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Full-Text Articles in Systems Science

Infrared Scene Generation Technology Based On Hardware-In-The-Loop Simulation Of Mos Resistance Arrays, Shanjun Tang, Minmin Song, Biyun Wang, Zhang Yu Jan 2019

Infrared Scene Generation Technology Based On Hardware-In-The-Loop Simulation Of Mos Resistance Arrays, Shanjun Tang, Minmin Song, Biyun Wang, Zhang Yu

Journal of System Simulation

Abstract: To simulate the dynamic infrared scene of infrared guided missile in the hardware-in-the-loop simulation, the researches on the modeling of the target, background and flare and the simulation using MOS resistance arrays are carried out. The infrared countermeasure scene which is applicable to the hardware-in-the-loop simulation is generated by the modeling software, and the infrared radiation model and motion model of the typical target, background and flare are established. The models are verified and corrected by the investigated data of the current main fighters and their infrared flares. The dynamic infrared scene is simulated according to the infrared scene …


Modeling And Simulation On Delay Of Central Heating System For Temperature Prediction, Sun Tao, Shaoxiong Ji Jan 2019

Modeling And Simulation On Delay Of Central Heating System For Temperature Prediction, Sun Tao, Shaoxiong Ji

Journal of System Simulation

Abstract: Heating prediction is essential for energy saving. However, it is difficult to some extent because the central heating system (CHS) is nonlinear with large-scaled delay and other characteristics. Based on physical laws of the CHS, a novel model combining pruning algorithm with the least mean square is proposed to solve the problem of delay and predict the temperature. The model with the delay taking into consideration conforms to the law of thermal transmission. The pruning algorithm lowers the computational complexity. Simulations using gradient descent least squared regression (LSR), support vector machine (SVM), least-squared support vector machine (LS-SVM) …


Decision-Making Simulation Of Farmers’ Safe Production Behavior, Cui Li, Liping Luo Jan 2019

Decision-Making Simulation Of Farmers’ Safe Production Behavior, Cui Li, Liping Luo

Journal of System Simulation

Abstract: Farmers' production behavior is the source of quality and safety of agricultural products,and the primary task to control the quality and safety of agricultural products is to research the factors affecting farmers’ behavior for safe production. We explored the factors influencing farmers’ decision-making for safe production behavior based on the theory of planned behavior and established the model of farmers' decision-making for safe production behavior based on cost-benefit theory. The model which was simulated and analyzed revealed the specific impact on farmers' safe production behavior decision from every influence factor in the quantitative point of view. Results …


Simulation Of Two Stages-Variant Growth Evolution Model Of High-Speed Railway And Civil Aviation Compound Network, Xu Feng, Jinfu Zhu, Jianjun Miao, Rongrong Ding Jan 2019

Simulation Of Two Stages-Variant Growth Evolution Model Of High-Speed Railway And Civil Aviation Compound Network, Xu Feng, Jinfu Zhu, Jianjun Miao, Rongrong Ding

Journal of System Simulation

Abstract: Combining the special evolving characteristics of the high-speed railway and civil aviation compound network, an evolution model which has two stages with variant growth mechanism and variable parameters is constructed, and the rationality of the model is verified through mathematical simulation. The model divides the evolutionary process into two stages: the stage of single-point growth pattern, and the stage of variant and alternant growth pattern. The probability of two sub-networks’ random and commutative growth could be controlled by changing the parameters’ values, and then the evolving rhythm and scale of the compound network could be adjusted. The simulation results …


Real-Time Pricing Strategy Considering The Risk Of Smart Grid, Hongbo Zhu, Gao Yan, Yeming Dai Jan 2019

Real-Time Pricing Strategy Considering The Risk Of Smart Grid, Hongbo Zhu, Gao Yan, Yeming Dai

Journal of System Simulation

Abstract: The real-time electricity price mechanism is an ideal method to adjust the power balance between supply and demand in smart grid. Its implementation has profound impacts on the users' behavior and the operation and management of electricity power grid’s safety. The users’ demand behavior plays a regulatory role in designing real-time electricity pricing strategy. Aiming at maximizing social welfare, the dynamic change of users’ aggregate demand is analyzed, which corrects the electricity risk items in online real-time risk model in the way of changing the individual user’s power fluctuations to all the users’ demand power fluctuations, and the optimization …


