Module 7 Chapter Questions

Module 7 Chapter Questions - Chapter 15 problems: Problem...

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Problem 19 a. For the system to handle the arrivals, we must have k μ> λ, where k is the number of channels. With μ=2, and λ=5.4, we must have at least k =3 channels. To see if 3 screening channels are adequate, we must compute L q . Using the table values of P 0 , c μ = 2.7, k = 3, and p0 = 0.02525 (halfway between c μ = 2.6 and c μ = 2.8) L q = (λ / μ) k λ μ P 0 = (2.7)3(5.4)(2) (0.02525) = 7.45 (k-1)!(μ- λ) 2 2!(6-5.4) 2 Having three stations open satisfies the managers goal to limit the average number of passengers in the waiting line to be ten at the most. b. W q = L q = 7.45 = 1.38 λ 5.4 W = Wq+ 1 = 1.38 + 0.5 = 1.88 minutes μ Problem 29 a. λ = 3/8 = .375 μ = ½ = .5 b. L q = λ 2 o 2 + (λ / μ) 2 = (.375) 2 (1.5) 2 + (.375/.5) 2 =1.7578 2 ( 1 - λ / μ) 2(1-.375/ .5) L = L q + λ / μ = 1.7575 + .375 / .5 = 2.5078 TC = c w L + c s k = 35 (2.5078) + 28 (1) = $ 115.71 c. Current System (o = 1.5) New system (o = 0) L q = 1.7578 L q = 1.125 L = 2.5078
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Module 7 Chapter Questions - Chapter 15 problems: Problem...

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