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Discrete network location models. (English) Zbl 1061.90070
Drezner, Zvi (ed.) et al., Facility location. Applications and theory. Berlin: Springer (ISBN 3-540-42172-6/hbk). 81-118 (2002).
The contribution contains a broad overview of network location problems, in which facilities are allowed to be located only at sites of a finite set of candidates. The sequence of studied problems starts with set covering problem and continues over maximal covering location problem, $$p$$-center problem, $$p$$-dispersion problem and $$p$$-mediand problems to the family of fixed charge location problems. This family includes both capacitated and uncapacitated facility location problems as well as hub location and minisum location problems. The authors build an integer linear programming model for each of these problems and provide a concise explanation of their possible application in practice together with extensive references to relevant works. In the last but one section they outline principles of methods, which may solve the location problems. Greedy and improvement heuristics are reported here as well as the metaheuristic tabu search and the Lagrangian relaxation approach. In the concluding section the perspectives of this scientific area are analysed and further development outlined.
For the entire collection see [Zbl 0988.00044].

##### MSC:
 90B80 Discrete location and assignment 90B10 Deterministic network models in operations research 90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming 90C59 Approximation methods and heuristics in mathematical programming 90C10 Integer programming