show a steady contribution between 08h and 18h, which indicates that indeed the symmetric part of 
does reflect well the off-peak trip pattern.
Figure 2: Coefficients 
and 
for the original 3-state model.
In order to further improve the model, the gradient method for OD-matrix adjustment (see Spiess [6]) was applied to each of the starting matrices [Page]
and 
. The observed volumes for hours 7h and 17h respectively were taken as the target volumes used in the adjustment procedure. As a result, both peak-hour states, AM and PM, would represent individually the corresponding hours, 07h and 17h, with an of about 97%. The 3-state model was then run again, using the two adjusted matrices 
and 
