# RESEARCH ARTICLES | RISK + CRYSTAL BALL + ANALYTICS

## Introduction to Monte Carlo Analysis (Part 10 / 13)

In past blogs, I have waxed eloquent about two traditional methods of performing Tolerance Analysis, the Worst Case Analysis and the Root Sum Squares. With the advent of ever-more-powerful processors and the increasing importance engineering organizations place on transfer functions, the next logical step is to use these resources and predict system variation with Monte Carlo Analysis.

## Introduction to Monte Carlo Analysis (Part 10 / 13)

In past blogs, I have waxed eloquent about two traditional methods of performing Tolerance Analysis, the Worst Case Analysis and the Root Sum Squares. With the advent of ever-more-powerful processors and the increasing importance engineering organizations place on transfer functions, the next logical step is to use these resources and predict system variation with Monte Carlo Analysis.

## Probability Distributions in Tolerance Analysis (Part 4 / 13)

With uncertainty and risk lurking around every corner, it is incumbent on us to account for it in our forward business projections, whether those predictions are financially-based or engineering-centric. For the design engineer, he may be expressing dimensional variance in terms of a tolerance around his nominal dimensions. But what does this mean? Does a simple range between upper and lower values accurately describe the variation?

## Probability Distributions in Tolerance Analysis (Part 4 / 13)

With uncertainty and risk lurking around every corner, it is incumbent on us to account for it in our forward business projections, whether those predictions are financially-based or engineering-centric. For the design engineer, he may be expressing dimensional variance in terms of a tolerance around his nominal dimensions. But what does this mean? Does a simple range between upper and lower values accurately describe the variation?

## Algorithms and the New Millennium

Dr David Berlinski (2000) makes the historical observation that two great ideas have most influenced the technological progress of the Western world:

The first is the calculus, the second the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. (Berlinski, p. xv)

Dr Berlinski concludes that:

The great era of mathematical physics is now over. The three-hundred-year effort to represent the material world in mathematical terms has exhausted itself. The understanding that it was to provide is infinitely closer than it was when Isaac Newton wrote in the late seventeenth century, but it is still infinitely far away…. The algorithm has come to occupy a central place in our imagination. It is the second great scientific idea of the West. There is no third. (Berlinski, pp. xv-xvi)

Source: Berlinski, D (2000). The Advent of the Algorithm: The 300-Year Journey from an Idea to the Computer. San Diego, CA: Harcourt.

Related Posts: Enter the Algorithm

• 11 June 2010
• Author: mckibbinusa
• Number of views: 2505
• Comments: 0