Optimization and the Geometry of Numbers: Packing and Covering
Thomas L. Saaty, Joyce M. Alexander · SIAM Review · 1975
There are a number of useful applications gradually arising out of the geometry of numbers. In this paper we give a brief survey of the fields of packing and covering, stating some results, and giving illustrations of methods of proof and approaches to the subject. We then mention and discuss a variety of applications, summarizing results and occasionally providing proofs. Our hope is to focus attention on optimization problems not in the main stream of current optimization theories.