Вестник Московского университета. Серия 15: Вычислительная математика и кибернетика.
The authors consider a single server retrial system with a multidimensional Poisson flow. The paper investigates three modifications of the system: (1) with urgent claims, (2) with unurgent claims, (3) with possible opening of the system. For every modification the authors find recurrence formulas of the stationary distributions of the queue length and other characteristics of the system.