Overall timetable reliability is a measure of the likely performance o
f the timetable as a whole, in terms of schedule adherence. The reliab
ility of arrivals is a critical performance measure for all rail marke
ts. This paper presents analytically based models designed to quantify
the amount of delay risk associated with each track segment, train an
d the schedule as a whole. Three main types of delays are modelled, na
mely: terminal/station delays; track related delays; and rolling stock
related delays. The models can be used to prioritise investment proje
cts designed to improve timetable reliability. For example, a comparis
on can be made between track, terminal and rolling stock projects, in
terms of their likely impact on timetable reliability. The effect of t
imetable changes on likely reliability can also be modelled. Using the
risk models developed here, it is possible to assess the likely effec
t of removing/ adding sidings for passing and crossing purposes, under
single line train operations. The paper illustrates the use of the mo
dels using a series of tests with a timetable consisting of nine train
s and six stations. The effect of changing assumptions regarding delay
s due to terminal congestion; track related problems; and rolling stoc
k, are modelled and the results are summarised. Also modelled is the i
mpact of changes to the timetable.