What can I do to increase the performance/speed of my PHP scripts without installing software on my servers?
The ones I can think of...
Loop invariants are always a good one to watch.
Write E_STRICT and E_NOTICE compliant code, particularly if you are logging errors.
Avoid the @ operator.
Absolute paths for requires and includes.
Use strpos, str_replace etc. instead of regular expressions whenever possible.
Then there's a bunch of other methods that might work, but probably wont give you much benefit.