Total Latency Calculation for the $1,500-$byte packet:

Given:

Packet size $($

$$

P$)=1500$ bytes

Link rate between routers $($

$$

R$)=1\mathrm{.}544$ Mbps

Distance between routers $($

$$

D$)=1600$ km

Signal propagation velocity $($

$$

$$

V

p

$$

$)=$

$2$

$\backslash$times

$1$

$0$

$8$

$2\backslash$times $10$

$8$

m$/$sec

Queuing delay at

$$

$1$

R$1($

$$

$1$

Q$1)=6$ msec

Queuing delay at

$$

$2$

R$2($

$$

$2$

Q$2)=4$ msec

Transmission Time $($

$$

T$)$:

$$

$=$

$$

$$

T$=$

R

P

$$

Propagation Time $($

$$

$$

P

t

$$

$)$:

$$

$$

$=$

$$

$$

$$

P

t

$$

$=$

V

p

$$

D

$$

Total Queuing Delay $($

$$

Q$)$:

$$

$=$

$$

$1$

$+$

$$

$2$

Q$=$Q$1+$Q$2$

Total Latency $($

$$

L$)$:

$$

$=$

$$

$+$

$$

$$

$+$

$$

L$=$T$+$P

t

$$

$+$Q

$$

$=$

$1500$

$\backslash$times

$8$

$1\mathrm{.}544$

$\backslash$times

$1$

$0$

$6$

T$=$

$1\mathrm{.}544\backslash$times $10$

$6$

$1500\backslash$times $8$

$$

$$

$$

$=$

$1600$

$\backslash$times

$1$

$0$

$3$

$2$

$\backslash$times

$1$

$0$

$8$

P

t

$$

$=$

$2\backslash$times $10$

$8$

$1600\backslash$times $10$

$3$

$$

$$

$=$

$6$

$+$

$4$

Q$=6+4$

$$

$=$

$$

$+$

$$

$$

$+$

$$

L$=$T$+$P

t

$$

$+$Q

Calculate each of these values and then plug them into the formula to find the total latency for the $1,500-$byte packet.

b$.$ Maximum Network Jitter Calculation for the five packets:

Given latency times for four additional packets: $17$ msec, $36$ msec, $11$ msec, and $9$ msec.

Calculate the Mean Latency $($

$$

M$)$:

$$

$=$

$$

Latency times

Number of packets

M$=$

Number of packets

$$Latency times

$$

Calculate the Jitter for each packet $($

$$

J$)$:

$$

$$

$=$

$$

Latency

$$

$$

$$

$$

J

i

$$

$=$Latency

i

$$

$$M$$

Find the Maximum Jitter:

Max Jitter

$=$

max

$($

$$

$1$

$,$

$$

$2$

$,$

$$

$3$

$,$

$$

$4$

$,$

$$

$5$

$)$

Max Jitter$=$max$($J

$1$

$$

$,$J

$2$

$$

$,$J

$3$

$$

$,$J

$4$

$$

$,$J

$5$

$$

$)$

Perform these calculations to find the maximum network jitter for the five packets.