Question

You are in charge of a datacenter that handles web requests. Each incoming request first goes to a processor that assigns it to one of N web servers operating in parallel. This process takes 100 μs (10^-6 seconds) and cannot be parallelized. Each web server takes 100 ms to handle a request assigned to it. With N=1, the total time per request is 100.1 ms, and the server can thus handle 1/(100.1 ms) ~ 35,964 requests per hour. Your task is to increase throughput to 7.2 million requests per hour.

Answer 1

Answer:

We need 201 Web servers to increase our through put to 7.2 million request per hour.

Explanation:

Given that all server are working in parallel and each server takes 100 μs for each request to process and assign it to a server. Total time taken during assigning process will be

$1 process=10^{-6}\\ 7.2 mil process=7,200,000 * 10^{-6}$

Time taken for 7.2 mil request to process =7.2 sec

Now for our server to handle request, time taken for server to handle a request is 100.1ms and server can handle 35964 request per hour approximately.

$1 server= 35964 request/hour$

Number of server per request

1 server handles35964  request / hour.From this we can find time taken for 7.2mil request/hour

For 7.2mil request

$X=7200000* number of server per request per hour$$X=200.2 ~ 200 servers$