Priority-Discipline Queueing Models Southeast Airlines is a small commuter airline serving primarily the state of Florida. Their ticket counter at a certain airport is staffed by a single ticket agent. There are two separate lines—one for first-class passengers and one for coach-class passengers. When the ticket agent is ready for another customer, the next first-class passenger is served if there are any in line. If not, the next coach-class passenger is served. Service
Priority-Discipline Queueing Models Southeast Airlines is a small commuter airline serving primarily the state of Florida. Their ticket counter at a certain airport is staffed by a single ticket agent. There are two separate lines—one for first-class passengers and one for coach-class passengers. When the ticket agent is ready for another customer, the next first-class passenger is served if there are any in line. If not, the next coach-class passenger is served. Service times have an exponential distribution with a mean of 3 minutes for both types of customers. During the 12 hours per day that the ticket counter is open, passengers arrive randomly at a mean rate of 2 per hour for first-class passengers and 10 per hour for coach-class passengers.
A. What kind of queueing model fits this queueing system?
B. Find the main measures of performance—L, Lq, W, and Wq—for both first-class passengers and coach-class -passengers.
C. What is the expected waiting time before service begins for first-class customers as a fraction of this waiting time for coach-class customers?
D. Determine the average number of hours per day that the ticket agent is busy.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
