Geometric programming for design and cost optimization : with illustrative case study problems and solutions /
By: Creese, Robert C.
Material type:
BookSeries: Synthesis lectures on engineering: # 10.Publisher: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2010Description: 1 electronic text (ix, 70 p. : ill.) : digital file.ISBN: 9781608452637 (electronic bk.).Uniform titles: Synthesis digital library of engineering and computer science. Subject(s): Geometric programmingDDC classification: 516 Online resources: Abstract with links to resource Also available in print.| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
E books
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PK Kelkar Library, IIT Kanpur | Available | EBKE213 |
Mode of access: World Wide Web.
System requirements: Adobe Acrobat reader.
Part of: Synthesis digital library of engineering and computer science.
Series from website.
Includes bibliographical references (p. 67-68) and index.
1. Introduction -- Optimization and geometric programming -- Optimization -- Geometric programming -- Evaluative questions -- 2. Brief history of geometric programming -- Pioneers of geometric programming -- Evaluative questions -- 3. Theoretical considerations -- Primal and dual formulation -- The optimal box design problem -- Evaluative questions -- 4. Trash can case study -- Introduction -- Problem statement and general solution -- Evaluative questions -- 5. Open cargo shipping box case study -- Problem statement and general solution -- Evaluative questions -- 6. Metal casting cylindrical riser case study -- Introduction -- Problem formulation and general solution -- Example problem -- Evaluative questions -- 7. Process furnace design case study -- Problem statement and solution -- Evaluative questions -- 8. Gas transmission pipeline case study -- Problem statement and solution -- Evaluative questions -- 9. Journal bearing design case study -- Introduction -- Primal and dual formulation of journal bearing design -- Evaluative questions -- 10. Metal casting hemispherical top cylindrical side riser case study -- Introduction -- Problem formulation -- Evaluative questions -- 11. Liquefied petroleum gas (LPG) cylinders case study -- Introduction -- Problem formulation -- Evaluative questions -- 12. Material removal/metal cutting economics case study -- Introduction -- Problem formulation -- Evaluative questions -- 13. Summary and future directions -- Summary -- Future directions -- Development of new design relationships -- Bibliography -- Index.
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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.
Also available in print.
Title from PDF t.p. (viewed on November 4, 2009).
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