most recent 30 from http://mathoverflow.net 2013-05-19T16:20:01Z http://mathoverflow.net/feeds/user/18409 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/77660/question-on-calculating-throughput Jeff Sanders 2011-10-10T05:11:38Z 2011-10-10T09:17:40Z

<p>Here is the necessary information:</p> <p>A file contains:</p> <ul> <li>A header of size of <strong>h</strong> bits</li> <li>Data component of size <strong>d</strong> bits</li> <li>There is a probability <strong>b</strong> that a bit will be dropped (ruining the file) </li> <li>The connection can support a maximum of <strong>c</strong> bits/second</li> </ul> <p>I need to:</p> <ul> <li>Calculate the probability a file will be ruined. Already did this: <strong>b(h+d)</strong></li> <li>Compute the throughput over the link. (<strong>h</strong> remains the same size, so what is the optimal value for <strong>d</strong>?)</li> </ul> <p>I'm having problems coming up with a function to model the number of files being sent through. If I could do that, I think it would be simple to maximize it.</p> <p>Any help is appreciated.</p>