Optimum Operation of a Multi-reservoir Water Supply SystemProject on Engineering-Economic Planning, Stanford University, 1967 - Mathematical optimization - 258 pages |
Common terms and phrases
allocation amount of water assumed assumptions computational constant constraints continuously differentiable convex convex function current release decreasing demand denoting derivatives determined DG³ dynamic programming equal equations exists fact feasible G¹(R G³(R Gessford and Karlin given hence Hessian matrix implies increment inflows initial storage vector Jacobian matrix jth period jth stage L(S³ lemma Levels in Reservoir loss function marginal expectation marginal utility Massé maximum minimize minimum multi-reservoir systems nondecreasing nonincreasing nonnegative orthant objective function optimum decision optimum operating policy optimum policy optimum release piecewise linear points positive definite possible probability density function problem proof properties Q³(K random variables release vector satisfies 2.24 shortage shown single reservoir solution storage level Theorem total amount total expected loss total release transfer capacities various reservoirs water in storage water resources systems zero transfer costs