## A simple heuristic for the p-centre problem.(English)Zbl 0556.90019

We describe a simple heuristic for determining the p-centre of a finite set of weighted points in an arbitrary metric space. The computational effort is O(np) for an n-point set. We show that the ratio of the objective function value of the heuristic solution to that of the optimum is bounded by $$\min (3,1+\alpha)$$, where $$\alpha$$ is the maximum weight divided by the minimum weight of points in the set.

### MSC:

 90B05 Inventory, storage, reservoirs 65K05 Numerical mathematical programming methods

### Keywords:

heuristic; p-centre; finite set of weighted points
Full Text:

### References:

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