Abstract

The forward Kolmogorov system for a general nonstationary Markovian queueing model with possible batch arrivals, possible catastrophes and state-dependent control at idle time is considered. We obtain upper bounds on the rate of convergence for corresponding models (nonstationary \(M^X/M_n/1\) queue without catastrophes with the special resurrection intensities and general nonstationary \(M^X/M_n/1\) queue with mass arrivals and catastrophes) and apply these estimates for some specific situations. Examples with given parameters are considered and corresponding plots are constructed.

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