$5-10$ A small warehouse provides work$-$in$-$process storage for a manufacturing facility

that produces four different part types. The part$-$type percentages are:

Parts arrive with TRIA $)$ interarrival times $($all times are in minutes$)$; the

first part arrives at time $0.$ Two cranes store and retrieve parts with a travel time of

UNIF$(1\mathrm{.}25,2\mathrm{.}9),$ each way. Requests for part removal $($think of them as customers$)$

arrive with TRIA$(1\mathrm{.}25,2\mathrm{.}0,2\mathrm{.}8)$ interarrival times, independently of the arrival process

for the parts, and the first request arrives at time $0.$ If no part is available, the request

is not filled. All part requests are given priority over part storages in terms of getting

the use of a crane.

For part arrivals, increment the total number of parts in inventory after the part is stored.

For part requests, decrement the total number of parts in inventory as soon as you

know there is a part to retrieve.

Run your model for a single replication of length $5,000$ minutes starting with four of

each part type in the warehouse. Collect statistics on the crane utilization, the average

number of each part type in the warehouse, and the number of unfilled requests due

to having no parts of the requested type.

HINTS: Use index variables for part inventory and per$-$part cost. $($Note that you can use the

"Other" option in the Assign module when assigning to index variables, or you

could select the Type in the Assign module to be Variable Array $[1$D$].)$ Use the Discrete

distribution to determine the part type and the Statistic data module $($with Type selected

as Time$-$Persistent$)$ to collect some of the required statistics. CAN YOU PLEASE SOLVE IT THROUGH THE ARENA SIMULATION PROGRAM?