Euclid Calma Radio Link Frequency Assignment Project Report 2.2.1: Implementation and Testing of Polyhedral Techniques and Interior Point Methods

1 Object Many military decisions can be formulated as combinatorial optimization problems. Such examples include weapons-targets assignments, areas to military units assignments, cargo-loading, convoy routing, radio link frequency assignment, and many others. Furthermore, many of these decisions are still made by humans, often without resource to computing power and usually adhering to some crude algorithm which has evolved over many years. The past decade has witnessed both the development of many promising optimisation algorithms as well as the continuing development of computing technology to the extent that it is now feasible to solve problems of the magnitude of some real world instances, within reasonable processing time constraints. Combinatorial optimization problems can be tackled by several approaches. So far, there is general agreement on the fact that it has not yet been proved that any one of these approaches 1