The temporal utility of a timetable-based procedure for departure-time related demand is modeled as followed:
- ∆TaiEarly = amount of time that connection i departs earlier than desired for departure interval a (→ time series); = zero if i departs within a or after a.
- ∆TaiLate = amount of time that connection i departs later than desired for the departure interval a (→ time series); = zero if i departs within a or before a.
- ∆TaiEarly • FacDTearly + DTailate • FacDTlate = temporal distance between connection i and interval a. The first factor controls the sensitivity of passengers towards earlier departures, the second the sensitivity towards later departures.
An analogous transfer, plus use of the arrival time interval, is performed when you deploy a time series based on the arrival time. The temporal distance is included as a further summand in the definition of impedance, in order to impede lower utilities.
|
Note: For connections with no temporal position, ∆T is always zero. |
The Table 182 shows an example for the calculation of ∆Tearly and ∆Tlate, when the desired departure time interval is [06:00 a.m. ; 07:00 a.m.].
|
Departure |
∆T |
∆Tearly |
∆Tlate |
|
5:30 AM |
30 |
30 |
0 |
|
6.00 AM |
0 |
0 |
0 |
|
6:40 AM |
0 |
0 |
0 |
|
7:00 AM |
0 |
0 |
0 |
|
7:10 AM |
10 |
0 |
10 |
