Finite adaptability is a resolution framework for two-stage robust optimization problems, introduced in 2010 by Bertsimas and Caramanis. We apply this resolution scheme for a glass industry production problem. The latter deals with coated glass production, in which thin layers of materials are deposited on the galss sheets, using a magnetron, to give it visual and thermal proprieties. The exact production plan is uncertain and the magnetron maintenance decisions have to be taken before the realization of the uncertaitny.
Along with the description and formulation of the above stated industrial problem and of its resolution scheme, the presentation will address two theoretical results in the context of finite adaptability. The first one is the convergence of finite adaptability to complete adaptability under some continuity assumption. The second one is a specific setting in which finite adaptability is solved in polynomial time.