Question

Consider a packet of length L, which begins at source and travels over seven links to a destination. These links are connected through six routers. Let di, si, and Ri denote the length, propagation speed, and the transmission rate of link i, for i = 1 to 7. The processing delay at each router is d-proc. The queuing delay at each router is d-que. What is the total end-to-end delay for the packet in terms of di, si, Ri (i = 1 to 7), and L?

Answer 1

Answer:

$delay=\dfrac{L}{R_1}+\dfrac{L}{R_2}+\dfrac{L}{R_3}+\dfrac{L}{R_4}+\dfrac{L}{R_5}+\dfrac{L}{R_6}+\dfrac{L}{R_7}+\dfrac{L}{R_7}+\dfrac{d}{S_1}+\dfrac{d}{S_2}+\dfrac{d}{S_3}+\dfrac{d}{S_4}+\dfrac{d}{S_5}+\dfrac{d}{S_6}+\dfrac{d}{S_7}+d_{pro}+d_{que}$

Explanation:

Given that

Length of packet = L

Number of routers = 6

Propagation delay = d-proc

Queuing  delay = d-que

The formula for finding end to end delay given as

$delay=\dfrac{L}{R_1}+\dfrac{L}{R_2}+\dfrac{L}{R_3}+\dfrac{L}{R_4}+\dfrac{L}{R_5}+\dfrac{L}{R_6}+\dfrac{L}{R_7}+\dfrac{L}{R_7}+\dfrac{d}{S_1}+\dfrac{d}{S_2}+\dfrac{d}{S_3}+\dfrac{d}{S_4}+\dfrac{d}{S_5}+\dfrac{d}{S_6}+\dfrac{d}{S_7}+d_{pro}+d_{que}$