Beschreibung
Inhaltsangabe1. Introduction to Environmental Systems Engineering.- 1.1 Introduction.- 1.2 Systems Engineering.- 1.3 Mathematical Models.- 1.4 The Systems Engineering Problem.- 1.5 Systems Engineering Problems.- 1.6 The Model Building Process.- 1.7 Simulation Modeling.- 1.8 Optimization Modeling.- References.- Problems.- 2. An Introduction to Optimization Theory.- 2.1 Introduction.- 2.2 Classification of Optimization Models.- 2.3 Geometry of the Mathematical Optimization Problem.- 2.4 Nonlinear Optimization and Types of Maxima.- 2.5 Convex Sets and Functions.- 2.6 Weierstrass Theorems.- 2.7 The Local-Global Theorem.- 2.8 The Kuhn-Tucker Conditions.- 2.9 The Kuhn-Tucker Theorem.- 2.10 Interpretation of the Lagrange Multipliers.- 2.11 The Saddle Point Problem.- 2.12 Maximin Dual Problem.- References.- Problems.- 3. Microeconomics: Theory of Production.- 3.1 Introduction.- 3.2 The Competitive Economy.- 3.3 The Production Function.- 3.4 Theory of the Firm.- 3.5 Maximum Output Model.- 3.6 Production Optimization.- 3.6.1 Cost Functions.- 3.6.2 Externalities.- 3.7 Comparative Statics of the Firm.- 3.8 Public Project Evaluation.- 3.9 Case Study 1- Agricultural Benefits.- 3.9.1 Introduction.- 3.9.2 Economic Model.- 3.9.3 Model Results and Conclusions.- References.- Problems.- 4. Microeconomics: Theory of the Household.- 4.1 Introduction.- 4.2 Commodity Space and Preference Relations.- 4.3 Theory of the Household.- 4.4 Comparative Statics.- 4.5 General Equilibrium.- 4.5.1 Classical General Equilibrium.- 4.5.2 Neoclassical General Equilibrium.- 4.6 Market Equilibrium.- References.- Problems.- 5. Engineering Economics.- 5.1 Introduction.- 5.2 The Time Value of Money.- 5.3 Engineering Economic Formulas.- 5.4 Evaluation of Alternatives.- 5.5 Present Worth Method.- 5.6 Annual Worth Method.- 5.7 Benefit Cost Ratio.- 5.8 Internal Rate of Return.- 5.9 Depreciation and Income Tax Analysis.- 5.9.1 Depreciation Methods.- 5.9.2 Pre-1982 Depreciation Methods.- 5.10 Inflation.- References.- Problems.- 6. Linear Programming.- 6.1 Introduction.- 6.2 Optimality of Linear Programming Problems.- 6.3 Standard Form.- 6.4 Basic and Basic Feasible Solutions.- 6.5 The Simplex Algorithm.- 6.6 The Simplex Tableau.- 6.7 The Two-Phase Method.- 6.8 General Summary of the Simplex Algorithm.- 6.9 Duality.- 6.10 Matrix Representation of the Simplex Method.- 6.11 Economic Interpretation of the Dual Problem.- 6.12 The Revised Simplex Method.- 6.13 Sensitivity Analysis.- 6.13.1 Changes in the Cost Coefficients.- 6.13.2 Changes in the Coefficient Matr.- 6.13.3 Changes in the Constant Vector.- 6.14 Large-Scale Linear Programming Models.- 6.14.1 Commercial Codes.- 6.14.2 Matrix Generators and MPS Data.- 6.14.3 Computational Efficiency.- 6.15 Case Study 1 Groundwater Planning.- 6.15.1 Introduction.- 6.15.2 Groundwater Optimization Model.- 6.15.3 Model Application.- 6.15.4 Conclusions.- References.- Problems.- 7. Nonlinear Programming.- 7.1 Introduction.- 7.2 Unconstrained Optimization Methods.- 7.2.1 Indirect Methods.- 7.2.2 Direct Methods.- 7.2.3 Dichotomous Search Method.- 7.2.4 Cauchy Cyclic Coordinate Ascent.- 7.2.5 Powell's Conjugate Direction Method.- 7.3 Gradient-Based Methods.- 7.3.1 Cauchy's Method.- 7.3.2 Newton's Method.- 7.3.3 Marquardt's Algorithm.- 7.4 Constrained Optimization Methods.- 7.4.1 Separable Programming.- 7.4.2 Frank-Wolfe Algorithm.- 7.4.3 Tin's Algorithm.- 7.4.4 The Reduced Gradient Method.- 7.4.5 The Generalized Reduced Gradient Method.- 7.4.6 The Convex Simplex Method.- 7.4.7 Box's Algorithm.- 7.5 Case Study 1 North China Plain Water Management.- 7.5.1 The Management Model.- 7.5.2 Production Functions.- 7.5.3 Model Application.- 7.5.4 Model Results.- 7.5.5 Conclusions.- 7.6 Dynamic Programming.- 7.7 Case Study 2 Water Quality Management.- 7.7.1 Introduction.- 7.7.2 Mathematical Model.- 7.7.3 The Management Model.- 7.7.4 Dynamic Programming Solution.- 7.7.5 Model Application and Results.- 7.7.6 Conclusions.- 7.8 linked Simulation-Optimization Methodology.- 7.9
