GATE | GATE CS 2021 | Set 2 | Question 64
Consider a network using the pure ALOHA medium access control protocol, where each frame is of length 1,000 bits. The channel transmission rate is 1 Mbps (=106 bits per second). The aggregate number of transmissions across all the nodes (including new frame transmissions and retransmitted frames due to collisions) is modelled as a Poisson process with a rate of 1,000 frames per second. Throughput is defined as the average number of frames successfully transmitted per second. The throughput of the network (rounded to the nearest integer) is ______________ .
(A) 130 to 140
(B) 140 to 150
(C) 120 to 130
(D) 100 to 110
General Formula of Efficiency of Pure Aloha
= G x e-2G
Where G is number of requests send in given time slot
So now Tt
= L/BW = 1000/106 = 1 millisecond
For 1000 frames it will be 1000*1 millisecond = 1 second
So now in 1 second total 1000 frames send ,So G =1
Value of e = 2.71(Mathematical constant)
= 1* 2.71^(-2+1) = 0.1353
Now for 1000 frames it would be 1000*0.1353 = 135.3
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