Time shift on the London Underground

Work in progress - constructive criticism welcome

Synopsis

Arrival times for trains on the arrival boards at station platforms on the Underground are not directly representative of standard time increments but describe a modified time ('LUmin') which has a statistical relationship to standard time.

Theory

It should be a simple matter to predict the arrival time of the next train at a station on the Underground. The factors affecting an ideal system seem simple:

v₀ The velocity of the train at the moment of calculation
n The number of stations at which it has to call
s_n The distance between the train's position and each station
t_n-1The time it waits at each station preceding
v_n The maximum speed the train can safely run over each section of track (idealised as an average over the section)
a The acceleration of the train to v_n

Sadly abandoned due to the risk of being arrested for suspicious behaviour post-7/7