Let's say I have 2 different types of machines responsible for 2 different duties.
I have the PRODUCTION_MACHINES that EACH are able to produce a single unit of goods within 2 hours.
Then I have TRANSPORTER_MACHINES which are EACH able to collect and package away a single unit of goods from the production line at 95 seconds per TRANSPORTER_MACHINE.
Assuming there are 5 PRODUCTION_MACHINES working, and they are operated at different starting times, how many TRANSPORTER_MACHINES do you need in order to MINIMIZE the IDLE_TIME incurred in the production process ?
(Whereby "IDLE_TIME" is defined as the time expended by EITHER the PRODUCTION_MACHINE or a TRANSPORTER_MACHINE waiting to have its good collected or produced.
HINT: Too many TRANSPORTER_MACHINES will add to the idle time as there are prone to be extra TRANSPORTER_MACHINES idly waiting for struggling PRODUCTION_UNITS to produce quickly enough to keep up with DEMAND.
... and vice-versa, too few TRANSPORTER_UNITS will also increase the idle time, this time for the PRODUCTION_MACHINES as some of them will have to wait for the struggling TRANSPORTER_MACHINES to keep up with their SUPPLY.)
Thank you very much !