λί/λΣ=10k/μκ (1-0i-1)(1-0₁) For a multi-class M/M/1/∞/PR, show that the mean waiting time W₁ = Σi=1 (0i = Σk=1 Pk , i = 1,2, ..., r) is the same as for an M/M/1 queue if µ₁ = µ₂ = ··· = µr = µl. Is this condition also necessary?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
Question
1
λί/λΣ=10k/μκ
(1-0i-1)(1-0)
7. For a multi-class M/M/1/00/PR, show that the mean waiting time W₁ = Σ₁=₁7
=1
(0₁ = Σk=1 Pk , i = 1,2, ..., r) is the same as for an M/M/1 queue if μ₁ = μ₂ = ··· = Mr = µ.
Is this condition also necessary?
Transcribed Image Text:λί/λΣ=10k/μκ (1-0i-1)(1-0) 7. For a multi-class M/M/1/00/PR, show that the mean waiting time W₁ = Σ₁=₁7 =1 (0₁ = Σk=1 Pk , i = 1,2, ..., r) is the same as for an M/M/1 queue if μ₁ = μ₂ = ··· = Mr = µ. Is this condition also necessary?
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