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Refinement modeling and verification of secure operating systems for communication in digital twins
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作者 Zhenjiang Qian Gaofei Sun +1 位作者 Xiaoshuang Xing Gaurav Dhiman 《Digital Communications and Networks》 SCIE CSCD 2024年第2期304-314,共11页
In traditional digital twin communication system testing,we can apply test cases as completely as possible in order to ensure the correctness of the system implementation,and even then,there is no guarantee that the d... In traditional digital twin communication system testing,we can apply test cases as completely as possible in order to ensure the correctness of the system implementation,and even then,there is no guarantee that the digital twin communication system implementation is completely correct.Formal verification is currently recognized as a method to ensure the correctness of software system for communication in digital twins because it uses rigorous mathematical methods to verify the correctness of systems for communication in digital twins and can effectively help system designers determine whether the system is designed and implemented correctly.In this paper,we use the interactive theorem proving tool Isabelle/HOL to construct the formal model of the X86 architecture,and to model the related assembly instructions.The verification result shows that the system states obtained after the operations of relevant assembly instructions is consistent with the expected states,indicating that the system meets the design expectations. 展开更多
关键词 Theorem proving Isabelle/HOL Formal verification System modeling Correctness verification
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Dynamic Signature Verification Using Pattern Recognition
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作者 Emmanuel Nwabueze Ekwonwune Duroha Austin Ekekwe +1 位作者 Chinyere Iheakachi Ubochi Henry Chinedu Oleribe 《Journal of Software Engineering and Applications》 2024年第5期214-227,共14页
Dynamic signature is a biometric modality that recognizes an individual’s anatomic and behavioural characteristics when signing their name. The rampant case of signature falsification (Identity Theft) was the key mot... Dynamic signature is a biometric modality that recognizes an individual’s anatomic and behavioural characteristics when signing their name. The rampant case of signature falsification (Identity Theft) was the key motivating factor for embarking on this study. This study was necessitated by the damages and dangers posed by signature forgery coupled with the intractable nature of the problem. The aim and objectives of this study is to design a proactive and responsive system that could compare two signature samples and detect the correct signature against the forged one. Dynamic Signature verification is an important biometric technique that aims to detect whether a given signature is genuine or forged. In this research work, Convolutional Neural Networks (CNNsor ConvNet) which is a class of deep, feed forward artificial neural networks that has successfully been applied to analysing visual imagery was used to train the model. The signature images are stored in a file directory structure which the Keras Python library can work with. Then the CNN was implemented in python using the Keras with the TensorFlow backend to learn the patterns associated with the signature. The result showed that for the same CNNs-based network experimental result of average accuracy, the larger the training dataset, the higher the test accuracy. However, when the training dataset are insufficient, better results can be obtained. The paper concluded that by training datasets using CNNs network, 98% accuracy in the result was recorded, in the experimental part, the model achieved a high degree of accuracy in the classification of the biometric parameters used. 展开更多
关键词 verification SECURITY BIOMETRICS SIGNATURE AUTHENTICATION model Pattern Recognition Dynamic
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Synoptic Verification of Precipitation Forecast of Three NWP Models from May to August of 2008 in Liaoning Province 被引量:5
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作者 崔锦 周小珊 +1 位作者 陈力强 张爱忠 《Meteorological and Environmental Research》 CAS 2010年第8期7-11,20,共6页
In order to evaluate the precipitation forecast performance of mesoscale numerical model in Northeast China,mesoscale model in Liaoning Province and T213 model,and improve the ability to use their forecast products fo... In order to evaluate the precipitation forecast performance of mesoscale numerical model in Northeast China,mesoscale model in Liaoning Province and T213 model,and improve the ability to use their forecast products for forecasters,the synoptic verifications of their 12 h accumulated precipitation forecasts of 3 numerical modes from May to August in 2008 were made on the basis of different systems impacting weather in Liaoning Province.The time limitations were 24,36,48 and 60 h.The verified contents included 6 aspects such as intensity and position of precipitation center,intensity,location,scope and moving velocity of precipitation main body.The results showed that the three models had good forecasting capability for precipitation in Liaoning Province,but the cupacity of each model was obviously different. 展开更多
