I am looking for information about a book I read years ago.  The plotline was basically set in the future where irrevocably stunted and poisoned humans were mining the past with a time machine(called The Gate).  They were snatching healthy humans from certain disaster and storing them in some sory of suspended state untill they could load them onto the last colony spaceship.  Throughout the whole book, the Big Computer(BC for short) was guiding and advising the heroine to do things. 

I remember that the cover of the book had a woman walking on it with part humans in the background(they were part of their chairs)...

Can anyone help me?

I'm pretty sure this is Millennium by John Varley (based on his short story Air Raid).

Good book, but was made into a horrible movie of the same name, starring Cheryl Ladd and Kris Kristofferson.

Thanks!  That IS IT!  I never knew that they made a movie of it, but I do agree that the book was pretty good!  Thanks again!

If you liked Millennium, you might also like one of John Varley's most recent books - Mammoth

The story opens with the discovery of an intact frozen mammoth in northern Canada. Further digging next to the mammoth reveals the mummified 12,000 year old body of a man wearing a wristwatch. What follows is a time travel adventure conceptualized in a fairly conventional manner, with a gentle romance thrown in. Varley gets a chance to ponder on the nature of time, of paradox, and the meaning of life, but doesn't dwell too much on those. The characters themselves don't really understand how the time machine works, just that it does. Mammoth is a fun story, not difficult to puzzle out, with a few plot twists thrown in to keep things interesting.

I have to recommend The Golden Globe.  It's easily in my Top 10 favorite novels!

I never knew he wrote a novel of Millennium.  I'll have to put it on my list.  I loved the short story "Air Raid".  But yeah, the movie had potential but was vastly disappointing.