检索结果-内蒙古大学图书馆

Strong approximation of solutions of stochastic differential equations with time-irregular coefficients via randomized euler algorithm

引用

APPLIED NUMERICAL MATHEMATICS 2014年 78卷 80-94页

作者： Przybylowicz, Pawel Morkisz, Pawel AGH Univ Sci & Technol Fac Appl Math PL-30059 Krakow Poland

We investigate pointwise approximation of the solution of a scalar stochastic differential equation in case when drift coefficient is a Caratheodory mapping and diffusion coefficient is only piecewise Holder continuous with Holder exponent rho is an element of (0, 1 vertical bar. Since under imposed assumptions drift is only measurable with respect to the time variable, the classical euler algorithm does not converge in general to the solution of such equation. We give a construction of the randomized euler scheme and prove that it has the error O(n(-min{rho.1/2})), where n is the number of discretization points. We also investigate the optimality of the defined algorithm. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.

关键词： Stochastic Caratheodory differential equations euler algorithm euler-integral algorithm Monte Carlo methods Optimal algorithm

来源：评论

学校读者我要写书评

暂无评论

Optimal production strategies of competitive firms considering product innovation

引用

RAIRO-OPERATIONS RESEARCH 2022年第3期56卷 1335-1352页

作者： Han, Xiaoya Zhou, Yongyi Liu, Xin Univ Shanghai Sci & Technol Business Sch Shanghai 200093 Peoples R China Southeast Univ Sch Econ & Management Nanjing 210096 Peoples R China Elon Univ Love Sch Business Elon NC 27244 USA

Consumer preference for product innovation/functionality has become increasingly diverse, therefore firms produce products with distinct versions/generations to satisfy consumers. This paper investigates the decision-making problem for multiple competitive firms considering consumers' diversified preferences for product functionality. This paper develops an optimization model, in which the profit maximizing firms need to determine the production quantities of their products with different versions. Due to our model's computational complexity, it motivates us to adopt variational inequalities theory, which is applied to convert an original model into a new variational inequality problem. On this basis, the existence and uniqueness of an equilibrium solution are proved, and a high-efficient euler algorithm is proposed. A case study focused on the 5G smartphone market is conducted. Numerical results show that firms may obtain more profits by producing products with newer versions if the consumer preference for product functionality is high. However, if the preference level of consumer is under a certain level, it is not necessarily beneficial for firms who launch new versions of their products to the demand market. In addition, when the competition in market becomes intensive (due to new entrants), giving up the production of previous-version products may be more conducive to existing firms.

关键词： Production strategies product innovation consumer preference competition euler algorithm

来源：评论

学校读者我要写书评

暂无评论

The study of feature extraction of handwritten digits based on euler algorithm

The study of feature extraction of handwritten digits based ...

引用

International Conference on Advances in Materials Science and Information Technologies in Industry (AMSITI)

作者： Hao Meng-lin Tian Qi-chuan Bai Xue Taiyuan Univ Sci & Technol Taiyuan Peoples R China

ISBN: (纸本)9783038350125

In order to let the computer to recognize the handwritten digits of our lives in common better and faster, on the basis of the advantages of the extraction method in the structural characteristics, this text designed a new characteristics extraction method based on the euler algorithm. With fewer eigenvectors to retain the key information in the topology of 0-9 each of the numeric characters. And to a few special writing figures, we conducted a special simplify processing, easily feature extract, easily identified. Experiments show that, this feature extraction method is simple and effective, saves the time of feature extraction, has somewhat improved the recognition rate compared with other algorithms, was confirmed the effectiveness and practicality of the new algorithm.

关键词： handwritten digits euler algorithm Floral ring Feature extraction

来源：评论

学校读者我要写书评

暂无评论

The study of feature extraction of handwritten digits based on euler algorithm

The study of feature extraction of handwritten digits based ...

