Journal of Applied Mathematics最新文献

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Research on Distribution Network Security Analysis Based on $K(N-1+k)$ Criterion and Rank Preference Optimal Ordering 基于$K(N-1+ K)$准则和等级偏好最优排序的配电网安全分析研究
Journal of Applied Mathematics Pub Date : 2014-05-25 DOI: 10.1155/2014/790736
Wang Zeng-ping, Yao Yuhai, Yu Junya, Yu Chentai
{"title":"Research on Distribution Network Security Analysis Based on $K(N-1+k)$ Criterion and Rank Preference Optimal Ordering","authors":"Wang Zeng-ping, Yao Yuhai, Yu Junya, Yu Chentai","doi":"10.1155/2014/790736","DOIUrl":"https://doi.org/10.1155/2014/790736","url":null,"abstract":"The objective of security analysis is to find the weak link of distribution network. The criterion based on the characteristics of distribution network was proposed for distribution network security analysis. According to the criterion, the electrical devices in the contingency set can be classified into two kinds. The first kind meets the requirement of the criterion. The rank preference optimal ordering (RPOO) was proposed to evaluate the damage degree of power system. The second kind does not meet the requirement of the criterion, and it is the weak link of distribution network. A numerical experiment shows that the method is efficient and feasible, and the proposed method can provide assistant decision-making for safety precautions.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2014-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/790736","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64672259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes 用高阶紧致有限差分格式精确模拟污染物输运
Journal of Applied Mathematics Pub Date : 2014-04-29 DOI: 10.1155/2014/396738
Gurhan Gurarslan
{"title":"Accurate Simulation of Contaminant Transport Using High-Order Compact Finite Difference Schemes","authors":"Gurhan Gurarslan","doi":"10.1155/2014/396738","DOIUrl":"https://doi.org/10.1155/2014/396738","url":null,"abstract":"Numerical simulation of advective-dispersive contaminant transport is carried out by using high-order compact finite difference schemes combined with second-order MacCormack and fourth-order Runge-Kutta schemes. Both of the two schemes have accuracy of sixth-order in space. A sixth-order MacCormack scheme is proposed for the first time within this study. For the aim of demonstrating efficiency and high-order accuracy of the current methods, some numerical experiments have been done. The schemes are implemented to solve two test problems with known exact solutions. It has been exhibited that the methods are capable of succeeding high accuracy and efficiency with minimal computational effort, by comparisons of the computed results with exact solutions.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2014-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/396738","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64477913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space Hilbert空间中平衡与变分不等式问题的收敛定理及无穷非扩张映射族
Journal of Applied Mathematics Pub Date : 2014-04-07 DOI: 10.1155/2014/232541
Zhou Yin-ying, Cao Jiantao, Wang Ya-li
{"title":"Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space","authors":"Zhou Yin-ying, Cao Jiantao, Wang Ya-li","doi":"10.1155/2014/232541","DOIUrl":"https://doi.org/10.1155/2014/232541","url":null,"abstract":"We introduce a hybrid iterative scheme for finding a common element of the set of common fixed points for a family of infinitely nonexpansive mappings, the set of solutions of the varitional inequality problem and the equilibrium problem in Hilbert space. Under suitable conditions, some strong convergence theorems are obtained. Our results improve and extend the corresponding results in (Chang et al. (2009), Min and Chang (2012), Plubtieng and Punpaeng (2007), S. Takahashi and W. Takahashi (2007), Tada and Takahashi (2007), Gang and Changsong (2009), Ying (2013), Y. Yao and J. C. Yao (2007), and Yong-Cho and Kang (2012)).","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2014-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/232541","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64394745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A Novel Algorithm of Quantum Random Walk in Server Traffic Control and Task Scheduling 一种新的量子随机漫步算法在服务器流量控制和任务调度中的应用
Journal of Applied Mathematics Pub Date : 2014-04-07 DOI: 10.1155/2014/818479
Dong Yumin, Xia Shufen
{"title":"A Novel Algorithm of Quantum Random Walk in Server Traffic Control and Task Scheduling","authors":"Dong Yumin, Xia Shufen","doi":"10.1155/2014/818479","DOIUrl":"https://doi.org/10.1155/2014/818479","url":null,"abstract":"A quantum random walk optimization model and algorithm in network cluster server traffic control and task scheduling is proposed. In order to solve the problem of server load balancing, we research and discuss the distribution theory of energy field in quantum mechanics and apply it to data clustering. We introduce the method of random walk and illuminate what the quantum random walk is. Here, we mainly research the standard model of one-dimensional quantum random walk. For the data clustering problem of high dimensional space, we can decompose one -dimensional quantum random walk into one-dimensional quantum random walk. In the end of the paper, we compare the quantum random walk optimization method with GA (genetic algorithm), ACO (ant colony optimization), and SAA (simulated annealing algorithm). In the same time, we prove its validity and rationality by the experiment of analog and simulation.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-8"},"PeriodicalIF":0.0,"publicationDate":"2014-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/818479","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64688937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Stability and Sensitivity Analysis of a Plant Disease Model with Continuous Cultural Control Strategy 具有连续培养控制策略的植物病害模型的稳定性和敏感性分析
