Global optimization in integer or mixed variables and applications to industrial problems

The purpose of this paper is to describe some applications of a universal method to industrial problems.

This method, called Alienor, is based on α‐dense curves, allowing to fill a space Rn and to express n variables by means of a single variable.

Using this method, any industrial problem leading to a cost function (linear or not) becomes easily and quickly resolved, even when integer or mixed variables are to be considered.

The paper is of value in showing how α‐dense curves allow the solving of most problems of operational research by using classical softwares.