Some Useful Results for Surface Separation and Optimum Splitting for Simple Cases Based on the Direct Statistical Approach

The general direct statistical approach theory is analyzed for single-path cases. Through this analysis, some conclusions are reached about the optimum benefit that may be obtained with geometric splitting as a function of the number of splitting surfaces used. Also, some useful expressions are derived for predicting the optimum splitting parameters in simple cases. The predictions obtained are compared with the results of the general optimization procedure for a number of test cases, and the results of these comparative calculations are reported.