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String Viscous Fluid Cosmological Model in the Framework of Sen-Dunn Theory of Gravitation 森-邓恩引力理论框架下的弦粘性流体宇宙学模型
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.134
P. Lambat, A. M. Pund
Objective: To present a new solution to the field equations for higher-dimensional Bianchi type-III string viscous fluid cosmological model in the context of the Sen-Dunn theory of gravity. Methods: To obtain definite solution of the field equations, we consider a power law relation between the scale factor and scalar field, and we take into account two distinct scale factors, and , in which , are positive constants. This produces a time-dependent deceleration parameter. We analyse the model with constant bulk viscosity constant to explain the current accelerated expansion of the universe. Findings: Spatial volume of the model increases with cosmic time, which shows that universe is spatially expanding. Also, the model possesses a point-type singularity. It is noted that these models depict the universe's accelerated expansion. Novelty: We obtained new solution to the field equations for higher dimensional Bianchi type-III generated by means of a cloud of strings with bulk viscous fluid in Sen-Dunn theory by using quadratic form. Keywords: Bianchi type-III, Cosmic string, Bulk viscosity, Sen-Dunn Theory
目的:以森-邓恩引力理论为背景,提出高维比安奇 III 型弦粘性流体宇宙学模型场方程的新解。方法:为了得到场方程的定解,我们考虑了尺度因子和标量场之间的幂律关系,并考虑了两个不同的尺度因子,和 ,其中 , ,是正常数。这就产生了一个随时间变化的减速参数。我们分析了具有恒定体积粘度常数的模型,以解释当前宇宙的加速膨胀。研究结果模型的空间体积随着宇宙时间的推移而增大,这表明宇宙在空间上不断膨胀。此外,模型还具有点型奇点。这些模型描述了宇宙加速膨胀的过程。新颖性:我们用二次方程的形式得到了森-邓恩理论中由带有粘性流体的弦云产生的高维比安奇-III型的场方程的新解。关键词比安奇-III型 宇宙弦 体积粘性 森-邓恩理论
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引用次数: 0
Optimizing High Data Rate Up to 2.5 Tbps Transmission using 64-Channel DWDM System with DCF and NRZ Modulation 使用 DCF 和 NRZ 调制的 64 通道 DWDM 系统优化高达 2.5 Tbps 的高数据速率传输
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.859
Ruturaj Thummar, Dharmendra Dhadhal, Vivekanand Mishra
Objectives: This study aims to enhance and optimize a modern communication system for high data rate transmission using Dense Wavelength Division Multiplexing (DWDM). The objectives include employing a 64-channel DWDM system, implementing different data speeds, and utilizing a dispersion compensation method. Methods: To achieve the objectives, we simulate and analyze the effects of Dispersion Compensation Fiber (DCF) in a DWDM system with 64 channels. The system employs Non-Return-to-Zero (NRZ) modulation format at varied bit rates and multiple energy levels. We propose a method for achieving data rates of 10 to 40 Gbps using NRZ modulation and Erbium-Doped Fiber Amplifier (EDFA) over a single-mode fiber transmission distance of 40 to 160 km, along with a dispersion compensation fiber of 8 to 32 km (DCF). The performance of the developed model is evaluated based on Quality Factor, Bit Error Rate (BER), Eye Height, and Threshold. These metrics are measured at two input energy levels from an optical power source, covering a communication capacity ranging from 0.625 Tbps to 2.5 Tbps. Findings: Through the simulations and analyses, we uncover the impact of dispersion and demonstrate the effectiveness of the proposed method in compensating for dispersion effects. Performance analysis of two different input transmitter power levels, -10 dBm is more efficient compared to 0 dBm input transmitter