Journal of Applied Mathematics Pub Date : 2014-03-16 DOI: 10.1155/2014/207959
Zhonghua Zhang, Yaohong Suo
{"title":"Stability and Sensitivity Analysis of a Plant Disease Model with Continuous Cultural Control Strategy","authors":"Zhonghua Zhang, Yaohong Suo","doi":"10.1155/2014/207959","DOIUrl":"https://doi.org/10.1155/2014/207959","url":null,"abstract":"In this paper, a plant disease model with continuous cultural control strategy and time delay is formulated. Then, how the time delay affects the overall disease progression and, mathematically, how the delay affects the dynamics of the model are investigated. By analyzing the transendental characteristic equation, stability conditions related to the time delay are derived for the disease-free equilibrium. Specially, when , the Jacobi matrix of the model at the disease-free equilibrium always has a simple zero eigenvalue for all . The center manifold reduction and the normal form theory are used to discuss the stability and the steady-state bifurcations of the model near the nonhyperbolic disease-free equilibrium. Then, the sensitivity analysis of the threshold parameter and the positive equilibrium is carried out in order to determine the relative importance of different factors responsible for disease transmission. Finally, numerical simulations are employed to support the qualitative results.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-15"},"PeriodicalIF":0.0,"publicationDate":"2014-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/207959","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64388308","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme 基于四阶紧格式的二维Poisson方程的Richardson级联多重网格法
Journal of Applied Mathematics Pub Date : 2014-03-10 DOI: 10.1155/2014/490540
Li Ming, Li Chen-liang
{"title":"Richardson Cascadic Multigrid Method for 2D Poisson Equation Based on a Fourth Order Compact Scheme","authors":"Li Ming, Li Chen-liang","doi":"10.1155/2014/490540","DOIUrl":"https://doi.org/10.1155/2014/490540","url":null,"abstract":"Based on a fourth order compact difference scheme, a Richardson cascadic multigrid (RCMG) method for 2D Poisson equation is proposed, in which the an initial value on the each grid level is given by the Richardson extrapolation technique (Wang and Zhang (2009)) and a cubic interpolation operator. The numerical experiments show that the new method is of higher accuracy and less computation time.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2014-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/490540","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64518911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums 涉及两项指数和和两项特征和的混合平均值
Journal of Applied Mathematics Pub Date : 2014-02-27 DOI: 10.1155/2014/845845
Liu Miaohua, L. Xiaoxue
{"title":"A Hybrid Mean Value Involving the Two-Term Exponential Sums and Two-Term Character Sums","authors":"Liu Miaohua, L. Xiaoxue","doi":"10.1155/2014/845845","DOIUrl":"https://doi.org/10.1155/2014/845845","url":null,"abstract":"The main purpose of this paper is using the properties of Gauss sums and the estimate for character sums to study the hybrid mean value problem involving the two-term exponential sums and two-term character sums and give an interesting asymptotic formula for it.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2014-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/845845","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64706539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Social Network Analysis Based on Network Motifs 基于网络母题的社会网络分析
Journal of Applied Mathematics Pub Date : 2014-02-16 DOI: 10.1155/2014/874708
Xu Hong-lin, Yang Han-bing, Gao Cui-fang, Zhu Ping
{"title":"Social Network Analysis Based on Network Motifs","authors":"Xu Hong-lin, Yang Han-bing, Gao Cui-fang, Zhu Ping","doi":"10.1155/2014/874708","DOIUrl":"https://doi.org/10.1155/2014/874708","url":null,"abstract":"Based on the community structure characteristics, theory, and methods of frequent subgraph mining, network motifs findings are firstly introduced into social network analysis; the tendentiousness evaluation function and the importance evaluation function are proposed for effectiveness assessment. Compared with the traditional way based on nodes centrality degree, the new approach can be used to analyze the properties of social network more fully and judge the roles of the nodes effectively. In application analysis, our approach is shown to be effective.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"08 1","pages":"1-6"},"PeriodicalIF":0.0,"publicationDate":"2014-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/874708","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64721045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Bounds on Subspace Codes Based on Subspaces of Type(m,1)in Singular Linear Space 奇异线性空间中基于(m,1)型子空间的子空间码的界
