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Simulated annealing algorithm for the optimal translation sequence of the jth agent in rough communication 被引量:5
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作者 Wang Hongkai Guan Yanyong Xue Peijun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第3期507-512,共6页
In rough communication, because each agent has a different language and cannot provide precise communication to each other, the concept translated among multi-agents will loss some information and this results in a le... In rough communication, because each agent has a different language and cannot provide precise communication to each other, the concept translated among multi-agents will loss some information and this results in a less or rougher concept. With different translation sequences, the problem of information loss is varied. To get the translation sequence, in which the jth agent taking part in rough communication gets maximum information, a simulated annealing algorithm is used. Analysis and simulation of this algorithm demonstrate its effectiveness. 展开更多
关键词 rough sets rough communication translation sequence OPTIMAL simulated annealing algorithm.
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Using genetic/simulated annealing algorithm to solve disassembly sequence planning 被引量:5
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作者 Wu Hao Zuo Hongfu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第4期906-912,共7页
Disassembly sequence planning (DSP) plays a significant role in maintenance planning of the aircraft. It is used during the design stage for the analysis of maintainability of the aircraft. To solve product disassem... Disassembly sequence planning (DSP) plays a significant role in maintenance planning of the aircraft. It is used during the design stage for the analysis of maintainability of the aircraft. To solve product disassembly sequence planning problems efficiently, a product disassembly hybrid graph model, which describes the connection, non-connection and precedence relationships between the product parts, is established based on the characteristic of disassembly. Farther, the optimization model is provided to optimize disassembly sequence. And the solution methodology based on the genetic/simulated annealing algorithm with binaxy-tree algorithm is given. Finally, an example is analyzed in detail, and the result shows that the model is correct and efficient. 展开更多
关键词 disassembly sequence planning disassembly hybrid graph connection matrix precedence matrix binary-tree algorithms simulated annealing algorithm genetic algorithm.
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Simulated annealing algorithm for detecting graph isomorphism 被引量:4
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作者 Geng Xiutang Zhang Kai 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第5期1047-1052,共6页
Evolutionary computation techniques have mostly been used to solve various optimization problems, and it is well known that graph isomorphism problem (GIP) is a nondeterministic polynomial problem. A simulated annea... Evolutionary computation techniques have mostly been used to solve various optimization problems, and it is well known that graph isomorphism problem (GIP) is a nondeterministic polynomial problem. A simulated annealing (SA) algorithm for detecting graph isomorphism is proposed, and the proposed SA algorithm is well suited to deal with random graphs with large size. To verify the validity of the proposed SA algorithm, simulations are performed on three pairs of small graphs and four pairs of large random graphs with edge densities 0.5, 0.1, and 0.01, respectively. The simulation results show that the proposed SA algorithm can detect graph isomorphism with a high probability. 展开更多
关键词 graph isomorphism problem simulated annealing algorithm nondeterministic polynomial problem local search.
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Simulated annealing spectral clustering algorithm for image segmentation 被引量:3
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作者 Yifang Yang Yuping Wang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2014年第3期514-522,共9页
The similarity measure is crucial to the performance of spectral clustering. The Gaussian kernel function based on the Euclidean distance is usual y adopted as the similarity measure. However, the Euclidean distance m... The similarity measure is crucial to the performance of spectral clustering. The Gaussian kernel function based on the Euclidean distance is usual y adopted as the similarity measure. However, the Euclidean distance measure cannot ful y reveal the complex distribution data, and the result of spectral clustering is very sensitive to the scaling parameter. To solve these problems, a new manifold distance measure and a novel simulated anneal-ing spectral clustering (SASC) algorithm based on the manifold distance measure are proposed. The simulated annealing based on genetic algorithm (SAGA), characterized by its rapid convergence to the global optimum, is used to cluster the sample points in the spectral mapping space. The proposed algorithm can not only reflect local and global consistency better, but also reduce the sensitivity of spectral clustering to the kernel parameter, which improves the algorithm’s clustering performance. To efficiently apply the algorithm to image segmentation, the Nystrom method is used to reduce the computation complexity. Experimental results show that compared with traditional clustering algorithms and those popular spectral clustering algorithms, the proposed algorithm can achieve better clustering performances on several synthetic datasets, texture images and real images. 展开更多
关键词 spectral clustering (SC) simulated annealing (SA) image segmentation Nystr6m method.
