On the Deterministic Production Planning Problem of a Large Hydroelectric System |
Common terms and phrases
active bounds active storage bounds band matrix basic chapter Choleski factorization computation conjugate gradient convex convex function core requirements corresponding defined dynamic programming easily seen eigenvalues elements forebay elevation given go to step gradient projection method gradient projection problem gradient projection subproblems hoc solution iterative solution Kuhn-Tucker Lagrange multipliers linear programming linearly linearly independent lower triangular lower triangular matrix matrix network flow node nonbasic storages nonbasic variables nonlinear programming number of active number of iterations objective function OGPP optimal objective value optimum orthogonal matrix otherwise projection problem GPP r-arc rate of convergence reduced gradient reduced Hessians releases space reservoirs in series respect to releases set of active shifted ordering solution of EGPP solution procedure solved spanning tree storages space strictly quadratic T₁ T₂ test problems theorem valley vector zero ΣΣ