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 and index.

Part I. Introduction, history, and theoretical fundamentals of geometric programming -- 1. Introduction -- Optimization and geometric programming -- Optimization -- Geometric programming -- Evaluative questions -- References -- 2. Brief history of geometric programming -- Pioneers of geometric programming -- Evaluative questions -- References -- 3. Theoretical considerations -- Primal and dual formulation -- Evaluative questions -- References --

Part II. Geometric programming applications with zero degrees of difficulty -- 4. The optimal box design case study -- The optimal box design problem -- Evaluative questions -- 5. Trash can case study -- Introduction -- Problem statement and general solution -- Example -- Evaluative questions -- 6. Open cargo shipping box case study -- Problem statement and general solution -- Evaluative questions -- References -- 7. Metal casting cylindrical riser case study -- Introduction -- Problem formulation and general solution -- Example -- Evaluative questions -- References -- 8. Inventory model case study -- Problem statement and general solution -- Example -- Evaluative questions -- References -- 9. Process furnace design case study -- Problem statement and solution -- Evaluative questions -- References -- 10. Gas transmission pipeline case study -- Problem statement and solution -- Evaluative questions -- References -- 11. Profit maximization case study -- Profit maximization and geometric programming -- Profit maximization using the Cobb-Douglas production function -- Evaluative questions -- References -- 12. Material removal/metal cutting economics case study -- Introduction -- Problem formulation -- Evaluative questions -- References --

Part III. Geometric programming applications with positive degrees of difficulty -- 13. Journal bearing design case study -- Introduction -- Primal and dual formulation of journal bearing design -- Dimensional analysis technique for additional equation -- Evaluative questions -- References -- 14. Metal casting hemispherical top cylindrical side riser case study -- Introduction -- Problem formulation -- Dimensional analysis technique for additional two equations -- Evaluative questions -- References -- 15. Liquefied petroleum gas (LPG) cylinders case study -- Introduction -- Problem formulation -- Dimensional analysis technique for additional equation --Evaluative questions -- References -- 16. Material removal/metal cutting economics with two constraints -- Introduction -- Problem formulation -- Problem solution -- Example problem -- Evaluative questions -- References -- 17. The open cargo shipping box with skids -- Introduction -- Primal-dual problem formulation -- Constrained derivative approach -- Dimensional analysis approach for additional equation -- Condensation of terms approach -- Evaluative questions -- References -- 18. Profit maximization considering decreasing cost functions of inventory policy -- Introduction -- Model formulation -- Example -- Transformed dual approach -- Evaluative questions -- References -- 19. Summary and future directions -- Summary -- Future directions -- Development of new design relationships -- 20. Thesis and dissertations on geometric programming -- Author's biography -- Index.

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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.

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Title from PDF t.p. (viewed on January 13, 2011).