International Journal of Applied Mathematics and Computer Science最新文献

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Global Behavior of a Multi–Group Seir Epidemic Model with Spatial Diffusion in a Heterogeneous Environment 异质环境下具有空间扩散的多群Seir流行病模型的全局行为
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-06-01 DOI: 10.34768/amcs-2022-0020
Pengyan Liu, Hong-Xu Li
{"title":"Global Behavior of a Multi–Group Seir Epidemic Model with Spatial Diffusion in a Heterogeneous Environment","authors":"Pengyan Liu, Hong-Xu Li","doi":"10.34768/amcs-2022-0020","DOIUrl":"https://doi.org/10.34768/amcs-2022-0020","url":null,"abstract":"Abstract In this paper, we propose a multi-group SEIR epidemic model with spatial diffusion, where the model parameters are spatially heterogeneous. The positivity and ultimate boundedness of the solution, as well as the existence of a global attractor of the associated solution semiflow, are established. The definition of the basic reproduction number is given by utilizing the next generation operator approach, whereby threshold-type results on the global dynamics in terms of this number are established. That is, when the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, while if it is greater than one, uniform persistence of this model is proved. Finally, the feasibility of the main theoretical results is shown with the aid of numerical examples for a model with two groups.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"44 1","pages":"271 - 283"},"PeriodicalIF":1.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89911796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fast and Smooth Trajectory Planning for a Class of Linear Systems Based on Parameter and Constraint Reduction 一类基于参数约简和约束约简的线性系统快速平滑轨迹规划
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0002
Guangyu Liu, Shangliang Wu, Ling Zhu, Jiajun Wang, Q. Lv
{"title":"Fast and Smooth Trajectory Planning for a Class of Linear Systems Based on Parameter and Constraint Reduction","authors":"Guangyu Liu, Shangliang Wu, Ling Zhu, Jiajun Wang, Q. Lv","doi":"10.34768/amcs-2022-0002","DOIUrl":"https://doi.org/10.34768/amcs-2022-0002","url":null,"abstract":"Abstract Fast and smooth trajectory planning is crucial for modern control systems, e.g., missiles, aircraft, robots and AGVs. However, classical spline based trajectory planning tools introduce redundant constraints and parameters, leading to high costs of computation and complicating fast and smooth execution of trajectory planning tasks. A new tool is proposed that employs truncated power functions to annihilate some constraints and reduce the number of parameters in the optimal model. It enables solving a simplified optimal problem in a shorter time while keeping the trajectory sufficiently smooth. With an engineering background, our case studies show that the proposed method has advantages over other solutions. It is promising in regard to the demanding tasks of trajectory planning.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"44 1","pages":"11 - 21"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89001696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Sensor Location for Travel Time Estimation Based on the User Equilibrium Principle: Application of Linear Equations 基于用户平衡原理的行程时间估计传感器定位:线性方程的应用
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0003
Shuhan Cao, H. Shao, Fengru Shao
{"title":"Sensor Location for Travel Time Estimation Based on the User Equilibrium Principle: Application of Linear Equations","authors":"Shuhan Cao, H. Shao, Fengru Shao","doi":"10.34768/amcs-2022-0003","DOIUrl":"https://doi.org/10.34768/amcs-2022-0003","url":null,"abstract":"Abstract Travel time is a fundamental measure in any transportation system. With the development of technology, travel time can be automatically collected by a variety of advanced sensors. However, limited by objective conditions, it is difficult for any sensor system to cover the whole transportation network in real time. In order to estimate the travel time of the whole transportation network, this paper gives a system of linear equations which is constructed by the user equilibrium (UE) principle and observed data. The travel time of a link which is not covered by a sensor can be calculated by using the observed data collected by sensors. In a typical transportation network, the minimum number and location of sensors to estimate the travel time of the whole network are given based on the properties of the solution of a systems of linear equations. The results show that, in a typical network, the number and location of sensors follow a certain law. The results of this study can provide reference for the development of transportation and provide a scientific basis for transportation planning.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"26 1","pages":"23 - 33"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90856255","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Non–Standard Analysis Revisited: An Easy Axiomatic Presentation Oriented Towards Numerical Applications 重新审视非标准分析:面向数值应用的简单公理表示
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0006
V. Benci, M. Cococcioni, Lorenzo Fiaschi
{"title":"Non–Standard Analysis Revisited: An Easy Axiomatic Presentation Oriented Towards Numerical Applications","authors":"V. Benci, M. Cococcioni, Lorenzo Fiaschi","doi":"10.34768/amcs-2022-0006","DOIUrl":"https://doi.org/10.34768/amcs-2022-0006","url":null,"abstract":"Abstract Alpha-Theory was introduced in 1995 to provide a simplified version of Robinson’s non-standard analysis which overcomes the technicalities of symbolic logic. The theory has been improved over the years, and recently it has been used also to solve practical problems in a pure numerical way, thanks to the introduction of algorithmic numbers. In this paper, we introduce Alpha-Theory using a novel axiomatic approach oriented towards real-world applications, to avoid the need to master mathematical logic and model theory. To corroborate the strong link of this Alpha-Theory axiomatization and scientific computations, we report numerical illustrative applications never carried out by means of non-standard numbers within a computer, i.e., the computation of the eigenvalues of a non-Archimedean matrix, some computations related to non-Archimedean Markov chains, and the Cholesky factorization of a non-Archimedean matrix. We also highlight the differences between our numerical routines and pure symbolic approaches: as expected, the former scales better when the dimension of the problem increases.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"208 1","pages":"65 - 80"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72424723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
