Tutorial:
2D Sensitivity Analysis,
for 15.053
1
2-Dimensional Geometry and Sensitivity Analysis.
An Online Tutorial
It is often the case that data is not known accurately.
One of the
great strengths of modeling is the opportunity to rerun the model
with different data or with different assumptions.
When one checks the sensitivity of a model to changes in the
data, it is usually referred to as “sensitivity analysis.”
Sensitivity
analysis is widely used throughout all of Management Science
and Operations Research, and is common in other fields as well.
Normally, when one wants to check the sensitivity of a model to
changes in a single datum (singular of data), one reruns the
model with the old datum replaced by the new one.
In linear
programming models, the number of variables (millions of
variables), that one could not expect to check the sensitivity to
very much data.
But one would be wrong!

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Tutorial:
2D Sensitivity Analysis,
for 15.053
2
On Sensitivity Analysis in Linear Programming
•
When the simplex algorithm solves a linear program, it simultaneously
generates detailed sensitivity analysis for changes in the RHS
coefficients and changes in the cost coefficients.
The purpose of this
tutorial is to describe this type of sensitivity analysis in the case of
linear programs with two variables.
•
We first review David’s Tool Company, which we will use as a running
example.
Cleaver, an
MIT
Beaver
If you think that this tutorial is
valuable to you, please send me two
shekels, one for each variable.
Just joking.