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.

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 |