power in terms of bit error rate and quality factor. Novelty: This study presents a novel approach to improving modern communication systems by utilizing DWDM with a dispersion compensation method. The use of a 64-channel DWDM system, combined with the proposed NRZ modulation technique and dispersion compensation fiber, provides an efficient solution for achieving high data rates over long transmission distances while minimizing the effects of dispersion. The findings contribute to the advancement of communication systems for high data rate transmission. Keywords Dispersion effect, Bit Error Rate, Q-factor, Optisystem software, Erbium doped fiber amplifier
研究目的本研究旨在利用密集波分复用技术(DWDM)增强和优化现代通信系统,以实现高数据速率传输。目标包括采用 64 信道 DWDM 系统、实现不同的数据传输速率以及利用色散补偿方法。方法:为实现上述目标,我们模拟并分析了色散补偿光纤(DCF)在 64 信道 DWDM 系统中的效果。该系统采用不同比特率和多能级的非归零(NRZ)调制格式。我们提出了一种方法,利用 NRZ 调制和掺铒光纤放大器(EDFA),在 40 至 160 千米的单模光纤传输距离上,以及 8 至 32 千米的色散补偿光纤(DCF)上实现 10 至 40 Gbps 的数据传输速率。根据品质因数、比特误码率 (BER)、眼高和阈值对所开发模型的性能进行了评估。这些指标是在光功率源的两种输入能量水平下测量的,涵盖 0.625 Tbps 至 2.5 Tbps 的通信容量。研究结果通过模拟和分析,我们发现了色散的影响,并证明了所提出的方法在补偿色散效应方面的有效性。通过对两种不同输入发射机功率水平的性能分析,就误码率和质量因子而言,-10 dBm 的输入发射机功率比 0 dBm 的输入发射机功率更有效。新颖性:这项研究提出了一种利用 DWDM 和色散补偿方法改进现代通信系统的新方法。使用 64 信道 DWDM 系统,结合所提出的 NRZ 调制技术和色散补偿光纤,为在长距离传输中实现高数据速率提供了有效的解决方案,同时将色散的影响降至最低。这些研究成果有助于推动高数据传输速率通信系统的发展。关键词 色散效应 比特误码率 Q 因子 Optisystem 软件 掺铒光纤放大器
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引用次数: 0
Evaluation of the Efficiency and Effectiveness of MRI in the Diagnosis of Chronic Shoulder Pain 评估核磁共振成像诊断慢性肩痛的效率和效果
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.202
Irfan Ahmad Malla, Sehrish Manzoor, Zubair ul Islam Ganie, Maajid Mohi Ud Din Malik
Objective: This study aimed to evaluate MRI efficiency in diagnosing chronic shoulder pain causes. Chronic shoulder pain accounts for 5% of musculoskeletal consultations. Method: Thirty-four chronic shoulder pain patients (18-65 years) underwent shoulder MRI. Sequences included T1-weighted, T2-weighted, proton density, and STIR for comprehensive analysis. All patients were clinically diagnosed with chronic shoulder pain prior to imaging. Finding: One patient (1.96%) had normal MRI findings. Thirty-three patients (98.04%) had abnormalities. Rotator cuff injuries were most prevalent, especially partial supraspinatus tears (18.63%). Other findings included bursitis, joint effusion, AC arthropathy, Hill Sachs deformity, AC joint impingement, rotator cuff fatty atrophy, and biceps tendinopathy. Conclusion: MRI provided excellent visualization of soft tissue pathologies causing chronic shoulder pain, noninvasively without ionizing radiation. Combining MRI sequences accurately diagnosed various shoulder conditions. Fat suppression sequences were key for identifying rotator cuff tears. MRI is the gold standard for diagnosing rotator cuff injuries, the most common chronic shoulder pain cause. Novelty: This study demonstrates MRI's utility for evaluating chronic shoulder pain causes. While no single sequence visualizes all shoulder pathologies, using T1-weighted, T2-weighted, proton density, and STIR sequences together provides a comprehensive analysis to guide appropriate patient treatment. Keywords MRI, Chronic shoulder pain, Rotator cuff, Joint effusion, frozen shoulder
