Blocking probability of a high-speed optical switching network in presence of component failures

A vertically stacked optical banyan (VSOB) network is attractive for serving as the optical switch architecture due to its small depth and absolute signal loss uniformity. A plane fixed routing (PFR) algorithm with optimal time complexity was proposed recently for rapid connection setup in a rearrangeable VSOB architecture. In this paper, we conduct the performance analysis of a high-speed PFR-based VSOB network and introduce an analytical model on blocking probability of the network when component failures (link failure and switching element failure) are considered. Simulation is conducted to verify the model, in which the simulation results show that the proposed analytical model can accurately describe the blocking behavior of a high-speed PFR-based VSOB network. The model significantly contributes to the related areas by providing network developers a quantitative guidance to determine the effects of adopting high-speed PFR algorithm, network component failures and workload variation on the blocking behavior of a VSOB network.