Shortest path search for real road networks and dynamic costs with pgRouting
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Transcript of Shortest path search for real road networks and dynamic costs with pgRouting
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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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