Geometric programming is used for design and cost optimization, the development of generalized design relationships, cost ratios for specific problems, and profit maximization. The early pioneers of the process - Zener, Duffin, Peterson, Beightler, Wilde, and Phillips -- played important roles in the development of geometric programming. There are three major areas: 1) Introduction, History, and Theoretical Fundamentals, 2) Applications with Zero Degrees of Difficulty, and 3) Applications with Positive Degrees of Difficulty. The primal-dual relationships are used to illustrate how to determine the primal variables from the dual solution and how to determine additional dual equations when the degrees of difficulty are positive. A new technique for determining additional equations for the dual, Dimensional Analysis, is demonstrated. The various solution techniques of the constrained derivative approach, the condensation of terms, and dimensional analysis are illustrated with example problems. The goal of this work is to have readers develop more case studies to further the application of this exciting tool. Table of Contents: Introduction / Brief History of Geometric Programming / Theoretical Considerations / The Optimal Box Design Case Study / Trash Can Case Study / The Open Cargo Shipping Box Case Study / Metal Casting Cylindrical Riser Case Study / Inventory Model Case Study / Process Furnace Design Case Study / Gas Transmission Pipeline Case Study / Profit Maximization Case Study / Material Removal/Metal Cutting Economics Case Study / Journal Bearing Design Case Study / Metal Casting Hemispherical Top Cylindrical Side Riser\\Case Study / Liquefied Petroleum Gas (LPG) Cylinders Case Study / Material Removal/Metal Cutting Economics with Two Constraints / The Open Cargo Shipping Box with Skids / Profit Maximization Considering Decreasing Cost Functions of Inventory Policy / Summary and Future Directions / Thesis and Dissertations on Geometric Programming Preface......Page 11 Introduction, History, and Theoretical Fundamentals of Geometric Programming......Page 13 Geometric Programming......Page 15 References......Page 16 Pioneers of Geometric Programming......Page 17 References......Page 18 Primal and Dual Formulation......Page 19 References......Page 22 Geometric Programming Applications with Zero Degrees of Difficulty......Page 23 The Optimal Box Design Problem......Page 25 Evaluative Questions......Page 28 Example......Page 29 Evaluative Questions......Page 32 Problem Statement and General Solution......Page 33 Evaluative Questions......Page 36 References......Page 37 Introduction......Page 39 Problem Formulation and General Solution......Page 41 Example......Page 42 References......Page 43 Problem Statement and General Solution.......Page 45 Example......Page 47 References......Page 48 Problem Statement and Solution......Page 49 References......Page 53 Problem Statement and Solution......Page 55 References......Page 58 Profit Maximization using the Cobb-Douglas Production Function......Page 59 Evaluative Questions......Page 61 References......Page 62 Problem Formulation......Page 63 Evaluative Questions......Page 66 References......Page 67 Geometric Programming Applications with Positive Degrees of Difficulty......Page 69 Primal and Dual Formulation of Journal Bearing Design......Page 71 Dimensional Analysis Technique for Additional Equation......Page 75 Evaluative Questions......Page 76 References......Page 77 Problem Formulation......Page 79 Dimensional Analysis Technique for Additional Two Equations......Page 84 References......Page 87 Problem Formulation......Page 89 Dimensional Analysis Technique for Additional Equation......Page 94 Evaluative Questions......Page 95 References......Page 96 Problem Formulation......Page 97 Problem Solution......Page 99 Evaluative Questions......Page 103 References......Page 104 Primal-Dual Problem Formulation......Page 107 Constrained Derivative Approach......Page 109 Dimensional Analysis Approach for Additional Equation......Page 110 Condensation of Terms Approach......Page 112 References......Page 114 Model Formulation......Page 115 Example......Page 119 Transformed Dual Approach......Page 121 References......Page 124 Development of New Design Relationships......Page 127 Thesis and Dissertations on Geometric Programming......Page 131 Author's Biography......Page 137 Index......Page 139
