Dynamic programming is a method of solving multi-stage problems in which decisions at one stage become the conditions governing the succeeding stages. It can be applied to the management of water reservoirs, allowing them to be operated more efficiently. This is one of the few books dedicated solely to dynamic programming techniques used in reservoir management. It presents the applicability of these techniques and their limits on the operational analysis of reservoir systems. The dynamic programming models presented in this book have been applied to reservoir systems all over the world, helping the reader to appreciate the applicability and limits of these models. The book also includes a model for the operation of a reservoir during an emergency situation. This volume will be a valuable reference to researchers in hydrology, water resources and engineering, as well as professionals in reservoir management.
Author(s): K. D. W. Nandalal, Janos J. Bogardi
Edition: 2nd
Publisher: Cambridge University Press
Year: 2007
Language: English
Pages: 144
Cover......Page 1
Half-title......Page 3
Series-title......Page 4
Title......Page 5
Copyright......Page 6
Contents......Page 7
Figures......Page 8
Tables......Page 10
Preface......Page 13
1.1 GENERAL......Page 17
1.2 ROLE OF RESERVOIRS......Page 18
1.3 OPTIMAL RESERVOIR OPERATION......Page 19
1.5 INCREMENTAL DYNAMIC PROGRAMMING......Page 20
1.6 STOCHASTIC DYNAMIC PROGRAMMING......Page 22
1.7.1 Deterministic dynamic programming based reservoir operation models......Page 25
1.7.2 Stochastic dynamic programming based reservoir operation models......Page 26
1.8 DEVELOPMENTS IN DYNAMIC PROGRAMMING......Page 29
2.1.1 Application of IDP to the Kariba Reservoir......Page 32
2.1.2 Application of IDP to Ubol Ratana Reservoir......Page 36
2.1.3 Applicability of IDP for a single reservoir......Page 38
2.2 IDP IN OPTIMAL RESERVOIR OPERATION: MULTIPLE- RESERVOIR SYSTEM......Page 39
3.1 SDP IN OPTIMAL RESERVOIR OPERATION: SINGLE RESERVOIR......Page 47
3.2 SDP IN OPTIMAL RESERVOIR OPERATION: MULTIPLE- RESERVOIR SYSTEM......Page 48
3.2.1 Application of SDP to the Mahaweli water resources system......Page 50
3.3.1 Markov inflow transition probabilities......Page 54
3.3.2 State and decision variables......Page 59
3.3.3 Inflow serial correlation assumptions......Page 65
3.3.4 Summary of observations......Page 74
4 Optimal reservoir operation for water quality......Page 75
4.1.1 Optimization Model 1: controlling discharges only......Page 76
4.1.2 Optimization Model 2: controlling both inflows and discharges......Page 77
4.1.4 Model of salinity in a reservoir......Page 78
4.2 THE JARREH RESERVOIR IN IRAN......Page 79
4.3.1 Optimization Model 1: controlling discharges only......Page 82
4.3.2 Optimization Model 2: controlling both inflows and discharges......Page 85
5.1.1 Decomposition based methodologies......Page 89
5.1.2 Approaches based on aggregation/disaggregation principles......Page 91
5.1.3 Approaches based on continuous approximations of discrete functions......Page 93
5.2.1 Tunis water resources system......Page 94
5.2.2 System decomposition: Tunis system......Page 98
5.2.3 Sequential downstream-moving decomposition: Tunis system......Page 99
5.2.4 Iterative downstream-moving decomposition: Tunis system......Page 100
5.2.6 Comparison of the three decomposition alternatives: Tunis system......Page 102
5.2.7 Sequential downstream-moving decomposition: Mahaweli system......Page 105
5.2.8 Iterative upstream-moving decomposition: Mahaweli system......Page 107
5.3 COMPOSITE RESERVOIR MODEL FORMULATION......Page 110
5.3.1 Analysis of the Mahaweli system based on three subsystems......Page 112
5.3.2 Three-composite-reservoir IDP model......Page 113
5.4.1 Generation of synthetic streamflow data......Page 119
5.4.3 Regression analysis......Page 120
5.5.1 Disaggregation of composite operation policies......Page 122
6.1 FEITSUI RESERVOIR PROJECT IN TAIWAN......Page 126
6.3.1 Objective function for long-term operation......Page 128
6.3.2 Constraints in the model......Page 130
6.3.3 Discretization of storage spaces and termination criteria......Page 131
6.3.5 Data generation......Page 132
6.3.6 Comparison among different types of SDP......Page 133
6.4.1 Simulation model......Page 134
6.4.2 Decision model......Page 135
6.5 APPLICATION AND SENSITIVITY ANALYSIS......Page 137
6.6 SOME REMARKS ON OPERATIONAL MODE SWITCH SYSTEM......Page 139
References......Page 141
Index......Page 145
