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Question
Consider a simplified time slotted MAC protocol, where each host always has data to send and transmits with probability p - 0.2 in every slot. There is no backoff and one frame can be transmitted in one slot, If more than one host transmits in the same slot, then the transmissions are unsuccessful due to collision. What is the maximum number of hosts which this protocol can support, if each host has to be provided a minimum throughput of 0.16 frames per time slot?
Consider a simplified time slotted MAC protocol, where each host always has data to send and transmits with probability p - 0.2 in every slot. There is no backoff and one frame can be transmitted in one slot, If more than one host transmits in the same slot, then the transmissions are unsuccessful due to collision. What is the maximum number of hosts which this protocol can support, if each host has to be provided a minimum throughput of 0.16 frames per time slot?
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Solution
The correct option is B 2
Consider 'n' host are possible
In slotted aloha, only one sender send data.
So, probability of successful transmission
=(1−0.2)n−1(0.2)
Through put = 0.16 frame
So, for what value of n, through put = probability
of successful transmission.
0.16=(1−0.2)n−1(0.2)
(0.8)1=(0.8)n−1
Comparing powers ⇒n−1=1
n = 2
Consider 'n' host are possible
In slotted aloha, only one sender send data.
So, probability of successful transmission
=(1−0.2)n−1(0.2)
Through put = 0.16 frame
So, for what value of n, through put = probability
of successful transmission.
0.16=(1−0.2)n−1(0.2)
(0.8)1=(0.8)n−1
Comparing powers ⇒n−1=1
n = 2
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