Question: Consider a facility location problem with binary variables y 1 , y 2, y 3 , y 4 and y 5 corresponding to the decisions

Consider a facility location problem with binary variables y1, y2, y3, y4 and y5 corresponding to the decisions to open warehouse at locations 1, 2, 3, 4 and 5 respectively.

  1. At most one of locations 1 and 2 can be opened.
  2. Location 3 can only be opened if location 1 is opened.
  3. Location 4 cannot be opened if locations 2 or 3 are opened.
  4. If location 1 is open, either locations 2 or 5 opened.

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