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.

There are two models in Assignment $1.$

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You should upload $.$doe files. Name of the files should be: studentnumber$\_1$ and studentnumber$\_2.$

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Put a text box in the models and report what is asked $($there should be $4$ entries for the first, $6$ entries for the second model in your text boxes$).$

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If your model gives an error for any reason, you will get the minimum point. Make sure that you do not encounter with any kind of errors.

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There are $4$ things i will be looking: A complete model, run it to see if there are any errors, animations and results in the textbox $($i wont be going thorugh the reports, you should do it$).$

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Hint for the first model: In order to count number of entities going into a process, assign an attribute to that entity $$attribute$1,$ and its new value should be $$attribute$1+1.$ Then, whenever you want to record that number, use a record button with type Expression, and value attribute$1($or whatever name you gave to the attribute$).$