Question $1$: Arena Basic Simulation Modeling $(30\backslash \%)$

A manufacturing company wants to improve its production line efficiency. They are considering using Arena Simulation software to model and analyze their current process, which consists of four main stages: Assembly, Inspection, Rework, Packaging. Each stage has different processing times and resources.

The details are as follows:

i$)$ Assembly: There are $3$ workstations, each with a processing time that follows a normal distribution with a mean of $15$ minutes and a standard deviation of $2$ minutes.

Assembly workers take a lunch break from $12$:$00$ PM to $1$:$00$PM$,$ during which time the assembly process is paused.

ii$)$ Inspection: There are $2$ inspection stations, and each inspection takes exactly $10$ minutes. $\backslash (\backslash$mathbf$\{98\backslash \%\}\backslash )$ of the items pass the inspection, while $\backslash (2\backslash \%\backslash )$ are sent to a rework machine. If an item goes to the rework machine twice, it will be scrapped.

iii$)$ Rework: There is $1$ rework machine that processes items with a triangular distribution, with a minimum time of $5$ minutes, a mode of $10$ minutes, and a maximum time of $45$ minutes.

After rework the item goes to inspection.

iv$)$ Packaging: There is $1$ packaging machine that processes items with an exponential distribution, with an average time of $8$ minutes.

Additionally, the arrival rate of raw materials into the system follows a Poisson process with an average of $10$ items per hour, varying every $2$ hours throughout an $8-$hour workday as follows:

STEPS

a$)$ ANIMATION: Using the pictures of the following Arena blocks provided $($Create$,$ Process, Assign, Decide, Dispose, Schedule, Failure, and others$)$ construct a flowchart of the manufacturing process on paper $($draw the ANIMATION$).$ Ensure that each stage and its corresponding parameters are clearly indicated.

b$)$ MODULES: Write a detailed description of how each Arena block will be used in the simulation model to represent the manufacturing process, including the rework process and the scrapping condition.

c$)$ Explain how the lunch break for the assembly workers will be incorporated into the model using the Schedule block.

d$)$ RUN time is $8$:$00$am$-\backslash (\backslash$$: $00\backslash$mathrm$\{$pm$\}\backslash ),$ where to include this info and how $?$

d$)$ Discuss any assumpti$$tis you made while modeling the system on paper and how they might impact the accuracy of the simulation when implemented in Arena software.