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Articles 181 - 210 of 323
Full-Text Articles in Systems Science
Auxiliary Application Of Wearable Computing Equipment In Industrial Intelligent Operation And Maintenance, Shen Yi, Wu Gang, Zhou Rui
Auxiliary Application Of Wearable Computing Equipment In Industrial Intelligent Operation And Maintenance, Shen Yi, Wu Gang, Zhou Rui
Journal of System Simulation
Abstract: Virtual operation and intelligent operation and maintenance based on wearable integrated computing devices have become a trend of lean industrial production. The operation and maintenance efficiency of tobacco production equipment can be directly improved by using mixed reality, virtual simulation and other technologies, combined with virtual interactive assistance applications . Combining 5G, IoT and big data technologies, a system design of wearable smart devices is proposed based on smart glasses with multi-dimensional spatial information synchronization, computer vision and natural perceptual interaction, and a set of design scheme for auxiliary operation and maintenance of cigarette equipment is innovated. The intelligent …
Simulation And Experimental Verification Of Precision Grinding Of Micro-Groove Structure, Haoyang Cao
Simulation And Experimental Verification Of Precision Grinding Of Micro-Groove Structure, Haoyang Cao
Journal of System Simulation
Abstract: In order to study the influence of micro-groove structure precision grinding, based on grinding wheel dressing and grinding kinematics, a grinding simulation model for the micro-groove structural surface is established. The influence of dressing, grinding parameters and pitch length on the profile of micro-groove structure was analyzed systematically, the grinding conditions for forming complete or interfering micro-groove profile are described, the profile and size of micro-groove are predicted, and the grinding test is carried out on carbon steel. The test results are consistent with the trend of the simulation model. The profile and size of the micro-groove …
Research On Variable Swept Wing Mode Of Missile Based On Flutter Characteristics, Gao Yang, Yanbin Li, Wang Ying, Zhang Ze, Lü Rui
Research On Variable Swept Wing Mode Of Missile Based On Flutter Characteristics, Gao Yang, Yanbin Li, Wang Ying, Zhang Ze, Lü Rui
Journal of System Simulation
Abstract: The variable sweep angle of missile wing is an important variant missile design scheme. In the process of variant design, the aerodynamic and flutter characteristics of missile will be significantly different by using different variable sweep methods. Referring to the shape characteristics of Tomahawk missile, the geometric model of variable sweep wing missile is established. The flutter characteristics of variable sweep wing missile under different variable sweep angle modes are calculated and analyzed by fluid structure coupling method, and the selection scheme of variable sweep wing mode based on flutter characteristics is explored. The results show that the …
Adaptive Lean Manufacturing Implementation For Organizations With Rapid Leadership Turnover, Brett Babcock
Adaptive Lean Manufacturing Implementation For Organizations With Rapid Leadership Turnover, Brett Babcock
Open Access Theses & Dissertations
Lean Six Sigma seeks to optimize workplace efficiency and is now world renowned as the standard for how to maximize profits, perfect quality control, and emphasize workplace safety. Almost every large scale engineering company has in some shape or form a Lean Six Sigma aimed concept of operations to the point that a subset of the Lean Six Sigma Institute is focused towards compiling packages to assist those companies that have not implemented it to make the transition. These packages while efficient, operate with the understanding that the ideologies they deploy will be implemented from the top down and that …
Mesoscopic Traffic Simulation Model And Calibration Considering Stretching-Segment Design, Zhaocheng He, Xuanhua Lin, Peilin Nie, Ronghui Zhang
Mesoscopic Traffic Simulation Model And Calibration Considering Stretching-Segment Design, Zhaocheng He, Xuanhua Lin, Peilin Nie, Ronghui Zhang
Journal of System Simulation
Abstract: In order to make the simulation model fit the characteristics of urban traffic, both high accuracy and high performance, a lightweight mesoscopic traffic simulation system and the process of calibration are established. The speed-density model and vertical queue model are equivalent to the vehicle movement processes, the simulation accuracy and calibration efficiency are improved by the stretching-segment design at urban intersections of vertical queuing model, and the real individual vehicle information is used as the calibration data source. The application of the model in Xuancheng urban road network shows that, compared with the vertical queuing model, it can …
