Making match sticks

I need to make hundreds or thousands of matchsticks.  They are about an inch and a half long and 1/8"  or possibly a little less square.  They are for inserting into the holes of wooden beads that represent "atoms" of several student sets of molecular models.  They need to be reasonably good tolerance with respect to length (+/- 1/16" in length).  The holes in the beads are 1/8 diameter and are tapered.  I'm hoping that the square corners of the sticks will compress enough to fit snugly (hence "a little less than 1/8" square)  in the holes and be disassembled.  If I make a ton of them they can be discarded after being reused several times.  

Admittedly I haven't figured out the exact dimension, but I can fiddle with that after I have figured out how to produce them.

My first thought is to cut kerfs the length of  some 1x lumber leaving 1/8" "teeth". Then cross cut the 1x into inch and half pieces.  I then will put some masking tape over the teeth and resaw them off the face of the cross cut piece.  The match sticks will be stuck to the tape and ready to use.   Resawing these tiny pieces will be a challenge on the table saw so I was wondering if there were some jig that I could fabricate or maybe someone might have a suggestion for some other method.

What would be the safest and most efficient way to get the match sticks in a tight enough tolerance?