Subject
Index
271
general format of primal and dual
problems, 86-87
significance of primal and dual variables,
88
Monte Carlo Dynamic Programming
(MCDP), 140
Municipal and industrial water use, see
also Constraints, municipal and
industrial
consumptive use of water, calculation
of, 61-62
water needs, data sources for, 61, 62
water needs as objective of MD river
basin system, 114
Ν
Net revenue (benefit) function, see Objective function
Nonlinear programming, 21-26
examples in water resources management problems, 22
general format, 21-22
operating policy derivation for three
reservoirs, 23-26
unsuitability of generalized Lagrange
multiplier technique for solving
optimal expansion problem, 67
water resources model solution including
water quality, 154-155
Ο
Objective function, see also Capital budgeting problem, Operational policy
problem
definition of, 17-18, 30
describing dam revenue, 44-45
fonnulation in optimal expansion problem, 41-42
illustrations of use, 17-29
linear and nonlinear terms, 17-18
MD river basin system, 116-118
relation to scale of development, 31-32
water resources model including water
quality, 150, 154, 155
Ohio River Basin development program, 7
Operational policy (O.P.) problem, see
also Out-of-kilter algorithm (OKA)
compared in initial and final configurations of MD river basin system,
123-126
forward dynamic programming representation, 154
general format, 69, 83-85
interpretation of dual variables in MD
river basin system, 123, 126
network representation, 84
objective function in MD river basin
system, 116-117
role of source and sink nodes in MD
river basin system, 112, 114
solution method, 102-103
water resources model including water
quality, 151-153, 155
Optimal expansion of an existing water
resources system, see also Computer program DAMBLD
assumptions made in preparing the
problem statement, 38-40
flowchart of optimization algorithm,
103, 104
list of constants in mathematical model,
57
list of variables in mathematical model,
58
mathematical model formulation, 38-45,
50-56
mathematical model formulation to include water quality, 148-153
optimization algorithm solution of MD
river basin problem, 106-126
relationship between outputs and inputs, 135-136
solution procedure, 68-69, 103-104
solution procedure to solve expansion
problem (including water quality),
153-156
Optimization techniques, see also Dynamic programming, Integer programming, Linear programming,
Nonlinear programming
analytical and numerical, 16-17
combined with simulation techniques,
139-140
decomposition, 68-69, 103-104
hierarchical, 155
Out-of-kilter algorithm (OKA), 85-103
flow augmenting path, 93
general format, 87-88
Index
271
general format of primal and dual
problems, 86-87
significance of primal and dual variables,
88
Monte Carlo Dynamic Programming
(MCDP), 140
Municipal and industrial water use, see
also Constraints, municipal and
industrial
consumptive use of water, calculation
of, 61-62
water needs, data sources for, 61, 62
water needs as objective of MD river
basin system, 114
Ν
Net revenue (benefit) function, see Objective function
Nonlinear programming, 21-26
examples in water resources management problems, 22
general format, 21-22
operating policy derivation for three
reservoirs, 23-26
unsuitability of generalized Lagrange
multiplier technique for solving
optimal expansion problem, 67
water resources model solution including
water quality, 154-155
Ο
Objective function, see also Capital budgeting problem, Operational policy
problem
definition of, 17-18, 30
describing dam revenue, 44-45
fonnulation in optimal expansion problem, 41-42
illustrations of use, 17-29
linear and nonlinear terms, 17-18
MD river basin system, 116-118
relation to scale of development, 31-32
water resources model including water
quality, 150, 154, 155
Ohio River Basin development program, 7
Operational policy (O.P.) problem, see
also Out-of-kilter algorithm (OKA)
compared in initial and final configurations of MD river basin system,
123-126
forward dynamic programming representation, 154
general format, 69, 83-85
interpretation of dual variables in MD
river basin system, 123, 126
network representation, 84
objective function in MD river basin
system, 116-117
role of source and sink nodes in MD
river basin system, 112, 114
solution method, 102-103
water resources model including water
quality, 151-153, 155
Optimal expansion of an existing water
resources system, see also Computer program DAMBLD
assumptions made in preparing the
problem statement, 38-40
flowchart of optimization algorithm,
103, 104
list of constants in mathematical model,
57
list of variables in mathematical model,
58
mathematical model formulation, 38-45,
50-56
mathematical model formulation to include water quality, 148-153
optimization algorithm solution of MD
river basin problem, 106-126
relationship between outputs and inputs, 135-136
solution procedure, 68-69, 103-104
solution procedure to solve expansion
problem (including water quality),
153-156
Optimization techniques, see also Dynamic programming, Integer programming, Linear programming,
Nonlinear programming
analytical and numerical, 16-17
combined with simulation techniques,
139-140
decomposition, 68-69, 103-104
hierarchical, 155
Out-of-kilter algorithm (OKA), 85-103
flow augmenting path, 93
general format, 87-88