Journal of Applied Mathematics Pub Date : 2014-01-01 DOI: 10.1155/2014/497958
You Gao, G. Wang
{"title":"Bounds on Subspace Codes Based on Subspaces of Type(m,1)in Singular Linear Space","authors":"You Gao, G. Wang","doi":"10.1155/2014/497958","DOIUrl":"https://doi.org/10.1155/2014/497958","url":null,"abstract":"<jats:p>The Sphere-packing bound, Singleton bound, Wang-Xing-Safavi-Naini bound, Johnson bound, and Gilbert-Varshamov bound on the subspace codes<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\"><mml:mrow><mml:msub><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>l</mml:mi><mml:mo>,</mml:mo><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>d</mml:mi><mml:mo>,</mml:mo><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>based on subspaces of type<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math>in singular linear space<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=\"double-struck\">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>l</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>over finite fields<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>are presented. Then, we prove that codes based on subspaces of type<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\"><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>m</mml:mi><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:math>in singular linear space attain the Wang-Xing-Safavi-Naini bound if and only if they are certain Steiner structures in<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M7\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant=\"double-struck\">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mi>l</mml:mi><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>.</jats:p>","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2014 1","pages":"1-9"},"PeriodicalIF":0.0,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2014/497958","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64520366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Genetic Algorithm Optimization for Determining Fuzzy Measures from Fuzzy Data 从模糊数据中确定模糊测度的遗传算法优化
Journal of Applied Mathematics Pub Date : 2013-12-03 DOI: 10.1155/2013/542153
Chen Li, Gong Zeng-tai, Duan Gang
{"title":"Genetic Algorithm Optimization for Determining Fuzzy Measures from Fuzzy Data","authors":"Chen Li, Gong Zeng-tai, Duan Gang","doi":"10.1155/2013/542153","DOIUrl":"https://doi.org/10.1155/2013/542153","url":null,"abstract":"Fuzzy measures and fuzzy integrals have been successfully used in many real applications. How to determine fuzzy measures is a very difficult problem in these applications. Though there have existed some methodologies for solving this problem, such as genetic algorithms, gradient descent algorithms, neural networks, and particle swarm algorithm, it is hard to say which one is more appropriate and more feasible. Each method has its advantages. Most of the existed works can only deal with the data consisting of classic numbers which may arise limitations in practical applications. It is not reasonable to assume that all data are real data before we elicit them from practical data. Sometimes, fuzzy data may exist, such as in pharmacological, financial and sociological applications. Thus, we make an attempt to determine a more generalized type of general fuzzy measures from fuzzy data by means of genetic algorithms and Choquet integrals. In this paper, we make the first effort to define the <path id=\"x1D70E\" d=\"M548 455q-32 -77 -74 -77q-37 0 -103 10l-3 -2q36 -30 48.5 -62t12.5 -80q0 -103 -75 -179.5t-175 -76.5q-70 0 -113 45t-43 128q0 115 83.5 200.5t209.5 85.5q31 0 77.5 -4t67.5 -4q36 0 62 30zM350 274q0 54 -17 86q-19 35 -57 35q-50 0 -90 -37.5t-59 -91.5t-19 -109\u0000q0 -61 24.5 -96.5t65.5 -35.5q51 0 87.5 46.5t50.5 100.5t14 102z\" /> <path id=\"x1D706\" d=\"M529 97q-70 -109 -136 -109q-41 0 -56 94q-23 144 -37 284q-38 -88 -99 -202.5t-93 -156.5q-26 -8 -76 -19l-9 21q71 78 145.5 193t124.5 232q-5 84 -15 128q-12 55 -29.5 75.5t-42.5 20.5q-21 0 -45 -13l-8 24q16 17 46 30t55 13q43 0 70 -46.5t40 -169.5\u0000q27 -249 51 -392q7 -46 23 -46q24 0 70 60z\" /> rules. Furthermore we define and characterize the Choquet integrals of interval-valued functions and fuzzy-number-valued functions based on rules. In addition, we design a special genetic algorithm to determine a type of general fuzzy measures from fuzzy data.","PeriodicalId":49251,"journal":{"name":"Journal of Applied Mathematics","volume":"2013 1","pages":"1-11"},"PeriodicalIF":0.0,"publicationDate":"2013-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1155/2013/542153","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64147388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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