A few tangents you might explore:
It's hard to overstate the influence of Norbert Wiener's Cybernetics (and popular writing like The Human use of Human Beings) on subsequent management theorists.
SHOT's very own David Allen Grier has written quite a lot on the labor processes used in scientific computing before and during the introduction of automatic computing machinery. These are not directly related to "automation" per se (which term was coined circa 1940) but I found them very helpful in providing historical context and illustrating the basic continuity of some tendencies in the technical division of labor from the pre- to post- automatic computing eras.
Finally, SHOT's own Nathan Ensmenger recently published The Computer Boys Take Over, an invaluable history of some of the changes in occupational structure engendered by "computerization". It's particularly good on gender.