Classical routing and admission control strategies achieve provably go
od performance by relying on an assumption that the virtual circuits a
rrival pattern can be described by some a priori known probabilistic m
odel. Recently a new on-line routing framework, based on the notion of
competitive analysis, was proposed This framework is geared toward de
sign of strategies that have provably good performance even in the cas
e where there are no statistical assumptions on the arrival pattern an
d parameters of the virtual circuits. The on-line strategies motivated
by this framework are quite different from the min-hop and reservatio
n-based strategies. This paper surveys the on-line routing framework,
the proposed routing and admission control strategies, and discusses s
ome of the implementation issues.