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The throughput of the system on a Slotted Aloha network. The network uses Slotte

ID: 3745170 • Letter: T

Question

The throughput of the system on a Slotted Aloha network. The network uses Slotted Aloha, the length of each timeslot is equal to the transmission time of a single packet. Each computer generates 500 packets per second with each packet is 1000 bytes. What is the throughput of the system if there are 10 computers on the network?

A tutor's answer:

S=G×eG

500 packets per second = 1/2 packest per millisecond <---- Can you explain here, why convert to millisecond to do the calculation

S = 1/2*(e{-1/2}   

S = 0.30325

Throughput = G*S = 1000 * 0.30325 = 303.25 packets per computer <--- also, what is 1000 here stands for?

Throughput of 10 computers = 10*303.25 = 3032.5 packets

Explanation / Answer

G is the average number of frame/packet start time points within 1 frame/packet slot. and on standard basis G is taken in ms(mili second).

as G is average number of frame/packet start time within 1 frame slot, and S is average successful frame transmissions per frame/packet slot.

so it is for per frame/packet slot and

each frame/packet contain 1000 bytes of data per frame, so throughput 1000*S.

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