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Variable neighborhood search for the $p$-median. (English) Zbl 0928.90043
Summary: Consider a set $L$ of potential locations for $p$ facilities and a set $U$ of locations of given users. The $p$-median problem is to locate simultaneously the $p$ facilities at locations of $L$ in order to minimize the total transportation cost for satisfying the demand of the users, each supplied from its closest facility. This model is a basic one in location theory and can also be interpreted in terms of cluster analysis where locations of users are then replaced by points in a given space. We propose several new Variable Neighborhood Search heuristics for the $p$-median problem and compare them with Greedy plus Interchange, and two Tabu Search heuristics.

##### MSC:
 90B80 Discrete location and assignment
##### Keywords:
heuristics; variable neigborhood search; location; $p$-median
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