Combined Gearbox Transmission Ratio Optimization Research Based On Hybrid Particle Swarm, Runhong Wang, Hongjun Wang, Xiangjun Zou, Zeqin Zeng, Li Hui, Zhaofeng Huang, Weiliang Liu
Combined Gearbox Transmission Ratio Optimization Research Based On Hybrid Particle Swarm, Runhong Wang, Hongjun Wang, Xiangjun Zou, Zeqin Zeng, Li Hui, Zhaofeng Huang, Weiliang Liu
Journal of System Simulation
Abstract: Aiming at the difficulty to obtain the optimal solution for the transmission ratio distribution of combined transmission, an optimization method for the transmission ratio of the combined multi-speed transmission based on the hybrid particle swarm optimization algorithm is proposed. Based on the multi-objective particle swarm algorithm, a leader population with a self-renewal mechanism is introduced to form a hybrid particle swarm algorithm. A multi-objective optimization model is established by taking the transmission ratio of each stage of single-speed transmission as a variable, combining the transmission chain layout, taking the driving power loss rate, specific fuel consumption loss …
Modeling And Simulation Of Electric Vehicle Industry Development Based On System Dynamics, Yueqiang Fu, Tiantian Xia
Modeling And Simulation Of Electric Vehicle Industry Development Based On System Dynamics, Yueqiang Fu, Tiantian Xia
Journal of System Simulation
Abstract: New energy electric vehicle are the main trend of automobile industry upgrading. It plays an important role in ensuring the energy security and improving the ecological environment. It is of theoretical and practical significance to carry out research on the development of new energy electric vehicles. The affecting factors are systematically analyzed, the causal relationship model and stock flow model are established, and the dynamic equation of the model are determined and the parameter assignments are made. The model is verified and the system simulation and analysis are performed. The development trend and main influencing factors of …
Small Fault Detection Based On Cumulative Sum Of Neighbor Statistic, Xiaoping Guo, Jiajun Gao, Jianbin Guo, Li Yuan
Small Fault Detection Based On Cumulative Sum Of Neighbor Statistic, Xiaoping Guo, Jiajun Gao, Jianbin Guo, Li Yuan
Journal of System Simulation
Abstract: Aiming at the small faults and the common data non-linear problems of industrial process, a fault detection method based oncumulative sum of neighbor statistic (CUSUM-NS) is proposed. Mutual information principal component analysis (MIPCA) is used to reduce the dimension of training data, and the principal components based on mutual information are extracted to construct a new sample space. For the new sample space after dimensionality reduction, the nonlinear features of the process data can be fully extracted through the distance square sum statistics of k nearest neighbors. Cumulative summation(CUSUM) method is used to accumulate the sum of squares of …
Study On Relay Selection Algorithm Based On Swipt Wireless Cooperative Network, Qun Fang, Xukai Chen, He Xin, Yujun Zhu, Yiyang Liu, Yangyang Fang, Heju Li
Study On Relay Selection Algorithm Based On Swipt Wireless Cooperative Network, Qun Fang, Xukai Chen, He Xin, Yujun Zhu, Yiyang Liu, Yangyang Fang, Heju Li
Journal of System Simulation
Abstract: Although the wireless cooperative networks (WCN) significantly improve the communication quality and network throughput of wireless communications. However, it still faces the challenge of the network lifetime and the energy replenishment due to the energy limitation of relay nodes. In order to tackle this challenge, A multi-relay wireless cooperative network combined with the simultaneous wireless information and power transfer (SWIPT) is proposed and the theoretical performance under the Nakagami-m assumption is analyzed. The selection of the optimal relay node for wireless cooperative networks in the framework of the proposed system is studied. The outage probability of the system …
Research On Fjsp Of Improved Particle Swarm Optimization Algorithm Considering Transportation Time, Chen Kui, Bi Li
Research On Fjsp Of Improved Particle Swarm Optimization Algorithm Considering Transportation Time, Chen Kui, Bi Li
Journal of System Simulation
Abstract: In the actual FJSP(Flexible Job-shop Scheduling Problem) production environment, there is not only the processing time of the workpiece, but also the transport time of the workpiece between the machines, so the flexible job shop scheduling considering the transport time is more practically significant. A hybrid discrete particle swarm optimization algorithm is proposed to solve the flexible job-shop scheduling problem considering transport time. Aiming at the instability and precocity of particle swarm optimization algorithm, the neighborhood search algorithm is applied to improve its stability, and the combination of competitive learning mechanism and random restart algorithm are introduced to avoid …
