A Markov chain approach is presented which allows the derivation of criteria predicting the dynamic as well as steady state behaviour of chemical engineering processes. The application of this approach relies on the formulation of the Markovian intensities for each of the single transport and conversion processes present in the overall system. The criteria are derived by combining the Markovian intensities according to a modular construction principle. This principle permits to develop criteria for highly complex systems and linear as well nonlinear conditions without time consuming simulation procedures. Two examples are presented which show the applicability of the general Markov chain approach.