EGRM $6681-$ Simulation Techniques and Applications

UNIVERSITY OF NEW HAVEN

Mechanicaland Industrial Engineering

Assignment #$3$

February $62024$

Consider a job shop where orders arrive for drilling of certain size on a precut titanium stock. Job orders arrive following a Poisson distribution with a mean rate of $240$ per day $(8-$hour business day$).$

There are two identical drill presses in the shop, which drill the raw stock per the order specifications. There is only one queue for the two drills. Drilling time for a part $($unit$)$ is best approximated by a uniform distribution with a low and high of $2$ and $3$ minutes, respectively. Upon completion of drilling, the part $($or piece$)$ is sent to one of the two buffing machines $($new and old$)$ with the ratio of $3$ to $1.$ There is a separate queue for each buffing machine. The new automated buffing machine is faster and safer with constant buffing time of $30$ seconds. The second manual buffing machine is old and tired with buffing time that is Triangular distributed with the minimum $1$ minute, mode $1\mathrm{.}25$ minutes, and maximum $1\mathrm{.}50$ minutes.

The buffed parts are sent to the packaging section where they are made into packages of $5$ and stacked for order fulfillment per the original order forms.

Design and develop a simulation model of this process using ARENA. Run your model for an $8-$hour shift to estimate the following measures of performance.

All relevant resource utilizations

All relevant entitiy statistics

All relevant queue statistics for each queue in the system