Известия высших учебных заведений. Математика.
Федеральное государственное автономное образовательное учреждение высшего образования "Казанский (Приволжский) федеральный университет".
The queueing system MAP/G/1 with Markovian input of requirements is considered. The service discipline is as follows: each new requirement is either directed to the server or to the head of the queue depending on the length of served part of the requirement being in service. Stationary state probabilities of the system are calculated.