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Research on simultaneous localization and mapping for AUV by an improved method:Variance reduction FastSLAM with simulated annealing 被引量:5
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作者 Jiashan Cui Dongzhu Feng +1 位作者 Yunhui Li Qichen Tian 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2020年第3期651-661,共11页
At present,simultaneous localization and mapping(SLAM) for an autonomous underwater vehicle(AUV)is a research hotspot.Aiming at the problem of non-linear model and non-Gaussian noise in AUV motion,an improved method o... At present,simultaneous localization and mapping(SLAM) for an autonomous underwater vehicle(AUV)is a research hotspot.Aiming at the problem of non-linear model and non-Gaussian noise in AUV motion,an improved method of variance reduction fast simultaneous localization and mapping(FastSLAM) with simulated annealing is proposed to solve the problems of particle degradation,particle depletion and particle loss in traditional FastSLAM,which lead to the reduction of AUV location estimation accuracy.The adaptive exponential fading factor is generated by the anneal function of simulated annealing algorithm to improve the effective particle number and replace resampling.By increasing the weight of small particles and decreasing the weight of large particles,the variance of particle weight can be reduced,the number of effective particles can be increased,and the accuracy of AUV location and feature location estimation can be improved to some extent by retaining more information carried by particles.The experimental results based on trial data show that the proposed simulated annealing variance reduction FastSLAM method avoids particle degradation,maintains the diversity of particles,weakened the degeneracy and improves the accuracy and stability of AUV navigation and localization system. 展开更多
关键词 Autonomous underwater vehicle(AUV) SONAR simultaneous localization and mapping(SLAM) simulated annealing FASTSLAM
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Parametric optimization and performance comparison of organic Rankine cycle with simulated annealing algorithm 被引量:3
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作者 王志奇 周乃君 +2 位作者 张家奇 郭静 王晓元 《Journal of Central South University》 SCIE EI CAS 2012年第9期2584-2590,共7页
Taking the ratio of heat transfer area to net power and heat recovery efficiency into account, a multi-objective mathematical model was developed for organic Rankine cycle (ORC). Working fluids considered were R123,... Taking the ratio of heat transfer area to net power and heat recovery efficiency into account, a multi-objective mathematical model was developed for organic Rankine cycle (ORC). Working fluids considered were R123, R134a, R141b, R227ea and R245fa. Under the given conditions, the parameters including evaporating and condensing pressures, working fluid and cooling water velocities were optimized by simulated annealing algorithm. The results show that the optimal evaporating pressure increases with the heat source temperature increasing. Compared with other working fluids, R123 is the best choice for the temperature range of 100--180℃ and R141 b shows better performance when the temperature is higher than 180 ℃. Economic characteristic of system decreases rapidly with the decrease of heat source temperature. ORC system is uneconomical for the heat source temperature lower than 100℃. 展开更多
关键词 parametric optimization organic Rankine cycle simulated annealing algorithm working fluid low-temperature source
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Forecasting of wind velocity:An improved SVM algorithm combined with simulated annealing 被引量:2
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作者 刘金朋 牛东晓 +1 位作者 张宏运 王官庆 《Journal of Central South University》 SCIE EI CAS 2013年第2期451-456,共6页
Accurate forecasting of wind velocity can improve the economic dispatch and safe operation of the power system. Support vector machine (SVM) has been proved to be an efficient approach for forecasting. According to th... Accurate forecasting of wind velocity can improve the economic dispatch and safe operation of the power system. Support vector machine (SVM) has been proved to be an efficient approach for forecasting. According to the analysis with support vector machine method, the drawback of determining the parameters only by experts' experience should be improved. After a detailed description of the methodology of SVM and simulated annealing, an improved algorithm was proposed for the automatic optimization of parameters using SVM method. An example has proved that the proposed method can efficiently select the parameters of the SVM method. And by optimizing the parameters, the forecasting accuracy of the max wind velocity increases by 34.45%, which indicates that the new SASVM model improves the forecasting accuracy. 展开更多
