Example $4$: A fast$-$food restaurant drive$-$thru

Management wants to study the drive$-$thrus at a number of Burger Queen $($BQ$)$ restaurantsduring the peak hours of $11$

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$.$ The process works as follows. Cars arrive and line upto place an order. It$$s been observed that the time between car arrivals can be approximated byan exponential distribution with a mean of $2\mathrm{.}3$ minutes. There is only room for five cars to lineup. The time to place an order is also roughly exponentially distributed and takes a mean of $2$minutes per car. Cars then move forward to a single window, at which they pay and pick uptheir order. Two cars can fit between a car placing an order and another car at the pay$/$pick$-$upwindow. The amount of time a car sits at the pay$/$pick$-$up window can be approximated by anexponential distribution with a mean of $2\mathrm{.}2$ minutes.

Exercise $4$:

$$For each of the following parts, perform $30$ simulations. Assume that at $11$

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$.$there is typically one car in line to place an order and one car in line to pay$/$pick up their order$($so set your $$Initial # objects$$ for your Buffers accordingly$).$ For a process flow map of this$$process$,$ see the left side of the process flow map for Example $10.$a$.$

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Build a SimQuick model of the drive$-$thru, as described. Report the overall meanthroughput $($i$.$e$.,$ the overall mean final inventory in Served Cars$).$ Also report the overallmean cycle time for the whole process. This number is the mean amount of time anobject spends between entering the Buffer called Outside Order Line and leaving theWork Station called Pay$/$Pickup$.$ It can be obtained by adding the overall mean cy