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Theoretical model analysis and case simulation of spherical involute surface

INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS 2022年第1期16卷 1-12页

作者： Chen, Zixia Zhao, Yan Liu, Jingyu Chen, Zelin Zhejiang Guangsha Vocat & Tech Univ Construct 1 Guangfu East St Dongyang 322100 Zhejiang Peoples R China Westcliff Univ 17877 Von Karman Ave 400 Irvine CA 92614 USA

The theoretical model of a spherical involute surface is the premise and foundation of the 3D modelling design technology of spiral bevel gear. The forming process of the surface is also the forming process of its mathematical model. Based on the generating principle of spherical involute on cone and surface analysis, the system model is gradually divided into blocks from curve to surface, and the surface of the bevel gear is obtained by parameter coupling. The modelling process of curve, surface or initial spiral can be independently referenced. It can realise the precise modelling of complex spiral profile surfaces such as variable spiral angles. In this paper, the mathematical model of spiral bevel gear was simulated and analysed on the MATLAB2019b platform. The simulation results verified the correctness of the algorithm of the spiral bevel gear model and the practicability of design optimisation.

关键词： spiral bevel gear spherical involute surface mathematical modelling algorithm analysis MATLAB simulation

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Simplified Chernoff bounds with powers-of-two probabilities

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INFORMATION PROCESSING LETTERS 2023年 182卷

作者： Dillencourt, Michael Goodrich, Michael T. Univ Calif Irvine Comp Sci Irvine CA 92697 USA

In this paper, we derive simplified Chernoff bounds with powers-of-two probabilities, and we show their uses in analyzing probabilistic algorithms.& COPY;2023 The Authors. Published by Elsevier B.V. This is an ope... 详细信息

关键词： algorithms analysis of algorithms algorithm analysis Chernoff bound Lambert W function

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Image segmentation algorithm based on partial differential equation

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JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2021年第4期40卷 5945-5952页

作者： Cui, Di Ningbo Univ Technol Sch Elect & Informat Engn Ningbo Peoples R China

Image segmentation is very important for various fields. With the development of computer technology, computer technology has become more and more effective for image segmentation, and it is studied on the basis of partial differential equations. The curve representation method in plane differential geometry is expounded, with the SegNet-v2 segmentation model analyzed and tested in medical image segmentation. The test results show that the partial differential equation image segmentation algorithm can achieve more accurate segmentation, especially in medical image segmentation, which can achieve good results, and it is worth in practice to further promote.

关键词： Partial differential equation image segmentation algorithm analysis

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Scheduling Model and algorithm of Construction Equipment under Milestone Constraint

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Meteorological and Environmental Research 2024年第3期15卷 32-35,41页

作者： Miao HU College of Science and Technology of China Three Gorges University Yichang 443002China

The scheduling of construction equipment is a means to realize network *** the large-scale and low-cost requirements of engineering construction,the cooperation among members of the engineering supply chain has become very important,and effective coordination of project plans at all levels to optimize the resource management and scheduling of a project is helpful to reduce project duration and *** this paper,under the milestone constraint conditions,the scheduling problems of multiple construction devices in the same sequence of operation were described and hypothesized mathematically,and the scheduling models of multiple equipment were *** Palmer algorithm,CDS algorithm and Gupta algorithm were respectively used to solve the optimal scheduling of construction equipment to achieve the optimization of the construction *** optimization scheduling of a single construction device and multiple construction devices was solved by using sequencing theory under milestone constraint,and these methods can obtain reasonable results,which has important guiding significance for the scheduling of construction equipment.

