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Full Description
Geometric Programming is used for cost minimization, profit maximization, obtaining cost ratios, and the development of generalized design equations for the primal variables. The early pioneers of geometric programming—Zener, Duffin, Peterson, Beightler, Wilde, and Phillips—played important roles in its development. Five new case studies have been added to the third edition. There are five major sections: (1) Introduction, History and Theoretical Fundamentals; (2) Cost Minimization Applications with Zero Degrees of Difficulty; (3) Profit Maximization Applications with Zero Degrees of Difficulty; (4) Applications with Positive Degrees of Difficulty; and (5) Summary, Future Directions, and Geometric Programming Theses & Dissertations Titles. The various solution techniques presented are the constrained derivative approach, condensation of terms approach, dimensional analysis approach, and transformed dual approach. A primary goal of this work is to have readers develop more case studies and new solution techniques to further the application of geometric programming.
Contents
Preface.- Introduction.- Brief History of Geometric Programming.- Theoretical Fundamentals.- The Optimal Box Design Case Study.- Trash Can Case Study.- The Building Area Design Case Study.- The Open Cargo Shipping Box Case Study.- Metal Casting Cylindrical Side Riser Case Study.- Inventory Model Case Study.- Process Furnace Design Case Study.- The Gas Transmission Pipeline Case Study.- Material Removal/Metal Cutting Economics Case Study.- Construction Building Sector Cost Minimization Case Study.- Production Function Profit Maximization Case Study.- Product Mix Profit Maximization Case Study.- Chemical Plant Product Profitability Case Study.- Journal Bearing Design Case Study.- Multistory Building Design with a Variable Number of Floors Case Study.- Multistory Building Design with a Variable Number of Floors Case Study.- Metal Casting Cylindrical Side Riser With Hemispherical Top Design Case Study.- Metal Casting Cylindrical Side Riser With Hemispherical Top Design Case Study.- Liquefied Petroleum Gas (LPG) Cylinders Case Study.- Material Removal/Metal Cutting Economics with Two Constraints Case Study.- Material Removal/Metal Cutting Economics with Two Constraints Case Study.- The Open Cargo Shipping Box with Skids Case Study.- Profit Maximization Considering Decreasing Cost Functions of Inventory Policy Case Study.- Profit Maximization Considering Decreasing Cost Functions of Inventory Policy Case Study.- Summary and Future Directions.- Theses and Dissertations on Geometric Programming.- Author's Biography.- Index.
