Advanced Materials Research Vols. 694-697

Abstract: Dyeing textile’s information management system is the basis of accurate classification of color， machine studying methods have became a popular area of research for application in color classification. Traditional classification methods have high efficiency and are very simple ， but they are dependent on the distribution of sample spaces. If the sample data properties are not independent， forecast precision will been affected badly and internal instability will appear. An application of Gray-Relation for dyeing textile color classification has been designed， which offsets the discount in mathematical statistics method for system analysis. It is applicable regardless of variant in sample size， while quantizing structure is in agreement with qualitative analysis. On the basis of theoretical analysis， Dyeing textile color classification was conducted in the conditions of random sampling、 uniform sampling and stratified sampling. The experimental results proofs that by using Gray-Relation， dyeing textile color classification does not need to be dependent on sample space distribution， and increases the stability of classification.

Abstract: According to different morphology of trees in the nature, tree simulation based on Iterated Function System Algorithm and its mapping process was discussed. In order to overcome the inadequacy of traditional method: dull color and rough picture, an improved Iterated Function System Algorithm for tree shading was proposed. Also the corresponding relationship was analysed between the affine transformation coefficients and the characteristic parameters of different trees, various forms of trees could be generated successfully by controlling the characteristic parameters of the tree. Again fractal animation-tree swaying was discussed. Finally, through the method mentioned above, tree animation and different forms of trees could be realized successfully .in the environment of Visual C++, and the results prove that the method is effective.

Abstract: In this paper, the homotopy analysis method (HAM) is used for solving a class of Holling IIs model. The approximation solutions were obtained by HAM, and contain the auxiliary parameter h which provides us with a convenient way to adjust and control convergence region and rate of solution series. This results showed that this method is valid and feasible to the model.

Abstract: Since the beginning of the twenty-first century, energy conservation has become the theme of the development of the world. China government set the emissions-reduction targets in various industries on the 12th Five-Year Plan. And the airlines were committed to reduce their carbon emissions. From an operational perspective, the airline model assignment problem is a key factor of the total carbon emissions on the entire route network. But the traditional aircraft assignment models approach did not account for this purpose to reduce carbon emissions. By constructing the multi-objective optimization models consider carbon emissions assignment model using a genetic algorithm, numerical example shows that the model is able to meet all aspects demand which include meeting route network capacity demand, minimizing operating costs and reducing total aircraft fleet carbon emissions.

Abstract: The traveling salesman problem (TSP) has been an important problem in the field of distribution and logistics and it is clearly NP-hard combinatorial optimization problem and difficult to solve. This paper gives a review of achievements of different types of Algorithms for the traveling sales man problem and outlines these advantages and limitation for these algorithms, including dynamic program, brand and bound, genetic algorithm and estimation of distribution algorithms. In addition, some of the most powerful efficiency enhancement techniques applied to TSP is discussed and quite a few common conditions of different methods for TSP are summarized. Finally, some future research direction and content are proposed.

Abstract: Rough set theory has found an increasingly wide utilization since it was promoted in 1980s.And study on the application of rough set theory in every field has a great development in recent years. Application of rough set theory in attribute reduction, continuous attributes discretization, and uncertainty measuring, as well as application of information entropy in rough set theory are reviewed in this paper. What we will do next is to probe further into the application of information entropy in rough set theory.

Abstract: In this paper, we consider a class of singular elliptic equation on bounded domain. By the variational method, we prove the existence of solutions.

Abstract: The author discusses the limitation theorem of g - supersolution for BSDEs under non-Lipschitzian coefficient. In order to get the result, the author investigates the existence and uniqueness of solution for a class BSDEs with the same drift coefficient g, and also obtain the comparison theorem.

Abstract: This paper establishes a new kind of two-grid discretization scheme of nonconforming Crouzeix-Raviart element based on the shifted-inverse power method for the Steklov eigenvalue problem. The error estimates are provided from the work of Yang and Bi (SIAM J. Numer. Anal., 49, pp.1602-1624, 2011). Finally, numerical experiments are reported to illustrate the high efficiency of the two-grid discretization scheme proposed in this paper.

Abstract: Improving log vertical resolution is the principal pathway to enhance identification capability for the thin-layers. This paper introduces the method which is based on the wavelet transform and the deconvolution to improve log resolution. First, gain the sub-band information on the different scales after logging curve is decomposed by wavelet. Then the detailed coefficients on the third scale are processed with deconvolution filtering, and the detailed coefficients on the first scale are dealt with threshold denoising. At last, reconstruct the logging curve whose resolution is improved. The processed results of two wells’ logs indicate that the log vertical resolution has been improved obviously using this method, which can satisfy the demands of thin-layer evaluation.