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Consortium for Mathematics and its Applications

Product ID: 99737
Supplementary Print
Undergraduate

Geometric Programming (UMAP)

Author: Robert E.D. Woosley


This module presents a simple method of optimization that: 1) tells how much an engineering design would cost before knowing what it looks like; 2) tells the values of the design variables; 3) allows for calculation of the effects of price changes in materials, inflationary efects, or changes in requirements without solving the problem again; 4) once an engineering design with the method has been solved, it never has to be done again; and 5) doesn't need calculus to do the optimization.

Table of Contents:

INTRODUCTION

A SAMPLE PROBLEM

WOOLSEY'S FOUR RULES FOR GEOMETRIC PROGRAMMING

WHEN DOES ALL THIS WORK?

SENSITIVITY ANALYSIS

PLASTIC BATCH REACTOR-MIXER PROBLEM

SHELL-AND-TUBE HEAT EXCHANGER PROBLEM

HEAT REJECTION SYSTEM OF A STEAM POWER PLANT

SENSITIVITY ANALYSIS OF THE STEAM POWER PLANT PROBLEM

WASTE TREATMENT PLANT PROBLEM

WASTE TREATMENT PLANT SENSITIVITY PROBLEMS

SOLUTIONS TO THE PROBLEMS

REFERENCES

ABOUT THE AUTHOR

©1996 by COMAP, Inc.
UMAP Module
20 pages

Mathematics Topics:

Geometry , Calculus , Operations Research , Optimization

Application Areas:

Engineering & Construction , Design

Prerequisites:

Differential calculus, including Lagrange multipliers

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