Hmm. I remember the first time I tried to siege a khergit-held castle. Much fun, and also a pain if it's your first time. Perhaps I shouldn't have felt pleased as well as horrified to see so many arrows hurdling down toward my infantry.
So I spread my rhodock infantry line thin and kept them far from the walls, and waited. I waited for about fifteen minutes before I decided they must have invisible mules floating over the walls and supplying the archers and skirmishers with an infinite supply of shot.
I had about twenty rhodock sergeants on me at the time though, and I'm not sure why there's a popular opinion going around that the rhodocks aren't worth their weight in custard, because those sergeants took care of them pretty quickly.
I miss those sergeants, I lost most of them in the east, before Swadia declared war on us.