What you're essentially asking is, "how will industry work in an anarchist society?"
It's a very, very wide question, methinks - and a lot of the answer is going to depend on what it is you actually define as an anarchist society.
If you were to ask me how aspirin will be made in an anarchist society, the answer is simple - the same way we make aspirin now. But if you were to ask me how the raw materials needed for aspirin manufacture will be sourced in an anarchist society... well, now things start getting more interesting.
Aspirin is easy - thermo-nuclear weapons is difficult.