如何在PHP会话期间更改会话超时?

In certain circumstances the time before a client's session will expire needs to be adjusted; the adjustment to the period of time required for the session to timeout must be applied during the session. I have tried the following without success:

ini_set('session.gc_maxlifetime', 3);
session_set_cookie_params(3);

After waiting several seconds the session is clearly not expiring. I'm only attempting to test a short timeout as I'm not interested in ending a session immediately.

How do I adjust the session to timeout at a different period of time without destroying the current session?

Test Case One: a client often leaves his computer for an hour to attend a meeting and returns to finish adding content to find out that the session expired and his work has been lost. However he insists that he authenticate every morning.

Test Case Two: a second user insists that if their computer is idle for longer than two minutes that they be signed out.