Question: SimQuick must be used for this problem Management wants to study the performance at a local Dairy King (DK) restaurant during its second shift, 11:00
SimQuick must be used for this problem
Management wants to study the performance at a local Dairy King (DK) restaurant during its second shift, 11:00 am to 5:00 pm. The two main areas under study are: drive-thru and dine-in. The process at the drive-thru works as follows. Cars arrive and line up to place an order. It has been observed that the time between car arrivals is described based on the following table:
| Time | Time between Arrivals at the drive-thru | Time | Time between Arrivals at the drive-thru |
| 11am - 12pm | Exp(2min) | 2pm - 3pm | Exp(5min) |
| 12pm - 2 pm | Exp(4min) | 3pm - 5pm | Exp(4min) |
There is only room for eight cars to line up. The time to place an order, based on historical data, is summarized in the following table.
| Interval (minutes) | Frequency | Interval (minutes) | Frequency |
| 1.0 | 30 | 2.5-3.5 | 84 |
| 1.5 | 60 | 3.5-4.5 | 39 |
| 1.5-2.5 | 72 | 4.5-5.5 | 15 |
Cars then move forward to a single window, at which they pay and pick up their order. Two cars can fit between a car placing an order and another car at the pay/pick-up window. The amount of time a car sits at the pay/pick-up window can be approximated by an exponential distribution with a mean of 2.5 minutes.
The dine-in process works as follows. The time between the arrivals of walk-ins can be approximated by an exponential distribution with a mean of 3.5 minutes. The number of customers per arrival, based on historical data, is provided below.
| Customers per arrival | Frequency | Customers per arrival | Frequency |
| 1.0 | 80 | 4.0 | 80 |
| 2.0 | 90 | 6.0 | 30 |
| 3.0 | 110 | 7.0 | 10 |
The inside line can hold about 10 people. DK currently operates with 2 cashiers. The amount of time for a cashier to serve a single customer can be approximated by a normal distribution with a mean of 3.5 minutes and a variance of 0.04 minutes. Then, customers will find a table to eat. Assume that there is unlimited capacity.
Build a SimQuick model of the drive-thru + dine-in that simulates the DK's second shift, perform 200 simulations. Assume that at 11 am there are two cars in line to place an order and four walk-in customers in line to place an order.
On the View Results window, below the simulation report, answer the following questions and show visual of SimQuick:
- Report the overall mean throughput for the drive-thru and dine-in. What do they represent?
- Report the overall mean cycle time on the drive-thru.
- Report the overall mean service level at the drive-thru and dine-in. What do they represent?
- Estimate the number of cars in the order line at 2:00pm. Describe how you computed this value.
- Estimate the number of walk-in customers in the order line at 2:00 pm. Describe how you computed this value.
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