  In a post-prognostics decision context, this paper addresses the problem of
maximizing the useful life of a platform composed of several parallel machines
under service constraint. Application on multi-stack fuel cell systems is
considered. In order to propose a solution to the insufficient durability of
fuel cells, the purpose is to define a commitment strategy by determining at
each time the contribution of each fuel cell stack to the global output so as
to satisfy the demand as long as possible. A relaxed version of the problem is
introduced, which makes it potentially solvable for very large instances.
Results based on computational experiments illustrate the efficiency of the new
approach, based on the Mirror Prox algorithm, when compared with a simple
method of successive projections onto the constraint sets associated with the
problem.
