple productive objectives, this article develops a variant of tissue P system (TPS). Inspired by general tissue P systems, the special TPS has a tissue-like structure with several membranes. The key rules of each membrane are the communication rule and mutation rule. These characteristics contribute to the diversity of the population, the conquest of the multimodal of objective function, and the convergence of algorithm. The results of comparison with a popular algorithm——the non-dominated sorting genetic algorithm 2(NSGA-2) illustrate that the new algorithm has satisfactory performance. Using the algorithm, this study maximizes synchronously several conflicting objectives, purities of different products, and productivity. 展开更多
关键词 simulated moving bed tissue P systems multiobjective optimization Pareto optimality evolutionary algorithm binaphthol enantiomers separation process
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Multiobjective Optimization of the Industrial Naphtha Catalytic Re-forming Process 被引量:7
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作者 侯卫锋 苏宏业 +1 位作者 牟盛静 褚健 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2007年第1期75-80,共6页
In this article, a multiobjective optimization strategy for an industrial naphtha continuous catalytic reform-ing process that aims to obtain aromatic products is proposed. The process model is based on a 20-lumped ki... In this article, a multiobjective optimization strategy for an industrial naphtha continuous catalytic reform-ing process that aims to obtain aromatic products is proposed. The process model is based on a 20-lumped kinetics re-action network and has been proved to be quite effective in terms of industrial application. The primary objectives in-clude maximization of yield of the aromatics and minimization of the yield of heavy aromatics. Four reactor inlet tem-peratures, reaction pressure, and hydrogen-to-oil molar ratio are selected as the decision variables. A genetic algorithm, which is proposed by the authors and named as the neighborhood and archived genetic algorithm (NAGA), is applied to solve this multiobjective optimization problem. The relations between each decision variable and the two objectives are also proposed and used for choosing a suitable solution from the obtained Pareto set. 展开更多
关键词 multiobjective optimization catalytic reforming lumped kinetics model neighborhood and archived genetic algorithm (NAGA)
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Solving Multitrip Pickup and Delivery Problem With Time Windows and Manpower Planning Using Multiobjective Algorithms 被引量:7
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作者 Jiahai Wang Yuyan Sun +1 位作者 Zizhen Zhang Shangce Gao 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第4期1134-1153,共20页
The multitrip pickup and delivery problem with time windows and manpower planning(MTPDPTW-MP)determines a set of ambulance routes and finds staff assignment for a hospital. It involves different stakeholders with dive... The multitrip pickup and delivery problem with time windows and manpower planning(MTPDPTW-MP)determines a set of ambulance routes and finds staff assignment for a hospital. It involves different stakeholders with diverse interests and objectives. This study firstly introduces a multiobjective MTPDPTW-MP(MO-MTPDPTWMP) with three objectives to better describe the real-world scenario. A multiobjective iterated local search algorithm with adaptive neighborhood selection(MOILS-ANS) is proposed to solve the problem. MOILS-ANS can generate a diverse set of alternative solutions for decision makers to meet their requirements. To better explore the search space, problem-specific neighborhood structures and an adaptive neighborhood selection strategy are carefully designed in MOILS-ANS. Experimental results show that the proposed MOILS-ANS significantly outperforms the other two multiobjective algorithms. Besides, the nature of objective functions and the properties of the problem are analyzed. Finally, the proposed MOILS-ANS is compared with the previous single-objective algorithm and the benefits of multiobjective optimization are discussed. 展开更多
关键词 Adaptive neighborhood selection manpower planning multiobjective optimization multitrip pickup and delivery problem with time windows
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Multiobjective optimization and multivariable control of the beer fermentation process with the use of evolutionary algorithms 被引量:7
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作者 ANDRES-TOROB. GIRON-SIERRAJ.M. FERNANDEZ-BLANCOP. LOPEZ-OROZCOJ.A. BESADA-PORTASE. 《Journal of Zhejiang University Science》 CSCD 2004年第4期378-389,共12页
