The mathematical model of cyclohexane oxidation reaction system for the production of cyclohexanol, cyctohexanone and cyclohexyl hydroperoxide in gas-liquid loop reactor in series has been described in this article. This modeL could be used in engineering practice for process development and research. Based on the correlations of the variables of the mathematical model and analysis of the interaction between these variables, eleven independent variabLes were found. By evolutionary operation of these variables, it is expected that the existing commercial technology can be modified and the product yeild may be increased. The validity of the present method has been confirmed by the results of the program computation.