# A small router has two processors to support a small population of h

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A small router has two processors to support a small
population of hosts. The router drops incoming packets if it
cannot be processed immediately by one of the processors
this means that there is no buffer to queue the packets.
Each host generates an average of 1000 packets/second
and each processor is capable of processing an average of
30000 packets/second. Assume arrival and service
processes to be Poisson. What is the maximum number of
hosts that can be connected to the router if the desired
drop probability has to be kept to less than 50%.
Solution
We have following facts in this question:
1. Each host host generates 1000 packets/second on an
average
2. We have two processors in a router
3. each processor is capable of of processing 30000
packets/seconds
Now as we have two processors, so router can handle
60000 packets/seconds on an average.
and each host generates 1000 packets/second.
So we can server 60 hosts in best condition. because 60 *
1000 = 60000

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A small router has two processors to support a small population of hosts. The router drops incoming packets if it cannot be processed immediately by one of the processors – this means that there is no buffer to queue the packets. Each host generates an average of 1000 packets/second and each processor is capable of processing an average of 30000 packets/second. Assume arrival and service processes to be Poisson. What is the maximum number of hosts that can be connected to the router if the d esired drop probability has to be kept to less than 50%. Solution We have following facts in this q ...
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