Applications of exponential-approximate method with multi-resolution in spare requirement determination

As to the fact that it is difficult to determine the renewal function (RF) of the Weibull distribution, the closeness between the two distributions with the same average life was studied. On this condition, the RF of exponential distribution was applied to compute that of the Weibull distribution, and the approximate solution would be gained expediently. Furthermore, the accuracy of the three methods was compared. That is, exponential method (The RF of the exponential), linear weight model and geometrical weight model respectively. The result shows that compared with the exponential method, the precision of the two models are highly enhanced when the time is short; and the precision of the geometrical weight model is still high when time is long. This conclusion would provide convenience for the engineering.