引用

2014 International Conference on Advances in Materials Science and Information Technologies in Industry(AMSITI 2014)

作者： HAO Meng-lin TIAN Qi-chuan BAI Xue Taiyuan University of Science and Technology Beijing University of Civil Engineering & Architecture

In order to let the computer to recognize the handwritten digits of our lives in common better and faster,on the basis of the advantages of the extraction method in the structural characteristics,this text designed a new characteristics extraction method based on the euler *** fewer eigenvectors to retain the key information in the topology of 0-9 each of the numeric *** to a few special writing figures,we conducted a special simplify processing,easily feature extract,easily *** show that,this feature extraction method is simple and effective,saves the time of feature extraction,has somewhat improved the recognition rate compared with other algorithms,was confirmed the effectiveness and practicality of the new algorithm.

关键词： handwritten digits euler algorithm Floral ring Feature extraction

来源：评论

学校读者我要写书评

暂无评论

A perishable food supply chain problem considering demand uncertainty and time deadline constraints: Modeling and application to a high-speed railway catering service

引用

TRANSPORTATION RESEARCH PART E-LOGISTICS AND TRANSPORTATION REVIEW 2018年 111卷 186-209页

作者： Wu, Xin Nie, Lei Xu, Meng Yan, Fei Beijing Jiaotong Univ Sch Traff & Transportat Beijing 100044 Peoples R China Beijing Jiaotong Univ State Key Lab Rail Traff Control & Safety Beijing 100044 Peoples R China Delft Univ Technol Dept Transport & Planning Delft Netherlands

This paper attempts to optimize the flow patterns in a perishable food supply chain network for a high-speed rail catering service. The proposed variational inequality models describe the uncertain demand on trains using the Newsvendor model and impose time deadline constraints on paths considering flow-dependent lead time. The constraints are then reformulated based on the Dirac delta function so that they can be directly dualized. An euler algorithm with an Augmented Lagrangian Dual algorithm is developed to solve the model. A case study using 246 trains in the Beijing-Shanghai high-speed corridor is applied to demonstrate the applicability of the method.

关键词： Rail catering Variational inequalities Newsvendor model Dirac delta function euler algorithm

来源：评论

学校读者我要写书评

暂无评论

Inclinometer Assembly Error Calibration and Horizontal Image Correction in Photoelectric Measurement Systems

引用

SENSORS 2018年第1期18卷 248页

作者： Kong, Xiaofang Chen, Qian Wang, Jiajie Gu, Guohua Wang, Pengcheng Qian, Weixian Ren, Kan Miao, Xiaotao Nanjing Univ Sci & Technol Sch Elect & Opt Engn Jiangsu Key Lab Spectral Imaging & Intelligent Se Nanjing 210094 Jiangsu Peoples R China Jilin Jiangji Special Ind Co Ltd Zun Yi West Rd 17 Longtan Dist 132021 Jilin Peoples R China

Inclinometer assembly error is one of the key factors affecting the measurement accuracy of photoelectric measurement systems. In order to solve the problem of the lack of complete attitude information in the measurement system, this paper proposes a new inclinometer assembly error calibration and horizontal image correction method utilizing plumb lines in the scenario. Based on the principle that the plumb line in the scenario should be a vertical line on the image plane when the camera is placed horizontally in the photoelectric system, the direction cosine matrix between the geodetic coordinate system and the inclinometer coordinate system is calculated firstly by three-dimensional coordinate transformation. Then, the homography matrix required for horizontal image correction is obtained, along with the constraint equation satisfying the inclinometer-camera system requirements. Finally, the assembly error of the inclinometer is calibrated by the optimization function. Experimental results show that the inclinometer assembly error can be calibrated only by using the inclination angle information in conjunction with plumb lines in the scenario. Perturbation simulation and practical experiments using MATLAB indicate the feasibility of the proposed method. The inclined image can be horizontally corrected by the homography matrix obtained during the calculation of the inclinometer assembly error, as well.

