Problem Statement

Develop a Simio model of a Subway ${?}^{}$ restaurant and using the model to analyze the performance of the system during lunch rush. The system works similar to a serial production line with five stages as shown in the figure below $($the highlighted stations involve a human worker$).$

$1$

Customers enter and go to the first stage where they select the size and type of bread, meat, and cheese. The second stage is the oven where sandwiches are toasted $($if ordered by the customer$).$ The customer $($and partially made sandwich$)$ then go to the next stage to add veggies and condiments. Once the sandwich is made, the customer pays at the cash register; the cashier wraps the sandwich and puts it in a bag. Finally, customers go to the drink machine to get their drink and then they leave the system.

Each stage has one server and we will assume infinite queues between stages.

During lunch rush, customers arrive according to a Poisson distribution with a rate of $\frac{32}{h}r($which mean inter$-$arrival times are exponential$).$ Processing times are all triangularly distributed with the following parameters $($minutes$)$:

$\backslash$table$[[$Station$,$Bread & Meat,Oven,Veggies,Cashier,Drink$],[($Min$,$ Mode, Max$),(1,1\mathrm{.}5,2),(0\mathrm{.}5,1,1\mathrm{.}5),(1,1\mathrm{.}5,2),(0\mathrm{.}5,1,1\mathrm{.}5),(0\mathrm{.}5,1,1\mathrm{.}5)$