关键词 wind velocity forecasting improved algorithm simulated annealing support vector machine
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Calculation of all-time apparent resistivity of large loop transient electromagnetic method with very fast simulated annealing 被引量:4
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作者 李建慧 朱自强 +2 位作者 冯德山 肖建平 彭凌星 《Journal of Central South University》 SCIE EI CAS 2011年第4期1235-1239,共5页
In large loop transient electromagnetic method(TEM),the late time apparent resistivity formula cannot truly reflect the geoelectric model,thus it needs to define the all-time apparent resistivity with the position inf... In large loop transient electromagnetic method(TEM),the late time apparent resistivity formula cannot truly reflect the geoelectric model,thus it needs to define the all-time apparent resistivity with the position information of measuring point.Utilizing very fast simulated annealing(VFSA) to fit the theoretical electromagnetic force(EMF) and measured EMF could obtain the all-time apparent resistivity of the measuring points in rectangular transmitting loop.The selective cope of initial model of VFSA could be confirmed by taking the late time apparent resistivity of transient electromagnetic method as the prior information.For verifying the correctness,the all-time apparent resistivities of the geoelectric models were calculated by VFSA and dichotomy,respectively.The results indicate that the relative differences of apparent resistivities calculated by these two methods are within 3%.The change of measuring point position has little influence on the tracing pattern of all-time apparent resistivity.The first branch of the curve of all-time apparent resistivity is close to the resistivity of the first layer medium and the last branch is close to the resistivity of the last layer medium,which proves the correctness of the arithmetics proposed. 展开更多
关键词 very fast simulated annealing (VFSA) large loop transient electromagnetic method rectangular loop all-time apparent resistivity
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Classification of hyperspectral remote sensing images based on simulated annealing genetic algorithm and multiple instance learning 被引量:3
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作者 高红民 周惠 +1 位作者 徐立中 石爱业 《Journal of Central South University》 SCIE EI CAS 2014年第1期262-271,共10页
A hybrid feature selection and classification strategy was proposed based on the simulated annealing genetic algonthrn and multiple instance learning (MIL). The band selection method was proposed from subspace decom... A hybrid feature selection and classification strategy was proposed based on the simulated annealing genetic algonthrn and multiple instance learning (MIL). The band selection method was proposed from subspace decomposition, which combines the simulated annealing algorithm with the genetic algorithm in choosing different cross-over and mutation probabilities, as well as mutation individuals. Then MIL was combined with image segmentation, clustering and support vector machine algorithms to classify hyperspectral image. The experimental results show that this proposed method can get high classification accuracy of 93.13% at small training samples and the weaknesses of the conventional methods are overcome. 展开更多
关键词 hyperspectral remote sensing images simulated annealing genetic algorithm support vector machine band selection multiple instance learning
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Optimal control of cobalt crust seabedmining parameters based on simulated annealing genetic algorithm 被引量:2
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作者 夏毅敏 张刚强 +2 位作者 聂四军 卜英勇 张振华 《Journal of Central South University》 SCIE EI CAS 2011年第3期650-657,共8页
Under the condition of the designated collection ratio and the interfused ratio of mullock, to ensure the least energy consumption, the parameters of collecting head (the feed speed, the axes height of collecting hea... Under the condition of the designated collection ratio and the interfused ratio of mullock, to ensure the least energy consumption, the parameters of collecting head (the feed speed, the axes height of collecting head, and the rotate speed) are chosen as the optimized parameters. According to the force on the cutting pick, the collecting size of the cobalt crust and bedrock and the optimized energy consumption of the collecting head, the optimized design model of collecting head is built. Taking two hundred groups seabed microtopography for grand in the range of depth displacement from 4.5 to 5.5 era, then making use of the improved simulated annealing genetic algorithm (SAGA), the corresponding optimized result can be obtained. At the same time, in order to speed up the controlling of collecting head, the optimization results are analyzed using the regression analysis method, and the conclusion of the second parameter of the seabed microtopography is drawn. 展开更多
