This paper investigates the problem of routing flows with quality-of-servic
e (QoS) requirements through one or more networks, when the information ava
ilable for making such routing decisions is inaccurate. Inaccuracy in the i
nformation used in computing QoS routes, e.g., network state such as link a
nd node metrics, arises naturally in a number of different environments tha
t are reviewed in the paper, Our goal is to determine the impact of such in
accuracy on the ability of the path-selection process to successfully ident
ify paths with adequate available resources. In particular, we focus on dev
ising algorithms capable of selecting path(s) that are most likely to succe
ssfully accommodate the desired QoS, in the presence of uncertain network s
tate information. For the purpose of our analysis, we assume that this unce
rtainty is expressed through probabilistic models, and we briefly discuss s
ample cases that can give rise to such models. We establish that the impact
of uncertainty is minimal for flows with only bandwidth requirements, but
that it makes path selection intractable when end-to-end delay requirements
are considered. For this latter case, we provide efficient solutions for s
pecial cases of interest and develop useful heuristics.