A. A computer rejuvenation facility receives systems from the fleet at 24 systems/day (assume this is a Poisson process). It takes the triage function 30 minutes (assumed exponentially distributed) to assess the refurbishment requirements of a system. 40% of the systems are sent to keyboard replacement, where repairs are done by a lone service agent who takes 60 minutes (exponentially distributed) to replace the keyboard. The other 60% are put in the dumpster.
1. Draw the Jackson network.
2. Give R, the routing matrix (you can include the "0" station if you like, your choice)
3. Determine lambda, L, Lq, W, Wq for the keyboard replacement station.
4. What is the distribution of the time between arrivals at the keyboard replacement station?
5. The facility experiences a budget cut, causing the triage processor to slow down because his teeth hurt (his dental insurance got cut!) How slow can the triage agent become before his speed becomes a problem (slows the system down in some way)?
6. What is the total time it takes a typical computer to process through the entire system, assuming it is not junked?
The dumpster holds 10 computers, and is emptied once per day (deterministic). What is the probability it overflows...
7. On a random day?
8. Sometime during a random week?