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

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Dr. Robert C. Creese was Professor of Industrial and Management Systems Engineering at West Virginia University and taught courses on Engineering Economy, Advanced Engineering Economics, Cost and Estimating for Manufacturing, Manufacturing Processes, and Advanced Manufacturing Processes. He has previously taught at The Pennsylvania State University (9 years), Grove City College (4 years), Aalborg University in Denmark (3 sabbaticals), and West Virginia University for 35 years. He worked at US Steel for two years as an Industrial Engineer before starting his teaching career. Dr. Creese is a Fellow of the AACE International, received the Charles V. Keane Service Award and Brian D. Dunfield Educational Service Award presented by AACE International, and was treasurer of the Northern West Virginia Section of AACE International for more than 20 years. He is a Life Member of AACE International, ASEE (American Society for Engineering Education), and ASM (American Society for Materials). He also is a member of ICEAA (International Cost Estimating & Analysis Association), AIST (Association for Iron & Steel Technology), AWS (American Welding Society), and AFS (American Foundry Society). He obtained his B.S. in Industrial Engineering from The Pennsylvania State University, his M.S. in Industrial Engineering from the University of California at Berkeley, and his Ph.D. in Metallurgy from The Pennsylvania State University. Dr. Robert C. Creese has authored the book Introduction to Manufacturing Processes and Materials (Marcel Dekker-1999) and co-authored two books Estimating and Costing for the Metal Manufacturing Industries (Marcel Dekker-1992) with Dr. M. Adithan, Professor Emeritus of VIT University Vellore, India, and Dr. B.S. Pabla of the Technical Teachers' Training Institute, Chandigarh, India, and Strategic Cost Analysis for Project Managers and Engineers (New Age International Publishers-2010) with Dr. M. Adithan, VIT University, Vellore, India. He has authored/co-authored more than 100 technical papers.