Sb. Tridandapani et al., CHANNEL SHARING IN MULTIHOP WDM LIGHTWAVE NETWORKS - DO WE NEED MORE CHANNELS, IEEE/ACM transactions on networking, 5(5), 1997, pp. 719-727
A local lightwave network can be constructed by employing two-way fibe
rs to connect nodes in a passive-star physical topology, and the avail
able optical bandwidth may be accessed by the nodal transmitters and r
eceivers at electronic rates using wavelength-division multiplexing (W
DM). The number of WDM channels, w, in such a network is technology-li
mited and is less than the number of network nodes, N, especially if t
he network should support a scalable number of nodes. We describe a ge
neral and practical channel sharing method, which requires each node t
o be equipped with only one transmitter-receiver pair, and in which ea
ch WDM channel is shared in a time-division multiplexed fashion. We al
so develop a general model for analyzing such a shared-channel, multi-
hop, WDM network. Our analysis yields a counterintuitive result: it is
sometimes better to employ fewer channels than a larger number of cha
nnels. We explore bounds on the ranges of w which admit queueing stabi
lity-using too few or too many channels can lead to instability. We al
so obtain an estimate for the optimal number of channels that minimize
s network-wide queueing delay.