Five identical machines operate independently in a small shop. Each machine is up (i.e. works) for between 7 and 8.5 hours (exponentially) and then breaks down. There are two repair technicians available, and it takes one technician between 2.5 hours (exponentially distributed) to fix a machine; only one technician can be assigned to work on a broken machine even if the other technician is idle. If more than two machines are broken down at a given time, they form a (virtual) FIFO ‘repair’ queue and wait for the first available technician. A technician works on a broken machine until it is fixed, regardless of what else is happening in the system. All uptimes and downtimes are independent of each other. Starting with all machines at the beginning of an ‘up’ time, simulate this for 160 hours and observe the time-average number of machines that are down (in repair or in queue for repair) as well as the utilization of the repair technicians as a group.   Show your system design and provide comments about its performance and parameters that you established in the model.

Animate the machines when they’re either undergoing repair or in queue for a repair technician, and plot the total number of machines down (in repair plus in queue) over time.

Please make the rate diagram for this.

As you can see, two changes were made:

!) Each machine is up for an average of 8.5 hours (exponentially distributed)

2) The service time is on average 2.5 hours (exponentially distributed)