Swifties (for the uncultured - that’s what we call Taylor Swift fans) arrive at SoFi Stadium at a rate of λ1 = 13 Swifties per minute, and they are processed through security at a rate of λ2 = 7 Swifties per minute. Describe how I might figure out what the mean time between arrivals is, then find it. (Yes, you’ll need to pick a distribution here, and there is a right choice.) Describe how I might find the variance of the security processing time, then find it. In queueing theory (yes, that’s a real field of study), the utilization of a processing station (like the security here) is given by ρ = λ1/λ2 = 13/7 . Describe what it means, in the practical sense, that the utilization is greater than 1. To get Taylor’s attention, I’m thinking about running a regression analysis for her. Describe why using the “typical” linear regression and normal distribution theory to predict the time spent waiting in line is probably a bad idea here, even if I have a good set of predictor variables.
Swifties (for the uncultured - that’s what we call Taylor Swift fans) arrive at
SoFi Stadium at a rate of λ1 = 13 Swifties per minute, and they are processed
through security at a rate of λ2 = 7 Swifties per minute.
Describe how I might figure out what the mean time between arrivals is,
then find it. (Yes, you’ll need to pick a distribution here, and there is a
right choice.)
Describe how I might find the variance of the security processing time,
then find it.
In queueing theory (yes, that’s a real field of study), the utilization of
a processing station (like the security here) is given by ρ = λ1/λ2 = 13/7 .
Describe what it means, in the practical sense, that the utilization is
greater than 1.
To get Taylor’s attention, I’m thinking about running a regression analysis
for her. Describe why using the “typical” linear regression and normal
distribution theory to predict the time spent waiting in line is probably a
bad idea here, even if I have a good set of predictor variables.
Step by step
Solved in 3 steps with 9 images
