The local Quick Burger fast food restaurant has a drive-through window. Customers in cars arrive at the window at the rate of 10 per hour (Poisson distributed). It requires anaverage of four minutes (exponentially distributed) to takeand fill an order. The restaurant chain has a service goal ofan average waiting time of three minutes.a. Will the current system meet the restaurant’s service goal?b. If the restaurant is not meeting its service goal, it can adda second drive-in window that will reduce the servicetime per customer to 2.5 minutes. Will the additionalwindow enable the restaurant to meet its service goal?c. During the two-hour lunch period the arrival rate ofdrive-in customers increases to 20 per hour. Will thetwo-window system be able to achieve the restaurant’sservice goal during the rush period?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The local Quick Burger fast food restaurant has a drive-
through window. Customers in cars arrive at the window at
the rate of 10 per hour (Poisson distributed). It requires an
average of four minutes (exponentially distributed) to take
and fill an order. The restaurant chain has a service goal of
an average waiting time of three minutes.
a. Will the current system meet the restaurant’s service goal?
b. If the restaurant is not meeting its service goal, it can add
a second drive-in window that will reduce the service
time per customer to 2.5 minutes. Will the additional
window enable the restaurant to meet its service goal?
c. During the two-hour lunch period the arrival rate of
drive-in customers increases to 20 per hour. Will the
two-window system be able to achieve the restaurant’s
service goal during the rush period?
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