Geometric programming for design and cost optimization

✍ Scribed by Robert Creese

• Publisher: Morgan & Claypool Publishers
• Year: 2009
• Tongue: English
• Leaves: 83
• Series: Synthesis Lectures on Engineering
• Edition: 1
• Category: Library

✦ Synopsis

Geometric programming is used for design and cost optimization and the development of generalized design relationships and cost rations for specific problems. The early pioneers of the process, Zener, Duffin, Peterson, Beightler, and Wilde, played important roles in the development of geometric programming. The theory of geometric programming is presented and 10 examples are presented and solved in detail. The examples illustrate some of the difficulties encountered in typical problems and techniques for overcoming these difficulties. The primal-dual relationships are used to illustrate how to determine the primal variables from the dual solution. These primal-dual relationships can be used to determine additional dual equations when the degrees of difficulty are positive. The goal of this work is to have readers develop more case studies to further the application of this exciting mathematical tool. Table of Contents: Introduction / Brief History of Geometric Programming / Theoretical Considerations / Trash Can Case Study / Open Cargo Shipping Box Case Study / Metal Casting Cylindrical Riser Case Study / Process Furnace Design Case Study / Gas Transmission Pipeline Case Study / Journal Bearing Design Case Study / Metal Casting Hemispherical Top Cylindrical Side Riser / Liquefied Petroleum Gas(LPG) Cylinders Case Study / Material Removal/Metal Cutting Economics Case Study / Summary and Future Directions

✦ Table of Contents

Cover Page
......Page 1
Preface......Page 12
Geometric Programming......Page 14
Evaluative Questions......Page 15
Evaluative Questions......Page 16
Primal and Dual Formulation......Page 18
The Optimal Box Design Problem......Page 20
Evaluative Questions......Page 23
Problem Statement and General Solution......Page 24
Evaluative Questions......Page 27
Problem Statement and General Solution......Page 28
Evaluative Questions......Page 31
Introduction......Page 34
Problem Formulation and General Solution......Page 36
Example Problem......Page 37
Evaluative Questions......Page 38
Problem Statement and Solution......Page 40
Evaluative Questions......Page 43
Problem Statement and Solution......Page 46
Evaluative Questions......Page 49
Primal and Dual Formulation of Journal Bearing Design......Page 50
Evaluative Questions......Page 54
Problem Formulation......Page 56
Evaluative Questions......Page 61
Problem Formulation......Page 62
Evaluative Questions......Page 67
Problem Formulation......Page 70
Evaluative Questions......Page 73
Index......Page 76