## Geometric Programming for Design and Cost Optimization: With Illustrative Case Study Problems and SolutionsGeometric 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 |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### Common terms and phrases

400 cubic yards additional equation arithmetic mean Beightler CHAPTER Clarence Zener coefﬁcients and signs constrained derivative approach cost terms Creese cutting speed cylindrical riser degrees of difﬁculty Design by Geometric design relationships determine dimensional analysis approach dual equations dual expression dual formulation dual objective function dual problem formulation dual variables Dufﬁn Elasticity with respect Engineering EVALUATIVE QUESTIONS example problem exponents feed rate ﬁrst geometric programming Horsepower Constraint illustrate in/rev Inventory Carrying Cost Inventory Holding Cost linear programming metal cost metal cutting Minimize modiﬁed obtains order quantity parameters Pingfang posynomials primal and dual primal objective function primal problem primal variables primal-dual relationships respect to Demand riser design Scaling Constant series of costs Set-up Cost side riser signum function signum values solidiﬁcation solve speciﬁc technique tool changing top riser total cost trash unit cost variable cost variables in terms West Virginia University zero degrees