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An Algorithm for Cloud-based Web Service Combination Optimization Through Plant Growth Simulation
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作者 Li Qiang Qin Huawei +1 位作者 Qiao Bingqin Wu Ruifang 《系统仿真学报》 北大核心 2025年第2期462-473,共12页
In order to improve the efficiency of cloud-based web services,an improved plant growth simulation algorithm scheduling model.This model first used mathematical methods to describe the relationships between cloud-base... In order to improve the efficiency of cloud-based web services,an improved plant growth simulation algorithm scheduling model.This model first used mathematical methods to describe the relationships between cloud-based web services and the constraints of system resources.Then,a light-induced plant growth simulation algorithm was established.The performance of the algorithm was compared through several plant types,and the best plant model was selected as the setting for the system.Experimental results show that when the number of test cloud-based web services reaches 2048,the model being 2.14 times faster than PSO,2.8 times faster than the ant colony algorithm,2.9 times faster than the bee colony algorithm,and a remarkable 8.38 times faster than the genetic algorithm. 展开更多
关键词 cloud-based service scheduling algorithm resource constraint load optimization cloud computing plant growth simulation algorithm
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A Class of Fast Algorithms in Real-Time Simulation 被引量:4
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作者 Zhu Zhenmin & Liu Degui(Beijing Institute of Computer Application and Simulation Technology, 100854, P. R. China)Li Shoufu(Mathematics Department of Xiangtan University, 411105, P. R. China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1999年第4期10-20,共11页
A class of hybrid algorithms of real-time simulation based on evaluation of non-integerstep right-hand side function are presented in this paper. And some results of the convergence and stability of the algorithms are... A class of hybrid algorithms of real-time simulation based on evaluation of non-integerstep right-hand side function are presented in this paper. And some results of the convergence and stability of the algorithms are given. Using the class of algorithms, evaluation for the right-hand side function is needed once in every integration-step. Moreover, comparing with the other methods with the same amount of work, their numerical stability regions are larger and the method errors are smaller, and the numerical experiments show that the algorithms are very effective. 展开更多
关键词 Real-time simulation algorithm Numerical stability CONVERGENCE Dynamic system
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Design and simulation for large parafoil fix line object homing algorithm 被引量:3
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作者 LI Chun 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第9期2276-2283,共8页
Traditional parafoil homing usually uses a point as object. As the mobility of parafoil is limited by its glide ratio and wind, in some cases when the parafoil scatter area is large, or the glide ratio of parafoil is ... Traditional parafoil homing usually uses a point as object. As the mobility of parafoil is limited by its glide ratio and wind, in some cases when the parafoil scatter area is large, or the glide ratio of parafoil is small, the deviation of its landing point to object point will be arduous to control. Accordingly, during these situations, when parafoil is used in recovery of spacecraft or satellite, the landing area of parafoil can be set as a rectangle, and the object of parafoil can be set as a line segment. The thesis of this work is designing an algorithm for parafoil homing using line segment as object. The algorithm of wind velocity and direction calculation in different flying segments was also investigated. The algorithm designed navigates the parafoil to land into the predestined area and largely reduce the probability of recovery loads falling to unwanted area to damage houses and people. 展开更多
关键词 fix line HOMING PARAFOIL algorithm design simulation
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A Class of Parallel Algorithms of Real-TimeNumerical Simulation for Stiff Dynamic System 被引量:2
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作者 Cao Xuenian Liu Degui Li Shoufu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2000年第4期51-58,共8页
In this paper a class of real-time parallel modified Rosenbrock methods of numerical simulation is constructed for stiff dynamic systems on a multiprocessor system, and convergence and numerical stability of these met... In this paper a class of real-time parallel modified Rosenbrock methods of numerical simulation is constructed for stiff dynamic systems on a multiprocessor system, and convergence and numerical stability of these methods are discussed. A-stable real-time parallel formula of two-stage third-order and A(α)-stable real-time parallel formula with o ≈ 89.96° of three-stage fourth-order are particularly given. The numerical simulation experiments in parallel environment show that the class of algorithms is efficient and applicable, with greater speedup. 展开更多
关键词 Dynamic system Real-time simulation Parallel algorithms?