关键词 Numerical model Precipitation forecast Synoptic meteorology verification China
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Dynamic business process modeling and verification for inter-organizational collaboration 被引量:1
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作者 胡庆成 邢春晓 +2 位作者 杨吉江 严琪 李益民 《Journal of Southeast University(English Edition)》 EI CAS 2007年第3期455-460,共6页
To achieve an on-demand and dynamic composition model of inter-organizational business processes, a new approach for business process modeling and verification is introduced by using the pi-calculus theory. A new busi... To achieve an on-demand and dynamic composition model of inter-organizational business processes, a new approach for business process modeling and verification is introduced by using the pi-calculus theory. A new business process model which is multi-role, multi-dimensional, integrated and dynamic is proposed relying on inter-organizational collaboration. Compatible with the traditional linear sequence model, the new model is an M x N multi-dimensional mesh, and provides horizontal and vertical formal descriptions for the collaboration business process model. Finally, the pi-calculus theory is utilized to verify the deadlocks, livelocks and synchronization of the example models. The result shows that the proposed approach is efficient and applicable in inter-organizational business process modeling. 展开更多
关键词 inter-organizational collaboration PI-CALCULUS business process modeling model verification
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Numerical simulation and experimental verification of plasma jet development in gas gap switch 被引量:1
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作者 董冰冰 郭志远 +2 位作者 张泽霖 文韬 向念文 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第5期159-169,共11页
Plasma jet triggered gas gap switch has obvious advantages in fast control switch.The development of the plasma in the ambient medium is the key factor affecting the triggering conduction of the gas switch.However,the... Plasma jet triggered gas gap switch has obvious advantages in fast control switch.The development of the plasma in the ambient medium is the key factor affecting the triggering conduction of the gas switch.However,the plasma jet process and its characteristic parameters are complicated and the existing test methods cannot fully characterize its development laws.In this work,a two-dimensional transient fluid calculation model of the plasma jet process of the gas gap switch is established based on the renormalization-group k-εturbulence equation.The results show that the characteristic parameters and morphological evolution of the plasma jet are basically consistent with the experimental results,which verifies the accuracy of the simulation model calculation.The plasma jet is a long strip with an initial velocity of 1.0 km·s-1and develops in both axial and radial directions.The jet velocity fluctuates significantly with axial height.As the plasma jet enters the main gap,the pressure inside the trigger cavity drops by80%,resulting in a rapid drop in the jet velocity.When the plasma jet head interacts with the atmosphere,the two-phase fluid compresses each other,generating a forward-propelled pressure wave.The plasma jet heads flow at high velocity,a negative pressure zone is formed in the middle part of the jet,and the pressure peak decreases gradually with height.As the value of the inlet pressure increases,the characteristic parameters of the plasma jet increase.The entrainment phenomenon is evident,which leads to an increase in the pressure imbalance of the atmospheric gas medium,leading to a significant Coanda effect.Compared with air,the characteristic parameters of a plasma jet in SF6are lower,and the morphological evolution is significantly suppressed.The results of this study can provide some insight into the mechanism of action of the switch jet plasma development process. 展开更多
关键词 gas gap switch plasma jet k-εturbulence model numerical calculation experimental verification
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Dynamic grey model of verification cycle and lifecycle of measuring instrument and its application 被引量:4
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作者 苏海涛 杨世元 +1 位作者 董华 沈毛虎 《Journal of Central South University》 SCIE EI CAS 2005年第S2期86-89,共4页
Two dynamic grey models DGM (1, 1) for the verification cycle and the lifecycle of measuring instrument based on time sequence and frequency sequence were set up, according to the statistical feature of examination da... Two dynamic grey models DGM (1, 1) for the verification cycle and the lifecycle of measuring instrument based on time sequence and frequency sequence were set up, according to the statistical feature of examination data and weighting method. By a specific case, i.e. vernier caliper, it is proved that the fit precision and forecast precision of the models are much higher, the cycles are obviously different under different working conditions, and the forecast result of the frequency sequence model is better than that of the time sequence model. Combining dynamic grey model and auto-manufacturing case the controlling and information subsystems of verification cycle and the lifecycle based on information integration, multi-sensor controlling and management controlling were given. The models can be used in production process to help enterprise reduce error, cost and flaw. 展开更多
