For a multidimensional, stochastic, dynamic storage system with mixed autocorrelated processes of demand we give sufficient conditions, that an optimal control of the system can be carried out by a onedimensional (z, Z) strategy. This strategy we can understand as well a generalization of a onedimensional (z , Z) strategy - a genernlization of a (s, S) strategy as a generalizatinn of a multidimensional (θ, S) strategy. The given sufficient conditions can be reduced in natural manner to well-known conditions in the special cases independent “demand” or “onedimensional system”. The present paper contains therefore the results of [7] and the case with finite horizont in [6].