The blocking time distribution for an OBS router
is obtained, under the assumption of Poisson-arriving bursts
with Pareto, Gaussian and Exponential burst size distributions.
Analytical expressions are provided as a function of number of
wavelengths per port. Such expressions can be used to dimension
Fiber Delay Lines (FDLs) and to perform end-to-end delay
estimation. On the other hand, we show that the blocking time
distribution becomes exponential as the number of wavelengths
increases, regardless of the burst size distribution. Since the burst
size distribution is determined by the burst assembly algorithm at
the network edges, we conclude that the burst assembly algorithm
will have no influence on both burst blocking probability and burst
blocking time in future DWDM networks.