Simulation And Optimization Of Support Resource Allocation For Multi-Aircraft Large Fleet Re Dispatch, Xu Gang, Zhang Lei, Yonggang Yun, Du Li
Simulation And Optimization Of Support Resource Allocation For Multi-Aircraft Large Fleet Re Dispatch, Xu Gang, Zhang Lei, Yonggang Yun, Du Li
Journal of System Simulation
Abstract: In view of the complex combination of support resources of multi-aircraft large fleet re dispatch, based on the new complex factors of different models, different support expectation time and different main resource types, the simulation model of multi-aircraft support process based on queuing network is established and a simulation algorithm for the optimal allocation of support resources is proposed. The algorithm takes the total time of fleet support, the average time of aircraft support, the average intensity of fleet support, the cost of resources, the balance of free and busy support, the balance of resource supply and demand as …
Design And Implementation Of Multi Level Terrain Editing Tool, Xiang Bing, Yang Gang, Xiaohong Dong
Design And Implementation Of Multi Level Terrain Editing Tool, Xiang Bing, Yang Gang, Xiaohong Dong
Journal of System Simulation
Abstract: 3D terrain is an indispensable scene element in computer games, virtual simulation, geographic information and other applications. Realistic digital terrain plays an important role in enhancing the reality of virtual scene and the immersion of users. Based on the in-depth analysis of terrain features and user modeling requirements, a multi-level terrain editing mode is constructed. In the mode, the terrain editing behavior can be expanded from three levels of point, line and face. Each level has a specific operation target and corresponding editing tools. A multi-level and comprehensive terrain editing tool set composed of point tool, curve tool and …
Visual Simulation Platform For Visible Light Reconnaissance Load Of Unmanned Aerial Vehicle, Yuzhou Chen, Li Yuan, Qinglin Wang, Zhang Qing, Jinyuan Zhang
Visual Simulation Platform For Visible Light Reconnaissance Load Of Unmanned Aerial Vehicle, Yuzhou Chen, Li Yuan, Qinglin Wang, Zhang Qing, Jinyuan Zhang
Journal of System Simulation
Abstract: In view of the simulation and evaluation requirement of the visual system parameters on the performance of video imaging during the operation and reconnaissance of unmanned aerial vehicle, a visual simulation platform for the reconnaissance load is designed and constructed. The collected video is processed according to the visual system parameters and the flight parameters, and the support for the evaluation and the index design of the unmanned aerial vehicle reconnaissance load system is provided, and the guidance is provided for the flight parameters and the flight track setting when the unmanned aerial vehicle reconnaissance and operation …
Research On Some Questions Of Simulation Body Of Knowledge, Xiaogang Qiu, Duan Hong, Xie Xu, Bin Chen
Research On Some Questions Of Simulation Body Of Knowledge, Xiaogang Qiu, Duan Hong, Xie Xu, Bin Chen
Journal of System Simulation
Abstract: Simulation body of knowledge (BOK) is the knowledge required to conduct Modeling and Simulation (M&S) activities, which is a logic system consisting of concepts, propositions, and inferences that are tightly related to each other. The simulation BOK organizes the M&S knowledge in a hierarchical way, reflects the composition and structure of the knowledge in the M&S domain. The establishment of the simulation BOK is crucial to advance the M&S research and education. The requirements for establishing the simulation BOK are summarized, three basic features of the simulation knowledge, practical, systematical, and epochal are discussed, the challenges of establishing the …
Study On Composition Of Simulation Discipline Knowledge Areas, Duan Hong, Xiaogang Qiu, Xie Xu, Rusheng Ju
Study On Composition Of Simulation Discipline Knowledge Areas, Duan Hong, Xiaogang Qiu, Xie Xu, Rusheng Ju
Journal of System Simulation
Abstract: Many disciplines, such as Software Engineering, Automation, have sorted out and formed their own knowledge areas and constructed their Body of Knowledge to steer teaching and study efforts. Describing the composition of Modeling and Simulation body of knowledge from the perspective of knowledge area plays an important role in the simulation engineering education and the development of simulation technology. According to the needs of simulation teaching, the body of knowledge of simulation discipline is divided into three levels, knowledge area, knowledge unit and knowledge topic. On the basis of reviewing the current status of the research and the role …
