An analysis for the turning of stepped shaft is performed to select op
timally the multi-pass cutting variables by applying the geometric pro
gramming concept. A system is developed for the turning of stepped sha
ft. Several possible manufacturing-system constraints are considered t
o make the problem realistic. From a practical stand-point, every rest
riction adds at least one degree of difficulty to the analysis. An exa
mple of a stepped shaft with eleven surfaces, of which one is tapered,
is considered. The program is run on a VAX-8350.