  Short-term hydro-generation management poses a non-convex or even
non-continuous optimization problem. For this reason, the problem of
systematically obtaining feasible and economically satisfying solutions has not
yet been completely solved. Two decomposition methods, which, as far as we
know, have not been applied in this field, are here proposed : $\bullet$ the
first is based on a decomposition by prediction method and the coordination is
a primal-dual relaxation algorithm, $\bullet$ handling the dynamic constraints
by duality, the second achieves a price decomposition by an Augmented
Lagrangian technique. Numerical tests show the efficiency of these algorithms.
They will enable the process in use at Electricit{\'e} de France to be
improved.