关键词： Milestone Equipment scheduling Resource constraint algorithm analysis

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MultiDMet: Designing a Hybrid Multidimensional Metrics Framework to Predictive Modeling for Performance Evaluation and Feature Selection

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Intelligent Information Management 2023年第6期15卷 391-425页

作者： Tesfay Gidey Hailu Taye Abdulkadir Edris Department of Information and Communication Engineering Addis Ababa Science and Technology University Addis Ababa Ethiopia Department of Computer Science HILCOE School of Computer Science and Technology Addis Ababa Ethiopia

In a competitive digital age where data volumes are increasing with time, the ability to extract meaningful knowledge from high-dimensional data using machine learning (ML) and data mining (DM) techniques and making decisions based on the extracted knowledge is becoming increasingly important in all business domains. Nevertheless, high-dimensional data remains a major challenge for classification algorithms due to its high computational cost and storage requirements. The 2016 Demographic and Health Survey of Ethiopia (EDHS 2016) used as the data source for this study which is publicly available contains several features that may not be relevant to the prediction task. In this paper, we developed a hybrid multidimensional metrics framework for predictive modeling for both model performance evaluation and feature selection to overcome the feature selection challenges and select the best model among the available models in DM and ML. The proposed hybrid metrics were used to measure the efficiency of the predictive models. Experimental results show that the decision tree algorithm is the most efficient model. The higher score of HMM (m, r) = 0.47 illustrates the overall significant model that encompasses almost all the user’s requirements, unlike the classical metrics that use a criterion to select the most appropriate model. On the other hand, the ANNs were found to be the most computationally intensive for our prediction task. Moreover, the type of data and the class size of the dataset (unbalanced data) have a significant impact on the efficiency of the model, especially on the computational cost, and the interpretability of the parameters of the model would be hampered. And the efficiency of the predictive model could be improved with other feature selection algorithms (especially hybrid metrics) considering the experts of the knowledge domain, as the understanding of the business domain has a significant impact.

关键词： Predictive Modeling Hybrid Metrics Feature Selection Model Selection algorithm analysis Machine Learning

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RETRACTED: Implementation of python data in online translation crawler website design (Retracted Article)

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INTERNATIONAL JOURNAL OF SYSTEM ASSURANCE ENGINEERING AND MANAGEMENT 2023年第1期14卷 484-484页

作者： Li, Huili Shabaz, Mohammad Castillejo-Melgarejo, Ricardo Henan Tech Coll Construct Zhengzhou 450064 Henan Peoples R China Chitkara Univ Inst Engn & Technol Rajpura Punjab India Univ Nacl Santiago Antunez Mayolo Min Engn Huaraz Peru

With the development of artificial intelligence, machine translation related technologies have been continuously improved, making machine translation to a more cutting-edge level. To solve the problem that traditional machine translation, this paper presents the machine online translation system based on deep neural network method. First, the principle of machine translation and attention mechanism based on neural network is analyzed and then the attention mechanisms implemented by PyTorch are studied. In addition, a neural network machine translation model and a machine online translation system are also designed. The proposed model can prepare the target text, and can achieve better BLEU score and word error rate. The BLEU value of the system in this paper is higher than that of the benchmark system, indicating that the system can guarantee the quality of translation and reach the level of use. Experiments show that the machine online translation system based on the deep neural network method can improve the translation quality and efficiency and meet the translation needs of a large number of visits.

关键词： Deep neural network Machine translation Word error rate Online translation algorithm analysis Translation speed Neural network

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Probabilistic Approach for Detection of High-Frequency Periodic Signals Using an Event Camera

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NEW MATHEMATICS AND NATURAL COMPUTATION 2024年第0期

作者： Ben-Ezra, David El-Chai Arad, Ron Padowicz, Ayelet Tugendhaft, Israel Soreq NRC Remote Sensing Dept IL-81800 Yavne Israel

Being inspired by the biological eye, event camera is a novel asynchronous technology that poses a paradigm shift in acquisition of visual information. This paradigm enables event cameras to capture pixel-size fast motions much more naturally compared to classical cameras. In this paper, we present a new asynchronous event-driven algorithm for detection of high-frequency pixel-size periodic signals using an event camera. Development of such new algorithms to efficiently process the asynchronous information of event cameras is essential to utilize its special properties and potential, and being a main challenge in the research community. It turns out that this algorithm, which was developed in order to satisfy the new paradigm, is related to an untreated theoretical problem in probability: Let 0 <= tau(1) <= tau(2) <= center dot center dot center dot <= tau(m) <= 1 originated from an unknown distribution. Let also epsilon,delta is an element of R, and d is an element of N. What can be said about the probability Phi(m,d) of having more than d adjacent tau(i)-s pairs that the distance between them is delta, up to an error epsilon? This problem, which reminds the area of order statistic, shows how the new visualization paradigm is also an opportunity to develop new areas and problems in mathematics.

