This paper presents a methodology for evaluating the reliability of transpo
rtation networks. While tools already exist to determine the expected benef
its of travel demand management or new infrastructure, tools have yet to be
developed which take into account disbenefits arising from randomly occurr
ing disturbances. The paper focuses on the sensitivity of both path travel
rimes and expected minimum origin-destination travel times to normal within
-day demand and supply variation, where demand variation takes the form of
perturbations to origin-destination flows and supply variation takes the fo
rm of perturbations to link saturation flows. Two extreme cases are disting
uished; one where route choices fully respond to the perturbations, corresp
onding to the more major, longer-term incident and the other where route ch
oice does not respond, corresponding to the more minor, shorter-term incide
nt. A legit assignment model, referred to as the Path Flow Estimator (PFE),
is linearised with respect to the parameters affected by within-day variat
ion, using sensitivity expressions. As analytically derived sensitivities a
re sometimes difficult to calculate for large networks, their approximation
by finite differencing is considered. Results obtained for a large network
(5000 links, 8000 OD pairs) in York are discussed, as well as results obta
ined for a much smaller network (100 links, 60 OD pairs) in Leicester.