Management wants to study the drive-thrus at a number of Burger Queen (BQ) resta

Question

Management wants to study the drive-thrus at a number of Burger Queen (BQ) restaurants during the peak hours of 11 A.M. to 2 P.M. The process works as follows. Cars arrive and line up to place an order. It’s been observed that the time between car arrivals can be approximated by an exponential distribution with a mean of 2.3 minutes. There is only room for five cars to line up. 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 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 2.2 minutes

For each of the following parts, perform 30 simulations. Assume that at 11 A.M. 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 chart below.

Build a SimQuick model of the drive-thru, as described. Report the overall mean throughput (i.e., the overall mean final inventory in Served Cars). Also report the overall mean cycle time for the whole process. This number is the mean amount of time an object spends between entering the Buffer called Outside Order Line and leaving the Work Station called Pay/Pickup. It can be obtained by adding the overall mean cycle time through the two Buffers, the mean working time at the two Work Stations (obtained from their input distributions), and the overall mean cycle time through the internal buffer at the Work Station called Car Order. Also report the overall mean service level of the customers arriving at the process.

The BQ design team is thinking about installing a faster process for making hamburgers. They believe this could reduce the time for Pay/Pickup to a mean of 1.5 minutes, again exponentially distributed. What effect would this have on the numbers reported in part a?

Explanation / Answer

this will have following impact :

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