>I am running the task (Run As) with my own account; the same account when I log on locally.
>That's why it's so weird.
>Do you have other suggestions?
>

I don't think you'll be able to "runas" your own account. Once you logoff, the Scheduler doesn't seem to be able to run things. I've usually set up a separate account for the app to run under or use the administrator account for simplicity. YMMV as to what should work best for you.