INE$4011$ System Simulation

Project #$1$

Model the following two systems separately using ARENA software. Run the systems as required and generate the output. Present the output with proper comments and interpretations and submit both models constructions with your explanations supporting with screen shots, output and comments as separate reports before the deadline.

Case #$1$

Parts arrive at a single machine system according to an exponential interarrival distribution with mean $20$ minutes; the fi rst part arrives at time $0.$ Upon arrival, the parts are processed at a machine. The processing$-$time distribution is TRIA$(11,16,18)$ minutes.

The parts are inspected and for each part there is a $0\mathrm{.}24$ probability that it will need to be sent back to the same machine to be reprocessed $($same processing$-$time distribution but a fresh draw from it$,$ and all send$-$back decisions are independent of each other$).$

There's no limit on how many times a given part might have to go through the machine for processing$/$reprocessing$.$ Run the simulation for a single replication of length $20,000$ minutes to observe the average and maximum number of times a part is processed, the average number of parts in the machine queue, and the average part cycle time $($time from a part's entry to the system to its exit after however many passes through the machine system are required$).$ Add an appropriate Resource animation.

Case #$2$

Items arrive from an inventory$-$picking system according to an exponential interarrival distribution with mean $1\mathrm{.}1($all times are in minutes$),$ with the fi rst arrival at time $0.$

Upon arrival, the items are packed by one of four identical packers, with a single queue "feeding" all four packers. The packing time is TRIA$(2\mathrm{.}75,3\mathrm{.}3,4\mathrm{.}0).$ Packed boxes are then separated by type $($each box has an independent probability of $0\mathrm{.}2$ of being international, and the rest are domestic$),$ and sent to shipping. There is a single shipper for international packages and two shippers for domestic packages with a single queue feeding the two domestic shippers. The international shipping time is TRIA$(2\mathrm{.}2,3\mathrm{.}3,4\mathrm{.}8),$ and the domestic shipping time is TRIA $(1\mathrm{.}7,2\mathrm{.}0,2\mathrm{.}7.$ This packing system works three $8-$hour shifts, $5$ days a week. All the packers and shippers are given a $15-$minute break $2$ hours into their shift, a $30-$minute lunch break $4$ hours into their shift, and a second $15-$minute break $6$ hours into their shift; use the Wait Schedule Rule. Run the simulation for a single replication of $2$ weeks $(10$ working days$)$ to determine the average and maximum number of items or boxes in each of the three queues $($put a text box in your model reporting these output values$).$ Animate your model, including a Resource animation, and a change in the appearance of entities after they're packed into a box.