On the composite position tolerance for patterns of holes

The verification of Composite Position Tolerances for patterns of holes was formulated as a non-linear optimization problem and a fast algorithm based on the method of feasible directions was developed for implementation on Coordinate Measuring Machines. The performance of the algorithm was tested and a simulation of composite position tolerance production was carried out. The influence of set-up errors, tool position errors, number of holes in the pattern and material condition specifications on the probability of producing a good pattern were simulated.