Hi thelc,
just a further thought wrt to prex's reply. If money is no consideration, you could assume that the dished end is a flat plate, and design the stiffening around that assumption. This should be a conservative approch for the spherical (crown) section. One thing you should also consider might be buckling of the knuckle region, depending on how highly stressed it is. Also, are there any high inwardly acting radial loads on the nozzles, these may also have an effect on the "effective" vacuum that will collapse the head. I'd guess that the most accurate way to solve your problem would be to make use of FEA, that way you could model in all pressures, loads and the shape of the head and see what happens under the vacuum load. Doing an FEA model and including stiffeners and such will be pretty costly, though. If you are wanting to form another head and attach it to the outside of the existing one, after the forming, site work to confirm dimensions of the existing head, calculations, site work to attach the new head, etc, it may be cheaper to remove the old head and replace it with one of the correct thickness for your application.
John