The increasing attention devoted to the control of process variance has stimulated the development of a set of control charts, which includes the CUSUMln(S2) control chart that is considered one of the most effective tools to control the variance and consequently one of the most used whenever a SPC is implemented. However, a common problem which arises with the application of CUSUM-ln(S2) control charts is the limited set of tables of results for consultation. In general, only the most common situations are available. Therefore, these resources become ineffective when one need to cover other less common cases, but equally important and considered target of interest. On the other hand, there are not available the abacuses correspondent to the numerical tables. This paper intends to present a new approach (methodology), based on a computational tool (FCSCE), which provides us, not only with the abacuses, but also with the respective tables. This software tool, implemented inMATLAB environment, is a key instrument to deal with generic SPC case studies involving the CUSUM-ln(S2) control chart, responding effectively to the previously listed impairments.