关键词 cobalt crust mining parameter specific energy consumption simulated annealing genetic algorithm
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Age hardening process modeling and optimization of aluminum alloy A356/Cow horn particulate composite for brake drum application using RSM,ANN and simulated annealing
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作者 Chidozie Chukwuemeka Nwobi-Okoye Basil Quent Ochieze 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2018年第4期336-345,共10页
Most conventional ceramic based aluminum metal matrix composites(MMCs) are either heavy,costly or combination of both. In order to reduce cost and weight,while at the same time maintaining quality,cow horn particles(C... Most conventional ceramic based aluminum metal matrix composites(MMCs) are either heavy,costly or combination of both. In order to reduce cost and weight,while at the same time maintaining quality,cow horn particles(CHp) was used with aluminum alloy A356 to produce MMC for brake drum application and other engineering uses. The aim of this research is to model the age hardening process of the produced composite using response surface methodology(RSM) and artificial neural network(ANN),and to use the developed ANN as fitness function for a simulated annealing optimization algorithm(SA-NN system) for optimization of age hardening process parameters. The results show that ANN modeled the age hardening data excellently and better than RSM with a correlation coefficient of experimental response with ANN predictions being 0.9921 as against 0.9583 for the RSM. The SA-NN system optimized process parameters were in very close agreement with the experimental values with the maximum relative error of 1.2%,minimum of 0.35% and average of 0.71%. 展开更多
关键词 Artificial neural network Response surface methodology simulated annealing Age HARDENING Metal matrix composite
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Time -Sharing Power Supply Optimal Decision forElectrolytic Deposition Process of Zinc Based onSimulated Annealing Algorithm
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作者 Huang Taisong Gui Weihua +1 位作者 Wang Yalin Yang Chunhua 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2000年第4期43-50,共8页
According to time-sharing valuation principle (TSVP) of power supply, the relationships of current density and current efficiency at different acidities are obtained based on the processed data of electrolytic deposit... According to time-sharing valuation principle (TSVP) of power supply, the relationships of current density and current efficiency at different acidities are obtained based on the processed data of electrolytic deposition process of zinc (EDPZ) with the least square method (LSM). Thus an optimal model of time-sharing power supply system for EDPZ is established, which has been optimized by use of an improved efficient simulated annealing algorithm (SAA). Practical results show that industrial and mining enterprises can obtain enormous economic benefits every year. 展开更多
关键词 ALGORITHMS Current density ELECTRODEPOSITION Least squares approximations Mathematical models Optimization simulated annealing
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Design of Vehicle Routing by Integrating Optimization and Simulated Annealing Approach
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作者 Chwen-Tzeng Su Chikong Hwang 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期-,共2页
The vehicle routing problem (VRP) can be described as the problem of designing the optimal delivery or collection routes from one or several depots to a number of geographically scattered customers, subject to load co... The vehicle routing problem (VRP) can be described as the problem of designing the optimal delivery or collection routes from one or several depots to a number of geographically scattered customers, subject to load constraints. The routing decision involves determining which of the demand s will be satisfied by each vehicle and what route each vehicle will follow in s erving its assigned demand in order to minimize total delivery cost. In this pap er, a methodology for the design of VRP by integrating optimization and simulate d annealing (SA) approach is presented hierarchically. To express the problem of vehicle routing, a new mathematical formulation is first conducted. The objecti ve function involves both the delivery cost and the vehicle acquisition cost wit h load constraints. A heuristic is then proposed to solve this problem by using SA procedure in conjunction with any solution procedure of travelling salesman p roblem (TSP). The initial configuration is arranged as one vehicle route ser ving one customer. The SA searching procedure is then developed to combine custo mer to any one of the vehicle routes existed in the system if the capacity and c ost are attractive. An important concept of this proposed heuristic is that it attempts to minimize total number of vehicle required in the system on the b asis of the fixed cost and the variable cost view points. In addition, this appr oach can be easily adapted to accommodate many additional problem complexities. 展开更多
