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Sat Navs
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How does the Sat Nav calculate the shortest route? In some instances a longer route is chosen which is not my preferred one? Also what branch of mathematics is used to calculate routes?
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Something to do with NP I believe.
Here is a nice useless fact. Not sure if it is correct though.
In mathematical terms, the number of routes grows as n!, or factorial n, where n is the number of cities. With four cities, for example, the number of routes will be 1 � 2 � 3 � 4, a total of 24. For just 25 cities, however, finding the best route is equivalent to finding one particular raindrop in all the world's oceans.
Here is a nice useless fact. Not sure if it is correct though.
In mathematical terms, the number of routes grows as n!, or factorial n, where n is the number of cities. With four cities, for example, the number of routes will be 1 � 2 � 3 � 4, a total of 24. For just 25 cities, however, finding the best route is equivalent to finding one particular raindrop in all the world's oceans.
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I was hoping that someone would suggest the following:
http://en.wikipedia.org/wiki/Network_topology
http://en.wikipedia.org/wiki/Network_topology