Vibration Performance Prediction And Reliability Analysis For Bearings, Xintao Xia, Chang Zhen, Yunfei Li Jan 2019

Vibration Performance Prediction And Reliability Analysis For Bearings, Xintao Xia, Chang Zhen, Yunfei Li

Journal of System Simulation

Abstract: The bearing vibration signal contains a large amount of information involved in degradation of spindle system. The adding-weight one-rank local-region method is used to predict the vibration time series for bearing, and the forecasting error can be obtained by comparing and analyzing the prediction values with the actual values so as to verify the feasibility of the model. The prediction results of the future state for the bearing are processed by grey bootstrap method, and the vibration thresholds are given by the requirements of the spindle system on the bearing vibration performance. The performance reliability prediction of the bearing …


Modeling And Simulation Of Pid Networked Control Systems Based On Neural Network, Zhanzhi Qiu, Shifeng Li Jan 2019

Modeling And Simulation Of Pid Networked Control Systems Based On Neural Network, Zhanzhi Qiu, Shifeng Li

Journal of System Simulation

Abstract: According to the problems of the delay compensation and PID parameters tuning of networked control systems, a class of rapid PID networked control systems based on improved BP network was proposed. Considering the problems of obtaining hidden layer nodes number and local optimum of the BP network delay prediction model, a calculation method was proposed to obtain hidden layer nodes number, and an improved genetic algorithm was proposed to train the BP network. Considering the problems of integral saturation, parameters tuning and model mismatch of the PID network control systems, a PID parameter adjuster was designed based on …


L2-Gain Robust Control For Flexible Joints And Flexible Link Space Robot, Lijiao Zhang, Chen Li Jan 2019

L2-Gain Robust Control For Flexible Joints And Flexible Link Space Robot, Lijiao Zhang, Chen Li

Journal of System Simulation

Abstract: The trajectory tracking and the double flexible vibration active suppression control for free-floating space robot with flexible-joints and flexible-link were proposed. The dynamic equation of the system was established according to system’s momentum conservation and Lagrange method. A singular perturbation model was established by integral manifold method, and the system was decomposed into a fast subsystem of flexible-joint which used the speed difference between the feedbacks of control law to suppress the elastic vibration of flexible-joints, a fast subsystemof flexible-link which designed optimal linear quadratic regulator (LQR) to damp out the vibration of the flexible manipulator and …


Pmsm Parameter Identification Using Teaching-Learning-Based Optimization With Levy Flight, Jinbao Chen, Li Jie, Wang Yan, Zhicheng Ji Jan 2019

Pmsm Parameter Identification Using Teaching-Learning-Based Optimization With Levy Flight, Jinbao Chen, Li Jie, Wang Yan, Zhicheng Ji

Journal of System Simulation

Abstract: High precision parameters are the key for permanent magnet synchronous motor to realize high performance control. To overcome the shortages of slow speed and low identification accuracy in traditional identification methods, a novel teaching-learning-based optimization algorithm with Levy flight is proposed to identify the PMSM parameters. The algorithm introduces adaptive teaching factor and self-learning strategy to improve the convergence speed. As for learning phase, a Levy flight stochastic process is introduced to improve the optimization strategy so that the algorithm can enhance the ability to keep the balance between exploration and exploitation. The simulation results show that the novel …


Improved Bp Neural Network Of Heat Load Forecasting Based On Temperature And Date Type, Li Qi, Zhao Feng Jan 2019

Improved Bp Neural Network Of Heat Load Forecasting Based On Temperature And Date Type, Li Qi, Zhao Feng

Journal of System Simulation

Abstract: The heat load forecasting provides data support for urban district heating systems, which is the basis of need-based heating. The change of heat load is greatly influenced by various exterior factors, especially the outdoor temperature. To meet demand of heating system, save energy and balance the comfort of human body, a kind of improved BP neural network method is proposed by temperature and date type. The temperature and date type are quantified and the heat load forecasting model is established by using BP neural network. To guarantee prediction accuracy, the genetic algorithm is used to optimize the weights and …


Simulation And Experimental Research On Real-Time Nurbs Interpolator For Industrial Robot, Zhang Tie, Wentao Gong, Yanbiao Zou Jan 2019

Simulation And Experimental Research On Real-Time Nurbs Interpolator For Industrial Robot, Zhang Tie, Wentao Gong, Yanbiao Zou

