TWO-SIDED TRUNCATIONS FOR THE M-t\M-t\S QUEUEING MODEL

The paper deals with the problem of existence and construction of limiting characteristics for time-inhomogeneous birth and death processes which is important for queueing applications. For this purpose we calculate the limiting characteristics for the process via the construction of two-sided uniform in time truncation bounds. We consider the M-t\M-t\S queueing model and obtain uniform approximation bounds of two-sided truncations. A numerical example is considered. Our approach to truncations of the state space can be used in modeling information flows related to high-performance computing.