This paper describes empirical research on the model, optimization and supervisory control of beer fermentation.Conditions in the laboratory were made as similar as possible to brewery industry conditions. Since mathe... This paper describes empirical research on the model, optimization and supervisory control of beer fermentation.Conditions in the laboratory were made as similar as possible to brewery industry conditions. Since mathematical models that consider realistic industrial conditions were not available, a new mathematical model design involving industrial conditions was first developed. Batch fermentations are multiobjective dynamic processes that must be guided along optimal paths to obtain good results.The paper describes a direct way to apply a Pareto set approach with multiobjective evolutionary algorithms (MOEAs).Successful finding of optimal ways to drive these processes were reported.Once obtained, the mathematical fermentation model was used to optimize the fermentation process by using an intelligent control based on certain rules. 展开更多
关键词 multiobjective optimization Genetic algorithms Industrial control Multivariable control systems Fermenta- tion processes
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Multiobjective optimization scheme for industrial synthesis gas sweetening plant in GTL process 被引量:4
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作者 Alireza Behroozsarand Akbar Zamaniyan 《Journal of Natural Gas Chemistry》 EI CAS CSCD 2011年第1期99-109,共11页
In industrial amine plants the optimized operating conditions are obtained from the conclusion of occurred events and challenges that are normal in the working units. For the sake of reducing the costs, time consuming... In industrial amine plants the optimized operating conditions are obtained from the conclusion of occurred events and challenges that are normal in the working units. For the sake of reducing the costs, time consuming, and preventing unsuitable accidents, the optimization could be performed by a computer program. In this paper, simulation and parameter analysis of amine plant is performed at first. The optimization of this unit is studied using Non-Dominated Sorting Genetic Algorithm-II in order to produce sweet gas with CO 2 mole percentage less than 2.0% and H 2 S concentration less than 10 ppm for application in Fischer-Tropsch synthesis. The simulation of the plant in HYSYS v.3.1 software has been linked with MATLAB code for real-parameter NSGA-II to simulate and optimize the amine process. Three scenarios are selected to cover the effect of (DEA/MDEA) mass composition percent ratio at amine solution on objective functions. Results show that sour gas temperature and pressure of 33.98 ? C and 14.96 bar, DEA/CO 2 molar flow ratio of 12.58, regeneration gas temperature and pressure of 94.92 ? C and 3.0 bar, regenerator pressure of 1.53 bar, and ratio of DEA/MDEA = 20%/10% are the best values for minimizing plant energy consumption, amine circulation rate, and carbon dioxide recovery. 展开更多
关键词 amine plant multiobjective optimization Non-Dominated Sorting Genetic Algorithm amine circulation rate
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Multiobjective fault detection and isolation for flexible air-breathing hypersonic vehicle 被引量:4
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作者 Xuejing Cai Fen Wu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期52-62,共11页
An application of the multiobjective fault detection and isolation(FDI) approach to an air-breathing hypersonic vehicle(HSV) longitudinal dynamics subject to disturbances is presented.Maintaining sustainable and s... An application of the multiobjective fault detection and isolation(FDI) approach to an air-breathing hypersonic vehicle(HSV) longitudinal dynamics subject to disturbances is presented.Maintaining sustainable and safe flight of HSV is a challenging task due to its strong coupling effects,variable operating conditions and possible failures of system components.A common type of system faults for aircraft including HSV is the loss of effectiveness of its actuators and sensors.To detect and isolate multiple actuator/sensor failures,a faulty linear parameter-varying(LPV) model of HSV is derived by converting actuator/system component faults into equivalent sensor faults.Then a bank of LPV FDI observers is designed to track individual fault with minimum error and suppress the effects of disturbances and other fault signals.The simulation results based on the nonlinear flexible HSV model and a nominal LPV controller demonstrate the effectiveness of the fault estimation technique for HSV. 展开更多
关键词 fault detection and isolation(FDI) hypersonic vehicle(HSV) actuator and sensor faults multiobjective optimization.
