Been there done this.
You will need to build a motorized arbor that will hold several slitting saws that will bolt to your tool post. The motorized arbor will be behind the brass rod. Machine up some spacers and space the slitting saws to the length that you need. The tailstock holds a sealed bearing that has a .250" ID (support).
You feed the brass rod thru your head stock, chuck and into the bearing on the tailstock. Start your lathe and feed your toolpost into the brass rod cutting several pieces at once. If you set things up right the part left in the bearing will aso be the correct length.
Stop the lathe, feed more stock thru and repeat.
I wish I had some pictures to show you but that was a long time ago. We made about 75,000 pieces with this setup. Good luck.
If it's not nailed down, it's mine.
If I can pry it loose, it's not nailed down.