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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