Chapter 1, Problem P17P

a.

Explanation of Solution

Let the number of nodes present in the transmission is $\text{Q}$.

$\text{Delay}\text{of}\text{end-to-end}\text{=}{\displaystyle \sum _{\text{node}\text{number}}^{\text{number}\text{of}\text{nodes}}\left(\text{Processing}\text{delay}\text{+}\text{Transmission}\text{delay}\text{+}\text{Propagation}\text{delay}\right)}$

$\text{Transmission}\text{delay}\text{=}\frac{\text{Length}\text{of}\text{the}\text{node}}{\text{Transmission}\text{rate}\text{of}\text{the}\text{link}}$

If L be length of the node and ${\text{R}}^{\text{q}}$ be the transmission rate of the q^th link then,

$\text{Transmission}\text{delay}\text{=}$

b.

Explanation of Solution

Let the number of nodes present in the transmission is $\text{Q}$.

$\text{Delay}\text{of}\text{end-to-end}\text{=}{\displaystyle \sum _{\text{node}\text{number}}^{\text{number}\text{of}\text{nodes}}\left(\begin{array}{l}\text{Processing}\text{delay}\text{+}\text{Transmission}\text{delay}\text{+}\\ \text{Propagation}\text{delay}\text{+}\text{Average queuing delay}\end{array}\right)}$

$\text{Transmission}\text{delay}\text{=}\frac{\text{Length}\text{of}\text{the}\text{node}}{\text{Transmission}\text{rate}\text{of}\text{the}\text{link}}$

If L be length of the node and ${\text{R}}^{\text{q}}$ be the transmission rate of the q^th link then,

$\text{Transmission}\text{delay}\text{=}\frac{\text{L}}{{\text{R}}^{\text{q}}}$