How toget a list of "fastest miles" from a set of GPS Points

Posted by santiagobasulto on Stack Overflow See other posts from Stack Overflow or by santiagobasulto
Published on 2012-07-04T08:55:55Z Indexed on 2012/07/04 9:16 UTC
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I'm trying to solve a weird problem. Maybe you guys know of some algorithm that takes care of this.

I have data for a cargo freight truck and want to extract some data. Suppose I've got a list of sorted points that I get from the GPS. That's the route for that truck:

[
    {
        "lng": "-111.5373066",
        "lat": "40.7231711",
        "time": "1970-01-01T00:00:04Z",
        "elev": "1942.1789265256325"
    },
    {
        "lng": "-111.5372056",
        "lat": "40.7228762",
        "time": "1970-01-01T00:00:07Z",
        "elev": "1942.109892409177"
    }
]

Now, what I want to get is a list of the "fastest miles". I'll do an example:

Given the points:

A, B, C, D, E, F

the distance from point A to point B is 1 mile, and the cargo took 10:32 minutes. From point B to point D i've got other mile, and the cargo took 10 minutes, etc. So, i need a list sorted by time. Similar to:

B -> D: 10
A -> B: 10:32
D -> F: 11:02

Do you know any efficient algorithm that let me calculate that?

Thank you all.

PS: I'm using Python.

EDIT:

I've got the distance. I know how to calculate it and there are plenty of posts to do that. What I need is an algorithm to tokenize by mile and get speed from that. Having a distance function is not helpful enough:

results = {}
for point in points:
  aux_points = points.takeWhile(point>n) #This doesn't exist, just trying to be simple
  for aux_point in aux_points:
    d = distance(point, aux_point)
    if d == 1_MILE:
      time_elapsed = time(point, aux_point)
      results[time_elapsed] = (point, aux_point)

I'm still doing some pretty inefficient calculations.

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