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8. (P14, Page73) Consider the queuing delay in a router buffer. Let I denote traffic intensity; that is, I=La/R. Suppose that the queuing delay takes the form IL/R(1-I) for I<1. (a) Provide a formula for the total delay, that is, the queuing delay plus the transmission delay. (b) Plot the total delay as a function of L/R (assume a=10).

8. (P14, Page73) Consider the queuing delay in a router buffer. Let I denote traffic intensity; that is, I=La/R. Suppose that the queuing delay takes the form IL/R(1-I) for I<1. (a) Provide a formula for the total delay, that is, the queuing delay plus the transmission delay. (b) Plot the total delay as a function of L/R (assume a=10).

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Queuing Delay in a Router Buffer** **Problem 8 (P14, Page 73):** Consider the queuing delay in a router buffer. Let \( I \) denote traffic intensity, such that \( I = \frac{La}{R} \). Suppose that the queuing delay takes the form \(\frac{IL}{R(1-I)}\) for \( I < 1 \). **(a)** Develop a formula for the total delay, which includes the queuing delay plus the transmission delay. **(b)** Illustrate the total delay as a function of \( \frac{L}{R} \) (assume \( a = 10 \)).
Transcribed Image Text:**Queuing Delay in a Router Buffer** **Problem 8 (P14, Page 73):** Consider the queuing delay in a router buffer. Let \( I \) denote traffic intensity, such that \( I = \frac{La}{R} \). Suppose that the queuing delay takes the form \(\frac{IL}{R(1-I)}\) for \( I < 1 \). **(a)** Develop a formula for the total delay, which includes the queuing delay plus the transmission delay. **(b)** Illustrate the total delay as a function of \( \frac{L}{R} \) (assume \( a = 10 \)).
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