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This paper deals with the dynamics of a novel milling cutting process. To implement this new milling technology, the dynamics of the process has to be controlled. For realizing this idea, different approaches for the optimal operation of the machine are introduced. A model of the milling process dynamics is developed. This dynamical model consists of the machine dynamics and machine-rock-interaction which contains a strong non-linearity: The possible loss of contact. Using a simulation model, the behavior of the developed dynamical model is analyzed. Two approaches for the optimal operation of the machine are analyzed, by adjusting the milling parameters, the milling performance is reduced and an unstable operation is avoided. This method limits the capability of the process.