Statistics: Queueing Problem
Not what you're looking for?
A fast food outlet has an average of 8 cars at the drivethrough during "lunch rush" 11am-1pm. On average, 2 cars per min. arrive at the resaurant parking lot, and consider the drivethrough but 25% of the time, an arriving car does not actually enter the drive-through line (i.e. it "balks"). Assume no car enters the line without completing the drive-through service (i.e. there is no "reneging").
a.) On average, how much time does a car spend at the drive-through?
b.) The current average processing time at the drive through is 3 min. The manager wants to reduce this processing time to 2 min. If the arrival rate, the probability of "balking" and the time in the drive through line remain the same, how many cars would be at the drive-through on average, with the new processing time?
Purchase this Solution
Solution Summary
The processing times of cars in a drive-through are analyzed.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
(a). How much time does a car spend at the drive through?
Assume that there are 8 cars there at one given time during lunch.
The rate of arrival for cars on the parking lot is 2 cars per minute.
Since 25% of those cars that arrive on the parking lot do not enter the drive through, then
The arrival rate not entering the drive ...
Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.