Final Schedule Design and Blocking
The final computations in schedule design will produce a summary of the
activity that will occur on the route during the period in question. Well continue
our example problem, which was introduced in the 'preliminary schedule design' section, to
illustrate the steps and the desired result.
Our preliminary schedule design conclusions were that we needed 6 vehicles running with
10-minute headways to service the demand of 400 passengers/hour between A and
B. Lets assume that these calculations were meant for the morning
peak-period of 7:00 a.m. through 9:00 a.m.
First, we list the departure times from A for each vehicle during the
peak-period.
Leave A |
7:00 |
7:10 |
7:20 |
7:30 |
7:40 |
7:50 |
8:00 |
8:10 |
8:20 |
8:30 |
8:40 |
8:50 |
Next, since we know that it takes 25 minutes for each vehicle to proceed
from A to B, we can record the arrival times. Including 5-minutes
of layover time at each terminal A and B, we can include the
departure times as well. Notice that the work so far has been vehicle-independent. We are
only recording the times at which these events should occur, not which vehicle should be
at each station at these times.
Leave A |
Arrive B |
Leave B |
Arrive A |
7:00 |
7:25 |
7:30 |
7:55 |
7:10 |
7:35 |
7:40 |
8:05 |
7:20 |
7:45 |
7:50 |
8:15 |
7:30 |
7:55 |
8:00 |
8:25 |
7:40 |
8:05 |
8:10 |
8:35 |
7:50 |
8:15 |
8:20 |
8:45 |
8:00 |
8:25 |
8:30 |
8:55 |
8:10 |
8:35 |
8:40 |
9:05 |
8:20 |
8:45 |
8:50 |
9:15 |
8:30 |
8:55 |
9:00 |
9:25 |
8:40 |
9:05 |
9:10 |
9:35 |
8:50 |
9:15 |
9:20 |
9:45 |
Now that we have a schedule of times, we can try to link together these
times into routes that specific vehicles can follow. For example, if a vehicle were to
leave A at 7:00, it would arrive at A again at 7:55. This vehicle
could then start again with the 8:00 shift. Extending this process leads to the table
below.
Vehicle Block |
Leave A |
Arrive B |
Leave B |
Arrive A |
1 |
7:00 |
7:25 |
7:30 |
7:55 |
2 |
7:10 |
7:35 |
7:40 |
8:05 |
3 |
7:20 |
7:45 |
7:50 |
8:15 |
4 |
7:30 |
7:55 |
8:00 |
8:25 |
5 |
7:40 |
8:05 |
8:10 |
8:35 |
6 |
7:50 |
8:15 |
8:20 |
8:45 |
1 |
8:00 |
8:25 |
8:30 |
8:55 |
2 |
8:10 |
8:35 |
8:40 |
9:05 |
3 |
8:20 |
8:45 |
8:50 |
9:15 |
4 |
8:30 |
8:55 |
9:00 |
9:25 |
5 |
8:40 |
9:05 |
9:10 |
9:35 |
6 |
8:50 |
9:15 |
9:20 |
9:45 |
At this point, we can prepare the final vehicle block
summary. This summary simply indicates the times that each vehicle will be in service and
the vehicle block that the vehicle will be assigned to.
Vehicle |
Vehicle Block |
Time Block |
Time In Service |
A |
1 |
7:00-8:55 |
1:55 |
B |
2 |
7:10-9:05 |
1:55 |
C |
3 |
7:20-9:15 |
1:55 |
D |
4 |
7:30-9:25 |
1:55 |
E |
5 |
7:40-9:35 |
1:55 |
F |
6 |
7:50-9:45 |
1:55 |
Total |
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|
11:30 |
The tables that have been developed in this section are
the ultimate result of schedule design.
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