The technical logistics is a stochastic process without after-effects, which can be divided into discrete states. The logistic process from mathematical point of view is a Markov or semi-Markov process and it can be approximated with a Markov-chain. In Hungarian Air Force the technical service of training flight has changed to so-called one-zone system. There were tasks, to investigate the technical service process of training flight and to determine necessary capacity of the apron from systems management point of view. The first problem wes to pick out its most applicable mathematical model.