Research On Combat Simulation Body Of Knowledge, Xie Xu, Xiaogang Qiu, Duan Hong, Kedi Huang
Research On Combat Simulation Body Of Knowledge, Xie Xu, Xiaogang Qiu, Duan Hong, Kedi Huang
Journal of System Simulation
Abstract: Combat simulation is an important research method in modern military domain, since it provides a virtual battlespace for entities of various types that are involved in a battle to interact with each other. Over last several decades, combat simulation has been widely applied in different applications, and as a result the body of knowledge of combat simulation has been extended a lot. The relevant articles and textbooks in combat simulation are extensively investigated, and a three-layer structure to organize the body of knowledge of combat simulation is proposed. Eleven knowledge areas that should be included in the combat simulation …
Personalized Game Recommendation Method Based On Implicit Feedback, Sha Jing, Gongli Zeng, Yang Yang, Wei Yao
Personalized Game Recommendation Method Based On Implicit Feedback, Sha Jing, Gongli Zeng, Yang Yang, Wei Yao
Journal of System Simulation
Abstract: Traditional recommendation systems often use explicit feedback for personalized recommendations. But the explicit feedback data is not easy to obtain, and the quality is poor, and the recommendation results unable to meet the requitrment of the user. Implicit feedback data is easier to obtain and can provide users with the better content. A personalized game recommendation method based on implicit feedback data is proposed. The method builds an implicit feedback recommendation model for game user data based on implicit feedback data such as the game duration and game numbers. A personalized recommendation of the game is implemented through an …
Research On Fingerprint Location Algorithm Based On Dynamic Fingerprint Update, Lizhen Cui, Qiaoli Wang, Qianqian Guo, Yang Yong
Research On Fingerprint Location Algorithm Based On Dynamic Fingerprint Update, Lizhen Cui, Qiaoli Wang, Qianqian Guo, Yang Yong
Journal of System Simulation
Abstract: According to the characteristics of underground environment, a fingerprint location algorithm based on dynamic fingerprint updating is proposed. FCM(Fuzzy C-Means Clustering) is used to divide the location area according to the signal distribution characteristics, and the training and learning model is established in each sub area. On the basis of FCM algorithm, a HMM(Hidden Markov Model) motion information sequence model based on the location of mobile users is proposed. The dynamic update of fingerprint database is realized by users unconsciously participating in the collection of RSSI(Received Signal Strength Indication) sequence. ANFIS(Adaptive Network-based Fuzzy Inference System) algorithm …
Mesh Solid Construction Algorithm Of Spiral Bevel Gear Based On Virtual Collision Body, Cheng'en Li, Xiangjun Zou, Zeqin Zeng, Jianhua He, Li Hui, Zhaofeng Huang
Mesh Solid Construction Algorithm Of Spiral Bevel Gear Based On Virtual Collision Body, Cheng'en Li, Xiangjun Zou, Zeqin Zeng, Jianhua He, Li Hui, Zhaofeng Huang
Journal of System Simulation
Abstract: In order to improve the production automation, intelligence level and production efficiency of the tractor rear axle, the spiral bevel gear mesh entity based on the virtual collision body is constructed to carry out the human-machine interaction virtual simulation experiment of the tractor rear axle. The spiral bevel gear made by Gleason as is taken an example, the processing technology of arc spur gear is analyzed, the kinematics is used to establish a mathematical model of the spiral bevel gear forming process. The differential and interpolation methods are used to fit the gear curve and surface, the contour point …
Solving Engineering Optimization Design Problems Based On Improved Salp Swarm Algorithm, Jingsen Liu, Mengmeng Yuan, Li Yu
Solving Engineering Optimization Design Problems Based On Improved Salp Swarm Algorithm, Jingsen Liu, Mengmeng Yuan, Li Yu
Journal of System Simulation
Abstract: In order to better solve the engineering optimization design problem and improve the optimization performance of salp swarm algorithm, an adaptive dynamic role salp swarm algorithm with effective scaling and random crossover strategy is proposed. A pareto distribution and chaotic map are introduced into the leader position updating formula to make global search more efficient. In the selection of global and local search, a leader-follower adaptive adjustment strategy is introduced to improve the convergence accuracy. A random crossover strategy is introduced in local search to increase population diversity. The improved algorithm is applied to engineering optimization problems with different …
