Analysis of the maximum balanced load in Long-Reach PONs

Maximum balanced load is the load above which mean packet delay and packet loss ratio increase rapidly, queues start to build up and packets start to drop. In this paper, we propose theoretical formulas to analyse the maximum balanced load in Long-Reach Passive Optical Networks (LR-PONs). This is done for two algorithms, the GIANT algorithm and a proposed BwUpdate algorithm. We compare the expressions obtained with simulation studies and find the simulation results match the theory well. We compare the two algorithms as a function of the Assured Bandwidth Restoration Time (ABRT) and find that the BwUpdate algorithm increases the maximum balanced load, for assured bandwidth restoration times longer than 3.75 milliseconds.