关键词 Vehicle Routing Problem Travelling Salesman Prob lem simulated annealing procedure OPTIMIZATION
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Finite element simulation and microstructure of two-pass inner spinning process of curved-generatrix cone cylindrical parts with annealing/quenching 被引量:2
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作者 HAO Zeng-liang YANG Zhe-yi) +3 位作者 WEI Wei LIU Lei LUO Jun-ting LIU Jin-heng 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第12期3305-3314,共10页
A two-pass annealing/quenching internal spinning process with small-end rotations is proposed to form a curved generatrix conical thin-walled shell.That is,annealing at 360°C for 2 h followed by the 1st pass spin... A two-pass annealing/quenching internal spinning process with small-end rotations is proposed to form a curved generatrix conical thin-walled shell.That is,annealing at 360°C for 2 h followed by the 1st pass spinning,and finally quenching in ice water after holding for 1 h at 498°C followed by the 2nd pass spinning.ABAQUS finite element software is used to simulate the internal spinning process of the products formed under different forming parameters.The distribution laws of spinning force,the stress and strain under different forming processes were compared and analyzed.The mechanical properties and microstructure of the products are subsequently analyzed.The results show that the strain and the residual stress in the skin area of the formed products under two-pass spinning process more uniform,and the hardness and the mechanical performance are improved.The microstructure of the products formed with the 0.15 mm thickness reduction at the 2nd pass is excellent.And the second phase grain size distributed uniformly in the range of 36μm.Whereas,the second phase particles are broken seriously and the size distribution inhomogeneity is increased when the thickness reduction in the skin area is greater than 0.20 mm at the 2nd pass spinning process. 展开更多
关键词 curved generatrix conical internal spinning process annealing/quenching small-end rotations finite element simulation
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Identification of Subset Autoregressive Model Using Simulaated Annealing
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作者 Zhu Xiangyang & Zhong Binglin Department of Mechanical Engineering, Southeast University, Nanjing 210096, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1997年第3期43-50,共8页
This paper deals with identification of subset autoregressive time series model. A simulated annealing based on approach for deter min ing the optimal subset of regression terms included in the subset autogressive m... This paper deals with identification of subset autoregressive time series model. A simulated annealing based on approach for deter min ing the optimal subset of regression terms included in the subset autogressive model is introduced. Numerical examples are given to show the effectiveness of the proposed algorithm. 展开更多
关键词 Subset autogressive model IDENTIFICATION simulated annealing.
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Overview of multi-objective optimization methods 被引量:2
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作者 LeiXiujuan ShiZhongke 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2004年第2期142-146,共5页
To assist readers to have a comprehensive understanding, the classical and intelligent methods roundly based on precursory research achievements are summarized in this paper. First, basic conception and description ab... To assist readers to have a comprehensive understanding, the classical and intelligent methods roundly based on precursory research achievements are summarized in this paper. First, basic conception and description about multi-objective (MO) optimization are introduced. Then some definitions and related terminologies are given. Furthermore several MO optimization methods including classical and current intelligent methods are discussed one by one succinctly. Finally evaluations on advantages and disadvantages about these methods are made at the end of the paper. 展开更多
关键词 multi-objective optimization objective function Pareto optimality genetic algorithms simulated annealing fuzzy logical.
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Control parameter optimal tuning method based on annealing-genetic algorithm for complex electromechanical system 被引量:1
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作者 贺建军 喻寿益 钟掘 《Journal of Central South University of Technology》 2003年第4期359-363,共5页