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Hybrid particle swarm optimization for multiobjective resource allocation 被引量:4
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作者 Yi Yang Li Xiaoxing Gu Chunqin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第5期959-964,共6页
Resource allocation(RA)is the problem of allocating resources among various artifacts or business units to meet one or more expected goals,such a.s maximizing the profits,minimizing the costs,or achieving the best qua... Resource allocation(RA)is the problem of allocating resources among various artifacts or business units to meet one or more expected goals,such a.s maximizing the profits,minimizing the costs,or achieving the best qualities.A complex multiobjective RA is addressed,and a multiobjective mathematical model is used to find solutions efficiently.Then,all improved particie swarm algorithm(mO_PSO)is proposed combined with a new particle diversity controller policies and dissipation operation.Meanwhile,a modified Pareto methods used in PSO to deal with multiobjectives optimization is presented.The effectiveness of the provided algorithm is validated by its application to some illustrative example dealing with multiobjective RA problems and with the comparative experiment with other algorithm. 展开更多
关键词 resource allocation multiobjective optimization improved particle swarm optimization.
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A Novel Multiobjective Fireworks Algorithm and Its Applications to Imbalanced Distance Minimization Problems 被引量:4
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作者 Shoufei Han Kun Zhu +4 位作者 MengChu Zhou Xiaojing Liu Haoyue Liu Yusuf Al-Turki Abdullah Abusorrah 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第8期1476-1489,共14页
Recently,multimodal multiobjective optimization problems(MMOPs)have received increasing attention.Their goal is to find a Pareto front and as many equivalent Pareto optimal solutions as possible.Although some evolutio... Recently,multimodal multiobjective optimization problems(MMOPs)have received increasing attention.Their goal is to find a Pareto front and as many equivalent Pareto optimal solutions as possible.Although some evolutionary algorithms for them have been proposed,they mainly focus on the convergence rate in the decision space while ignoring solutions diversity.In this paper,we propose a new multiobjective fireworks algorithm for them,which is able to balance exploitation and exploration in the decision space.We first extend a latest single-objective fireworks algorithm to handle MMOPs.Then we make improvements by incorporating an adaptive strategy and special archive guidance into it,where special archives are established for each firework,and two strategies(i.e.,explosion and random strategies)are adaptively selected to update the positions of sparks generated by fireworks with the guidance of special archives.Finally,we compare the proposed algorithm with eight state-of-the-art multimodal multiobjective algorithms on all 22 MMOPs from CEC2019 and several imbalanced distance minimization problems.Experimental results show that the proposed algorithm is superior to compared algorithms in solving them.Also,its runtime is less than its peers'. 展开更多
关键词 Adaptive strategy fireworks algorithm multimodal multiobjective optimization problems(MMOP)
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Multiobjective extremal optimization with applications to engineering design 被引量:3
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作者 CHEN Min-rong LU Yong-zai YANG Gen-ke 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第12期1905-1911,共7页
In this paper, we extend a novel unconstrained multiobjective optimization algorithm, so-called multiobjective extremal optimization (MOEO), to solve the constrained multiobjective optimization problems (MOPs). Th... In this paper, we extend a novel unconstrained multiobjective optimization algorithm, so-called multiobjective extremal optimization (MOEO), to solve the constrained multiobjective optimization problems (MOPs). The proposed approach is validated by three constrained benchmark problems and successfully applied to handling three multiobjective engineering design problems reported in literature. Simulation results indicate that the proposed approach is highly competitive with three state-of-the-art multiobjective evolutionary algorithms, i.e., NSGA-11, SPEA2 and PAES. Thus MOEO can be considered a good alternative to solve constrained multiobjective optimization problems. 展开更多
关键词 multiobjective optimization Extremal optimization (EO) Engineering design
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Hierarchical Algorithms of Large-Scale Systems with Nonseparable Multiobjective
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作者 解三名 吴沧浦 《Journal of Beijing Institute of Technology》 EI CAS 1995年第1期79+73-79,共8页
A class of large-scale hierarchical control systems is considered, the overall objective function is a nonlinear and nonseparable function of multiple quadratic performance indices.The separation strategy of the multi... A class of large-scale hierarchical control systems is considered, the overall objective function is a nonlinear and nonseparable function of multiple quadratic performance indices.The separation strategy of the multiobjective optimization technique and the three-level objective coordination method are applied to the large -sacle systems, and a four-level hierarchical algorithms of optimization control is obtained. 展开更多
