Transcript
Page 1: Shortest path search for real road networks and dynamic costs with pgRouting

   

Shortest path search for real road networks

Anton Patrushev

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What is pgRouting?

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    Shortest path

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    TSP and DD

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    VRP (DARP)

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Real road networks

How do they look like?

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Like this...

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...or like this...

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...or sometimes like this.

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What makes them real?

traffic lights signs road marking

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How pgRouting can help here?

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gid,source,target,cost,reverse_cost,x1, y1,x2, y2,rule,to_cost

source

target

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It means we should increase costs.

Traffic lights make you slower.

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A

BC

D

cost(A)=cost(A)+30seccost(B)=cost(B)+30seccost(C)=cost(C)+30seccost(D)=cost(D)+30sec

1min

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Signs tell you about restrictions and road types.

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cost(A)=length(A)reverse_cost(A)=∞

A

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Sometimes the costs have different meaning.

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cost(A)=length(A)/2reverse_cost(A)=length(A)*2

cost(B)=length(B)*3reverse_cost(B)=length(B)/3

A

B

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Turn restrictions obviously restrict

turns.

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A

BC

D

cost(A)=cost(A)+1mincost(B)=cost(B)+1mincost(C)=cost(C)+1mincost(D)=cost(D)+1min

1min

A

BC

D

rule(A)="D"to_cost(A, D)=∞

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Road type signs can be used for cost calculation.

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Not only types, but also conditions.

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What about road marking?

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It separates lanes, ...

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...specifies road types, ...

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... and restrictions.

A

B

C

D

rule(D)="A, B"to_cost(D)=∞

E

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And you know what's cool about pgRouting?

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All costs are dynamic.

Which is opposite to pre-calculated.

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If the road is closed, ...

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... there is an accident, ...

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... a sign with restrictions limited

in time, ...

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   ... bad weather conditions, ...

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... or an obstacle, ...

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You don't need to rebuild and reload

your network...

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   ... and wait forever.

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You only need to adjust the cost for this particular road.

And next search will go another way.

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Cost can be virtually anything.

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It is possible to use pgRouting with OSM data.

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pgRouting can be used for different kinds of networks.

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Canals and rivers, ...

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... hiking trails, ...

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... or any other kind of network.

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Now it's showtime!

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Thanks to people who put their photos to flickr under Creative Commons license.

Thanks to sxc.hu for being the best free photo stock.

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Just want you to remember

pgrouting.orggeorepublic.deopenvrp.com

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