A device for diagnosing an evolutive industrial process comprise a plurality of technical steps for the production of a given industrial compound, for which a plurality of state or characterization technical data is available, the device including at least one microprocessor and one memory, an interface module, a counter module for verifying whether a calculation end criterion has been reached, a management module for managing operations and data exchanges between the different modules, a computational grid comprising a plurality of production window calculation modules in order to determine appropriate production windows, a clustering module for distributing parameter combinations between several clusters in order to perform convergence calculations, and a convergence module for verifying whether an expected convergence rate between clusters has been reached.