Hierarchical analyses of water resources systems: Modeling and optimization of largescale systems
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
McGraw Hill
1977
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| Schriftenreihe: | McGraw-Hill series in water resources and environmental engineering.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXIII, 478 S.: graph.Darst. |
Internformat
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| 245 | 1 | 0 | |a Hierarchical analyses of water resources systems |b Modeling and optimization of largescale systems |
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Datensatz im Suchindex
| _version_ | 1804117954911010816 |
|---|---|
| adam_text | Titel: Hierarchical analyses of water resources systems
Autor: Haimes, Yacov Yosseph
Jahr: 1977
CONTENTS
PART ONE FUNDAMENTALS IN SYSTEMS ENGINEERING 1
1 Optimization Techniques 3
1.1 Introduction to Modeling and Optimization 3
1.1.1 Classification of Mathematical Programming Problems 7
1.2 Classical Unconstrained Optimization Problems 8
1.3 Classical Equality Constraint Problem — 10
The Lagrangian Formulation 10
1.3.1 The Lagrangian Function 10
1.3.2 General Formulation of the Lagrangian Function 11
1.3.3 Lagrange Multipliers and Inequality Constraints 13
1.4 Newton-Raphson Method 16
1.4.1 One-dimensional Problem 16
1.4.2 Multidimensional Problem 18
1.5 Linear Programming 19
1.5.1 Graphical Solution 19
1.5.2 General Problem Formulation 21
1.5.3 Duality in Linear Programming 22
1.5.4 The Simplex Method 29
1.5.5 The Transportation Problem 31
1.6 Dynamic Programming 34
1.6.1 Network Example 34
1.6.2 Principle of Optimality and Recursive Equation 37
1.6.3 An Inventory (Procurement) Problem 43
XU MODELING AND OPTIMIZATION OF COMPLEX WATER RESOURCES SYSTEMS
1.7 Generalized Nonlinear Programming 48
1.7.1 The Kuhn-Tucker Conditions 49
1.7.2 Saddle Point 51
1.7.3 The Dual Function 52
1.7.4 Example Problem 53
References 58
2 Decomposition and Multilevel Optimization 59
2.1 Introduction 59
2.2 Attributes of Decomposition and Multilevel Optimization 60
2.3 General Hierarchical Structures 62
2.3.1 Multistrata Hierarchy 62
2.3.2 Multilayer Hierarchy 63
2.3.3 Multiechelon Hierarchy 63
2.3.4 Summary 63
2.4 Hierarchical Modeling 64
2.4.1 Temporal Description 65
2.4.2 Physical-Hydrological Description 65
2.4.3 Political-Geographical Description 65
2.4.4 Goal-Functional Description 65
2.4.5 Overlapping Decomposition 66
2.5 General Problem Formulation 66
2.5.1 Nonfeasible or Interaction Balance Methods 67
2.5.2 Dantzig-Wolfe Extensions 68
2.5.3 Feasible Methods 69
2.5.4 Interaction Prediction Methods 69
2.6 General Formulation of an Overlapping Decomposition 70
2.6.1 Coordinating Overlapping Decomposition 71
2.6.2 Third-Level Coordination 72
2.7 Feasible and Non-Feasible Decomposition 72
2.7.1 Feasible Decomposition 72
2.7.2 Non-Feasible Decomposition 76
2.7.3 Example Problem 2.1 81
2.7.4 Example Problem 2.2 83
References 87
PART TWO MODELING AND OPTIMIZATION OF COMPLEX
WATER RESOURCES SYSTEMS 89
3 Modeling and System Identification in Water Resources 91
3.1 Introduction 91
3.2 Modeling, Identification, and Parameter Estimation 92
3.2.1 System Identification 92
3.2.2 Parameter Estimation 93
3.2.3 System Modeling 94
CONTENTS Xlll
3.3 Formulation of the Identification Problem 94
3.4 Error Criteria 96
3.4.1 Output Error Criterion 96
3.4.2 Input Error Criterion 97
3.5 Identification of Aquifer Systems 97
3.5.1 Aquifer Systems 97
3.5.2 Statement of the Aquifer Identification Problem 100
3.5.3 Model One 102