研究目的本研究旨在评估核磁共振成像在诊断慢性肩痛病因方面的效率。慢性肩痛占肌肉骨骼科就诊人数的 5%。方法:对 34 名慢性肩痛患者(18-65 岁)进行磁共振成像检查:34 名慢性肩痛患者(18-65 岁)接受了肩部核磁共振成像检查。序列包括 T1 加权、T2 加权、质子密度和 STIR,以进行综合分析。所有患者在成像前均经临床诊断为慢性肩痛。结果一名患者(1.96%)的磁共振成像结果正常。33名患者(98.04%)出现异常。肩袖损伤最为常见,尤其是冈上肌部分撕裂(18.63%)。其他检查结果包括滑囊炎、关节积液、交流关节病、希尔-萨克斯畸形、交流关节撞击、肩袖脂肪萎缩和肱二头肌肌腱病。结论核磁共振成像能在无电离辐射的情况下,以非侵入性的方式清晰显示导致慢性肩痛的软组织病变。结合核磁共振成像序列可准确诊断各种肩部疾病。脂肪抑制序列是识别肩袖撕裂的关键。核磁共振成像是诊断肩袖损伤(最常见的慢性肩痛原因)的黄金标准。新颖性:这项研究证明了核磁共振成像在评估慢性肩痛病因方面的实用性。虽然没有一种序列能显示所有肩部病变,但同时使用 T1 加权、T2 加权、质子密度和 STIR 序列可提供全面的分析,从而指导对患者进行适当的治疗。关键词 MRI 慢性肩痛 肩袖 关节积液 肩周炎
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引用次数: 0
A Two-Phase Approach for Efficient Traffic Sign Detection and Recognition 高效交通标志检测和识别的两阶段方法
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.2985
S. Uma, S. Prateeksha, V. Padmapriya
Objectives: The objective of this study is to enhance the accuracy of traffic sign detection and recognition in modern intelligent transport systems, addressing real-time challenges under varying conditions. Methods: A two-phase approach is adopted. The first phase employs the You Only Look Once version 8 (YOLOv8) architecture to efficiently detect traffic signs under real-time conditions, considering variables like adverse weather and obstructions. Subsequently, the second phase employs a sequential convolutional network for precise recognition, utilizing the output from the first phase. This integrated method enhances traffic sign detection and recognition, contributing to road safety and efficient traffic management in complex transportation scenarios. Findings: The YOLOv8 architecture, utilized in Phase 1, demonstrated exceptional performance with a mean Average Precision (mAP) of 0.986 during validation. In Phase 2, the Convolutional Neural Network (CNN)-based recognition model achieved an impressive test accuracy of 98.7% on 463 test images, with a low-test loss of 0.1186, indicating consistent accuracy. The robustness of both models is confirmed by successful testing with three unseen images. YOLOv8 accurately detected and classified these images, while the CNN model correctly recognized them. These findings underscore the effectiveness of the two-phase approach in enhancing traffic sign detection and recognition, with significant implications for improving road safety and traffic management in real-world scenarios. Novelty: The novelty of this approach lies in its seamless integration of YOLOv8 for efficient traffic sign detection and a sequential convolutional network for accurate recognition, offering a significant advancement in addressing real-time challenges and contributing to enhancing road safety and traffic management in an increasingly complex transportation landscape. Keywords: Traffic sign detection, Traffic sign recognition, Convolutional Neural Networks, YOLOv8, Object detection
研究目的本研究旨在提高现代智能交通系统中交通标志检测和识别的准确性,解决不同条件下的实时挑战。研究方法采用两阶段方法。第一阶段采用 You Only Look Once version 8(YOLOv8)架构,在实时条件下高效检测交通标志,同时考虑恶劣天气和障碍物等变量。随后,第二阶段采用顺序卷积网络,利用第一阶段的输出进行精确识别。这种集成方法增强了交通标志的检测和识别能力,有助于在复杂的交通场景中提高道路安全和交通管理效率。研究结果第一阶段使用的 YOLOv8 架构在验证过程中表现优异,平均精度 (mAP) 达到 0.986。在第二阶段,基于卷积神经网络(CNN)的识别模型在 463 张测试图像上取得了令人印象深刻的 98.7% 测试准确率,测试损失率低至 0.1186,表明准确率始终如一。使用三张未见图像进行的成功测试证实了这两个模型的鲁棒性。YOLOv8 准确地检测了这些图像并进行了分类,而 CNN 模型则正确地识别了这些图像。这些发现强调了两阶段方法在增强交通标志检测和识别方面的有效性,对改善现实世界场景中的道路安全和交通管理具有重要意义。新颖性:这种方法的新颖性在于它无缝集成了用于高效交通标志检测的 YOLOv8 和用于准确识别的顺序卷积网络,在应对实时挑战方面取得了重大进展,有助于在日益复杂的交通环境中加强道路安全和交通管理。关键词交通标志检测 交通标志识别 卷积神经网络 YOLOv8 物体检测
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引用次数: 0