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Effects of different numerical algorithms on simulation of chemical dissolution-front instability in fluid-saturated porous rocks 被引量:3
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作者 ZHAO Chong-bin Bruce HOBBS Alison ORD 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第8期1966-1975,共10页
Many scientific and engineering problems need to use numerical methods and algorithms to obtain computational simulation results because analytical solutions are seldom available for them.The chemical dissolution-fron... Many scientific and engineering problems need to use numerical methods and algorithms to obtain computational simulation results because analytical solutions are seldom available for them.The chemical dissolution-front instability problem in fluid-saturated porous rocks is no exception.Since this kind of instability problem has both the conventional(i.e.trivial)and the unconventional(i.e.nontrivial)solutions,it is necessary to examine the effects of different numerical algorithms,which are used to solve chemical dissolution-front instability problems in fluid-saturated porous rocks.Toward this goal,two different numerical algorithms associated with the commonly-used finite element method are considered in this paper.In the first numerical algorithm,the porosity,pore-fluid pressure and acid/solute concentration are selected as basic variables,while in the second numerical algorithm,the porosity,velocity of pore-fluid flow and acid/solute concentration are selected as basic variables.The particular attention is paid to the effects of these two numerical algorithms on the computational simulation results of unstable chemical dissolution-front propagation in fluid-saturated porous rocks.The related computational simulation results have demonstrated that:1)the first numerical algorithm associated with the porosity-pressure-concentration approach can realistically simulate the evolution processes of unstable chemical dissolution-front propagation in chemical dissolution systems.2)The second numerical algorithm associated with the porosity-velocity-concentration approach fails to simulate the evolution processes of unstable chemical dissolution-front propagation.3)The extra differential operation is the main source to result in the failure of the second numerical algorithm. 展开更多
关键词 numerical algorithm chemical dissolution front instability computational simulation porous rocks
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Marine Predator Algorithm-based Sliding Mode Control of a Novel Motion Simulator for High Column Sloshing Experiments
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作者 DU Zun-feng CHEN Xiang-yu +2 位作者 BAI Hao ZHU Hai-ming HAN Mu-xuan 《船舶力学》 EI CSCD 北大核心 2024年第12期1835-1848,共14页
Sloshing experiment is crucial to determine the reaction performance of regeneration columns on an offshore floating platform.A novel type of column motion simulating device and a Marine Predator Algorithm-based Slidi... Sloshing experiment is crucial to determine the reaction performance of regeneration columns on an offshore floating platform.A novel type of column motion simulating device and a Marine Predator Algorithm-based Sliding Mode Controller(MPA-SMC)are proposed for such sloshing experiments.The simulator consists of a Stewart platform and a steel framework.The Stewart platform is located at the column's center of gravity(CoG)and supported by the steel framework.The platform's hydraulic servo system is controlled by a sliding mode controller with parameters optimized by MPA to improve robustness and precision.A numerical sloshing experiment is conducted using the proposed device and controller.The results show that the novel motion simulator has lower torque during the column sloshes,and the proposed controller performs better than a well-tuned PID controller in terms of target tracking precision and anti-interference capability. 展开更多
关键词 regeneration column sloshing experiment motion simulator Stewart platform sliding mode control marine predator algorithm
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A Mathematical Model of Real-Time Simulation and the Convergence Analysis on Real-Time Runge-Kutta Algorithms 被引量:1
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作者 Song Xiaoqiu, Li Bohu, Liu Degui, Yuan ZhaodingBeijing Institute of Computer Application and Simulation Technology, P. O. Box 142-213, Beijing 100854, China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1991年第1期129-139,共11页
In this paper, a mathematical model of real-time simulation is given, and the problem of convergence on real-time Runge-Kutta algorithms is analysed. At last a theorem on the relation between the order of compensation... In this paper, a mathematical model of real-time simulation is given, and the problem of convergence on real-time Runge-Kutta algorithms is analysed. At last a theorem on the relation between the order of compensation and the convergent order of real-time algorithm is proved. 展开更多
关键词 Real-time simulation Runge-Kutta algorithm Convergence analysis.