关键词 measuring equipment verification cycle LIFECYCLE dynamic grey model qualification rate information system
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VERIFICATION OF TROPICAL CYCLONE RAINFALL PREDICTIONS FROM CMA AND JMA GLOBAL MODELS 被引量:6
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作者 王雨 沈学顺 陈德辉 《Journal of Tropical Meteorology》 SCIE 2012年第4期537-542,共6页
The number of tropical cyclone (TC) genesis over the South China Sea and the Northwest Pacific Ocean in 2009 is significantly less than the average (27.4). However, the number of landfall TC over China's Mainland ... The number of tropical cyclone (TC) genesis over the South China Sea and the Northwest Pacific Ocean in 2009 is significantly less than the average (27.4). However, the number of landfall TC over China's Mainland and its associated rainfall is more than the average. This paper focuses on the performance of numerical weather prediction (NWP) of landfall TC precipitation over China in 2009. The China Meteorological Administration (CMA) and Japan Meteorological Agency (JMA) models are compared. Although the schemes of physical processes, the data assimilation system and the dynamic frame are entirely different for the two models, the results of forecast verification are similar to each other for TC rainfall and track except for TC Goni. In this paper, a day with daily rainfall amount greater than 50 mm was selected as a storm rain day when there was a TC affecting the mainland. There are 32 storm rain days related to the landing of typhoons and tropical depressions. The rainfall forecast verification methods of National Meteorological Centre (NMC) of CMA are selected to verify the models' rainfall forecast. Observational precipitation analyses related to TCs in 2009 indicate a U-shape spatial distribution in China. It is found that the rain belt forecasted by the two models within 60 hours shows good agreement with observations, both in the location and the maximum rainfall center. Beyond 3 days, the forecasted rainfall belt shifts northward on average, and the rainfall amount of the model forecasts becomes under-predicted. The rainfall intensity of CMA model forecast is more reasonable than that of JMA model. For heavy rain, the JMA model made more missing forecasts. The TC rainfall is verified in Guangdong, Guangxi, Fujian and Hainan where rainfall amount related to TCs is relatively larger than in other regions. The results indicate that the model forecast for Guangdong and Guangxi is more skillful than that for Hainan. The rainfall forecast for Hainan remains difficult for the models because of insufficient observation data and special tropical ocean climate. 展开更多
关键词 tropical cyclone RAINFALL model verification
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Verification of A Numerical Harbour Wave Model 被引量:2
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作者 潘军宁 洪广文 +1 位作者 左其华 王登婷 《China Ocean Engineering》 SCIE EI 2007年第4期647-658,共12页
A numerical model for wave propagation in a harbour is verified by use of physical models. The extended time-dependent mild slope equation is employed as the governing equation, and the model is solved by use of ADI m... A numerical model for wave propagation in a harbour is verified by use of physical models. The extended time-dependent mild slope equation is employed as the governing equation, and the model is solved by use of ADI method containing the relaxation factor. Firstly, the reflection coefficient of waves in front of rubble-mound breakwaters under oblique incident waves is determined through physical model tests, and it is regarded as the basis for simulating partial reflection boundaries of the numerical model. Then model tests on refraction, diffraction and reflection of waves in a harbour are performed to measure wave height distribution. Comparative results between physical and numerical model tests show that the present numerical model can satisfactorily simulate the propagation of regular and irregular waves in a harbour with complex topography and boundary conditions. 展开更多
关键词 wave mild slope equation numerical model HARBOUR verification
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Formal Verification of TASM Models by Translating into UPPAAL 被引量:1
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作者 胡凯 张腾 +3 位作者 杨志斌 顾斌 蒋树 姜泮昌 《Journal of Donghua University(English Edition)》 EI CAS 2012年第1期51-54,共4页
Timed abstract state machine(TASM) is a formal specification language used to specify and simulate the behavior of real-time systems. Formal verification of TASM model can be fulfilled through model checking activitie... Timed abstract state machine(TASM) is a formal specification language used to specify and simulate the behavior of real-time systems. Formal verification of TASM model can be fulfilled through model checking activities by translating into UPPAAL. Firstly, the translational semantics from TASM to UPPAAL is presented through atlas transformation language(ATL). Secondly, the implementation of the proposed model transformation tool TASM2UPPAAL is provided. Finally, a case study is given to illustrate the automatic transformation from TASM model to UPPAAL model. 展开更多
关键词 timed abstract state machine(TASM) formal verification model transformation atlas transformation language(ATL) UPPAAL