Solving Linear and Nonlinear Fuzzy Fractional Volterra-Fredholm Integro Differential Equations Using Shehu Adomian Decomposition Method 用 Shehu Adomian 分解法求解线性和非线性模糊分式 Volterra-Fredholm 积分微分方程
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.156
S. L. Savla, R. G. Sharmila
Objectives: In applied sciences and engineering, fuzzy fractional differential equations (FFDEs) and fuzzy fractional integral equations (FFIEs) are a crucial topic. The main objective of this work is to discover an analytical approximate solution for the fuzzy fractional Volterra-Fredholm integro differential equations (FFVFIDE). In the Caputo concept, fractional derivatives are regarded. Methods: The Shehu transform is challenging to exist for nonlinear problems. So, the Shehu transform is combined with the Adomian decomposition method is called the Shehu Adomian decomposition method (SHADM) and has been proposed to solve both linear and nonlinear FFVFIDEs. Findings: Both linear and nonlinear FFVIFIDEs can be solved using this technique. For nonlinear terms, Adomian polynomials have been used. The main benefit of this approach is that it converges quickly to the exact solution. Figures and numerical examples demonstrate the expertise of the suggested approach. Novelty: The comparison between the exact solution and numerical solution is shown in figures for various values of fractional order . The numerical evolution demonstrates the efficiency and reliability of the proposed SHADM. The proposed approach is rapid, exact, and simple to apply and produce excellent outcomes. Keywords: Fractional calculus, fuzzy number, Mittag ­ Leffler function, Shehu Adomian decomposition method, fuzzy fractional Volterra­-Fredholm integro differential equation
目的:在应用科学和工程领域,模糊分数微分方程(FFDE)和模糊分数积分方程(FFIE)是一个重要课题。这项工作的主要目的是发现模糊分数 Volterra-Fredholm 积分微分方程(FFVFIDE)的解析近似解。在 Caputo 概念中,分数导数被视为分数导数。方法:对于非线性问题,Shehu 变换是一个挑战。因此,将 Shehu 变换与 Adomian 分解法相结合,称为 Shehu Adomian 分解法 (SHADM),并被提出用于求解线性和非线性 FFVFIDE。研究结果线性和非线性 FFVIFIDE 都可以用这种技术求解。对于非线性项,使用了 Adomian 多项式。这种方法的主要优点是能快速收敛到精确解。图表和数字示例展示了所建议方法的专业性。新颖性:精确解与数值解之间的比较通过不同分数阶值的数字显示出来。数值演化证明了所建议的 SHADM 方法的效率和可靠性。建议的方法快速、精确、简单易用,并能产生出色的结果。关键词分式微积分、模糊数、Mittag Leffler 函数、Shehu Adomian 分解法、模糊分式 Volterra-Fredholm 积分微分方程
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引用次数: 0
Lattice Ordered G􀀀Semirings 网格有序 G􀀀Semirings
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.3184
Tilak Raj Sharma, Rajesh Kumar
Objectives: The main objective of this paper is to derive some of the results of lattice ordered semirings, distributive lattice, lattice ideals and morphisms. Methods: To establish the results, we use some conditions like commutativity, simple, multiplicative idempotent, additively idempotent, and finally, use the concept of lattice ideal in semirings. Findings: First we give some examples of lattice ordered semirings and then study some results regarding lattices, distributive lattices, commutative lattice ordered semirings and finally lattice ideals and morphisms. The unique feature of this study is that the concept of gamma is new for the study of lattices. Novelty: We consider a condition (c.f. Theorem 4.1.5) for an additively idempotent semiring due to which it becomes a distributive lattice ordered semiring. Again, in general, the sum of ideals of a semiring need not be ideal. Indeed, and are ideals of is a set of non-negative integers. Clearly, (say) is not a ideal, because , but . However, this condition does not hold in the case of a lattice ordered semiring. AMS Mathematics subject classification (2020): 16Y60. Keywords: Lattices, additive idempotent, multiplicative Γ-idempotent, k-ideal, lattice ideal, Γ-morphism