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Dynamic self-adaptive ANP algorithm and its application to electric field simulation of aluminum reduction cell 被引量:1
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作者 王雅琳 陈冬冬 +2 位作者 陈晓方 蔡国民 阳春华 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第12期4731-4739,共9页
Region partition(RP) is the key technique to the finite element parallel computing(FEPC),and its performance has a decisive influence on the entire process of analysis and computation.The performance evaluation index ... Region partition(RP) is the key technique to the finite element parallel computing(FEPC),and its performance has a decisive influence on the entire process of analysis and computation.The performance evaluation index of RP method for the three-dimensional finite element model(FEM) has been given.By taking the electric field of aluminum reduction cell(ARC) as the research object,the performance of two classical RP methods,which are Al-NASRA and NGUYEN partition(ANP) algorithm and the multi-level partition(MLP) method,has been analyzed and compared.The comparison results indicate a sound performance of ANP algorithm,but to large-scale models,the computing time of ANP algorithm increases notably.This is because the ANP algorithm determines only one node based on the minimum weight and just adds the elements connected to the node into the sub-region during each iteration.To obtain the satisfied speed and the precision,an improved dynamic self-adaptive ANP(DSA-ANP) algorithm has been proposed.With consideration of model scale,complexity and sub-RP stage,the improved algorithm adaptively determines the number of nodes and selects those nodes with small enough weight,and then dynamically adds these connected elements.The proposed algorithm has been applied to the finite element analysis(FEA) of the electric field simulation of ARC.Compared with the traditional ANP algorithm,the computational efficiency of the proposed algorithm has been shortened approximately from 260 s to 13 s.This proves the superiority of the improved algorithm on computing time performance. 展开更多
关键词 finite element parallel computing(FEPC) region partition(RP) dynamic self-adaptive ANP(DSA-ANP) algorithm electric field simulation aluminum reduction cell(ARC)
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车道偏离预警系统的Carsim/Simulink联合仿真研究
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作者 邹俊逸 聂朝航 +1 位作者 许小伟 严运兵 《机械设计与制造》 北大核心 2025年第4期169-172,177,共5页
考虑车辆行驶偏离过程侧向速度呈非线性变化,利用侧向速度信息将TLC算法和CCP算法融合。基于驾驶员当前状态提出一种联合预警算法,从而解决单一预警算法不同工况下准确度存在较大差异的问题,通过准确识别判断车辆当前状态以降低误警率... 考虑车辆行驶偏离过程侧向速度呈非线性变化,利用侧向速度信息将TLC算法和CCP算法融合。基于驾驶员当前状态提出一种联合预警算法,从而解决单一预警算法不同工况下准确度存在较大差异的问题,通过准确识别判断车辆当前状态以降低误警率。为验证算法有效性,基于Matlab搭建系统模型,并结合Carsim实现联合仿真。仿真结果显示,联合算法较CCP算法提前0.49s触发预警,同时减少了CCP算法存在的漏警情况,较TLC算法误预警率降低了46%,增强了预警系统的自适应性。 展开更多
关键词 车道偏离预警 决策算法 联合仿真 主动安全 驾驶员意图
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State simulation of water distribution networks based on DFP algorithm
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作者 张卉 黄廷林 何文杰 《Journal of Central South University》 SCIE EI CAS 2009年第S1期298-303,共6页
The improved weighted-least-square model was used for state simulation of water distribution networks. And DFP algorithm was applied to get the model solution. In order to fit DFP algorithm,the initial model was trans... The improved weighted-least-square model was used for state simulation of water distribution networks. And DFP algorithm was applied to get the model solution. In order to fit DFP algorithm,the initial model was transformed into a non-constrained optimization problem using mass conservation. Then,through one dimensional optimization and scale matrix establishment,the feasible direction of iteration was obtained,and the values of state variables could be calculated. After several iterations,the optimal estimates of state variables were worked out and state simulation of water distribution networks was achieved as a result. A program of DFP algorithm is developed with Delphi 7 for verification. By running on a designed network,which is composed of 55 nodes,94 pipes and 40 loops,it is proved that DFP algorithm can quickly get the convergence. After 36 iterations,the root mean square of all nodal head errors is reduced by 90.84% from 5.57 to 0.51 m,and the maximum error is only 1.30 m. Compared to Marquardt algorithm,the procedure of DFP algorithm is more stable,and the initial values have less influences on calculation accuracy. Therefore,DFP algorithm can be used for real-time simulation of water distribution networks. 展开更多
