How find shortest path in transport connection by using Cypher query (neo4j) over GTFS data?

Question

I am new in neo4j, I created a graph following this steps , based on a data model from GTFS. I would like to find all the shortest indirect routes in the graph (with transfers). Data model of graph database contains 4 entities: Route, Trip, Stop, Stoptime. Here is a screenshot of db.scheme() .

Based on query which wrote Bruggen, I modified it for my use:

MATCH 
(from:Stop {code:'VBR'})--(st_from:Stoptime),
(to:Stop {code:'VIR'})--(st_to:Stoptime),
p1=((st_from)-[:PRECEDES*]->(st_midway_arr:Stoptime)),
(st_midway_arr)--(midway:Stop),
(midway)--(st_midway_dep:Stoptime),
p2=((st_midway_dep)-[:PRECEDES*]->(st_to))
WHERE
st_from.departure_time > '00:00'
AND st_from.departure_time < '23:00'
AND st_midway_arr.arrival_time > st_from.departure_time
AND st_midway_dep.departure_time > st_midway_arr.arrival_time
AND st_to.arrival_time > st_midway_dep.departure_time
RETURN
from,st_from,to,st_to,p1,p2,midway
order by (st_to.arrival_time_int-st_from.departure_time_int) ASC
limit 1;

This query is not using the shortest path, and it takes in average 30s to find a path, but the output of the query is good .

So I tried to write another query, with method allshortestpaths, it really fast (0,3s). But it returns me also trips which run in a different direction (VIR -> VBR)... another problem is the timing od that connection.

Could you help me, how to access to the transfer node (Station) when I am using allshortestpath method? I want to write a condition for timing and stop_sequence to be sure that's the right direction.

match (from:Stop {code:'VBR'}),(to:Stop {code:'VIR'})
with from,to
match p = allshortestpaths((from)-[*]-(to))
where NONE (x in relationships(p) where type(x)="OPERATES")
return p
limit 10;

Answer 1

match (from:Stop {code:'VBR'}),(to:Stop {code:'VIR'})
with from,to
match p = allshortestpaths((from)-[*]->(to)) // here you needed you give the direction to make sure paths are from 'VBR' to 'VIR'
where NONE (x in relationships(p) where type(x)="OPERATES")
return p
limit 10;

Next , if you want to see the nodes in the path , then you can use the nodes(p)

match (from:Stop {code:'VBR'}),(to:Stop {code:'VIR'})
with from,to
match p = allshortestpaths((from)-[*]->(to)) 
where NONE (x in relationships(p) where type(x)="OPERATES")
AND ALL(node in nodes WHERE node = from OR node = to OR YOUR CONDTION ON TRANSFER NODE)
limit 10