Operations Research and Logistics are the areas, where traditionally
only stochastic models were applied. However, recently this situation
started to change, and dynamical systems are becoming to be recognized as
the relevant models in manufacturing, managing supply chains, conditioned
based maintenance, etc. We discuss the simplest basic model for these processes
and prove some results on its global dynamics. The general approach
to a management of such processes (Stabilization of a Target Regime or STR method)
is outlined and illustrated.