Question

In: Statistics and Probability

Simulation with Arena Five identical machines operate independently in a small shop. Each machine is up...

Simulation with Arena

Five identical machines operate independently in a small shop. Each machine is up (that is, works) for between 7 and 10 hours (uniformly distributed) and then breaks down. There are two repair technicians available, and it takes one technician between 1 and 4 hours (uniformly distributed) to fi x 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 fi rst available technician. A technician works on a broken machine until it is fi xed, 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; put your results in a Text box in your 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. (HINT: Think of the machines as “customers” and the repair technicians as “servers” and note that there are always fi ve machines fl oating around in the model and they never leave.)

Solutions

Expert Solution

Answer:

  • Add a 2d machine to which all the parts pass right away. For the second one machine processing instances are impartial from the primary gadget. Gather all the facts plus time within the queue, the period of the queue and the second one machine utilization.
  • Immediately after this take a consistent inspection to hold alongside and May has a seventy five% of high-quality risk.
  • Queue is possible for most effective unmarried inspector and it's miles FIFO that means first in first out.
  • All elements exit the machine without understanding whether or not they pass or fail.
  • Similarly make a be counted of all positive and the fail wide variety and collect facts on the time in queue, the period of the queue and the second one machine usage.
  • You can use plots to tune the queue length and positioned all of the variety busy in plot. Run the simulation for longer than the standard.
  • Suppose those elements that fail in inspection are send returned and re used once more in preference to leaving and feature the identical possibility of leaving. Run this model below the same circumstance.
  • Of route now there is no need to matter the component who fails or succeed, because they all sooner or later skip.

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