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VERIFICATION OF TYPHOON FORECASTS BY THE GRAPES MODEL 被引量:1
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作者 宋煜 叶成志 +1 位作者 黄振 濮文耀 《Journal of Tropical Meteorology》 SCIE 2010年第1期77-81,共5页
Four landfalling typhoon cases in 2005 were selected for a numerical simulation study with the Global/Regional Assimilation and Prediction System(GRAPES) model.The preliminary assessment results of the performance of ... Four landfalling typhoon cases in 2005 were selected for a numerical simulation study with the Global/Regional Assimilation and Prediction System(GRAPES) model.The preliminary assessment results of the performance of the model,including the predictions of typhoon track,landfall time,location and intensity,etc.,are presented and the sources of errors are analyzed.The 24-hour distance forecast error of the typhoon center by the model is shown to be about 131 km,while the 48-hour error is 252 km.The model was relatively more skilful at forecasts of landfall time and locations than those of intensity at landfall.On average,the 24-hour forecasts were slightly better than the 48-hour ones.An analysis of data impacts indicates that the assimilation of unconventional observation data is essential for the improvement of the model simulation.The model could also be improved by increasing model resolution to simulate the mesoscale and fine scale systems and by improving methods of terrain refinement processing. 展开更多
关键词 GRAPES model landfalling typhoon verification
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Improved Diurnal Cycle of Precipitation on Land in a Global Non-Hydrostatic Model Using a Revised NSAS Deep Convective Scheme
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作者 Yifan ZHAO Xindong PENG +1 位作者 Xiaohan LI Siyuan CHEN 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2024年第6期1217-1234,共18页
In relatively coarse-resolution atmospheric models,cumulus parameterization helps account for the effect of subgridscale convection,which produces supplemental rainfall to the grid-scale precipitation and impacts the ... In relatively coarse-resolution atmospheric models,cumulus parameterization helps account for the effect of subgridscale convection,which produces supplemental rainfall to the grid-scale precipitation and impacts the diurnal cycle of precipitation.In this study,the diurnal cycle of precipitation was studied using the new simplified Arakawa-Schubert scheme in a global non-hydrostatic atmospheric model,i.e.,the Yin-Yang-grid Unified Model for the Atmosphere.Two new diagnostic closures and a convective trigger function were suggested to emphasize the job of the cloud work function corresponding to the free tropospheric large-scale forcing.Numerical results of the 0.25-degree model in 3-month batched real-case simulations revealed an improvement in the diurnal precipitation variation by using a revised trigger function with an enhanced dynamical constraint on the convective initiation and a suitable threshold of the trigger.By reducing the occurrence of convection during peak solar radiation hours,the revised scheme was shown to be effective in delaying the appearance of early-afternoon rainfall peaks over most land areas and accentuating the nocturnal peaks that were wrongly concealed by the more substantial afternoon peak.In addition,the revised scheme enhanced the simulation capability of the precipitation probability density function,such as increasing the extremely low-and high-intensity precipitation events and decreasing small and moderate rainfall events,which contributed to the reduction of precipitation bias over mid-latitude and tropical land areas. 展开更多
关键词 cumulus parameterization diurnal cycle of precipitation large-scale dynamic forcing global non-hydrostatic atmospheric model performance verification
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An On-chip Interconnection QoS Verification Platform of Processor of Large Data for Architectural Modeling Analysis 被引量:1
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作者 Li Qinghua Qin Jilong +2 位作者 Ding Xu Wang Endong Gong Weifeng 《国际计算机前沿大会会议论文集》 2015年第1期126-128,共3页
This paper presents introduction for a QoS verification of on-chip interconnection based on the new progress of the industry, which combined with an AMD processor chip design for big data. Some verification experience... This paper presents introduction for a QoS verification of on-chip interconnection based on the new progress of the industry, which combined with an AMD processor chip design for big data. Some verification experience in architectural modeling and simulation of on-chip interconnection is also introduced in this paper. 展开更多
关键词 INTERCONNECT QOS verification modeling MULTIPROCESSOR Computer Architecture Big Data
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ESTABLISHMENT AND VERIFICATION OF MATHEMATICAL MODEL FOR CURRENT LEAKAGE IN BIPOLAR MULTI-COMPARTMENT CELL
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作者 Yang Jianhong Zhang +2 位作者 Qingxiang Wang Huazhang Liu Yexiang(Department of Metallurgy, Central South University of Technology, Changsha 410083) 《中国有色金属学会会刊:英文版》 CSCD 1995年第1期29-35,共7页
ESTABLISHMENTANDVERIFICATIONOFMATHEMATICALMODELFORCURRENTLEAKAGEINBIPOLARMULTI-COMPARTMENTCELLYang;JianhongZ... ESTABLISHMENTANDVERIFICATIONOFMATHEMATICALMODELFORCURRENTLEAKAGEINBIPOLARMULTI-COMPARTMENTCELLYang;JianhongZhang;QingxiangWan... 展开更多
