Mathematical programming for agricultural, environmental, and resource economics

XVIII, 494 S.

graph. Darst.

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Formerly CIP Uk. - Includes bibliographical references and index

Machine generated contents note: Preface -- PART 1. LINEAR PROGRAMMING -- Chapter 1: Introductory Concepts and the Graphical Approach to Linear Programming -- 1.1 Applications of Linear Programming in Agriculture, Environment, and Resources Economics -- 1.2 Components of the General Form for the Model -- 1.3 Standard Assumptions of Linear Programming Models -- 1.4 Formulating Linear Programming Problems -- 1.5 The Graphical Approach for Solving Linear Programming Maximization Problems -- 1.6 The Graphical Approach for Solving Linear Programming Minimization Problems -- 1.7 Sensitivity Analysis with the Graphical Approach -- 1.8 Summary -- 1.9 Exercises -- Chapter 2: The Simplex Method to Solving Linear Programming Problems -- 2.1 The Simplex Method for a Simple Maximization Problem -- 2.2 The Simplex Method for Maximization Problems: General Case -- 2.3 The Simplex Method and Minimization Problems -- 2.4 Summary -- 2.5 Exercises -- Chapter 3: Sensitivity Analysis using the Simplex Method and Duality -- 1. Simplex-Based Sensitivity Analysis for Maximization Problems -- 3.2 Simplex-Based Sensitivity Analysis for Minimization Problems -- 3.3 Duality -- 3.4 Solving LP Problems Using Solver -- 3.5 Summary -- 3.6 Appendix: Summation and Matrix Notation -- 3.5 Exercises -- Chapter 4: Farm-Level Linear Programming Models -- 4.1 Static Models of a Crop Farm -- 4.2 Dynamic Models -- 4.3 Crop-Livestock Enterprises -- 4.4 Model Validation -- 4.5 Research Application: Crop Farm Model -- 4.6 Research Application: Economic Feasibility of an Energy Crop on a South Alabama Cotton-Peanut Farm -- 4.7 Summary -- 4.8 Exercises -- Chapter 5: Transportation and Assignment Models for Food and Agricultural Markets -- 5.1 General Transportation Model -- 5.2 Extensions to the Model -- 5.3 The Transshipment Model -- 5.4 The Assignment Model -- 5.5 Research Application: U.S. Dairy Sector Simulator -- 5.6 Summary -- 5.7 Exercises -- Chapter 6: Resource and Environmental Economics Applications of Linear Programming -- 6.1 Linear Programming Applications in Land Use Planning -- 6.2 Optimal Stocking Problem for a Game Ranch -- 6.3 Efficient Irrigation and Cropping Patterns: A Linear Programming Example -- 6.4 Research Application: Optimizing Grizzly Bear Corridor Design -- 6.5 Summary -- 6.6 Exercises -- PART 2. RELAXING THE ASSUMPTION OF LINEAR PROGRAMMING -- Chapter 7: Integer and Binary Programming -- 7.1 Background on Integer programming -- 7.2 The Branch and Bound Solution Procedure -- 7.3 Mixed-integer Programs -- 7.4 Solver's Integer and Binary Programming Options -- 7.5 Capital Budgeting Problems - A Case of Water Conservation -- 7.6 Distribution System Design -- 7.7 Sensitivity Analysis in Integer Programming -- 7.8 Research Application: Optimizing Agricultural Land Protection in Delaware -- 7.9 Comparison of Sequential and Simultaneous Approaches to Binary Linear Programming -- 7.10 Summary -- 7.11 Exercises -- Chapter 8: Optimization of Nonlinear Functions -- 8.1 Slopes of Functions -- 8.2 Shortcut Formulas for Derivatives -- 8.3 Unconstrained Optimization -- 8.4 Multivariate Functions -- 8.5 Constrained Optimization with Equality Constraints -- 8.6 Kuhn-Tucker Conditions and Constrained Optimization with Inequality Constraints -- 8.7 Solving Constrained Optimization Problems with Solver -- 8.8 Research Application: Optimal Advertising -- 8.9 Research Application: Water Pollution Abatement Policies -- 8.10 Summary -- 8.11 Exercises -- Chapter 9: Global Approaches to Nonlinear Optimization -- 9.1 Development of Nonlinear Problems -- 9.2 SOCP Barrier Solver -- 9.3 Evolutionary Solver -- 9.4 Interval Global Solver -- 9.5 A Forestry Example Using Nonlinear Excel Functions -- 9.6 Research Applications: Crop Farming in Northeast Australia -- 9.7 Research Applications: An Analysis of Energy Market Deregulation -- 9.8 Summary -- 9.9 Exercises -- Chapter 10: Risk Programming Models -- 10.1 Expected Value, Variance, and Covariance -- 10.2 Agricultural Decision Analysis under Risk and Uncertainty -- 10.3 Quadratic Risk Programming -- 10.4 Linearized Version of Quadratic Risk Programming -- 10.5 Target MOTAD -- 10.6 Chance Constrained Programming -- 10.7 Discrete Stochastic Sequential Programming -- 10.8 Issues in Measuring Risk in Risk Programming -- 10.9 Research Application: Quadratic Risk Programming -- 10.10 Research Application: Discrete Stochastic Sequential Programming -- 10.11 Research Application: Agriculture and Climate Change -- 10.12 Summary -- 10.13 Exercises -- Chapter 11: Price Endogenous Mathematical Programming Models -- 11.1 The Market under Perfect Competition -- 11.2 The Market under Monopoly/Monopsony and Imperfect Competition -- 11.3 Spatial Equilibrium Models -- 11.4 Industry Models -- 11.5 Research Application: A Spatial Equilibrium Model for Imperfectly Competitive Milk Markets -- 11.6 Research Application: Climate Change and U.S. Agriculture -- 11.7 Summary -- 11.8 Exercises -- Chapter 12: Goal Programming -- 12.1 Goal Programming -- 12.2 Non-preemptive Goal Problem -- 12.3 Preemptive Goal Programming -- 12.4 Deriving Weights for Goal Programming -- 12.5 Research Application: Optimal Parasite Control Programs -- 12.6 Research Application: Forest Land Protection -- 12.7 Summary -- 12.8 Exercises -- Chapter 13: Dynamic Programming -- 13.1 A Network Problem -- 13.2 Characteristics of Dynamic Programming Problems -- 13.3 A Production Inventory Problem -- 13.4 A Capital Budgeting Problem -- 13.5 Comments on DP -- 13.6 Research Application: Animal Health in Developing Countries -- 13.7 Research Application: Conversion to Organic Arable Farming -- 13.8 Summary -- 13.9 Exercises.

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