Most of the planing models for automated manufacturing systems are based on the assumption that for each part there is only one process method available Really. for a part to be manufactured in an automated manufacturing system, a number of different process methods can be generated, each of which may require specific types of tools and auxiliary devices such as fixtures, grippers and feeders. In this paper, An optimal algorithm for the selection of a set of process methods with the minimum corresponding manufacturing cost and minimal number of tools and auxiliary devices Is proposed. The proposed optimal algorithm is based on branch and bound method which is one of the optimal solution methods.