关键词 water DISTRIBUTION NETWORK STATE simulation STATE ESTIMATION DFP algorithm
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Optimization Algorithm in the Simulation of Ceramic Grain Growth
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作者 ZENG Zhong-chen 1, JI Guo-li 1, XIONG Zhao-xian 2, LIU Zong-xi 1 (1. Department of Automation, Xiamen University, 2. Department of Materials Science and Engineering, Xiamen University, Xiamen 361005, China) 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第S1期292-,共1页
Optimization Algorithm was developed for the simula ti on of ceramic grain growth at atomistic scale. Based on the coordination informa tion of different atoms, a structure of trident tree was applied to save large q ... Optimization Algorithm was developed for the simula ti on of ceramic grain growth at atomistic scale. Based on the coordination informa tion of different atoms, a structure of trident tree was applied to save large q uantities data, so as to solve the problems of large data information and long r unning time. For every atom a binary tree was firstly formed according to the X coordination of atom. If the values of X coordination were the same, the middle sub-tree of first layer formed then a binary tree according to the Y coordinati on of atom. If the values of Y coordination were also the same, the middle sub- tree of second layer formed then a binary tree according to the Z coordination o f atom. In this way the speed of whole program is enhanced obviously. In order t o reduce memory, in this structure only need to store the exterior atoms’ infor mation, an integer is used to store the interior atoms’ information. If other a toms take up an atom’s all adjacent positions, this atom will be deleted in the data structure, for all the adjacent positions’ atoms, the integer’s relative bit will be set 1 to denote that there is an atom in this position but not be s tored in the trident tree. When an outside atom is deleted, for all the bits tha t are set 1,an atom will be added to the trident tree as an outside atom for the relative positions. And for this new added atom, the integer’s relative bi t of all the adjacent position’s atoms should be set 0 to denote that there is no interior atom in this position. In this way, if there are n 3 atoms, onl y need to store 6n 2 quantity’s atoms’ information. Large quantity of mem ory space can then be saved. 展开更多
关键词 optimization algorithm computer simulation cera mic grain growth
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An Adaptive Simulation Algorithm Based on Fuzzy Stiffness Recognition and Its Application to Power Station Simulation 被引量:1
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作者 Wang Ruifang Automation Department, Chongqing University, 630044, P. R. China Chen Rui Research and Training Center of Locomotive Driving Simulation, Southwest Jiaotong University, Chengdu, P. R. China Xu Song Automation Department, Chongqi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1998年第1期78-82,共5页
The adaptive simulation algorithm (ASA) based on stiffness recognition is an effective and applicable simulation method. In this paper, a principle of the said method is briefly introduced and more importance is stres... The adaptive simulation algorithm (ASA) based on stiffness recognition is an effective and applicable simulation method. In this paper, a principle of the said method is briefly introduced and more importance is stressed in studying the value of its application by realizing it in MMS. 展开更多
关键词 Stiff system simulation algorithm ADAPTIVE Power station simulation Fuzzy stiffness recognition.
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基于Unreal Engine/Simulink的现代控制理论综合实验仿真设计
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作者 方星 闻继伟 +1 位作者 赵顺毅 刘飞 《实验室研究与探索》 北大核心 2025年第7期77-81,共5页