Journal of System Simulation

Abstract: A real-time non uniform rational B-spline (NURBS) path interpolator with look-ahead algorithm for six-axis industrial robot is investigated. The algorithm consists of two modules: the global interpolation of the NURBS, and the look-ahead interpolator. The parametric equation of NURBS is built based on the parameter u and v, and the smooth NURBS curve is achieved from several teaching points. The velocity constraint equations are introduced initially based on chord error and centripetal acceleration, and the look-ahead velocity plan and the interpolator are investigated. The current strategy is compared with the trapezoidal acceleration and deceleration interpolator in a real-time controller …


Finite Element Analysis Of Magnetic Flux Leakage Detection For Transverse Cracks Of Sucker Rod, Zhang Ou, Xueye Wei, Wang Pei, Shuxin Yan Jan 2019

Finite Element Analysis Of Magnetic Flux Leakage Detection For Transverse Cracks Of Sucker Rod, Zhang Ou, Xueye Wei, Wang Pei, Shuxin Yan

Journal of System Simulation

Abstract: The modeling and testing technology of the surface transverse cracks of complex defecting for sucker rod were studied, and a finite element simulation model of rod transverse defects was built. The magnetic flux leakage testing simulation was carried out by using ANSYS software, and the changing trend between the lift-off value and the leakage magnetic field was obtained. Two kinds of different magnetization modes of single coil and double coils were analyzed, and the result showed that the double coils magnetization is superior to single coil magnetization. The two dimensional and three dimensional magnetic flux leakage testing …


Counterforce Characteristics Of Shrapnel In Magnetic Latching Relay Based On Abaqus, Xiuping Su, Jiaying Dong, Yanhua Qiao, Huang Min Jan 2019

Counterforce Characteristics Of Shrapnel In Magnetic Latching Relay Based On Abaqus, Xiuping Su, Jiaying Dong, Yanhua Qiao, Huang Min

Journal of System Simulation

Abstract: A 3D model of contact system in magnetic latching relay was established by the software Pro/E, and the shrapnel deformation by force was analyzed in the contact system using finite element analysis software Abaqus. The advantages of Abaqus software in the multibody system simulation were analyzed and summarized, a modeling and simulation approach to contact multibody system in magnetic latching relay based on Abaqus was proposed. The selection of element type, technology of mesh division, definition of boundary condition, and establishment of finite element model were studied. The non-convergence problems were solved in the simulation analysis by adding binding …


Prediction Of Aircraft Cabin Energy Consumption Based On Improved Cooperative Pso Neural Network, Xiuyan Wang, Yanmin Liu, Gewen Zhang, Zongshuai Li, Jiaquan Lin Jan 2019

Prediction Of Aircraft Cabin Energy Consumption Based On Improved Cooperative Pso Neural Network, Xiuyan Wang, Yanmin Liu, Gewen Zhang, Zongshuai Li, Jiaquan Lin

Journal of System Simulation

Abstract: To correctly evaluate the energy needs of the aircraft cabin and to predict the energy consumption of the aircraft cabin with higher accuracy, an energy consumption prediction method based on improved particle swarm optimization (PSO) neural network algorithm parameters is proposed. The method combines the cooperative particle swarm optimization algorithm with chaotic particle swarm optimization algorithm. On the basis of cooperative particle swarm optimization algorithm chaos theory is introduced. Continuous search ability by using chaos optimization method to overcome the collaborative optimization algorithm is easy to fall into the local extremum problem. The parameters of the neural network can …


Ultra-Short-Term Wind Power Forecasting Based On Ceemd And Chaos Theory, Lijie Wang, Zhang Li, Zhang Yan Jan 2019

Ultra-Short-Term Wind Power Forecasting Based On Ceemd And Chaos Theory, Lijie Wang, Zhang Li, Zhang Yan

Journal of System Simulation

Abstract: This paper studies the ultra-short-term prediction of wind power generating capacity by means of CEEMD and chaos theory. Wind power time series is decomposed by CEEMD to decrease the non-stationary of time series. CEEMD can overcome the modal aliasing problem of EMD. The phase space reconstruction method is used to extract characteristics of each sequence, which provides the basis for the selection of input dimension when building a model. The least squares support vector machine models are built for each sequence and the prediction are made separately. The predicted results are added to get the final prediction. Simulation is …


