λ = Arrival time μ = Service rate L q = Average number...

This preview shows page 1 - 2 out of 2 pages.

Introduction to Management Homework (Edition 11): Chapter 13, Problem 12 λ = Arrival time μ = Service rate L q = Average number of customers in the waiting line W = Average time a customer will spend in the queue system W q = Average waiting time in the line per customer U = Probability that the server was busy I = internal time Given Data: I= 12 min λ = 4 airplanes per hour μ ൌ 60 12 μ= 5 a) Use the following formula to calculate the average number of planes that are waiting to land: Lq ൌ 𝜆 𝜇ሺ𝜇 െ 𝜆ሻ 4 5ሺ5 െ 4ሻ ൌ 3.2
b) Use the following formula to calculate how long on a plane must wait before it can land: Wq ൌ 𝜆 𝜇ሺ𝜇 െ 𝜆ሻ 4 5ሺ5 െ 4ሻ ൌ 0.80

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture