Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

Session: Computational Methods and Algorithms

23 articles
Proceedings Article

Application of Entropy Weight Theory in Evaluation of Rainstorm Risk

Zhiguo Ma, Wenqing Li, Jida Peng
In order to study the effect of heavy rain on the growth of tobacco in Fujian Province tobacco planting area, it used the entropy weight theory that it computers the danger index of rainstorm by the torrential rain days and rainfall intensity as the evaluation index, and under the support of GIS technology...
Proceedings Article

Superconvergence of Variational Discretization for Bilinear Elliptic Optimization Problems

Yuelong Tang, Yuchun Hua
In this paper, variational discretization approximation of bilinear elliptic optimal control problems is considered. Firstly, we construct a variational discretization method for the bilinear elliptic optimal control problem with control constraints. Secondly, we derive the convergence of the approximation...
Proceedings Article

Bernoulli-Deng Equation and Its General Integral

Xingju Dang, Xiaopan Li, Wenliang Wu
If real constants , (at least one is not zero) let g(y)d(f(y)/g(y))/dy= + f/g, then the naming the equation dy/dx=P(x)f(y)+Q(x)g(y) for Bernoulli-Deng Equation is suggested. The equation can be integrated and its general integral is given.
Proceedings Article

Several Forms of Li-Fan Integrable Unified Equation

Xingju Dang, Yuhui Luo, Wenliang Wu
The naming the equation dy/dx+{[(dg/dx)w+d /dx]/g(x)-q(x)F[g(x)w(y)+ (x)]}/(dw/dy)=0 for Li-Fan Integrable Unified Equation is suggested. Several forms of the equation are given.
Proceedings Article

A Pre-estimate Approach to Find a Good Initial Point to Integer Linear Programming Problems

Zhifeng Kong, Jiaheng Wei
Integer Linear Programming problems are significant in many areas, and there exist many classic methods to deal with such problems. Based on the intuition that a proper pre-estimation of those problems may help find a good initial point that is relatively closed to the final solution, we constructed...
Proceedings Article

A New Type of Interval-valued Fuzzy Filters of Ordered Semigroups

Hidayat Ullah Khan, Asghar Khan, Faiz Muhammad Khan, Yongjin Li
One of the advantageous generalizations of Zadeh's fuzzy set theory is the concept of interval-valued fuzzy subset. This generalization of fuzzy subset is frequently and successfully applied by engineers and scientists in the fields of Robotics, Control Theory and Computer Engineering. The purpose of...
Proceedings Article

Asymptotic Regularity and Uniform Attractor for Non-autonomous Viscoelastic Equations with Memory

Ye Zeng, Yanan Li, Yongqin Xie, Shuangli Luo
In this paper, long-time behavior of a class of non-autonomous viscoelastic equations with fading memory is investigated. We establish the existence of a compact uniform attractor together with its structure in H10( )žH10( )žL2?(R+;H10( )). The compact uniform attractor is bounded in D(A)žD(A)žL2 (R+;D(A))...
Proceedings Article

Domination Numbers of Trees

Min-Jen Jou, Jenq-Jong Lin
A set S of vertices is a dominating set of G if NG[S]=V(G). The domination number (G) of a graph G is the minimum cardinality among all dominating sets of G. The decision problem of determining the domination number for arbitrary graphs is NP-complete. Here we focus on trees. If x and x' are duplicated...
Proceedings Article

Exponential Stability of the Genetic Regulatory Networks with Delay on Time Scales

Boyu Wang, Yaru Zhao, Jiamin Li, Jinxiang Cai, Honghua Bin, Zhenkun Huang
Genetic regulatory networks with delay on time scales is considered in this paper. Some sufficient conditions are obtained to ensure the existence and exponential stability of a unique equilibrium of Genetic regulatory networks. The app-roaches are based on constructing Lyapunov functionals, the theory...
Proceedings Article

Parameterized Principal - Agent Game of Third Party Logistics and Randomization of Its Mixed Nash Equilibrium Strategies

Yicheng Gong, Yanna Zhang, Li Yu, Juan Zhao, Qingqing Li, Jieyi Chen
This article aims to improve the practice feasibility of game theory for logistics demand enterprises and the third party logistics enterprises in a principal-agent game. Firstly, some parameters are introduced to the game. Especially the complaint rate is used to depict the degree of positive work or...
Proceedings Article

The Overlapping Domain Decomposition Method for Exterior Harmonic Problem with Mixed Boundary Conditions

Quan Zheng, Wenjuan Shang
In this paper, a Schwarz alternating algorithm is proposed by introducing two artificial boundaries for exterior mixed boundary value problems of Laplace equation. The theorem of the geometrical convergence is obtained for the algorithm. Two numerical examples confirm the theoretical results and demonstrate...
Proceedings Article

Research on Time Series of Gas Trend Based on R Language

Peng Wang, Xuewen Li, Xintan Chang
Use the history monitoring data of the gas of Shaanxi Huangling No.2 coal mine, the time series of monitoring data are decomposed and smoothed by using R language. The abnormal and missing values in the raw data are analyzed and three methods of time series smoothing (Simple exponential smoothing method,...
Proceedings Article

Extremal Values and Rankings of the Gutman Index of the Extended Double Stars

Mengmeng Feng, Kelun Wang, Deqiang Wang
In 2016, Ivan Gutman et al. proposed the conception of the Gutman index of graphs. In this paper, based on the Gutman index of graphs, the vertex Gutman index of graphs is defined. On this basis, we obtained the maximum values and rankings of the vertex Gutman index of extended double stars, the extremal...
Proceedings Article

Heterogeneous Complex Function

Jicheng Tao, Yun Chen, Xuejiao Zhao
In this paper, we discuss heterogeneous complex analysis function and heterogeneous harmonic function, and establish the relationship between heterogeneous complex analysis function and heterogeneous harmonic function, and then obtain heterogeneous Liouville theorem.
Proceedings Article

A D-N Alternating Algorithm for Exterior Laplace Problem with Mixed Boundary Value Conditions

Quan Zheng, Huihui Jia
This paper develops a Dirichlet-Neumann (D-N) alternating algorithm to solve the mixed boundary value problem of Laplace equation in an infinite domain, and analyses the convergence of the algorithm. By choosing a circle surrounding the original boundary as an artificial boundary to divide the unbounded...
Proceedings Article

Combination of Grey System and Neural Network Based Sports Achievement Forecasting Algorithm

Xiaoyu Zhang
This paper presents two novel forecasting algorithms for sports achievement based on combination of grey model and neural network: (1) GM-NN1: Firstly, the error sequence is obtained by GM(1,1) model using original data sequence of sports achievement, and then in order to gain a forecasting error sequence,...
Proceedings Article

Comparative Analysis of Color Reproduction of Different Order Polynomial Regression Algorithm

Qi Jia, Yimin Fu, Xianhui Rong, Weidong Xu, Xuliang Lv
In the visible light band, color is one of the most basic and the most important camouflage exposure symptoms. The use of color camouflage is the most basic means of resisting high-tech detection and monitoring means and precision guided weapon capture. The existing camouflage color collection mainly...
Proceedings Article

An Algorithm for the Orientation of Complete Bipartite Graphs

Lingqi Zhao, Mujiangshan Wang, Xuefei Zhang, Yuqing Lin, Shiying Wang
Let G be a graph with vertex set V(G) and edge set E(G). We consider the problem of orienting the edges of a complete bipartite graph Kn,n so only two different in-degrees a and b occur. An obvious necessary condition for orienting the edges of G so that only two in-degrees a and b occur, is that there...
Proceedings Article

Study on Aggregation of Inductive Motor Loads Based on Differential Evolution Algorithm

Baozhen Zhang, Chenxi Fan
In order to simplify enormous inductive-motor loads in online estimation dynamic equivalence for large-scale power systems, it is presented identification strategy based on the algorithm of differential evolution algorithm (DE) to acquired the parameter of equivalent motor loads. It presented to dynamic...
Proceedings Article

Feature Selection on the Basis of Rough Set Theory and Univariate Marginal Distribution Algorithm

Bin Wei, Minqing Zhang, Longfei Liu, Jing Zhao
Feature selection is an important preprocessing step in machine learning. The aim of feature selection is to find an optimal subset from original features that satisfies a criterion. Rough set theory (RST) is one of the most effective ways to solve feature selection problem, but RST is inefficient in...
Proceedings Article

Internet Credit Risk Scoring Based on Simulated Annealing and Genetic Algorithm

Ji Hu, Jiawen Cai
Credit risk which can be reduced by credit scoring is the focus of financial risk control. In the construction of Internet credit scoring model, we encounter the problem that variables have high dimension. To solve this problem, feature selection is necessary. Simulated annealing and genetic algorithm...
Proceedings Article

Identification of Disease-Associated Combination of SNPs Using a Hybrid Algorithm with Multiple Encoding Approaches

Jing Zhao, Bin Wei
Background: Individual SNP often only exhibit a small effect, but combinations of SNPs are assumed to be strongly influence the risk of disease. Obviously, selecting an optimal subset of SNPs, which most associated with disease, is a NP-hard problem. Results: To obtain a higher performance of predicting...
Proceedings Article

Slip Effects on Heat and Mass Transfer of a Non-newtonian Fluid in the Micro-channel

Jing Zhu, Jiani Sui
The effects of velocity-slip and temperature-jump boundary conditions on Non-Newtonian flow and heat transfer in the micro channel have been investigated in this paper. The governing boundary layer equations have been transformed into a system of nonlinear differential equations through the similarity...