Simulation Study On Cutting Force Of Sicp /Al Composite, Jinfeng Wang, Jiulan Zhao, Kaiyu Chu Jan 2019

Simulation Study On Cutting Force Of Sicp /Al Composite, Jinfeng Wang, Jiulan Zhao, Kaiyu Chu

Journal of System Simulation

Abstract: This paper studies the formation mechanism of cutting force of SiCp / Al composite based on the processing parameters from the turning experiment, and explains the effect of cutting parameters on the cutting force of SiCp/Al composite such as cutting speed and cutting depth. To further investigate the influence of cutting parameters on cutting force, this paper conducts cutting force simulation of SiCp/Al composite based on ABAQUS, and verifies the accuracy and feasibility of the simulation by comparing with turning experimental results. The S/N ratio and variance of cutting force are analyzed using Taguchi methods. The results show that …


Comparative Study Of Photovoltaic Islanding Detection Based On Sms And Afd, Yunjun Yu, Guoying Zhong, Ruixiang Fan, Qingzhao Ji, Jianyong Zhu Jan 2019

Comparative Study Of Photovoltaic Islanding Detection Based On Sms And Afd, Yunjun Yu, Guoying Zhong, Ruixiang Fan, Qingzhao Ji, Jianyong Zhu

Journal of System Simulation

Abstract: There are many islanding detection methods, especially the active islanding detection method. It is difficult to choose the best method among so many active islanding detection methods in practice. In this paper, the non-detection zone (NDZ), detection speed and their effect to power quality of slide-mode frequency shift (SMS) method and active frequency drift (AFD) were researched. The results show that SMS is superior to AFD at the aspect of the effect on power quality when they have same NDZ. While the detection speed of SMS has big difference under different parameters. The Islanding detection model was built …


Power Control Algorithm Based On Non-Cooperative Game Theory Of Wbans, Xu Yong, Mengya Ke, Fen Liu, Qianming Zha Jan 2019

Power Control Algorithm Based On Non-Cooperative Game Theory Of Wbans, Xu Yong, Mengya Ke, Fen Liu, Qianming Zha

Journal of System Simulation

Abstract: A non-cooperative self-adaptive power control algorithm is proposed based on the model of TDMA wireless body area networks (WBANs) interference. The algorithm is put forward using payoff function and cost function as utility functions.The transmitting power vector is obtained by the optimal response strategy update. It is proved that the network can reach Nash Equilibrium with the transmitting power vector, and in this situation all the users utility function is maximized. The Matlab is applied to simulation process of the algorithm, during which simulation has been carried out with different parameters. Compared with …


Dynamic Data Modeling Driven Model For Forest Fire Spread Based On Devs, Guoxiong Zhou, Kejia Yin, Aibin Chen Jan 2019

Dynamic Data Modeling Driven Model For Forest Fire Spread Based On Devs, Guoxiong Zhou, Kejia Yin, Aibin Chen

Journal of System Simulation

Abstract: According to the characteristics of fire behavior with strong sudden, disposal of difficult rescue, and heavy destructiveness, combining dynamic data system and discrete event system specification model, a dynamic data driven forest fire spread model is put forward based on devs modeling. The dynamic data system needs to be realized through the interaction between the computer software and the data characteristics of each environment, which is characterized by flexible data and real data. DEVS supports object-oriented modeling, and can make the modeling and simulation of the system modular, hierarchical and formal. The model is set up according to the …


Study On Evacuation Modeling Of Airport Based On Social Force Model, Shaobo Zhong, Zhichen Yu, Yongsheng Yang, Sun Chao, Quanyi Huang Jan 2019

Study On Evacuation Modeling Of Airport Based On Social Force Model, Shaobo Zhong, Zhichen Yu, Yongsheng Yang, Sun Chao, Quanyi Huang

Journal of System Simulation

Abstract: Public safety events frequently occurred in China and caused great casualty and property loss. Inefficient evacuation is one of the major causes of casualties in emergencies. Taking the T3-E of the Beijing Capital International Airport as a study area, the influence of four factors of evacuation guidance, customs barriers, the airport seats, and construction columns studies is studied through social force model-based simulation. The results show that: four factors have local effects on evacuation respectively. Evacuation guidance has the most significant positive effect while others have a little significant negative effect. Moreover, the relationships between the maximal and optimal …


