replacement rods  

I've not seen that light up...
I've not seen that light up close but my assumption is the rods just drop into holes in the disk parts and there is a clear ring on the rod that keeps them from dropping through?
If nobody points to exact spares for this light, you know glass rods are easy to come buy in various sizes (simple web search confirms that). Ideally though, you want the same type of glass and finish on the ends. I would look locally so someone can compare exactly to what you have. Call around for glass artist (lampwork maybe), manufactures, etc., that might work with this kind of glass, cut and finish the ends as you need, etc. I'm sure you'll come up with a source for a couple rods if you near any reasonably sized city.
How did they get broken? Poor packing? (again my assumption is that the rods are easily removable and gathered together for shipping. I can't imagine shipping that as it's assembled.)

It is possible the pieces can be
successfully glued if the breaks are clean. Hxtal is probably the best choice for this, but it is expensive.
Otherwise, yes, I'd contact a restorer that specializes in glass or a glass blower that does custom work.
http://www.hxtal.com/