Compensation Sliding Cross Coupling Control Research Of Cartesian Coordinate Robot, Wang Wei, Zhimei Chen, Zhenyan Wang
Compensation Sliding Cross Coupling Control Research Of Cartesian Coordinate Robot, Wang Wei, Zhimei Chen, Zhenyan Wang
Journal of System Simulation
Abstract: For a typical Cartesian coordinate robot controls precision is low, based on a single-axis mathematical model, a contour error model for a typical robot whose axes are orthogonal to each other is established. An improved double-power approach law is used to design a terminal sliding mode controller to improve the robot. The integral compensation terms are added to stably compensate the position accuracy of each axis to improve the overall trajectory tracking accuracy, and the cross-coupling control between the axes is used to eliminate the contour error between the axes. It not only weakens the chattering of traditional sliding …
Load System Modeling Of Ultra-Supercritical Coal-Fired Power Unit Based On Improved Particle Swarm Optimization, Yuzhen Sun, Yiwei Tang, Li Shuai
Load System Modeling Of Ultra-Supercritical Coal-Fired Power Unit Based On Improved Particle Swarm Optimization, Yuzhen Sun, Yiwei Tang, Li Shuai
Journal of System Simulation
Abstract: Aiming at the difficulties in modeling due to variables coupling of ultra-supercritical coal-fired power unit and defects in basic particle swarm optimization, an improved particle swarm optimization algorithm for modeling of load system is proposed. The algorithm introduces the idea of adaptive, Cauchy mutation and gradient guidance crossover, which improves the problems of particle swarm optimization algorithm being prone to premature convergence and has the poor local searching ability. By collecting the actual operation data of the power plant, using the adaptive Cauchy mutation and gradient guidance cross particle swarm optimization (GMGPSO) algorithm, the model established and validated …
Gas-Liquid Two-Phase Flow Pattern Recognition Method Based On Convolutional Neural Network, Weiguo Tong, Xuechun Pang, Genghong Zhu
Gas-Liquid Two-Phase Flow Pattern Recognition Method Based On Convolutional Neural Network, Weiguo Tong, Xuechun Pang, Genghong Zhu
Journal of System Simulation
Abstract: Aiming at the low recognition rate and subjectivity in two-phase flow pattern recognition, a method based on Landweber iterative image reconstruction algorithm and convolutional neural network is proposed. Landweber iterative image reconstruction algorithm is used to obtain the flow pattern images and build the flow pattern image database. By means of the flow pattern identification on, different convolution layers in VGG16 network and different size and resolution of the data set samples, the parameters of network frozen convolutional layer and input image are determined.The experimental results show that the combined method of resistance tomography and convolutional neural network …
Simulation Of Anti-Ship Missile Automatic Control Section Trajectory Based On Pso-Lssvm, Shao Cheng, Hongyuan Sun, Zhang Lin
Simulation Of Anti-Ship Missile Automatic Control Section Trajectory Based On Pso-Lssvm, Shao Cheng, Hongyuan Sun, Zhang Lin
Journal of System Simulation
Abstract: The anti-ship missile trajectory simulation model cannot meet requirements of the “red and blue” confrontation simulation deduction. Trajectory modeling of anti-ship missiles based on field data will be a new method. Taking a typical anti-ship missile as an example, a trajectory modeling and simulation method of the missile self-control section based on field data is proposed. The field data is analyzed and the least square polynomial method is used to fit the missile velocity-time curve. Particle Swarm Optimization Least Square Support Vector Machine (PSO-LSSVM) is used to model. The verified and validated show the model has high credibility and …
Modeling And Simulation Of Urination Assist System Based On Working Medium Saturated Vapor Pressure, Li Xiao, Li Shu, Weihong Peng, Ting Guan
Modeling And Simulation Of Urination Assist System Based On Working Medium Saturated Vapor Pressure, Li Xiao, Li Shu, Weihong Peng, Ting Guan
Journal of System Simulation
Abstract: To design and analyze the urination assist system driven by ultrasonic-vaporized steam, a simulation model of the driving capsule and three mathematical models of working medium saturated vapor pressure, bladder pressure and urine flow are established. The simulation experiment system is built to verify the model. The effects of radiation time and sound intensity on the working medium temperature and driving pressure are simulated and analyzed. The results show that the working medium temperature and driving pressure are related to the radiation time and sound intensity. Prolonging radiation time and increasing sound intensity can increase the working medium …
