Please help solve this question. The answer was given and I just need to show work. A hint to use within the work is also provided. This is an ungraded lecture question that I may need in the future. In the M/G/1 queue, let service times σ = [Erl(r, µ)], i.e., Erlang (r, µ)-distributed. Give theKendall (Pollaczek-Khinchine) formula for this special case. Hint. Use Kendall's formulaP(≈) = (1 − p)ß(\ — A≈) (A) and recall the main characteristics of a gamma r.v.μAnswer. ß(0) = (±)" ⇒ P(≈) = (1 − p) (µ±Ãª¯x²)”=>1-zwhere p = Xb and b = r/µ.μ.

Let's derive the Kendall (Pollaczek-Khinchine) formula for the M/G/1 queue with Erlang-distributed…

In the M/G/1 queue, let service times σ = [Erl(r, µ)], i.e., Erlang (r, μ)-distributed. Give th Kendall (Pollaczek-Khinchine) formula for this special case. Hint. Use Kendall's formu P(≈) = (1 − p)ß(A — λ) (-2) and recall the main characteristics of a gamma r.v. - => wer. ß(0) = (±±)* ⇒ P(2) = (1 − p) (µ±±x²)” 1-z - -Az where p = Xb and b = r/µ.

In the M/G/1 queue, let service times σ = [Erl(r, µ)], i.e., Erlang (r, μ)-distributed. Give th Kendall (Pollaczek-Khinchine) formula for this special case. Hint. Use Kendall's formu P(≈) = (1 − p)ß(A — λ) (-2) and recall the main characteristics of a gamma r.v. - => wer. ß(0) = (±±)* ⇒ P(2) = (1 − p) (µ±±x²)” 1-z - -Az where p = Xb and b = r/µ.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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