Search

According to the rapid application of the kill zone (KZ) in the ground to air missile (GAM) firing command, a numerical KZ modeling technique is proposed. The boundary data points of the vertical KZ which is at the zero course short cut are fitted to piecewise curves with the least square method. The fitting model of the vertical KZ is achieved. Then, the fitted KZ is processed by the piecewise linear interpolation technique. The piecewise curves are approximated with polygonal function, the numerical model of the vertical KZ which is expressed by a closed polygon is obtained. According to the numerical KZ model at the zero course short cut, an algorithm which rapidly generates the numerical KZ models at the different course short cut is designed. At last, the calculation problems of target firing parameters relating to the KZ are discussed. The models of the far and near boundary of launch zone and other parameters are established. By analyzing the simulation example, the models and algorithms are reasonable and effective. There is a great practical value in the development of the command and control system of GAM. [ABSTRACT FROM AUTHOR]

As to the optimization of the power exponent and background value in the GM(1,1) power model, this paper summarizes the modeling steps and disadvantages of the traditional method. Two non-linear optimization models are constructed with the objective of minimum average relative error, the constraints of relationships between parameters in order to optimize the power exponent and the background value. The results show that the optimized models make the absolute value of the average relative error smallest in theory. The new method has solved the problem of the inconsistency in grey model testing. Finally, we illustrated the superiority and effectiveness of the new methods with the example of simulating and forecasting the promotion rates from senior secondary schools to higher education in China. [ABSTRACT FROM AUTHOR]