Geometric programming for design equation development and cost/profit optimization : (with illustrative case study problems and solutions) / Robert C. Creese.
Geometric Programming is used for cost minimization, profit maximization, obtaining cost ratios, and the development of generalized design equations for the primal variables. The early pioneers of geometric programming--Zener, Duffin, Peterson, Beightler, Wilde, and Phillips-- played important roles...
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| Online Access: |
Full Text (via Morgan & Claypool) |
|---|---|
| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
[San Rafael, California] :
Morgan & Claypool,
2017.
|
| Edition: | Third edition. |
| Series: | Synthesis lectures on engineering (Online) ;
# 27. |
| Subjects: |
Table of Contents:
- Part I. Introduction, history, and theoretical fundamentals of geometric programming
- 1. Introduction
- 1.1 Optimization and geometric programming
- 1.1.1 Optimization
- 1.1.2 Geometric programming
- 1.2 Evaluative questions
- 1.3 References
- 2.Brief history of geometric programming
- 2.1 Pioneers of geometric programming
- 2.2 Evaluative questions
- 2.3 References
- 3. Theoretical fundamentals
- 3.1 Primal and dual formulations
- 3.2 Evaluative questions
- 3.3 References
- Part II. Geometric programming cost minimization applications with zero degrees of difficulty
- 4. The optimal box design case study
- 4.1 Introduction
- 4.2 The optimal box design problem
- 4.3 Evaluative questions
- 5. Trash can case study
- 5.1 Introduction
- 5.2 The optimal trash can design problem
- 5.3 Evaluative questions
- 5.4 References
- 6. The building area design case study
- 6.1 Introduction
- 6.2 The building area design problem
- 6.3 Problem solution
- 6.4 Modified building area design problem
- 6.5 Fixed room height area design problem
- 6.6 Evaluative questions
- 6.7 References
- 7. The open cargo shipping box case study
- 7.1 Problem statement and general solution
- 7.2 Evaluative questions
- 7.3 References
- 8. Metal casting cylindrical side riser case study
- 8.1 Introduction
- 8.2 Problem formulation and general solution
- 8.3 Cylindrical side riser example
- 8.4 Evaluative questions
- 8.5 References
- 9. Inventory model case study
- 9.1 Problem statement and general solution
- 9.2 Inventory example problem
- 9.3 Evaluative questions
- 9.4 References
- 10. Process furnace design case study
- 10.1 Problem statement and solution
- 10.2 Conclusions
- 10.3 Evaluative questions
- 10.4 References
- 11. The gas transmission pipeline case study
- 11.1 Problem statement and solution
- 11.2 Evaluative questions
- 11.3 References
- 12. Material removal/metal cutting economics case study
- 12.1 Introduction
- 12.2 Problem formulation
- 12.3 Evaluative questions
- 12.4 References
- 13. Construction building sector cost minimization case study
- 13.1 Introduction
- 13.2 Model development
- 13.3 Model results and validation
- 13.4 Conclusions
- 13.5 Evaluative questions
- 13.6 References
- Part III. Geometric programming profit maximization applications with zero degrees of difficulty
- 14. Production function profit maximization case study
- 14.1 Profit maximization with geometric programming
- 14.2 Profit maximization of the production function case study
- 14.3 Evaluative questions
- 14.4 References
- 15. Product mix profit maximization case study
- 15.1 Profit maximization using the Cobb-Douglas production function
- 15.2 Evaluative questions
- 15.3 References
- 16. Chemical plant product profitability case study
- 16.1 Model formulation
- 16.2 Primal and dual solutions
- 16.3 Evaluative questions
- 16.4 References
- Part IV. Geometric programming applications with positive degrees of difficulty
- 17. Journal bearing design case study
- 17.1 Issues with positive degrees of difficulty problems
- 17.2 Journal bearing case study
- 17.3 Primal and dual formulation of journal bearing design
- 17.4 Dimensional analysis technique for additional equation
- 17.5 Evaluative questions
- 17.6 References
- 18. Multistory building design with a variable number of floors case study
- 18.1 Introduction
- 18.2 Problem formulation
- 18.3 Evaluative questions
- 18.4 References
- 19. Metal casting cylindrical side riser with hemispherical top design case study
- 19.1 Introduction
- 19.2 Problem formulation
- 19.3 Dimensional analysis technique for additional two equations
- 19.4 Evaluative questions
- 19.5 References
- 20. Liquefied petroleum gas (LPG) cylinders case study
- 20.1 Introduction
- 20.2 Problem formulation
- 20.3 Dimensional analysis technique for additional equation
- 20.4 Evaluative questions
- 20.5 References
- 21. Material removal/metal cutting economics with two constraints case study
- 21.1 Introduction
- 21.2 Problem formulation
- 21.3 Problem solution
- 21.4 Example problem
- 21.5 Evaluative questions
- 21.6 References
- 22. The open cargo shipping box with skids case study
- 22.1 Introduction
- 22.2 Primal and dual problem formulation
- 22.3 Constrained derivative approach
- 22.4 Dimensional analysis approach for additional equation
- 22.5 Condensation of terms approach
- 22.6 Evaluative questions
- 22.7 References
- 23. Profit maximization considering decreasing cost functions of inventory policy case study
- 23.1 Introduction
- 23.2 Model formulation
- 23.3 Inventory example problem with scaling constants for price and cost
- 23.4 Transformed dual approach
- 23.5 Evaluative questions
- 23.6 References
- Part V. Summary, future directions, theses and dissertations on geometric programming
- 24. Summary and future directions
- 24.1 Summary
- 24.2 Future directions
- 24.3 Development of new design relationships
- 25. Theses and dissertations on geometric programming
- 25.1 Introduction
- 25.2 Lists of M.S. theses and Ph.D. dissertations
- Author's biography
- Index.