Simulation was used by Uys and Lombard (2007) to analyze the run length performance of the CUSUM chart they proposed. They were not aware of an analytical method for determining the performance of their chart. We give the integral equations that are useful in evaluating the run length performance of their chart. Some corrections are given for their selection of the upper control limit. Versions of their chart are introduced that would be useful for the practitioner both when the in-control mean and standard deviation are known and when these parameters are estimated.