Advanced Materials Research Vols. 756-759

Abstract: River systems are open and self-organizing complex systems. Complex networks theory can well combine rivers' macro properties with their microscopic properties. This paper builds a river network model based on complex networks theory and describes its characteristics. After the analysis of the model used in Haihe River Basin, it shows that Haihe River Basin network has the small-world characteristics. This work provides a new approach to research the properties of river networks, so that to predict and control its behavior.

Abstract: This paper discusses the problems that may be encountered in a multi-channel MAC protocol design. Furthermore, the normalization network throughput of multi-channel MAC is analyzed based on a Markov chain model. The simulation shows that compared to single channel 802.11, multi-channel MAC can improve the normalization network throughput. Moreover, the greater is the number of divided sub-channels, the higher is the normalization network throughput.

Abstract: In order to solve Black-Scholes equation of basket option pricing model by numerical method. This paper used Additive Operator Splitting (AOS) algorithm to split the multi-dimensional Black-Scholes equation into equivalent one-dimensional equation set, and constructed 'Explicit-Implicit' and 'Implicit-Explicit' schemes to solve it. Then compatibility, stability and convergence of those schemes were analyzed. Finally, this paper compared computation time and precision of the schemes through numerical experiments. 'Explicit-Implicit' and 'Implicit-Explicit' schemes of AOS algorithms have both higher accuracy and faster computing speed and them have practical significance in solving basket option pricing model.

Abstract: A new alternating segment explicit-implicit and alternating segment implicit-explicit methods for solving the payment of dividend Black-Scholes equation are presented. These new methods have several advantages such as: good parallelism, unconditional stability, convergence and better accuracy. Numerical experiments show that the methods improve the calculation speed greatly.

Abstract: Path planning problem is a popular issues in urban transportation system. Road impedance is one of the key factors in route planning. According to road length and speed, road level, traffic lamp and intersection waiting time that affect drive efficiency. A new weighted road impedance model is proposed. To get the weights of each factor in road planning, factors which influence drive efficiency are tested with different combination. In the end, the impedance model is applied to real world network topology. The simulation results show the validity and accuracy of the model.

Abstract: Black-Scholes equation is the basic equation of option pricing in financial mathematics, it is important to study its numerical solution in financial market. This paper constructs a new kind of high order accuracy numerical algorithm (Three-layer difference scheme) for Black-Scholes equation with payment of dividend. Secondly, it gives the convergence of scheme. Thirdly, the stability and error estimates are analyzed. Finally, the numerical examples show the feasibility and effectiveness of the scheme. The truncation error of Three-layer scheme is little worse than Crank-Nicolson scheme and computational cost is little better than Crank-Nicoslon scheme. Therefore, the scheme is better suitable for applying to calculate the option pricing in the demanding high level of instantaneity.

Abstract: Object-oriented programming has advantages of reusability, more extensibility, and easier maintainability. While it needs hardware/software environment to support the OO behaviors. In the paper, three OO supporting mechanisms are discussed, the advantages and disadvantages are compared.

Abstract: In the multi-project resource conflicts exist in the application of standard genetic algorithm fitness function exist "premature" problem, Genetic algorithm can not find the convergence of these issue. Based on the above issues ,an improved genetic algorithm (IGA) are appropriate, From the fitness function, mutation and selection methods to improve two aspects are described, the Improved genetic algorithm for simple genetic algorithm has the advantage of generations of each evolution, offspring parent always retains the best individual to the "high-fitness model for the ancestors of the family orientation" search out better samples, and verified through experiments the effectiveness of the algorithm

Abstract: This paper discusses the structure characteristics of Chinas TD-SCDMA industry alliance from complex network perspective. We use the basic two parametersaverage path length and clustering coefficient to do the analysis. Results show that comparing to the different types of complex network, Chinas TD-SCDMA industry alliance has relatively high clustering coefficient and low average path length, implicating the obvious small-world characteristic.

Abstract: DER access to the distribution network will change the characteristics of power flow, the network short-circuit current levels and introduce a large number of harmonic interference in the traditional distribution network, which requires effective communication scheme as a monitor. In this paper, we analyze the requirements of the distribution of business and DER grid monitoring business, combined with the characteristics of a various types of communication, give a communication scheme of distribution network containing DERs. The program can be used as a reference for future distribution communication network construction with certain practical value.