Abstract
In the paper for selected classes of queueing and reliability systems is ststed whether or not resp. under which conditions the invariance property of the stationary state probabilities is valid. By this me mean, that the probabilities oniy depend on the mean of certain randam varibles of the system, but not on the form of the distribution function of these random variables. As research methods, in the last years proved necessary and sufficient, pure algebraic criterions for the validity of the invariance property for a very general class of stochastic models, are underlying. At this several speeds speeds of the realization of random variables, temporary interruptions, functional and stationary stochastic dependences are permiited. Invariance results are stated for ERLANG's loss system with general selection rules resp. special structure, certain waiting systems, ENGSET'S loss and waiting systems, some variants of PALM'S repairman problem and more special systems.
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