研究目的本文的主要目的是推导格子有序语义、分布格子、格子理想和态式的一些结果。方法:为了建立这些结果,我们使用了一些条件,如交换性、简单性、乘法幂等性、加法幂等性,最后,我们还使用了符号中的格理想概念。研究结果首先,我们给出了一些格有序语义的例子,然后研究了有关格、分布格、交换格有序语义的一些结果,最后研究了格理想和态式。本研究的独特之处在于伽马概念是研究格的新概念。新颖性:我们考虑了一个可加可幂半线的条件(参见定理 4.1.5),由于这个条件,它成为了一个可分配的格有序半线。同样,一般来说,一个配系的理想之和不一定是理想的。事实上, 和 是非负整数集的理想。显然, (说) 不是理想数,因为 ,但是 。然而,这个条件在格有序配系的情况下并不成立。美国数学会数学学科分类(2020):16Y60.关键词:网格;加法幂等式;乘法Γ幂等式;k理想;网格理想;Γ态
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引用次数: 0
On the Solution of Blasius Boundary Layer Equations of Prandtl-Eyring Fluid Flow Past a Stretching Sheet 论普朗特-艾因流体流过拉伸片的布拉修斯边界层方程求解
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.2055
Hiteshkumar G Bariya, Manisha P Patel
Objective: This paper investigates velocity profile for two-dimensional, incompressible, laminar forced convection flow of the fluid model for Prandtl-Eyring fluid past a stretching sheet in the presence of fluid parameters. Methods: The governing partial differential equation for the flow was transformed into non-linear ordinary differential equation by using the deductive one parameter group theoretic method and numerical solution of non-linear ordinary differential equation (ODE) is solved by MATLAB bvp4c solver. Findings: The solution of velocity profile obtained as a function of parameter and . The effect of the fluid parameter was discussed graphically. Novelty: The main goal of this article is to analyze boundary layer flow of Prandtl-Eyring fluid over a stretching surface. The conservation equations of mass, momentum are converted into non-linear ordinary differential equations along with boundary conditions using deductive one parameter group theoretic method and solved by MATLAB ODE solver. Comparisons with previously published works are made, and results show a high level of agreement. This type of research is applicable to extrusion, paper production, fiber glass production, hot rolling, condensation process, crystal growing, polymer sheets etc. Keywords: Boundary layer, laminar flow, Deductive one parameter Group theoretic method, Absolute invariant, Stretching Sheet, Prandtl-Eyring fluid
目的:本文研究了普朗特-艾林流体模型在存在流体参数的情况下流经拉伸片的二维、不可压缩、层流强制对流的速度曲线。方法使用演绎一参数群论方法将流动的支配偏微分方程转换为非线性常微分方程,并使用 MATLAB bvp4c 求解器对非线性常微分方程进行数值求解。研究结果求得的速度曲线是参数 和 的函数。图解讨论了流体参数的影响。新颖性:本文的主要目的是分析普朗特-艾林流体在拉伸表面上的边界层流动。使用演绎一参数群论方法将质量、动量守恒方程转化为非线性常微分方程以及边界条件,并使用 MATLAB ODE 求解器进行求解。与之前发表的作品进行了比较,结果显示两者高度一致。这类研究适用于挤压、造纸、玻璃纤维生产、热轧、冷凝过程、晶体生长、聚合物片材等领域。关键词边界层、层流、演绎单参数群论法、绝对不变式、拉伸片、普朗特-艾林流体
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引用次数: 0
Multiclass Classification and Identification of the External Eye Diseases using Deep CNN 使用深度 CNN 对眼外疾病进行多类分类和识别
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.21
Faizur Rashid, Jamal Abate, Afendi Abdi
Objective: These eye illnesses can be either internal eye diseases or external eye diseases. The purpose of research is to find the right model for better performance to identify the external eye disease. The model is customised with 16- layers CNN using multiclass classification. Method: The Deep CNN techniques are utilized with multiclass classification, and the model is developed using Vgg16 with different dropout rates of 0.25 and 0.50 to improve accuracy and performance. In this work, a deep convolutional neural