关键词： photoelectric measurement inclinometer assembly error calibration plumb line horizontal image correction euler algorithm

来源：评论

学校读者我要写书评

暂无评论

Analyzing Deficient Response Summaries from Designed Experiments

引用

QUALITY ENGINEERING 2014年第4期26卷 440-449页

作者： Hamada, M. S. Warr, R. L. Los Alamos Natl Lab Los Alamos NM 87545 USA Air Force Inst Technol Dept Math & Stat Dayton OH USA

All too often statisticians do not have access to raw experimental data. These scenarios require additional methodology to properly account for the missing information. In this article, we demonstrate a technique for analyzing averages of lifetime data collected at various experimental conditions that provides inference for factor effects. To handle these summaries, we use some numerical techniques to calculate the probability density function of the average of n independent and identically distributed lognormal random variables. We illustrate our method with an example from the literature and provide some R code that implements a Bayesian analysis. We also provide recommendations for more informative summary statistics than lifetime averages for lognormal data.

关键词： Bayesian inference euler algorithm euler's formula fractional factorial design Laplace transform lifetime lognormal reliability robust design sufficient statistics sum of i.i.d. random variables

来源：评论

学校读者我要写书评

暂无评论

STABILITY ANALYSIS OF IMPLICIT FINITE-DIFFERENCE SCHEMES FOR PARABOLIC PROBLEMS ON GRAPHS

引用

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 2012年第1期33卷 1-20页

作者： Ciegis, R. Tumanova, N. Vilnius Gediminas Tech Univ LT-10223 Vilnius Lithuania

We consider a parabolic problem on branched structures. The Hodgkin-Huxley reaction-diffusion equation is a well-known example of such type models. The diffusion equations on edges of a graph are coupled by two types of conjugation conditions at branch points. The first one describes a conservation of the fluxes at vertexes, and the second conjugation condition defines the conservation of the current flowing at the soma in neuron models. The differential problem is approximated by a theta-implicit finite difference scheme which is based on the theta-method for ODEs. The stability and convergence of the discrete solution is proved in L-2, H-1, and L-infinity norms. The main goal is to estimate the influence of the approximation errors introduced at the branch points of the first type. Results of numerical experiments are presented.

关键词： Convergence Error estimates euler algorithm Finite difference method Graphs Parabolic problem Stability theta-method

来源：评论

学校读者我要写书评

暂无评论

The case for multi-unit single-run descending-price auctions

引用

ECONOMICS LETTERS 2011年第3期113卷 310-313页

作者： Martinez-Pardina, Irene Romeu, Andres Univ Murcia Fac Econ & Empresa Dpto Fundamentos Anal Econ E-30100 Murcia Spain

We show that a multiple-unit descending-price auction in which the clock is not reset after each sale may be faster and yield more stable prices than an efficient alternative, thus providing sellers a rationale for us... 详细信息

关键词： Multi-unit descending-price sequential auctions Numeric methods euler algorithm

来源：评论

学校读者我要写书评

暂无评论

Error analysis of the attitude updating algorithm for submarine in the dynamic environment

Error analysis of the attitude updating algorithm for submar...

引用

2011 IEEE International Conference on Mechatronics and Automation, ICMA 2011

作者： Xu, Bo Hao, Yanling College of Automation Harbin Engineering University Harbin 150001 China

ISBN: (纸本)9781424481149

Attitude algorithm is an important part of SINS algorithm. The calculation of attitude algorithm is used for building the mathematic platform and its accuracy of attitude algorithm can enormously affect the accuracy of SINS. Based on the practical applying, this paper analyses euler algorithm, orientation-cosine algorithm, quaternion algorithm, Rodrigues Parameters, optimal rotation vector attitude algorithm and an improved recursion rotation vector attitude algorithm. All algorithms, except the first one, are simulated in the classical coning motion. This paper can be used for reference for the study on attitude algorithm of SINS. © 2011 IEEE.

关键词： Accelerometers Accuracy algorithm design and analysis euler algorithm Heuristic algorithms Inertial navigation Quaternions Rodrigues parameter SINS algorithm Strapdown attitude algorithm Underwater vehicles accuracy attitude control attitude updating algo

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：