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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
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