network model is proposed to classify and identify external eye diseases like conjunctivitis, blepharitis, and cellulitis. Datasets were taken in 80:20 randomly from blepharitis, cellulitis, and Conjunctivitis to test (242) and train (968) the model after pre-processing. Novelty: The model is novel and unique using deep CNN, Vgg16, and multiclass classification because it has never been classified and predicted previously for external eye disease. Additionally, Vgg16 with dropout rates of 0.25 and 0.50 was not tested. The model is penetrated into fully connected (FC) layers with different dropout rates. Findings: The accuracy of 98.48% and 0.976% for deep CNN and multiclass classification consecutively produced satisfactory results. The efficiency of R2 is evaluated with multiple classes of data that resulted in a range of 0.425 - 0.775 with k = 10 folds. Vgg16 attains the highest performance of 71.54% with changed dropout rates. The effects of fundus in the ocular, such as retinopathy and AMD, can be examined in the future with segmented data using CNN for better optimization. On account of biological changes in eye and retinal structure, models might be constructed or studied. Keywords: Multiclass Classification, Identification, Deep CNN, External Eye Disease, Evaluation
目的:眼疾既可以是内眼疾,也可以是外眼疾。研究的目的是找到合适的模型,以更好地识别外部眼疾。该模型由 16 层 CNN 定制,采用多类分类法。方法:利用深度 CNN 技术进行多类分类,并使用 Vgg16 开发模型,采用 0.25 和 0.50 的不同辍学率来提高准确率和性能。在这项工作中,提出了一种深度卷积神经网络模型,用于分类和识别结膜炎、睑缘炎和蜂窝织炎等外眼病。数据集以 80:20 的比例从眼睑炎、蜂窝组织炎和结膜炎中随机抽取,经过预处理后对模型进行测试(242 个)和训练(968 个)。新颖性:该模型使用深度 CNN、Vgg16 和多类分类,具有新颖性和独特性,因为以前从未对外部眼病进行过分类和预测。此外,Vgg16 的辍学率为 0.25 和 0.50,也未进行过测试。该模型渗透到具有不同辍学率的全连接(FC)层中。结果深度 CNN 和多类分类的准确率分别为 98.48% 和 0.976%,结果令人满意。使用多类数据对 R2 的效率进行了评估,结果在 0.425 - 0.775 之间,k = 10 倍。Vgg16 的性能最高,达到 71.54%,辍学率也有所改变。眼底对视网膜病变和老年性视网膜病变等眼部疾病的影响,可在未来利用 CNN 分段数据进行研究,以实现更好的优化。考虑到眼睛和视网膜结构的生物变化,可能会构建或研究一些模型。关键词多类分类 识别 深度 CNN 外眼病 评估
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引用次数: 0
Progression of COVID-19 Cases in Telangana State by using ARIMA, MLP, ELM and LSTM Prediction Models by Retrospective Confirmation 通过回顾性确认使用 ARIMA、MLP、ELM 和 LSTM 预测模型分析 Telangana 邦 COVID-19 病例的进展情况
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.211
M. Rajendar, D. M. Reddy, M. Nagesh, V. Nagaraju
Objective: The importance of this research article is to evaluate efficient model for diagnosing pandemic COVID-19 positive cases in Telangana State, India. Method: Neural Network models (Extreme Learning Machine and Multi-Layer Perception), Deep Learning Neural Network model (Long Short Term Memory-LSTM) and traditional Auto Regressive Integrated Moving Average (ARIMA) models were applied and the data was converted from non-linear to linear (stationarity) for forecasting Covid-19 positive cases. The study of the data covered from 1st. Dec 2020 to 30th May 2021. 80% of train data was taken to fit the models and then 20% of the test data was used to predict the values. The deviation between original test data and predicted data led to an error. Among these error values, the model which had minimum errors was considered as the best of the four models. Findings: LSTM model was proved to be the most efficient model, as a result of the least Root mean square error (RMSE = 71.12) compared to ARIMA (258.20), ELM (553.67) and MLP (641.86) values. Novelty: These forecasting methods succour to predict the Covid-19 positive cases in the forthcoming days. This has been suggested for taking the better preventive steps to control the Covid-19 positive cases. Keywords: COVID­19, ARIMA, LSTM, MLP, ELM Forecasting
