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We consider a metric uncapacitated facility location problem where we must assign each customer to a facility and meet the demand of the customer in future time periods through production and inventory decisions at the facility. We show that the problem, in general, is as hard to approximate as the set cover problem. We therefore focus on developing approximation algorithms for special cases of the...
We show that the maximization version of the multi-level facility location problem can be approximated by a factor of 0.5. The only previously known result is a factor of 0.47 for the two-level case obtained recently by Bumb (Oper. Res. Lett. 29(4) (2001) 155).
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