Question

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 (in-cluding 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  

Answer 1

The efficiency of the pure ALOHA is given by \(η \) =  g × e^-2g. where g is the avg number of frames generated during the transmission of one frame.

Explanation:

here g =  1 given.

So, for a pure alpha, g = 1,(as poission process) then we get η = 1 × e^-2 = 0.13533 for 1 frame per second.

to calculate for 1000,

we get throughput = 1000 × 0.13533 = 135.33  = 135 (round upto nearest integer)