目的:本研究文章的重要性在于评估印度泰兰加纳邦诊断 COVID-19 阳性大流行病例的有效模式。方法应用神经网络模型(极限学习机和多层感知)、深度学习神经网络模型(长短期记忆-LSTM)和传统的自回归综合移动平均(ARIMA)模型,并将数据从非线性转换为线性(静态),以预测 COVID-19 阳性病例。研究数据的时间跨度为 2020 年 12 月 1 日至 2020 年 5 月 30 日。2020年12月1日至2021年5月30日。先用 80% 的训练数据拟合模型,再用 20% 的测试数据预测数值。原始测试数据与预测数据之间的偏差会导致误差。在这些误差值中,误差最小的模型被认为是四个模型中最好的。研究结果与 ARIMA(258.20)、ELM(553.67)和 MLP(641.86)相比,LSTM 模型的均方根误差(RMSE = 71.12)最小,因此被证明是最有效的模型。新颖性:这些预测方法有助于预测未来几天的 Covid-19 阳性病例。建议采取更好的预防措施来控制 Covid-19 阳性病例。关键词COVID19、ARIMA、LSTM、MLP、ELM 预测
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引用次数: 0
Poisson Input and Exponential Service Time Finite Capacity Interdependent Queueing Model with Breakdown and Controllable Arrival Rates 带故障和可控到达率的泊松输入和指数服务时间有限容量相互依赖排队模型
Pub Date : 2024-03-20 DOI: 10.17485/ijst/v17i12.2852
S. N. Therasal, M. Thiagarajan
Objectives: This study aims at (i) introducing the finite capacity of the interdependent queueing model with breakdown and controllable arrival rates, (ii) calculating the average number of clients in the system, and identifying the expected waiting period of the clients in the system, (iii) dealing with the model descriptions, steady-state equations, and characteristics, which are expressed in terms of , and (iv) analyzing the probabilities of the queueing system and its characteristics with numerical verification of the obtained results. Methods: While providing the input, the arrival rates through faster and slower arrival rates are controlled using the Poisson process. Also, the service provides an exponential distribution. The server provides the service on an FCFS basis. In this article, two types of models are used: and which are the system’s conditions, where represents the number of units present in the queue in which their probability is and . All probabilities are distributed based on the speed of advent using this concept. Then, the steady-state probabilities are computed using a recursive approach. Findings: This paper discovers the number of clients using the system on average and the expected number of clients in the system using the probability of the steady-state calculation. Little’s formula is used to derive the expected waiting period of the clients in the system. Novelty: There are articles connected to the finite capacity of failed service in functioning and malfunctioning, but this takes the initiative to provide a link in connection with the rates of the controllable arrivals and interdependency in the arrival and service processes. Mathematics Subject allocation: 60K25, 68M20, 90B22. Keywords: M/M/1/K Queue Model, Finite Capacity, Breakdown, Controllable Arrival rates, FCFS Queue Discipline
研究目的本研究旨在:(i) 引入具有故障和可控到达率的相互依存排队模型的有限容量;(ii) 计算系统中的平均客户数,并确定系统中客户的预期等待时间;(iii) 处理模型描述、稳态方程和特征,这些都用 、 表示;(iv) 分析排队系统的概率及其特征,并对所获结果进行数值验证。方法:在提供输入的同时,利用泊松过程控制较快和较慢的到达率。同时,服务提供指数分布。服务器在 FCFS 基础上提供服务。本文中使用了两种模型:和是系统的条件,其中表示队列中存在的单位数量,其概率为和。利用这一概念,所有概率都根据出现速度进行分布。然后,使用递归方法计算稳态概率。研究结果本文利用稳态计算概率发现了平均使用系统的客户数和系统中的预期客户数。利特尔公式用于推导系统中客户的预期等待时间。新颖性:有文章与故障服务在运行和故障中的有限容量有关,但本论文主动提供了与可控到达率以及到达和服务过程中的相互依赖性有关的联系。数学学科分配:60K25, 68M20, 90B22.关键词:M/M/1/K 队列模型、有限容量、故障、可控到达率、FCFS 队列纪律
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Indian Journal Of Science And Technology
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