Error analysis of multiservice single-link system studies using linear approximation model

The paper presents an error analysis of the linear approximation model in a multiservice single-link system with nonlinear equivalent capacity. Two types of error measures have been proposed, namely, the mean error and probabilistic error bounds. Derivation of these error measures reveals that the linear approximation model has two main error sources, i.e., the nonlinearity in equivalent capacity and the fluctuation of system dynamics at the mean operating point. In addition, given the product-form solution of the system with the complete sharing policy, a numerical procedure is derived to facilitate the calculation of the proposed error measures. This procedure requires both time and space complexity of O(Ck), where C is the link capacity and k is the number of call types. Hence, these error measures can be efficiently computed in parallel to all the main system performance parameters (call blocking probabilities and mean revenue rates).