针对现代控制理论课程中对控制算法设计和仿真的教学需求,设计了一套基于Unreal Engine/Simulink的综合实验仿真方案。该方案以无人船为研究对象,要求学生利用小扰动定理建立无人船在平衡点附近的线性模型,并采用经典线性控制算法设计... 针对现代控制理论课程中对控制算法设计和仿真的教学需求,设计了一套基于Unreal Engine/Simulink的综合实验仿真方案。该方案以无人船为研究对象,要求学生利用小扰动定理建立无人船在平衡点附近的线性模型,并采用经典线性控制算法设计控制器,模拟无人船的控制问题。通过Unreal Engine构建虚拟海洋环境,模拟无人船航行、海浪等工况,实时解算无人船状态并传输至Simulink;利用Simulink搭建无人船的控制算法,求解实时控制信号并反馈给Unreal Engine。该综合实验仿真方案有效加深了学生对现代控制理论的理解,培养学生理论联系实际,解决复杂工程问题的能力。 展开更多
关键词 Unreal Engine/simulink联合仿真 现代控制理论 线性控制算法 综合实验仿真 无人船
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基于Plant Simulation的航空综合机加厂房布局仿真研究 被引量:12
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作者 张超 李慧 田恺 《工程设计学报》 CSCD 北大核心 2013年第3期199-207,共9页
科学的生产设置布局规划对航空制造业降低生产成本、提高产品质量尤为重要.以某民用航空发动机传动系统的齿轮和机匣综合加工厂房的规划设计为例,根据厂房设施布置的一般原则,以齿轮和机匣的年产量目标、产品加工工艺、单工艺加工面积... 科学的生产设置布局规划对航空制造业降低生产成本、提高产品质量尤为重要.以某民用航空发动机传动系统的齿轮和机匣综合加工厂房的规划设计为例,根据厂房设施布置的一般原则,以齿轮和机匣的年产量目标、产品加工工艺、单工艺加工面积需求为设计输入,并考虑各加工区的加工特点而带来的位置约束性,采用遗传算法与模拟退火算法相结合的混合遗传算法为优化工具,将特定的功能区固化在基因串特定的位置上来满足位置约束.计算得出优化方案后,以Plant Simulation为仿真平台,建立该综合机加厂房的仿真模型,从产量满足率、设备利用率、在制品库存量和生产线稳健性等多个指标进行了设施布局的仿真评价.结果表明,优化后的系统能够很好满足生产纲领,各关键设备负载比较均衡,同时维持低水平的在制品库存量,且生产线稳健性较好.因此,综合运用混合遗传算法与Plant Simulation仿真可以为生产设施布局问题给出一种有效、直观的解决方案,且由离散事件仿真获取的评价指标能深刻体现方案的优劣. 展开更多
关键词 生产系统 设施布局 混合遗传算法 PLANT simulation
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基于Plant Simulation仿真平台的车间作业排序优化设计 被引量:12
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作者 郭华 刘婷婷 +1 位作者 汪圆 严金凤 《现代制造工程》 CSCD 北大核心 2016年第2期108-112,共5页
提出一种解决车间作业排序问题的、基于工序编码方式在Plant Simulation仿真平台上的优化设计方法,并运用传统的遗传算法对此类问题进行仿真优化。首先,对基于工序编码的方法进行改进,并在Plant Simulation仿真平台中映射实现,应用遗传... 提出一种解决车间作业排序问题的、基于工序编码方式在Plant Simulation仿真平台上的优化设计方法,并运用传统的遗传算法对此类问题进行仿真优化。首先,对基于工序编码的方法进行改进,并在Plant Simulation仿真平台中映射实现,应用遗传算法实现最优的排序方式。最后示例说明了此方法的可行性。该方法简单可行,为解决这类复杂问题提供了一条捷径。 展开更多
关键词 作业排序 仿真优化 遗传算法 PLANT simulation仿真平台
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基于GPS平台的高效k-bisimulation计算算法
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作者 阚忠良 李建中 +1 位作者 徐俊 王宏志 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2018年第5期173-184,共12页
计算图的互模划分在许多应用领域中起着至关重要的作用.图中两个点是互模的当且仅当这两点具有相同的特征.随着图数据规模的增大,传统的运行在单机上的互模划分算法面临着越来越大的挑战,分布式算法以及并行算法则成为提高图计算可扩展... 计算图的互模划分在许多应用领域中起着至关重要的作用.图中两个点是互模的当且仅当这两点具有相同的特征.随着图数据规模的增大,传统的运行在单机上的互模划分算法面临着越来越大的挑战,分布式算法以及并行算法则成为提高图计算可扩展性的重要途径.最近研究人员提出两种基于MapReduce计算模型的分布式互模划分算法,算法均计算图的局部互模划分.采用MapReduce计算模型的分布式互模划分算法具有网络通讯代价高昂的问题,每次MapReduce迭代操作均会将整个图中所有点边的状态通过网络传输,重新为点边分配计算节点,但实际上计算点的局部互模划分特征仅需要局部信息.以此为研究出发点,本文提出了基于分布式图数据处理平台的互模划分算法,仅使用点的局部信息来计算其特征,进而提升计算效率.经过实验验证,本文算法可以大幅度减少算法执行过程中的网络数据传输量.在包含数亿边大图上的实验表明,在未经图的预处理的情况下,本文算法的时间效率提升了7~16倍,有效的解决了MapReduce计算模型带来的网络通讯代价高昂的问题. 展开更多
关键词 互模划分 k-互模划分 图处理系统 分布式算法 大数据
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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 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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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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Effective loading algorithm associated with explicit dynamic relaxation method for simulating static problems 被引量:4
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作者 赵崇斌 彭省临 +2 位作者 刘亮明 HOBBS B E ORD A 《Journal of Central South University》 SCIE EI CAS 2009年第1期125-130,共6页
Based on the fact that a static problem has an equivalent wave speed of infinity and a dynamic problem has a wave speed of finite value, an effective loading algorithm associated with the explicit dynamic relaxation m... Based on the fact that a static problem has an equivalent wave speed of infinity and a dynamic problem has a wave speed of finite value, an effective loading algorithm associated with the explicit dynamic relaxation method was presented to produce meaningful numerical solutions for static problems. The central part of the explicit dynamic relaxation method is to turn a time-independent static problem into an artificial time-dependent dynamic problem. The related numerical testing results demonstrate that: (1) the proposed effective loading algorithm is capable of enabling an applied load in a static problem to be propagated throughout the whole system within a given loading increment, so that the time-independent solution of the static problem can be obtained; (2) the proposed effective loading algorithm can be straightforwardly applied to the particle simulation method for solving a wide range of static problems. 展开更多
关键词 numerical simulation static systems dynamic relaxation loading algorithm
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