3.5.4 Model Two 108
3.5.5 Model Three 111
References 119
Quasilinearization and Ecosystem Modeling 122
4.1 Introduction 122
4.2 Quasilinearization 122
4.2.1 Canonical Form 124
4.2.2 Initial Approximate Solution 127
4.2.3 Linearization and the Newton-Raphson Method 127
4.2.4 Solution of Linear Differential Equations 132
4.2.5 The Identification Error Function 135
4.2.6 Minimize the Identification Error Function 136
4.2.7 Solution of a System of Algebraic Equations 137
4.2.8 Convergence Test 137
4.3 Ecosystem Modeling 138
4.3.1 Introduction 138
4.3.2 The Lake Erie Algae Growth Problem 139
4.3.3 Laplace Transformation 140
4.3.4 Application of Quasilinearization 142
4.3.5 Numerical Laplace Transformation 143
4.3.6 Computational Results 146
4.3.7 Conclusions 154
References 154
Water Resource Project Scheduling and Capacity Expansion 156
5.1 The Nature of the Problem 156
5.2 Single-Location Scheduling Models 158
5.2.1 Type I Single-Location Project Scheduling Problem (SLPSP) 160
5.2.2 Type II SLPSP 161
5.3 Formulation of the Discrete Project Scheduling Problem 162
5.3.1 Initial Assumptions for Type III and IV SLPSPs 162
5.3.2 Type IV SLPSP Formulated as an Integer Program 163
5.3.3 Dynamic Programming Solution of the Discrete SLPSP 165
5.3.4 Concept of Subschedule Optimality 167
5.3.5 Project Scheduling with Linearly Growing Demands 170
5.3.6 Sufficiency Conditions for Optimality of BHH Algorithm 172
xiv MODELING AND OPTIMIZATION OF COMPLEX WATER RESOURCES SYSTEMS
5.4 Inclusion of Unit Costs 172
5.4.1 Fixed Annual Costs 173
5.4.2 BHH Algorithm Modified for Per Unit Costs 174
5.4.3 Properties of Project Schedules which Include
Per Unit Costs 175
5.4.4 Formulation of SLPSP as a Mixed Integer Program (MIP) 176
5.5 Additional Modification to the Type IV SLPSP 177
5.5.1 Type of Project Interaction 177
5.5.2 Modification of the BHH Algorithm for
Project Interactions 179
5.5.3 Dynamic Program with Time Period as the State Variable 180
5.6 Multilocation Scheduling Models 182
5.6.1 Statement of the Multiple-location Project
Scheduling Problem (MLPSP) 184
5.6.2 Notation 185
5.6.3 Formulation of MLPSP 186
5.6.4 Project Scheduling and Water Balance 188
5.6.5 Decomposition of the MLPSP 189
References 193
6 A Decomposition Approach for the Optimal Scheduling
and Capacity Expansion
6.1 Introduction
6.2 Problem Formulation
6.3 Computational Limitations
6.4 An Incremental Decomposition Approach
6.4.1 An Import-Export Structure
6.4.2 The Importer Solution and Incremental Cost
6.4.3 The Exporter Solution and Incremental Cost
6.4.4 Construction and Convergence of the Optimal
Subsystem Demand
6.5 Example Problem 6.1
6.6 Convergence Properties
6.7 Computational Properties
6.8 Multiple Demands Problem
6.9 Conclusions
References
7 Multiobjectives in Water Resources Systems
7.1 Introduction
7.2 Examples of Multiple Environmental Objectives
7.2.1 Flood Control vs. Hydropower Generation
7.2.2 Water Quality vs. Cost of Treatment
7.3 The Surrogate Worth Trade-off (SWT) Method
7.3.1 The Trade-off Function
( ONTKNTS XV
7.3.2 The Surrogate Worth Function 228
7.3.3 Transformation to the Decision Space 231
7.3.4 The Surrogate Worth Trade-off Method with
Multiple Decision-Makers 233
7.3.5 Summary 235
7.4 The Surrogate Worth Trade-off Method and the
Utility Function Approach 235
7.4.1 Utility Function 236
7.4.2 Trade-offs and Marginal Rate of Substitution 238
7.4.3 Interactive Procedures 240
7.5 Example Problems 242
7.5.1 Example Problem 7.1 242
7.5.2 Example Problem 7.2 246
7.6 Sensitivity vs. Optimality in a Multiobjective Framework 249