关键词： algorithm analysis event camera order statistics pattern recognition

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Image segmentation algorithm based on partial differential equation

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JOURNAL OF INTELLIGENT & FUZZY SYSTEMS 2020年第4期38卷 3903-3909页

作者： Guo, Rui Shen, Xuanjing Kang, Hui Jilin Univ Coll Comp Sci & Technol Changchun 130012 Jilin Peoples R China

关键词： Partial differential equation image segmentation algorithm analysis

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Production and Transportation Integration for Commit-to-Delivery Mode with General Shipping Costs

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INFORMS JOURNAL ON COMPUTING 2020年第4期32卷 1012-1029页

作者： Li, Feng Xu, Zhou Chen, Zhi-Long Huazhong Univ Sci & Technol Sch Management Wuhan 430074 Hubei Peoples R China Hong Kong Polytech Univ Fac Business Dept Logist & Maritime Studies Kowloon Hong Kong Peoples R China Univ Maryland Robert H Smith Sch Business College Pk MD 20742 USA

We study an integrated production and transportation problem for a make-to-order manufacturing company that operates under the commit-to-delivery mode and uses third-party logistics service providers to deliver products to customers on or before certain committed delivery dates. Such third-party logistics service providers often provide various shipping modes with quantity discounts and different guaranteed shipping times. As a result, the company's shipping costs need to be represented by general shipping cost functions that are typically nondecreasing, subadditive, and piecewise linear with shipping quantities, and nonincreasing with guaranteed shipping times. To the best of our knowledge, this paper is the first attempt to solve such an integrated production and transportation problem for the commit-to-delivery mode with general shipping costs. We prove that with general shipping costs, the problem is strongly NP-hard when the planning horizon consists of an arbitrary number of days. For the two-day problem, we show that it is ordinarily NP-hard, but is unlikely to have a fully polynomial time approximation scheme (FPTAS) unless NP = P. Interestingly, we find that when the unit inventory holding cost is relatively small, which is often true in practice, there exists an FPTAS for the two-day problem, the development of which hinges on a newly discovered property for minimizing the sum of two general piecewise linear functions. For the multiday problem, we develop a heuristic algorithm based on column generation, which novelly uses a dynamic program for a variant of the problem with a single customer. Results from computational experiments demonstrate that the heuristic algorithm can find near-optimal solutions with optimality gaps less than 1% in a short running time.

关键词： integrated production and transportation commit-to-delivery mode general shipping cost functions computational complexity algorithm analysis integer programming column generation

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STNWeb: A new visualization tool for analyzing optimization algorithms

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SOFTWARE IMPACTS 2023年 17卷

作者： Sartori, Camilo Chacon Blum, Christian Ochoa, Gabriela Artificial Intelligence Res Inst IIIA CSIC Campus UAB Bellaterra Spain Univ Stirling Stirling Scotland

STNWeb is a new web tool for the visualization of the behavior of optimization algorithms such as metaheuristics. It allows for the graphical analysis of multiple runs of multiple algorithms on the same problem instance and, in this way, it facilitates the understanding of algorithm behavior. It may help, for example, in identifying the reasons for a rather low algorithm performance. This, in turn, can help the algorithm designer to change the algorithm in order to improve its performance. STNWeb is designed to be user-friendly. Moreover, it is offered for free to the research community.

关键词： algorithm analysis Visualization Behavior of optimization algorithms Web application

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