We consider the problem of comparing a small number of stochastic syst
ems via computer simulation when the basis for comparison is the expec
ted value of some system performance measure. To serve this problem we
develop two-stage sampling procedures that provide confidence interva
ls for the difference between the expected performance of each system
and the best of the others. These confidence intervals are valid under
mild conditions, and the procedures allow the experimenter to specify
the desired precision in advance. Special cases of our results includ
e standard indifference-zone selection procedures. The paper includes
guidelines for experiment design and an illustrative example.