= 0 for n> 3. The death rates are ₁ = 3, ₂ = 4, diagram for this birth-and death process. mulas for the birth-and-death process to calculate Po,.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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= = 3,
6. Consider the birth-and death process with the following mean rates. The birth rates are λ = 2, λ₁
3, μ₂ =
= 4, µ3
1, and un = 2 for n ≥ 4.
-
La'
^₂ = 2, 13
1, and n = 0 for n> 3. The death rates are ₁
(a) Construct the rate diagram for this birth-and death process.
(b) Use the general formulas for the birth-and-death process to calculate P₁, P₁, ···. Also calculate L,
Wq.
=
=
W, and
Transcribed Image Text:= = 3, 6. Consider the birth-and death process with the following mean rates. The birth rates are λ = 2, λ₁ 3, μ₂ = = 4, µ3 1, and un = 2 for n ≥ 4. - La' ^₂ = 2, 13 1, and n = 0 for n> 3. The death rates are ₁ (a) Construct the rate diagram for this birth-and death process. (b) Use the general formulas for the birth-and-death process to calculate P₁, P₁, ···. Also calculate L, Wq. = = W, and
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