probability of having more than n1 parts affected by the deviation e1 among the n parts mounted on the set is therefore for a given production it is suitable therefore to calculate the dilution rate q1 such that x 1 gt n 1 u2266 p 1 the dilution rate q1 is therefore selected so as to satisfy the relationship r the biggest value possible of the dilution rate q1 which satisfies the relationship r hereinabove is preferably selected according to the proposed method for production are arranged the parts intended to be assembled to form the mechanical devices in production batches comprising several parts where each batch comprises a ratio of non compliant parts relative to the compliant parts less than or equal to a dilution rate q1 the dilution rate q1 being non zero and strictly less than 1 the largest ratio possible will preferably be taken which uses the largest number of non compliant parts having been produced the maximal value of dilution rate q1 is therefore imposed preferably at the time of creation of batches intended to be delivered for production for example if q1 1 50 is the maximal acceptable value it suffices to deliver a part affected by the deviation e1 every 50 parts delivered to ensure that the requirement will be verified to improve the method for production of mechanical devices having several identical parts assembled there is therefore a reliance on tools for.