关键词 BIPOLAR multi-compartment cell current LEAKAGE equivalent circuit MATHEMATICAL model model verification
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Studies on Model Distance Normalization Approach in Text-independent Speaker Verification 被引量:1
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作者 DONG Yuan LU Liang +1 位作者 ZHAO Xian-Yu ZHAO Jian 《自动化学报》 EI CSCD 北大核心 2009年第5期556-560,共5页
关键词 自动化 标准化 函数逼近 ASV
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Long-term Prediction and Verification of Rainfall Based on the Seasonal Model
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作者 Zheng Xiaohua Li Xingmin 《Meteorological and Environmental Research》 CAS 2014年第5期13-14,21,共3页
Using the seasonal cross-multiplication trend model, monthly precipitation of eight national basic weather stations of Shaanxi Province from 2005 to 2010 was predicted, and the forecast results were verified using the... Using the seasonal cross-multiplication trend model, monthly precipitation of eight national basic weather stations of Shaanxi Province from 2005 to 2010 was predicted, and the forecast results were verified using the rainfall scoring rules of China Meteorological Administration. The verification results show that the average score of annual precipitation prediction in recent six years is higher than that made by a professional forecaster, so this model has a good prospect of application. Moreover, the level of making prediction is steady, and it can be widely used in long-term prediction of rainfall. 展开更多
关键词 Seasonal cross-multiplication trend model Long-term prediction of rainfall Forecast verification China
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Application and Verification of Multi-Model Products in Medium Range Forecast
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作者 Rong Yao Zhiming Kang +1 位作者 Yong Li Xiangning Cai 《Journal of Geoscience and Environment Protection》 2018年第7期178-193,共16页
The verification analysis is applied to medium-range forecast products of T639, ECMWF, Japan model, NCEP ensemble forecast and NMC multi-model integration in late October 2012. The results show that ECMWF model has ob... The verification analysis is applied to medium-range forecast products of T639, ECMWF, Japan model, NCEP ensemble forecast and NMC multi-model integration in late October 2012. The results show that ECMWF model has obvious advantage over other models in terms of height field and precipitation forecast;the westerly-wind index, geostrophic U wind and 850 hPa temperature prediction products can reflect the adjustment of atmospheric circulation and the activity of cold air, which have a good reference for the medium-range temperature forecast in the eastern China;the prediction of ECMWF height field and wind field can well grasp the main weather processes within 192 h, but beyond 192 h the model forecast ability decreases significantly;different models have large deviations in the medium-range forecast of typhoon track and the intensity and range of typhoon precipitation. 展开更多
关键词 model verification Medium-Range FORECAST Deviation
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Automatic Verification of Biochemical Network Using Model Checking Method
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作者 Jinkyung Kim Younghee Lee Il Moon 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2008年第1期90-94,共5页
This study focuses on automatic searching and verifying methods for the teachability, transition logics and hierarchical structure in all possible paths of biological processes using model checking. The automatic sear... This study focuses on automatic searching and verifying methods for the teachability, transition logics and hierarchical structure in all possible paths of biological processes using model checking. The automatic search and verification for alternative paths within complex and large networks in biological process can provide a considerable amount of solutions, which is difficult to handle manually. Model checking is an automatic method for verifying if a circuit or a condition, expressed as a concurrent transition system, satisfies a set of properties expressed in a temporal logic, such as computational tree logic (CTL). This article represents that model checking is feasible in biochemical network verification and it shows certain advantages over simulation for querying and searching of special behavioral properties in biochemical processes. 展开更多
关键词 automatic verification path networks biological process model checking computational tree logic
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An Intelligent Cluster Verification Model Using WSN to Avoid Close Proximity and Control Outbreak of Pandemic in a Massive Crowd
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作者 Naeem Ahmed Nawaz Norah Saleh Alghamdi +1 位作者 Hanen Karamti Mohammad Ayoub Khan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2022年第11期327-350,共24页
