Improved Model and Its Application to Analysis of Forest Area Traffic Accident

In application of the vehicle collision model based on Theorem of Linear Momentum, a serious ill-condition is discovered when the mass ratio of two vehicles fell in a specific range. Matrix perturbation theory is applied to analyzing the ill-conditioned vehicle collision model. The analysis shows that the ill-condition is caused by the linear correlation between some equations in the model. The linear correlation is solved by a mathematical transform, and improved models composed of the new equations are obtained. The calculated result of a typical vehicle collision on forested area highways shows that the new model reduces the relative error from 28.60% to 7.51% compared with that by the original model.