7.6.1 Example Problem 7.3 249
References 255
Hierarchical Modeling of Water Resource Systems 257
8.1 Introduction 257
8.2 Regional Approach 258
8.3 Why a Total Water Resources System? 260
8.3.1 Benefit-Cost Analysis in Water Resources Systems 261
8.3.2 Value of a Regional Approach in Investment Planning 261
8.3.3 The Needs for Long-range Economically Based Planning 262
8.3.4 Concept of Efficiency in Water Resource Planning 262
8.3.5 Hierarchical Structures in Water Resource Systems 263
8.4 California Water Project 263
8.5 Multistage Flash Distillation Process 265
8.6 Water Quality Control and Management 267
8.7 Multilevel Dynamic Programming Structure 269
8.7.1 Third-Level Optimization 272
8.7.2 Second-Level Hierarchy 272
8.7.3 First-Level Hierarchy 275
8.7.4 Coordination of the Submodels 276
8.7.5 Summary 279
8.8 Hierarchical Model with Multiple Demand Functions 279
8.8.1 Supply Model 279
8.8.2 Demand Model 282
8.8.3 Higher-Level Coordinator 287
8.8.4 Solution Procedure 289
8.8.5 Conclusions 291
References 292
Multiobjective Analysis in the Maumee River Basin: „,
A Case Study on Level-B Planning ~
9.1 Overview
xvi MODELING AND OPTIMIZATION OF COMPLEX WATER RESOURCES SYSTEMS
9.2 Level-B Planning 297
9.3 Maumee River Basin 298
9.4 Planning Submodels 301
9.4.1 Submodel Characteristics 302
9.5 Submodel Formulation 304
9.5.1 Land Resources Planning Submodel 304
9.5.2 Area Source Sediment Pollution Submodel 306
9.5.3 Area Source Phosphorus Pollution Submodel 306
9.5.4 Land-Based Outdoor Recreational Submodel 306
9.5.5 Wildlife Habitat Submodel 307
9.5.6 Flood Plain Submodel 307
9.5.7 Wastewater Treatment (WWT) Plants Capacity
Expansion Cost Submodel 307
9.5.8 Point Source Phosphorus Pollution Submodel 309
9.5.9 Stream BOD Level Submodel 309
9.5.10 Stream DO Level Submodel 310
9.6 Multiobjective Integrated Planning Model 311
9.6.1 Land Resources Planning Multiobjective Model 311
9.6.2 Wastewater Treatment Plant Capacity Expansion
Cost Model 311
9.7 Model Implementation 312
9.7.1 Public Participation 312
9.7.2 Generation of Alternative Plans 312
9.7.3 Generation of Pareto Optimum Solutions 314
9.7.4 Trade-off Analysis 317
9.7.5 Decision-makers Preferences 319
9.8 The Fallacy of Optimality 321
References 322
10 Coordination of Supply and Demand Planning Models 324
10.1 Benefit-Cost Analysis and Capacity Expansion Planning 324
10.2 Supply Models 327
10.3 Regional Economic Demand Models 332
10.3.1 Introduction to Regional Demand Modeling 332
10.3.2 Leon tief Input-Output Models 333
10.3.3 Regional Demand Model 338
10.4 Supply-Demand Coordinating Model 340
10.4.1 Introduction 340
10.4.2 Goals of the Coordinating Model 342
10.4.3 Overall Integrated Model Formulation 345
10.4.4 Supply-Demand Coordination Model 350
10.5 North Atlantic Region A Case Study 356
References 362
CONTENTS XVII
11 Hierarchical Structures with Effluent Charges for Water Quality Control 364
11.1 Introduction 364
11.2 General Hierarchical Modeling Structure 366
11.2.1 Systems Decomposition 369
11.2.2 Economic Interpretation of/.¡ 371
11.3 Two-Level Structure 372
11.3.1 Model Formulation 372
11.3.2 Pseudo-Decentralized Decision Process 374
11.3.3 Complete Decentralized Decision Process 379
11.4 Multipollutant Hierarchical System 382
11.4.1 Chattahoochee River 383
11.4.2 Model Formulation 384
11.4.3 Multilevel Optimization 387
11.4.4 Example Problem 392
11.4.5 Conclusions 396
11.5 Three-Level Structure 396
11.5.1 Solution Procedure 397
11.5.2 Conclusions 401
References 401