Public Opinion Evolution And Intervention From Perspective Of Public’S Social Responsibility, Qinghua Song, Jianhong Chen Jan 2019

Public Opinion Evolution And Intervention From Perspective Of Public’S Social Responsibility, Qinghua Song, Jianhong Chen

Journal of System Simulation

Abstract: According to the theory of planned behavior and stages of information spreading behavior, public opinion evolution mechanisms are analyzed from the perspective of public’s social responsibility (SR). Stability of public opinion evolution system is influenced by four kinds of information spreading bodies. Corresponding information spreading paths interact each other while they are relatively independent, which makes stability of the four paths show complexity features. Publishing positive information timely, decreasing population proportion of group ignoring SR and decreasing population proportion of group lack of SR are effective measures of reducing intensity of public opinion evolution and severity of public opinion …


Modeling For Security Protection Capability Of Information System Based On Cpn, Qiangjun Chen, Mingqing Zhang, Hongshan Kong, Xiaohu Liu, Lianjie Shao Jan 2019

Modeling For Security Protection Capability Of Information System Based On Cpn, Qiangjun Chen, Mingqing Zhang, Hongshan Kong, Xiaohu Liu, Lianjie Shao

Journal of System Simulation

Abstract: Modeling plays an important role in assessment for security protection capability. Oriented to the features that evaluation has many methods which update quickly, the analysis frame is proposed based on detect, analyse and respond. Aimed at the problems that it is difficult to model the intelligent learning and coordination process for protective device, analysis model is built based on CPN. The colors of message color sets represent the different properties of events. Detect, analysis and respond components which represent different process of security protection capability are defined. Two theorems are proved, and model complexity is analyzed. The usability …


Application Of Compound Control For Flight Simulator With Eid Estimator, Ren Yan, Guanhua Zhao, Wenbo Tan, Xiaodong Liu Jan 2019

Application Of Compound Control For Flight Simulator With Eid Estimator, Ren Yan, Guanhua Zhao, Wenbo Tan, Xiaodong Liu

Journal of System Simulation

Abstract: In view of the problem that the interference and nonlinear friction sensitively effect on flight simulators, an improved approximation differential compound control strategy with Equivalent Input Disturbance (EID) estimator is presented. Moreover, the setting conditions based on given parameters was proposed. In the presented strategy, the EID estimator can compensate the equivalent input disturbance of the system. Furthermore, owing to the construction of the digital feedforward via the improved differentiator, the improved approximation differentiator is able to acquire accurately the velocity and the acceleration of the signal, and has an ability to inhibit the partial noise by use of …


Research On Performance Validation Of Aircraft Based On Air-Table, Haolong Zhang, Liao Xin, Bin Li, Wenshu Wei, Pei Yin, Junpeng Hui Jan 2019

Research On Performance Validation Of Aircraft Based On Air-Table, Haolong Zhang, Liao Xin, Bin Li, Wenshu Wei, Pei Yin, Junpeng Hui

Journal of System Simulation

Abstract: Aiming at the main issues in performance validation of aircraft, this paper applied air-bearing test technology into the area of performance validation of aircraft, designed and established performance validation system of aircraft based on air-bearing. A kind of theory of space scale model was proposed and the mapping relation between air-bearing space and real space was solved. This research provided a new technical approach for performance validation of aircraft. This system has been successfully applied to a kind of aircraft simulation. The Effectiveness and accuracy are verified.


Visual Simulation Of Aircraft Approach And Landing System Based On Beidou, Ruihua Liu, Cao Hui Jan 2019

Visual Simulation Of Aircraft Approach And Landing System Based On Beidou, Ruihua Liu, Cao Hui

Journal of System Simulation

Abstract: In order to analyze the navigation performance of Ground-Based Augmentation System (GBAS) based on Beidou satellite navigation system (BDS) in approach and landing phase, segments of ground, airborne and space were simulated as GBAS. The broadcast ephemeris data was processed by MATLAB to simulate the BDS constellation and the orbit operation. Based on the minimum operational standards for GBAS released by RTCA, the data model of ground segment and airborne segment were established, and the enhancement algorithm was simulated to analyze the positioning error and navigation performance of BDS. Simulink kinematic and control models were developed to simulate the …


