## On the Deterministic Production Planning Problem of a Large Hydroelectric System |

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### Contents

FIGURE PAGE | 2 |

AN EQUIVALENT METHOD IN THE STORAGES SPACE | 43 |

ON THE GRADIENT PROJECTION IN THE RELEASES SPACE | 59 |

2 other sections not shown

### Common terms and phrases

active bounds active constraints active storage bounds band matrix chapter Choleski factorization computation conjugate gradient conjugate gradient method considered convex convex function core requirements corresponding defined denote dynamic programming easily seen efficiency eigenvalues elements forebay elevation go to step gradient projection method gradient projection problem hoc solution iterative solution Jl J2 Kuhn-Tucker Lagrange multipliers linear programming linearly linearly independent lower triangular lower triangular matrix matrix minimize network flow node nonbasic storages nonbasic variables nonlinear programming number of active number of iterations OGPP optimal objective value optimum orthogonal matrix otherwise plant projection problem GPP PSLE r-arc rate of convergence reduced gradient reduced Hessians releases space reservoirs in series respect to releases row and column s-arc set of active shifted ordering solution of EGPP solution procedure solved storages space structure theorem valley vector