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Preface | |
Linear Programming | |
Introductory Concepts and the Graphical Approach to Linear Programming | |
Applications of Linear Programming in Agriculture, Environment, and Resources Economics | |
Components of the General Form for the Model | |
Standard Assumptions of Linear Programming Models | |
Formulating Linear Programming Problems | |
The Graphical Approach for Solving Linear Programming Maximization Problems | |
The Graphical Approach for Solving Linear Programming Minimization Problems | |
Sensitivity Analysis with the Graphical Approach | |
Summary | |
Exercises | |
The Simplex Method to Solving Linear Programming Problems | |
The Simplex Method for a Simple Maximization Problem | |
The Simplex Method for Maximization Problems: General Case | |
The Simplex Method and Minimization Problems | |
Summary | |
Exercises | |
Sensitivity Analysis using the Simplex Method and Duality | |
Simplex-Based Sensitivity Analysis for Maximization Problems | |
Simplex-Based Sensitivity Analysis for Minimization Problems | |
Duality | |
Solving LP Problems Using Solver | |
Summary | |
Appendix: Summation and Matrix Notation | |
Exercises | |
Farm-Level Linear Programming Models | |
Static Models of a Crop Farm | |
Dynamic Models | |
Crop-Livestock Enterprises | |
Model Validation | |
Research Application: Crop Farm Model | |
Research Application: Economic Feasibility of an Energy Crop on a South Alabama Cotton-Peanut Farm | |
Summary | |
Exercises | |
Transportation and Assignment Models for Food and Agricultural Markets | |
General Transportation Model | |
Extensions to the Model | |
The Transshipment Model | |
The Assignment Model | |
Research Application: U.S. Dairy Sector Simulator | |
Summary | |
Exercises | |
Resource and Environmental Economics Applications of Linear Programming | |
Linear Programming Applications in Land Use Planning | |
Optimal Stocking Problem for a Game Ranch | |
Efficient Irrigation and Cropping Patterns: A Linear Programming Example | |
Research Application: Optimizing Grizzly Bear Corridor Design | |
Summary | |
Exercises | |
Relaxing the Assumption of Linear Programming | |
Integer and Binary Programming | |
Background on Integer programming | |
The Branch and Bound Solution Procedure | |
Mixed-integer Programs | |
Solver's Integer and Binary Programming Options | |
Capital Budgeting Problems - A Case of Water Conservation | |
Distribution System Design | |
Sensitivity Analysis in Integer Programming | |
Research Application: Optimizing Agricultural Land Protection in Delaware | |
Comparison of Sequential and Simultaneous Approaches to Binary Linear Programming | |
Summary | |
Exercises | |
Optimization of Nonlinear Functions | |
Slopes of Functions | |
Shortcut Formulas for Derivatives | |
Unconstrained Optimization | |
Multivariate Functions | |
Constrained Optimization with Equality Constraints | |
Kuhn-Tucker Conditions and Constrained Optimization with Inequality Constraints | |
Solving Constrained Optimization Problems with Solver | |
Research Application: Optimal Advertising | |
Research Application: Water Pollution Abatement Policies | |
Summary | |
Exercises | |
Global Approaches to Nonlinear Optimization | |
Development of Nonlinear Problems | |
SOCP Barrier Solver | |
Evolutionary Solver | |
Interval Global Solver | |
A Forestry Example Using Nonlinear Excel Functions | |
Research Applications: Crop Farming in Northeast Australia | |
Research Applications: An Analysis of Energy Market Deregulation | |
Summary | |
Exercises | |
Risk Programming Models | |
Expected Value, Variance, and Covariance | |
Agricultural Decision Analysis under Risk and Uncertainty | |
Quadratic Risk Programming | |
Linearized Version of Quadratic Risk Programming | |
Target MOTAD | |
Chance Constrained Programming | |
Discrete Stochastic Sequential Programming | |
Issues in Measuring Risk in Risk Programming | |
Research Application: Quadratic Risk Programming | |
Research Application: Discrete Stochastic Sequential Programming | |
Research Application: Agriculture and Climate Change | |
Summary | |
Exercises | |
Price Endogenous Mathematical Programming Models | |
The Market under Perfect Competition | |
The Market under Monopoly/Monopsony and Imperfect Competition | |
Spatial Equilibrium Models | |
Industry Models | |
Research Application: A Spatial Equilibrium Model for Imperfectly Competitive Milk Markets | |
Research Application: Climate Change and U.S. Agriculture | |
Summary | |
Exercises | |
Goal Programming | |
Goal Programming | |
Non-preemptive Goal Problem | |
Preemptive Goal Programming | |
Deriving Weights for Goal Programming | |
Research Application: Optimal Parasite Control Programs | |
Research Application: Forest Land Protection | |
Summary | |
Exercises | |
Dynamic Programming | |
A Network Problem | |
Characteristics of Dynamic Programming Problems | |
A Production Inventory Problem | |
A Capital Budgeting Problem | |
Comments on DP | |
Research Application: Animal Health in Developing Countries | |
Research Application: Conversion to Organic Arable Farming | |
Summary | |
Exercises | |
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