Research On Sensorless Control Method Based On Improved Kalman Filter Of Sliding Mode Observer, Haigang Zhang, Yuanyuan Nie, Zhang Lei, Bulai Wang, Yinzhong Ye, Wan Heng Jan 2019

Research On Sensorless Control Method Based On Improved Kalman Filter Of Sliding Mode Observer, Haigang Zhang, Yuanyuan Nie, Zhang Lei, Bulai Wang, Yinzhong Ye, Wan Heng

Journal of System Simulation

Abstract: Aiming at problems of high frequency ripple component existed in PMSM parameter error caused by the sliding mode observer (SMO) estimation error and counter electromotive force, the stable condition of the speed sensorless control system of permanent magnet motor is weakened. The Kalman filter is introduced to eliminate the high frequency ripple in the front of the sliding mode observer. The control system of the permanent magnet synchronous motor has better steady-state effect and dynamic response. A Matlab platform has been built to validate this method, the experimental results show that the improved sliding mode observer is strong …


Multiple Objective Planning Of Distribution Network With Multiple Distributed Generations, Pan Huan, Xu Chen, Yang Li Jan 2019

Multiple Objective Planning Of Distribution Network With Multiple Distributed Generations, Pan Huan, Xu Chen, Yang Li

Journal of System Simulation

Abstract: The types of distribution network with Distributed generations (DG), the location and capacity will impact on power grid operation and strict, such as unreasonable planning, the normal operation of the power grid have negative effects. Based on this, the main purpose of this paper is to study when the new DG of distribution network access how to reasonable siting and sizing, specific arrangements are. To a real distribution system with a region as an example, the node were evaluated to determine candidate DG installation node, corresponding mathematical optimization model is established, in distribution power purchasing cost, DG operation and …


Research On Mode Shape Characteristics Simulation Of Bell-Shaped Vibratory Angular Rate Gyro, Liu Ning, Su Zhong Jan 2019

Research On Mode Shape Characteristics Simulation Of Bell-Shaped Vibratory Angular Rate Gyro, Liu Ning, Su Zhong

Journal of System Simulation

Abstract: It presents the analysis method of metal shell vibratory gyro’s mode shape for simulation research on Bell-shaped vibratory angular rate gyro, and gives the solution process and result of simulation analysis. Based on the Kirchhoff-Love assuming, by numerical methods to solve mode shape functions of bell-shaped resonator, the low-order modes of bell-shaped resonator is given through comprehensive analysis and finite element simulation results. The mode shaped characteristics of bell-shaped resonator is analyzed effectively through this method. Theory and simulation methods verify the correctness of the theory and promote modal, and lay the bell-shaped vibratory angular rate gyro …


Key Points Analysis And Simulation For Sea Surface Velocity Estimation Based On Spaceborne Ati-Sar System, Yan He, Daiyin Zhu Jan 2019

Key Points Analysis And Simulation For Sea Surface Velocity Estimation Based On Spaceborne Ati-Sar System, Yan He, Daiyin Zhu

Journal of System Simulation

Abstract: ATI (Along Track Interferometric) technique is one of the most important applications for spaceborne SAR (Synthetic Aperture Radar) systems. ATI-SAR systems can directly detect the Doppler offset associated with each pixel of a SAR image. This is achieved by interferometric combination of two complex SAR images of the same scene. The sea surface velocity can be estimated via the calculated interferometric phase. The baseline length, velocity resolution and velocity estimation error are three important factors in the process of spaceborne ATI-SAR system design, and these three points are carefully investigated here. The basic principle and expression of spaceborne ATI-SAR …


Economic Design Of Vsi Arma Charts, Zhang Li, Xiaoyang Dong Jan 2019

Economic Design Of Vsi Arma Charts, Zhang Li, Xiaoyang Dong

Journal of System Simulation

Abstract: To improve the sensitivity of statistical process control reducing costs for process monitoring at the same time, the economic design of autoregressive moving average control chart with variable sampling interval (VSI ARMA) was discussed. The economic model of autoregressive moving average control chart with variable sampling interval (VSI ARMA) was established based on Lorenzen and Vance’s model, in which Markov chain was used to calculate the average time to signal (ATS) through constructing a three dimensional random vector. Using genetic algorithm to search for the optimal combination of seven parameters of VSI ARMA model made the cost of …