Originally posted by: yanzhiping
I have a planning problem for path construction, there is a binary variable associated with it indicating whether it is built each year x(year).
If it is built, then the east to west or west to east vehicle flow will be determined y_pos(year), y_neg(year). suppose at each moment only one direction is allowed for vehicle moving. so you can only see east to west or west to east transportation.
I am prioritizing investment binaries in earlier time periods.
Should I put all investment binaries higher priority than transportation binaries?
For example, years include 2020, 2021, 2022.
x_priority(2020)=1, x_priority(2021)=2,x_priority(2022)=3
y_pos(2020)=4, y_neg(2020)=4
y_pos(2021)=5, y_neg(2021)=5
y_pos(2022)=6, y_neg(2022)=6
or should I put the previous transportation binary at the same level as the current investment binary? so the transportation binary will be branched after the investment binary is branched?
x_priority(2020)=1,y_pos(2020)=2, y_neg(2020)=2
x_priority(2021)=3,y_pos(2021)=4, y_neg(2021)=4
x_priority(2022)=5, y_pos(2022)=6, y_neg(2022)=6
Which way do you think it is appropriate?
Thanks,
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