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This work presents the results of a modeling study of the ignition process of methane under Mild Combustion conditions. A mathematical model was formulated to predict the dependence of the equivalence ratio Φ and the initial temperature of oxidizer t on the temperature increment ΔT=t max -t. The increment of temperature was assumed as parameter characterizing the process of ignition. The model incorporates the basic principles of the energy and mass balance. The results of calculation were compared with the experiments which have been done on constant volume bomb (CVB) reactor. It is shown that in order to achieve the effective reaction of ignition it is not necessary to maximize the initial oxidizer temperature. There are optimal values of temperature oxidizer (t≈830 o C) in which parameters mentioned above reaches its extreme values. [ABSTRACT FROM AUTHOR]