With the improvement of social and economic level and the development of Internet thinking, enterprises should not rely on traditional business models to achieve great development, but they need to constantly seek reform and innovation in the mode of Internet thinking and effectively use new media to carry out new marketing integration. New media marketing is in the early stage of development, and there are many problems, and the negative effects of these problems can't be ignored. This paper analyzes the existing problems of new media marketing in Internet thinking and discusses the development path of new media marketing.

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Mathematical correlation has been widely used in oil and gas industry to model relative permeability and capillary pressure from water saturation. The application of mathematical correlation is essential especially in the absence of laboratory data. Additionally, the correlation is also applied to generate a refined relative permeability and capillary pressure table as the input to reservoir simulation.There are several correlations being used in the industry such as Corey, Skjaeveland and LET correlation. The focus in this paper is the LET correlation. The correlation offers more flexibility as well as accuracy in matching the responses from laboratory experiments.Having a representative correlation is the basic, but the curve-fitting to the experimental data is also indispensable. In a problem which involves a non-linear correlation, the attempt to find a solution which fits the experimental data becomes more complex. To overcome this problem, it is fundamental to have a search method which can fit the experiment data with the lowest possible residual errors.In this paper, different search methods of curve-fitting are investigated. In the last part of the paper we will compare the performance of each method. The main evaluation parameters are the residual error and the computational time. The methods studied in this paper are the Levenberg -Marquardt method, particle swarm optimization and mesh pattern search.

Abstract. In this paper, we consider the inventory control problem of single-period product items with a fixed life cycle and short marketing period. Our study expands the classical newsboy problem to consider defective items and returning policy. The single-period model is established, and the optimal order quantity is derived for cases when the expect profit model in the supplier and the retailer operate independently as well as collaboratively. Then numerical examples and sensitivity analysis are carried out to illustrate the application of the model. Research results show that the profit of them under collaboration is bigger than independence respectively.