Multiple Threads/Tasks to run parallely using the shell script

Scenario:
I have two PCs (named as A & B) which would send some traps to my third PC (named as C).

In PC C, I have to write a shell script such that it should accept the datas from both the PC-A & B parallely.

So my question is, is it possible to have two different child threads/tasks (created using shell script) runs parallely? i.e., parent thread should initiate the two child threads/tasks.

Your information would help me a lot to write a shell script.

have a look here Bash Reference Manual

Thanks a lot for sharing the manual.