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Facilities location: Models and methods. (English) Zbl 0685.90036
Publications in Operations Research Series, 7. Amsterdam etc.: North Holland. xiv, 296 p. $ 45.00; Dfl. 95.00 (1988).
The main topic of the book is the question how to locate objects in the plane or on a two-dimensional sphere such that a weighted sum of all distances to given objects is minimized. The distances between the objects which are called facilities are given by an \(\ell_ p\)-norm. Problem formulations, model constructions, and solution techniques for these location problems are discussed. The unknown locations may be anywhere in the plane or chosen from a finite subset of points in the plane. Models in which these locations are restricted to points on a graph or a network are not considered.
The main subjects treated are: Single- and multi-facility location, site generation, location-allocation models, application of the quadratic assignment problem, and mathematical models of travel distances.
The text provides material for a rigorous senior level course or graduate seminar in operations research or management science. It is also of interest to mathematicians looking for applications of optimization methods.
Reviewer: P.Brucker

MSC:
90B05 Inventory, storage, reservoirs
90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming
90C30 Nonlinear programming