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<record version="2" id="1132">
 <title>speedup</title>
 <name>Speedup</name>
 <created>2001-12-22 05:41:32</created>
 <modified>2002-03-13 16:43:03</modified>
 <type>Definition</type>
 <creator id="2" name="akrowne"/>
 <author id="2" name="akrowne"/>
 <classification>
	<category scheme="msc" code="68W40"/>
	<category scheme="msc" code="68W10"/>
 </classification>
 <keywords>
	<term>parallel computing</term>
 </keywords>
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\usepackage{xypic}</preamble>
 <content>\emph{Speedup} is a way to quantify the advantage of using a parallel algorithm over a sequential algorithm.  The speedup $S$ is defined as

$$ S = \frac{R}{P} $$
Where $R$ is the running time of the best available sequential algorithm and $P$ is the running time of the parallel algorithm.  

Ideally, on a system with $N$ processors, the speedup for any algorithm would be $N$.  Amdahl's law deals with the speedup in more realistic situations.</content>
</record>
