Knowing that the set covering problem is NP-complete, prove that the uncapacitated fixed charge facility location problem is also NPcomplete. Knowing that the uncapacitated fixed charge facility...

Knowing that the set covering problem is NP-complete, prove that the uncapacitated fixed charge facility location problem is also NPcomplete.

Knowing that the uncapacitated fixed charge facility location problem is NP-complete (as proven in Exercise 7.9), prove that the capacitated fixed charge facility location problem is also NP-complete.

Exercise 7.9

Knowing that the set covering problem is NP-complete, prove that the uncapacitated fixed charge facility location problem is also NPcomplete.