This paper considers ramp tests for Weibull life distribution when the
re are limitations on test stress and test time. The inverse power law
and a cumulative exposure model are assumed. Maximum likelihood estim
ators of model parameters and their asymptotic covariance matrix are s
hown. The optimum ramp test plans are given which minimize the asympto
tic variance of the ML estimator of a specified quantile of log(life)
at design constant stress. The effects of the pre-estimates of design
parameters are studied.