Difference between "introduction to" and "introduction of"

What exactly is the difference between "introduction to" and "introduction of"?

For example: should it be "Introduction to the problem" or "Introduction of the problem"?

There are two different meanings here:

(1) the action of introducing something
issues arising from the introduction of new technology

(2) a thing preliminary to something else, especially an explanatory section at the beginning of a book, report, or speech
a good general introduction to the subject is A Social History of England

From oxforddictionaries.com.

I suspect you want meaning (2):

The first paragraph provides an introduction to the problem.

It's an introduction of a problem to the people, therefore:

Let me introduce this problem to our employees.
An introduction of this problem was made to our employees.

But, you can also say

I've been introduced to the problem.
Our employees were introduced to the problem.