Calculus Optimization in Information Technology (UMAP)

This module considers three optimization problems in the design of computer hardware and software and solves them by using diferential calculus.

Table of Contents:

INTRODUCTION

MAXIMIZING STORAGE ON A DESK
The Setting
The Problem
The Model
The Optimum, According to the Model
Comparison with Reality

OPTIMIZING DYNAMIC STORAGE
The Setting
The Problem
The Model
The Optimum, According to the Model
Further Modeling and Analysis
Comparison with Reality

MAXIMIZING THROUGHOUT ON A NOISY CHANNEL
The Setting
The Problem
The Model
The Optimum, According to the Model
Comparison with Reality
Sensitivity Analysis
Comparison with Another Protocol

SOLUTIONS TO THE EXERCISES

APPENDIX: TECHNICAL DETAILS
Time vs. Space
Disk Storage Technology in 1992
The Arithmetic of Disk Storage
Details of a Disk Track
Error Correction

REFERENCES

ACKNOWLEDGMENTS

ABOUT THE AUTHOR