The present document constitutes the deliverable D4.4 “Multi-criterial optimization algorithms developed” in the framework of the SPIRE project entitled “Optimization and performance improving in metal industry by digital technologies” (Project Acronym: INEVITABLE; Grant agreement no.: 869815). It is based on the project proposal form established in the Grant Agreement and signed by the European Commission and the project coordinator. The main objective of this deliverable is to describe the approach followed for the development of multicriterial algorithms and the final resulting performance of these algorithms for the non-ferrous industrial case.