In this paper a problem of multi-item production on a single facility is being dealt with. The facility is an electrochemical machining (ECM) system and the products are impact sockets of various sizes for power wrenches. Sequencing production lots in a certain order minimizes set-up time for each new production lot. However, as demand differs from item to item, it is not essential to produce each item in every production cycle. A grouping procedure of the various items is adopted. A modified version of the Page and Paul algorithm is then applied to insure production cycle times which are multiples of the shortest production cycle time. Application of a sequencing policy based on this modified algorithm led to considerable savings.