Nonstationary analysis of the loss queue and of queueing networks of loss queues

We present an iterative scheme based on the fixed point approximation method, for the numerical calculation of the time-dependent mean number of customers and blocking probability functions in a nonstationary queueing network with multi-rate loss queues. We first show how the proposed method can be used to analyze a single-class, multiclass, and multi-rate nonstationary loss queue. Subsequently, the proposed method is extended to the analysis of a nonstationary queueing network of multi-rate loss queues. Comparisons with exact and simulation results showed that the results are consistently close to the exact results and they are always within simulation confidence intervals. +Supported by ARDA under contracts MDA904-00-C-2133 and MDA904-02-C-0482