Assemblage at public places for religious or sports events has become an integral part of our lives.These gatherings pose a challenge at places where fast crowd verification with social distancing(SD)is required,espec... Assemblage at public places for religious or sports events has become an integral part of our lives.These gatherings pose a challenge at places where fast crowd verification with social distancing(SD)is required,especially during a pandemic.Presently,verification of crowds is carried out in the form of a queue that increases waiting time resulting in congestion,stampede,and the spread of diseases.This article proposes a cluster verification model(CVM)using a wireless sensor network(WSN),single cluster approach(SCA),and split cluster approach(SpCA)to solve the aforementioned problem for pandemic cases.We show that SD,cluster approaches,and verification by WSN can overcome the management issues by optimizing the cluster size and verification time.Hence,our proposed method minimizes the chances of spreading diseases and stampedes in large events such as a pilgrimage.We consider the assembly points in the annual pilgrimage to Makkah Al-Mukarmah and Umrah for verification using Contiki/Cooja tool.We compute results such as verified cluster members(CMs)to define cluster size,success rate to determine the best success rate,and verification time to determine the optimal verification time for various scenarios.We validate ourmodel by comparing the results of each approach with the existing model.Our results showthat the SpCAwith SD is the best approach with a 96% success rate and optimization of verification time as compared to SCA with SD and the existing model. 展开更多
关键词 Cluster verification model wireless sensor network social distancing crowd single approach split approach
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Modeling and Verification of Aircraft Takeoff Through Novel Quantum Nets
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作者 Maryam Jamal Nazir Ahmad Zafar +3 位作者 Atta-ur-Rahman Dhiaa Musleh Mohammed A.Gollapalli Sghaier Chabani 《Computers, Materials & Continua》 SCIE EI 2022年第8期3331-3348,共18页
The formal modeling and verification of aircraft takeoff is a challenge because it is a complex safety-critical operation.The task of aircraft takeoff is distributed amongst various computer-based controllers,however,... The formal modeling and verification of aircraft takeoff is a challenge because it is a complex safety-critical operation.The task of aircraft takeoff is distributed amongst various computer-based controllers,however,with the growing malicious threats a secure communication between aircraft and controllers becomes highly important.This research serves as a starting point for integration of BB84 quantum protocol with petri nets for secure modeling and verification of takeoff procedure.The integrated model combines the BB84 quantum cryptographic protocol with powerful verification tool support offered by petri nets.To model certain important properties of BB84,a new variant of petri nets coined as Quantum Nets are proposed by defining their mathematical foundations and overall system dynamics,furthermore,some important system properties are also abstractly defined.The proposed QuantumNets are then applied for modeling of aircraft takeoff process by defining three quantum nets:namely aircraft,runway controller and gate controller.For authentication between quantum nets,the use of external places and transitions is demonstrated to describe the encryptiondecryption process of qubits stream.Finally,the developed takeoff quantum network is verified through simulation offered by colored petri-net(CPN)Tools.Moreover,reachability tree(RT)analysis is also performed to have greater confidence in feasibility and correctness of the proposed aircraft takeoff model through the Quantum Nets. 展开更多
关键词 Aircraft takeoff BB84 quantum cryptography PETRI-NETS quantum nets formal modeling and verification
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Analytical Solutions for Testing of Baroclinic and Wind-Driven Three-Dimensional Hydrodynamic Models
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作者 Cheng He 《Journal of Applied Mathematics and Physics》 2024年第8期2866-2884,共19页
It is always a challenge for a model developer to verify a three-dimensional hydrodynamic model, especially for the baroclinic term over variable topography, due to a lack of observational data sets or suitable analyt... It is always a challenge for a model developer to verify a three-dimensional hydrodynamic model, especially for the baroclinic term over variable topography, due to a lack of observational data sets or suitable analytical solutions. In this paper, exact solutions for the periodic forcing by surface heat flux and wind stress are given by solving the linearized equations of motion neglecting the rotation, advection and horizontal diffusion terms. The temperature at the bottom is set to a prescribed periodic value and a slip condition on flow is enforced at the bottom. The geometry of the quarter annulus, which has been extensively studied for two- and three-dimensional analytical solutions of unstratified water bodies, is used with a general power law variation of the bottom slope in the radial direction and is constant in the azimuthal direction. The analytical solutions are derived in a cylindrical coordinate system, which describes the three-dimensional fluid field in a Cartesian coordinate system. The results presented in this paper should provide a foundation for studying and verifying the baroclinic term over a varied topography in a three-dimensional numerical model. 展开更多
关键词 3D model Baroclinic Force Analytical Solutions model verification
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