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For a location covering problem to find the minimum number of fire stations that will assure a response time of no more than 5 minutes,
For a location covering problem to find the minimum number of fire stations that will assure a response time of no more than 5 minutes, you have the following matrix of inter-district travel times (minutes). If Xi is a binary decision variable denoting whether or not the ith district gets a fire station, what is the correct specification for the constraint that there must be at least one fire station that can reach District1 within 5 minutes?
District1 | District2 | District3 | District4 | |
District1 | 0 | 2 | 10 | 6 |
District2 | 2 | 0 | 6 | 9 |
District3 | 10 | 6 | 0 | 5 |
District4 | 6 | 9 | 5 | 0 |
options:
a | X1 1 |
b | X1 + X2 1 |
c | X1 + X2 + X3 1 |
d | X1 + X2 + X4 1 |
e | X1 + X2 + X3 + X4 1 |
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