Accepting suggestions from math gurus!

[WilliamK]

Hello all.

I will be developing a rather complex system soon. There's a "part" of this system I want to "apply" something interesting to improve it (math!), so I'm taking suggestions.

Here's what I have: this system receives many requests and after receiving the request it redirects the request to another system. So it may receive a request to access module A. Then it access module A and retrieve the information and then send the information to whom requested.

What I want: I want my system to adapt depending on the number of requests. Consider this:

After one day, my system receives 10 requests to module A, 15 to module B, 33 to module Z. I want it to adapt to its requests, so it will be accessing the modules more accessed beforehand and caching the results. It would depend on some statistical processing, and that's what I'm looking for.

I'm want some applied math here.

I'm accepting any suggestions and will be replying to any questions about the system.

I should make clear I'm not that knowlegeable when talking about pure math. So I'm asking for help.

Thanks a lot in advance.

William