12 Applications of Hierarchical Modeling to Conjunctive Management
of Ground and Surface Water 403
12.1 Introduction 403
12.1.1 Groundwater Flow Equation 406
12.1.2 Multiceli Model Formulation 407
12.2 Decomposition of Groundwater Response Functions
into Linear Systems 409
12.2.1 The Algebraic Technological Functions 411
12.2.2 Extension of the Algebraic Technological Function 414
12.3 Management of a Groundwater Aquifer Stream System 417
12.3.1 Model Formulation 418
12.4 Hierarchical Management Model 422
12.4.1 First-Level Optimization 424
12.4.2 Second-Level Optimization Model 426
12.5 A Case Study 429
12.5.1 Computational Results 432
References 435
13 A Tax-Quota System for the Planning and Management of Groundwater 437
13.1 Introduction 437
13.2 Dry Alkaline Valley Revisited 440
13.2.1 Economic Assumptions 440
13.2.2 Hydrological Assumptions 441
13.2.3 Political Assumptions 441
13.3 The Quota Computations 441
XVIIl MODELING AND OPTIMIZATION OF COMPLEX WATER RESOURCES SYSTEMS
13.4 Decomposition and Multilevel Approach
13.5 Quotas and Cropping Patterns for Dry Alkaline Valley
13.6 Tax Computations
13.7 Assumptions and Sensitivity
13.8 Summary and Conclusions
References
446
449
450
458
460
460
Appendix A Fundamentals in Matrix Algebra
Appendix  Convexity
Appendix C State Incremental Dynamic Programming
Index
462
465
468
|
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| spelling | Haimes, Yacov 1936- Verfasser (DE-588)12181758X aut Hierarchical analyses of water resources systems Modeling and optimization of largescale systems New York McGraw Hill 1977 XXIII, 478 S.: graph.Darst. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill series in water resources and environmental engineering. Water resources development Systems engineering Wasserversorgung (DE-588)4064811-4 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wasserversorgung (DE-588)4064811-4 s Mathematisches Modell (DE-588)4114528-8 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002295466&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Haimes, Yacov 1936- Hierarchical analyses of water resources systems Modeling and optimization of largescale systems Water resources development Systems engineering Wasserversorgung (DE-588)4064811-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4064811-4 (DE-588)4114528-8 |
| title | Hierarchical analyses of water resources systems Modeling and optimization of largescale systems |
| title_auth | Hierarchical analyses of water resources systems Modeling and optimization of largescale systems |
| title_exact_search | Hierarchical analyses of water resources systems Modeling and optimization of largescale systems |
| title_full | Hierarchical analyses of water resources systems Modeling and optimization of largescale systems |
| title_fullStr | Hierarchical analyses of water resources systems Modeling and optimization of largescale systems |
| title_full_unstemmed | Hierarchical analyses of water resources systems Modeling and optimization of largescale systems |
| title_short | Hierarchical analyses of water resources systems |
| title_sort | hierarchical analyses of water resources systems modeling and optimization of largescale systems |
| title_sub | Modeling and optimization of largescale systems |
| topic | Water resources development Systems engineering Wasserversorgung (DE-588)4064811-4 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Water resources development Systems engineering Wasserversorgung Mathematisches Modell |
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