A new searching algorithm named the annealing-genetic algorithm(AGA) was proposed by skillfully merging GA with SAA. It draws on merits of both GA and SAA ,and offsets their shortcomings.The difference from GA is that... A new searching algorithm named the annealing-genetic algorithm(AGA) was proposed by skillfully merging GA with SAA. It draws on merits of both GA and SAA ,and offsets their shortcomings.The difference from GA is that AGA takes objective function as adaptability function directly,so it cuts down some unnecessary time expense because of float-point calculation of function conversion.The difference from SAA is that AGA need not execute a very long Markov chain iteration at each point of temperature, so it speeds up the convergence of solution and makes no assumption on the search space,so it is simple and easy to be implemented.It can be applied to a wide class of problems.The optimizing principle and the implementing steps of AGA were expounded. The example of the parameter optimization of a typical complex electromechanical system named temper mill shows that AGA is effective and superior to the conventional GA and SAA.The control system of temper mill optimized by AGA has the optimal performance in the adjustable ranges of its parameters. 展开更多
关键词 GENETIC ALGORITHM simulated annealing ALGORITHM annealing-genetic ALGORITHM complex electro-mechanical system PARAMETER tuning OPTIMAL control
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A Personified Annealing Algorithm for Circles Packing Problem 被引量:5
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作者 ZHANGDe-Fu LIXin 《自动化学报》 EI CSCD 北大核心 2005年第4期590-595,共6页
Circles packing problem is an NP-hard problem and is di?cult to solve. In this paper, ahybrid search strategy for circles packing problem is discussed. A way of generating new configurationis presented by simulating t... Circles packing problem is an NP-hard problem and is di?cult to solve. In this paper, ahybrid search strategy for circles packing problem is discussed. A way of generating new configurationis presented by simulating the moving of elastic objects, which can avoid the blindness of simulatedannealing search and make iteration process converge fast. Inspired by the life experiences of people,an e?ective personified strategy to jump out of local minima is given. Based on the simulatedannealing idea and personification strategy, an e?ective personified annealing algorithm for circlespacking problem is developed. Numerical experiments on benchmark problem instances show thatthe proposed algorithm outperforms the best algorithm in the literature. 展开更多
关键词 包装问题 模拟技术 退火算法 弹性物体
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Application of camera calibrating model to space manipulator with multi-objective genetic algorithm
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作者 王中宇 江文松 王岩庆 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第8期1937-1943,共7页
The multi-objective genetic algorithm(MOGA) is proposed to calibrate the non-linear camera model of a space manipulator to improve its locational accuracy. This algorithm can optimize the camera model by dynamic balan... The multi-objective genetic algorithm(MOGA) is proposed to calibrate the non-linear camera model of a space manipulator to improve its locational accuracy. This algorithm can optimize the camera model by dynamic balancing its model weight and multi-parametric distributions to the required accuracy. A novel measuring instrument of space manipulator is designed to orbital simulative motion and locational accuracy test. The camera system of space manipulator, calibrated by MOGA algorithm, is used to locational accuracy test in this measuring instrument. The experimental result shows that the absolute errors are [0.07, 1.75] mm for MOGA calibrating model, [2.88, 5.95] mm for MN method, and [1.19, 4.83] mm for LM method. Besides, the composite errors both of LM method and MN method are approximately seven times higher that of MOGA calibrating model. It is suggested that the MOGA calibrating model is superior both to LM method and MN method. 展开更多
关键词 space manipulator camera calibration multi-objective genetic algorithm orbital simulation and measurement
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“碳减排”视域下内河流域梯级枢纽联合通航调度优化 被引量:1
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作者 高攀 方志伟 赵旭 《西南交通大学学报》 北大核心 2025年第2期308-316,共9页
为解决梯级枢纽联合通航调度中船闸运行规则不统一、船舶调度不同步等问题,以船舶综合通航效率、待闸成本和碳排放为决策目标,构建考虑船舶优先级的多维非线性规划(MDNP)模型;随后,拟用改进的回溯多目标模拟退火算法(IBMOSA)对MDNP进行... 为解决梯级枢纽联合通航调度中船闸运行规则不统一、船舶调度不同步等问题,以船舶综合通航效率、待闸成本和碳排放为决策目标,构建考虑船舶优先级的多维非线性规划(MDNP)模型;随后,拟用改进的回溯多目标模拟退火算法(IBMOSA)对MDNP进行求解,提出梯级枢纽联合调度的优化方案;最后,以“三峡-葛洲坝”梯级枢纽为例,验证MDNP模型与IBMOSA的有效性与可靠性.结果表明:MDNP模型能够有效兼顾船舶通航效率和公平性,且IBMOSA具有较好的收敛性和全局性;通过编制协同排闸计划,对各船闸闸次安排进行合理布局,可规避梯级船闸的倒闸现象,减少船舶整体过坝时间;与原始调度方案相比,联合调度方案对3个决策目标的优化效率均接近40%,梯级枢纽通航拥堵缓解率约为16%,有效化解了梯级枢纽间的通航矛盾,提升了三峡水域的整体通航效益. 展开更多
关键词 交通管理 联合调度 梯级枢纽 模拟退火
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