pgr_pickDeliverEuclidean - Experimental

pgr_pickDeliverEuclidean - Pickup and delivery Vehicle Routing Problem

Warning

Possible server crash

  • These functions might create a server crash

Warning

Experimental functions

  • They are not officially of the current release.

  • They likely will not be officially be part of the next release:

    • The functions might not make use of ANY-INTEGER and ANY-NUMERICAL

    • Name might change.

    • Signature might change.

    • Functionality might change.

    • pgTap tests might be missing.

    • Might need c/c++ coding.

    • May lack documentation.

    • Documentation if any might need to be rewritten.

    • Documentation examples might need to be automatically generated.

    • Might need a lot of feedback from the comunity.

    • Might depend on a proposed function of pgRouting

    • Might depend on a deprecated function of pgRouting

Availability

  • Version 3.0.0

    • Replaces pgr_gsoc_vrppdtw

    • New experimental function

Support

Synopsis

Problem: Distribute and optimize the pickup-delivery pairs into a fleet of vehicles.

  • Optimization problem is NP-hard.

  • Pickup and Delivery:

    • capacitated

    • with time windows.

  • The vehicles

    • have (x, y) start and ending locations.

    • have a start and ending service times.

    • have opening and closing times for the start and ending locations.

  • An order is for doing a pickup and a a deliver.

    • has (x, y) pickup and delivery locations.

    • has opening and closing times for the pickup and delivery locations.

    • has a pickup and deliver service times.

  • There is a customer where to deliver a pickup.

    • travel time between customers is distance / speed

    • pickup and delivery pair is done with the same vehicle.

    • A pickup is done before the delivery.

Characteristics

  • No multiple time windows for a location.

  • Less vehicle used is considered better.

  • Less total duration is better.

  • Less wait time is better.

  • Six different optional different initial solutions

    • the best solution found will be result

Signature

pgr_pickDeliverEuclidean(orders_sql, vehicles_sql [,factor, max_cycles, initial_sol])
RETURNS SET OF (seq, vehicle_seq, vehicle_id, stop_seq, stop_type, order_id,
    cargo, travel_time, arrival_time, wait_time, service_time, departure_time)

Parameters

The parameters are:

orders_sql, vehicles_sql [,factor, max_cycles, initial_sol]

Where:

Column

Type

Default

Description

orders_sql

TEXT

Pick & Deliver Orders SQL query containing the orders to be processed.

vehicles_sql

TEXT

Pick & Deliver Vehicles SQL query containing the vehicles to be used.

factor

NUMERIC

1

(Optional) Travel time multiplier. See Factor Handling

max_cycles

INTEGER

10

(Optional) Maximum number of cycles to perform on the optimization.

initial_sol

INTEGER

4

(Optional) Initial solution to be used.

  • 1 One order per truck

  • 2 Push front order.

  • 3 Push back order.

  • 4 Optimize insert.

  • 5 Push back order that allows more orders to be inserted at the back

  • 6 Push front order that allows more orders to be inserted at the front

Pick & Deliver Orders SQL

A SELECT statement that returns the following columns:

id, demand
p_x, p_y, p_open, p_close, [p_service, ]
d_x, d_y, d_open, d_close, [d_service, ]

Where:

Column

Type

Default

Description

id

ANY-INTEGER

Identifier of the pick-delivery order pair.

demand

ANY-NUMERICAL

Number of units in the order

p_open

ANY-NUMERICAL

The time, relative to 0, when the pickup location opens.

p_close

ANY-NUMERICAL

The time, relative to 0, when the pickup location closes.

d_service

ANY-NUMERICAL

0

The duration of the loading at the pickup location.

d_open

ANY-NUMERICAL

The time, relative to 0, when the delivery location opens.

d_close

ANY-NUMERICAL

The time, relative to 0, when the delivery location closes.

d_service

ANY-NUMERICAL

0

The duration of the loading at the delivery location.

For the euclidean implementation, pick up and delivery \((x,y)\) locations are needed:

Column

Type

Description

p_x

ANY-NUMERICAL

\(x\) value of the pick up location

p_y

ANY-NUMERICAL

\(y\) value of the pick up location

d_x

ANY-NUMERICAL

\(x\) value of the delivery location

d_y

ANY-NUMERICAL

\(y\) value of the delivery location

Pick & Deliver Vehicles SQL

A SELECT statement that returns the following columns:

id, capacity
start_x, start_y, start_open, start_close [, start_service, ]
[ end_x, end_y, end_open, end_close, end_service ]

where:

Column

Type

Default

Description

id

ANY-INTEGER

Identifier of the pick-delivery order pair.

capacity

ANY-NUMERICAL

Number of units in the order

speed

ANY-NUMERICAL

1

Average speed of the vehicle.

start_open

ANY-NUMERICAL

The time, relative to 0, when the starting location opens.

start_close

ANY-NUMERICAL

The time, relative to 0, when the starting location closes.

start_service

ANY-NUMERICAL

0

The duration of the loading at the starting location.

end_open

ANY-NUMERICAL

start_open

The time, relative to 0, when the ending location opens.

end_close

ANY-NUMERICAL

start_close

The time, relative to 0, when the ending location closes.

end_service

ANY-NUMERICAL

start_service

The duration of the loading at the ending location.

