Simple derivation of mean packet delay for gated service in EPONs

Closed form mathematical expressions of network parameters such as the mean packet delay are useful for evaluating the communication network performance in the design process. This paper provides a simple derivation of a closed form expression of the mean packet delay for the gated service dynamic bandwidth allocation algorithm (DBAA) in an Ethernet Passive Optical Network (EPON). Using the queuing analysis framework of a multi-user cyclic polling system with reservation, we derive the mean packet delay by modifying the expression for the reservation time component of the total packet delay. The derivation can also be extended for a different polling algorithm in which the gating time is at the beginning of each data interval. We verify our analysis with results from simulation experiments.