This paper presents results on modelling of AES and RSA encryption algorithms in terms of CPU execution time, considering different modelling techniques such as linear, quadratic, cubic, and exponential mathematical models, each with the application of piecewise approximations. C#.net framework is used to implement this study. The authors consider the symmetric encryption algorithm named AES and the asymmetric encryption algorithm named RSA to carry out this study. This study recommends quadratic piecewise approximation modelling as the most optimized model for modelling the CPU execution time of AES and RSA towards encryption of data files. The model proposed in this study can be extended to other symmetric and asymmetric encryption algorithms, besides taking them over a mobile cloud environment.

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