A Data Association Model for Analysis of Crowd Structure 人群结构分析的数据关联模型
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0007
M. S. Zitouni, A. Sluzek
{"title":"A Data Association Model for Analysis of Crowd Structure","authors":"M. S. Zitouni, A. Sluzek","doi":"10.34768/amcs-2022-0007","DOIUrl":"https://doi.org/10.34768/amcs-2022-0007","url":null,"abstract":"Abstract The paper discusses a non-deterministic model for data association tasks in visual surveillance of crowds. Using detection and tracking of crowd components (i.e., individuals and groups) as baseline tools, we propose a simple algebraic framework for maintaining data association (continuity of labels assigned to crowd components) between subsequent video-frames in spite of possible disruptions and inaccuracies in tracking/detection algorithms. Formally, two alternative schemes (which, in practice, can be jointly used) are introduced, depending on whether individuals or groups can be prospectively better tracked in the current scenario. In the first scheme, only individuals are tracked, and the continuity of group labels is inferred without explicitly tracking the groups. In the second scheme, only group tracking is performed, and associations between individuals are inferred from group tracking. The associations are built upon non-deterministic estimates of memberships (individuals in groups) and estimates obtained directly from the baseline detection and tracking algorithms. The framework can incorporate any detectors and trackers (both classical or DL-based) as long as they can provide some geometric outlines (e.g., bounding boxes) of the crowd components. The formal analysis is supported by experiments in exemplary scenarios, where the framework provides meaningful performance improvements in various crowd analysis tasks.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"23 1","pages":"81 - 94"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73195417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Performance Analysis of a Dual Stage Deep Rain Streak Removal Convolution Neural Network Module with a Modified Deep Residual Dense Network 基于改进深度残差密集网络的双级深度雨纹去除卷积神经网络模块性能分析
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0009
Thiyagarajan Jayaraman, G. Chinnusamy
{"title":"Performance Analysis of a Dual Stage Deep Rain Streak Removal Convolution Neural Network Module with a Modified Deep Residual Dense Network","authors":"Thiyagarajan Jayaraman, G. Chinnusamy","doi":"10.34768/amcs-2022-0009","DOIUrl":"https://doi.org/10.34768/amcs-2022-0009","url":null,"abstract":"Abstract The visual appearance of outdoor captured images is affected by various weather conditions, such as rain patterns, haze, fog and snow. The rain pattern creates more degradation in the visual quality of the image due to its physical structure compared with other weather conditions. Also, the rain pattern affects both foreground and background image information. The removal of rain patterns from a single image is a critical process, and more attention is given to remove the structural rain pattern from real-time rain images. In this paper, we analyze the single image deraining problem and present a solution using the dual stage deep rain streak removal convolutional neural network. The proposed single image deraining framework primarily consists of three main blocks: a derain streaks removal CNN (derain SRCNN), a modified residual dense block (MRDB), and a six-stage scale feature aggregation module (3SFAM). The ablation study is conducted to evaluate the performance of various modules available in the proposed deraining network. The robustness of the proposed deraining network is evaluated over the popular synthetic and real-time data sets using four performance metrics such as the peak signal-to-noise ratio (PSNR), the feature similarity index (FSIM), the structural similarity index measure (SSIM), and the universal image quality index (UIQI). The experimental results show that the proposed framework outperforms both synthetic and real-time images compared with other state-of-the-art single image deraining approaches. In addition, the proposed network takes less running and training time.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"300 1","pages":"111 - 123"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79683536","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Feasible Schedule for Parallel Assembly Tasks in Flexible Manufacturing Systems 柔性制造系统中并行装配任务的可行调度
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0005
Pawel Majdzik
{"title":"A Feasible Schedule for Parallel Assembly Tasks in Flexible Manufacturing Systems","authors":"Pawel Majdzik","doi":"10.34768/amcs-2022-0005","DOIUrl":"https://doi.org/10.34768/amcs-2022-0005","url":null,"abstract":"Abstract The paper concerns the design of a framework for implementing fault-tolerant control of hybrid assembly systems that connect human operators and fully automated technical systems. The main difficulty in such systems is related to delays that result from objective factors influencing human operators’ work, e.g., fatigue, experience, etc. As the battery assembly system can be considered a firm real-time one, these delays are treated as faults. The presented approach guarantees real-time compensation of delays, and the fully automated part of the system is responsible for this compensation. The paper begins with a detailed description of a battery assembly system in which two cooperating parts can be distinguished: fully automatic and semi-automatic. The latter, nonderministic in nature, is the main focus of this paper. To describe and analyze the states of the battery assembly system, instead of the most commonly used simulation, the classic max-plus algebra with an extension allowing one to express non-deterministic human operators’ work is used. In order to synchronize tasks and schedule (according to the reference schedule) automated and human operators’ tasks, it is proposed to use a wireless IoT platform called KIS.ME. As a result, it allows a reference model of human performance to be defined using fuzzy logic. Having such a model, predictive delays tolerant planning is proposed. The final part of the paper presents the achieved results, which clearly indicate the potential benefits that can be obtained by combining the wireless KIS.ME architecture (allocated in the semi-automatic part of the system) with wired standard production networks.