@article{Rosberg2006Packet,
author = {Z. Rosberg and A. Zalesky and M. Zukerman},
title = {Packet delay in optical circuit-switched networks},
journal = {IEEE/ACM Transactions on Networking},
volume = {14},
number = {2},
pages = {341-354},
month = {Apr.},
year = {2006},
abstract ={A framework is provided for evaluation of packet
delay distribution in an optical circuit-switched network. The framework is
based on a fluid traffic model, packet queueing at edge routers, and
circuit-switched transmission between edge routers. Packets are assigned to
buffers according to their destination, delay constraint, physical route and
wavelength. At every decision epoch, a subset of buffers is allocated to
end-to-end circuits for transmission, where circuit holding times are based on
limited and exhaustive circuit allocation policies. To ensure computational
tractability, the framework approximates the evolution of each buffer
independently. "Slack variables" are introduced to decouple amongst buffers in a
way that the evolution of each buffer remains consistent with all other buffers
in the network. The delay distribution is derived for a single buffer and an
approximation is given for a network of buffers. The approximation entails
finding a fixed point for the functional relation between the "slack variables"
and a specific circuit allocation policy. An analysis of a specific policy, in
which circuits are probabilistically allocated based on buffer size, is given as
an illustrative example. The framework is shown to be in good agreement with a
discrete event simulation model.}
}