Design And Electromagnetic Simulation Of Split Switched Reluctance Dual-Rotor Motor, Deng Tao, Deng Song
Design And Electromagnetic Simulation Of Split Switched Reluctance Dual-Rotor Motor, Deng Tao, Deng Song
Journal of System Simulation
Abstract: There are some problems such as bad heat dissipation and electromagnetic coupling for the traditional dual-rotor motor of hybrid electric vehicles. Two SRMs of same size are mechanically connected through a coupling to form a dual-rotor motor with two rotors and one stator. A split switched reluctance dual-rotor motor (SSR-DRM) is innovatively designed. The working principle and multi-operating mode of SSR-DRM are analyzed, and the parameters design, modeling and electromagnetic simulation are implemented. The parameters of design and simulation are compared and analyzed from the aspects of magnetic line distribution, magnetic density, transient torque and no-load back …
Subway System Resilience Evaluation In Based On Anp-Extension Cloud Model, Qingjun Guo, Qianwen Hao, Yijie Wang, Wang Jing
Subway System Resilience Evaluation In Based On Anp-Extension Cloud Model, Qingjun Guo, Qianwen Hao, Yijie Wang, Wang Jing
Journal of System Simulation
Abstract: In order to improve the safety defense ability and risk resistance level of the subway construction site, it is necessary to improve the risk resistance and accident recovery ability of the safety system. The resilience theory is applied in the safety management of subway construction engineering by defining whether the resilience connotation is applicable to the safety system. According to the bibliometric method and Delphi method, the resilience evaluation index is selected and the system resilience is evaluated by constructing comprehensive evaluation model of ANP-extension cloud. The Xi'an 14th Metro Line is taken as an applilation example. The evaluation …
Modeling And Verification Of Scene Of C3+Ato System Based On Timed Automata, Zhenhai Zhang, Yao Jie
Modeling And Verification Of Scene Of C3+Ato System Based On Timed Automata, Zhenhai Zhang, Yao Jie
Journal of System Simulation
Abstract: The C3+ATO system is in the experimental stage in our country and has the characteristics of high automation degree and high safety requirement at present. In order to confirm whether the specific function of the high-speed railway C3+ATO system meets the corresponding technical specification under the specific scene, a formal modeling and verification method based on the timed automata is proposed. The station automatic departure scene is selected as the modeling object. The functional requirements of C3+ATO system specification are extracted and the timed automata model of the scene is established. The message sequence chart of the corresponding process …
Operation Resilience Optimization Of Power System Considering Generalized Energy Storage, Weiqing Sun, Zhang Jie, Ye Lei, Han Dong
Operation Resilience Optimization Of Power System Considering Generalized Energy Storage, Weiqing Sun, Zhang Jie, Ye Lei, Han Dong
Journal of System Simulation
Abstract: Based on the definition and principle of power system resilience, combining the traditional energy storage equipment with the demand response, an optimization method of power system operation resilience considering generalized energy storage is proposed. Five attack schemes based on topology are evaluated according to four indexes, and the most disadvantageous attack strategy is selected to simulate the damage of power system. Taking the minimum operating cost of the system as the objective, a combined scheduling model involving wind power station and energy storage unit is carried out. A generalized energy storage scheduling method is proposed to improve the …
Study On Virtual And Real Entity Configuration Of Army Units Lvc Tactical Training, Gao Ang, Zhiming Dong, Qisheng Guo, Guohui Zhang
Study On Virtual And Real Entity Configuration Of Army Units Lvc Tactical Training, Gao Ang, Zhiming Dong, Qisheng Guo, Guohui Zhang
Journal of System Simulation
Abstract: Aiming at the problem that “real soldiers” in the LVC system cannot observe “virtual soldiers” and cannot completely meet the army's tactical training needs, the research on the configuration under the condition of limited interaction between virtual and real entities is carried out. Taking equipment is as the node, taking the interaction between the equipment that conforms to the objective facts of combat as the edge. An undirected graph description example of a virtual-real node interaction is build. All the complete subgraphs in the undirected graph are all the configuration modes of virtual and real entities, under which any …