For the euclidean implementation, starting and ending \((x,y)\) locations are needed:

Column

Type

Default

Description

start_x

ANY-NUMERICAL

\(x\) value of the coordinate of the starting location.

start_y

ANY-NUMERICAL

\(y\) value of the coordinate of the starting location.

end_x

ANY-NUMERICAL

start_x

\(x\) value of the coordinate of the ending location.

end_y

ANY-NUMERICAL

start_y

\(y\) value of the coordinate of the ending location.

Description of the result (TODO Disussion: Euclidean & Matrix)

RETURNS SET OF
    (seq, vehicle_seq, vehicle_id, stop_seq, stop_type,
        travel_time, arrival_time, wait_time, service_time,  departure_time)
    UNION
    (summary row)

Column

Type

Description

seq

INTEGER

Sequential value starting from 1.

vehicle_seq

INTEGER

Sequential value starting from 1 for current vehicles. The \(n_{th}\) vehicle in the solution.

vehicle_id

BIGINT

Current vehicle identifier.

stop_seq

INTEGER

Sequential value starting from 1 for the stops made by the current vehicle. The \(m_{th}\) stop of the current vehicle.

stop_type

INTEGER

Kind of stop location the vehicle is at:

  • 1: Starting location

  • 2: Pickup location

  • 3: Delivery location

  • 6: Ending location

order_id

BIGINT

Pickup-Delivery order pair identifier.

  • -1: When no order is involved on the current stop location.

cargo

FLOAT

Cargo units of the vehicle when leaving the stop.

travel_time

FLOAT

Travel time from previous stop_seq to current stop_seq.

  • 0 When stop_type = 1

arrival_time

FLOAT

Previous departure_time plus current travel_time.

wait_time

FLOAT

Time spent waiting for current location to open.

service_time

FLOAT

Service time at current location.

departure_time

FLOAT

\(arrival\_time + wait\_time + service\_time\).

  • When stop_type = 6 has the total_time used for the current vehicle.

Summary Row

Warning

TODO: Review the summary

Column

Type

Description

seq

INTEGER

Continues the Sequential value

vehicle_seq

INTEGER

-2 to indicate is a summary row

vehicle_id

BIGINT

Total Capacity Violations in the solution.

stop_seq

INTEGER

Total Time Window Violations in the solution.

stop_type

INTEGER

-1

order_id

BIGINT

-1

cargo

FLOAT

-1

travel_time

FLOAT

total_travel_time The sum of all the travel_time

arrival_time

FLOAT

-1

wait_time

FLOAT

total_waiting_time The sum of all the wait_time

service_time

FLOAT

total_service_time The sum of all the service_time

departure_time

FLOAT

total_solution_time = \(total\_travel\_time + total\_wait\_time + total\_service\_time\).

Where:

ANY-INTEGER

SMALLINT, INTEGER, BIGINT

ANY-NUMERICAL

SMALLINT, INTEGER, BIGINT, REAL, FLOAT

Example

This example use the following data: TODO put link

SELECT * FROM pgr_pickDeliverEuclidean(
    'SELECT * FROM orders ORDER BY id',
    'SELECT * from vehicles'
);
 seq | vehicle_seq | vehicle_id | stop_seq | stop_type | order_id | cargo |  travel_time  | arrival_time  | wait_time | service_time | departure_time
-----+-------------+------------+----------+-----------+----------+-------+---------------+---------------+-----------+--------------+----------------
   1 |           1 |          1 |        1 |         1 |       -1 |     0 |             0 |             0 |         0 |            0 |              0
   2 |           1 |          1 |        2 |         2 |        3 |    30 |             1 |             1 |         1 |            3 |              5
   3 |           1 |          1 |        3 |         3 |        3 |     0 | 1.41421356237 | 6.41421356237 |         0 |            3 |  9.41421356237
   4 |           1 |          1 |        4 |         2 |        2 |    20 | 1.41421356237 | 10.8284271247 |         0 |            2 |  12.8284271247
   5 |           1 |          1 |        5 |         3 |        2 |     0 |             1 | 13.8284271247 |         0 |            3 |  16.8284271247
   6 |           1 |          1 |        6 |         6 |       -1 |     0 | 1.41421356237 | 18.2426406871 |         0 |            0 |  18.2426406871
   7 |           2 |          1 |        1 |         1 |       -1 |     0 |             0 |             0 |         0 |            0 |              0
   8 |           2 |          1 |        2 |         2 |        1 |    10 |             1 |             1 |         1 |            3 |              5
   9 |           2 |          1 |        3 |         3 |        1 |     0 |  2.2360679775 |  7.2360679775 |         0 |            3 |  10.2360679775
  10 |           2 |          1 |        4 |         6 |       -1 |     0 |             2 | 12.2360679775 |         0 |            0 |  12.2360679775
  11 |          -2 |          0 |        0 |        -1 |       -1 |    -1 | 11.4787086646 |            -1 |         2 |           17 |  30.4787086646
(11 rows)

See Also

Indices and tables