关键词 hierarchical system/objective coordination multiobjective optimization
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A multiobjective evolutionary optimization method based critical rainfall thresholds for debris flows initiation 被引量:2
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作者 YAN Yan ZHANG Yu +4 位作者 HU Wang GUO Xiao-jun MA Chao WANG Zi-ang ZHANG Qun 《Journal of Mountain Science》 SCIE CSCD 2020年第8期1860-1873,共14页
At present,most researches on the critical rainfall threshold of debris flow initiation use a linear model obtained through regression.With relatively weak fault tolerance,this method not only ignores nonlinear effect... At present,most researches on the critical rainfall threshold of debris flow initiation use a linear model obtained through regression.With relatively weak fault tolerance,this method not only ignores nonlinear effects but also is susceptible to singular noise samples,which makes it difficult to characterize the true quantization relationship of the rainfall threshold.Besides,the early warning threshold determined by statistical parameters is susceptible to negative samples(samples where no debris flow has occurred),which leads to uncertainty in the reliability of the early warning results by the regression curve.To overcome the above limitations,this study develops a data-driven multiobjective evolutionary optimization method that combines an artificial neural network(ANN)and a multiobjective evolutionary optimization implemented by particle swarm optimization(PSO).Firstly,the Pareto optimality method is used to represent the nonlinear and conflicting critical thresholds for the rainfall intensity I and the rainfall duration D.An ANN is used to construct a dual-target(dual-task)predictive surrogate model,and then a PSO-based multiobjective evolutionary optimization algorithm is applied to train the ANN and stochastically search the trained ANN for obtaining the Pareto front of the I-D surrogate prediction model,which is intended to overcome the limitations of the existing linear regression-based threshold methods.Finally,a double early warning curve model that can effectively control the false alarm rate and negative alarm rate of hazard warnings are proposed based on the decision space and target space maps.This study provides theoretical guidance for the early warning and forecasting of debris flows and has strong applicability. 展开更多
关键词 Debris flow Critical rainfall thresholds multiobjective evolutionary optimization Artificial neural network Pareto optimality
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STABILITY OF MAJORLY EFFICIENT POINTS AND SOLUTIONS IN MULTIOBJECTIVE PROGRAMMING 被引量:2
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作者 GUGUOHUA HUYUDA 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1995年第3期313-324,共12页
In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presellted in two previous papers of Hu. By decomposing the major cone, which is non-poin... In this paper, we obtain some other properties of the majorly efficient points and solutions of the multiobjective optimization presellted in two previous papers of Hu. By decomposing the major cone, which is non-pointed, non-convex and non-closed into a finite union of disjoint strictly supported pointed convex cones, we discuss the continuous perturbations of the decision space. Several sufficient conditions for the continuity of the sets of majorly efficiellt points and solutions are given. 展开更多
关键词 multiobjective optimization STABILITY point-to-set map upper(lower) semicontinuity
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Uncertain multiobjective redundancy allocation problem of repairable systems based on artificial bee colony algorithm 被引量:6
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作者 Guo Jiansheng Wang Zutong +1 位作者 Zheng Mingfa Wang Ying 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第6期1477-1487,共11页
Based on the uncertainty theory, this paper is devoted to the redundancy allocation problem in repairable parallel-series systems with uncertain factors, where the failure rate, repair rate and other relative coeffici... Based on the uncertainty theory, this paper is devoted to the redundancy allocation problem in repairable parallel-series systems with uncertain factors, where the failure rate, repair rate and other relative coefficients involved are considered as uncertain variables. The availability of the system and the corresponding designing cost are considered as two optimization objectives. A crisp multiobjective optimization formulation is presented on the basis of uncertainty theory to solve this resultant problem. For solving this problem efficiently, a new multiobjective artificial bee colony algorithm is proposed to search the Pareto efficient set, which introduces rank value and crowding distance in the greedy selection strategy, applies fast non-dominated sort procedure in the exploitation search and inserts tournament selection in the onlooker bee phase. It shows that the proposed algorithm outperforms NSGA-II greatly and can solve multiobjective redundancy allocation problem efficiently. Finally, a numerical example is provided to illustrate this approach. 展开更多
关键词 Artificial bee colony algorithm multiobjective optimization Redundancy allocation problem Repairable systems Uncertainty theory
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