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"5 1","pages":"51 - 63"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88638221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Template Chart Detection for Stoma Telediagnosis 模板图检测在气孔远程诊断中的应用
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0012
M. Szwoch, Rafał Zawiślak, Grzegorz Granosik, Joanna Mik-Wojtczak, M. Mik
{"title":"Template Chart Detection for Stoma Telediagnosis","authors":"M. Szwoch, Rafał Zawiślak, Grzegorz Granosik, Joanna Mik-Wojtczak, M. Mik","doi":"10.34768/amcs-2022-0012","DOIUrl":"https://doi.org/10.34768/amcs-2022-0012","url":null,"abstract":"Abstract The paper presents the concept of using color template charts for the needs of telemedicine, particularly telediagnosis of the stoma. Although the concept is not new, the current popularity and level of development of digital cameras, especially those embedded in smartphones, allow common and reliable remote advice on various medical problems, which can be very important in the case of limitations in a physical contact with a doctor. The article focuses on the initial stages of photo processing for the needs of telemedicine, i.e., on the assumptions and the process of designing the appropriate template and detecting it in photos for stoma telediagnosis. Research on the developed algorithms for the location of fiducial markers and reference color fields, carried out on the basis of over 2,000 photos, showed a very high tolerance to scene exposure, lighting conditions and the camera used. The obtained results allowed the initial image intensity normalization of the stoma area as well as correct localization and measurement of changes detected on the skin and the mucosa, which, in the opinion of doctors, significantly increased the diagnostic value of the photographs.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"72 6","pages":"147 - 160"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72498697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Global Stability of Discrete–Time Feedback Nonlinear Systems with Descriptor Positive Linear Parts and Interval State Matrices 具有广义正线性部分和区间状态矩阵的离散时间反馈非线性系统的全局稳定性
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0001
T. Kaczorek, A. Ruszewski
{"title":"Global Stability of Discrete–Time Feedback Nonlinear Systems with Descriptor Positive Linear Parts and Interval State Matrices","authors":"T. Kaczorek, A. Ruszewski","doi":"10.34768/amcs-2022-0001","DOIUrl":"https://doi.org/10.34768/amcs-2022-0001","url":null,"abstract":"Abstract The global stability of discrete-time nonlinear systems with descriptor positive linear parts, positive scalar feedbacks and interval state matrices is addressed. Sufficient conditions for the global stability of this class of nonlinear systems are established. The effectiveness of these conditions is illustrated using numerical examples.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"33 1","pages":"5 - 10"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73500841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Hybrid Cryptography with a One–Time Stamp to Secure Contact Tracing for COVID–19 Infection 带有一次性戳记的混合加密技术可确保COVID-19感染的接触者追踪
IF 1.9 4区 计算机科学
International Journal of Applied Mathematics and Computer Science Pub Date : 2022-03-01 DOI: 10.34768/amcs-2022-0011
A. El-Douh, Song Lu, Abdelatif A. Elkouny, A. Amein
{"title":"Hybrid Cryptography with a One–Time Stamp to Secure Contact Tracing for COVID–19 Infection","authors":"A. El-Douh, Song Lu, Abdelatif A. Elkouny, A. Amein","doi":"10.34768/amcs-2022-0011","DOIUrl":"https://doi.org/10.34768/amcs-2022-0011","url":null,"abstract":"Abstract The COVID-19 pandemic changed the lives of millions of citizens worldwide in the manner they live and work to the so-called new norm in social standards. In addition to the extraordinary effects on society, the pandemic created a range of unique circumstances associated with cybercrime that also affected society and business. The anxiety due to the pandemic increased the probability of successful cyberattacks and as well as their number and range. For public health officials and communities, location tracking is an essential component in the efforts to combat the disease. The governments provide a lot of mobile apps to help health officials to trace the infected persons and contact them to aid and follow up on the health status, which requires an exchange of data in different forms. This paper presents the one-time stamp model as a new cryptography technique to secure different contact forms and protect the privacy of the infected person. The one-time stamp hybrid model consists of a combination of symmetric, asymmetric, and hashing cryptography in an entirely new way that is different from conventional and similar existing algorithms. Several experiments have been carried out to analyze and examine the proposed technique. Also, a comparison study has been made between our proposed technique and other state-of-the-art alternatives. Results show that the proposed one-time stamp model provides a high level of security for the encryption of sensitive data relative to other similar techniques with no extra computational cost besides faster processing time.","PeriodicalId":50339,"journal":{"name":"International Journal of Applied Mathematics and Computer Science","volume":"233 1","pages":"139 - 146"},"PeriodicalIF":1.9,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81123746","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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