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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