pgr_pickDeliver - Experimental

pgr_pickDeliver - 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

    • New experimental function

Support

  • Supported versions: current(3.1) 3.0

Synopsis

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

  • Optimization problem is NP-hard.

  • pickup and Delivery with time windows.

  • All vehicles are equal.

    • Same Starting location.

    • Same Ending location which is the same as Starting location.

    • All vehicles travel at the same speed.

  • A customer is for doing a pickup or doing a deliver.

    • has an open time.

    • has a closing time.

    • has a service time.

    • has an (x, y) location.

  • 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

  • All trucks depart at time 0.

  • No multiple time windows for a location.

  • Less vehicle used is considered better.

  • Less total duration is better.

  • Less wait time is better.

  • the algorithm will raise an exception when

    • If there is a pickup-deliver pair than violates time window

    • The speed, max_cycles, ma_capacity have illegal values

  • Six different initial will be optimized - the best solution found will be result

Signature

pgr_pickDeliver(orders_sql, vehicles_sql, matrix_sql [, factor, max_cycles, initial_sol])
RETURNS SET OF (seq, vehicle_number, vehicle_id, stop, order_id, stop_type, cargo,
                travel_time, arrival_time, wait_time, service_time, departure_time)

Parameters

The parameters are:

orders_sql, vehicles_sql, matrix_sql [, factor, max_cycles, initial_sol]

Column

Type

Default

Description

orders_sql

TEXT

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

vehicles_sql

TEXT

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

matrix_sql

TEXT

Pick & Deliver Matrix SQL query containing the distance or travel times.

factor

NUMERIC

1

Travel time multiplier. See Factor Handling

max_cycles

INTEGER

10

Maximum number of cycles to perform on the optimization.

initial_sol

INTEGER

4

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_node_id, p_open, p_close, [p_service, ]
d_node_id, 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 non euclidean implementation, the starting and ending identifiers are needed:

Column

Type

Description

p_node_id

ANY-INTEGER

The node identifier of the pickup, must match a node identifier in the matrix table.

d_node_id

ANY-INTEGER

The node identifier of the delivery, must match a node identifier in the matrix table.

Pick & Deliver Vehicles SQL

A SELECT statement that returns the following columns:

id, capacity
start_node_id, start_open, start_close [, start_service, ]
[ end_node_id, 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 non euclidean implementation, the starting and ending identifiers are needed:

Column

Type

Default

Description

start_node_id

ANY-INTEGER

The node identifier of the starting location, must match a node identifier in the matrix table.

end_node_id

ANY-INTEGER

start_node_id

The node identifier of the ending location, must match a node identifier in the matrix table.

Pick & Deliver Matrix SQL

A SELECT statement that returns the following columns:

Warning

TODO

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_pickDeliver(
    $$ SELECT * FROM orders ORDER BY id $$,
    $$ SELECT * FROM vehicles $$,
    $$ SELECT * from pgr_dijkstraCostMatrix(
        ' SELECT * FROM edge_table ', ARRAY[3, 4, 5, 8, 9, 11])
    $$
);
 seq | vehicle_seq | vehicle_id | stop_seq | stop_type | stop_id | order_id | cargo | travel_time | arrival_time | wait_time | service_time | departure_time
-----+-------------+------------+----------+-----------+---------+----------+-------+-------------+--------------+-----------+--------------+----------------
   1 |           1 |          1 |        1 |         1 |       6 |       -1 |     0 |           0 |            0 |         0 |            0 |              0
   2 |           1 |          1 |        2 |         2 |       5 |        3 |    30 |           1 |            1 |         1 |            3 |              5
   3 |           1 |          1 |        3 |         3 |      11 |        3 |     0 |           2 |            7 |         0 |            3 |             10
   4 |           1 |          1 |        4 |         2 |       9 |        2 |    20 |           2 |           12 |         0 |            2 |             14
   5 |           1 |          1 |        5 |         3 |       4 |        2 |     0 |           1 |           15 |         0 |            3 |             18
   6 |           1 |          1 |        6 |         6 |       6 |       -1 |     0 |           4 |           22 |         0 |            0 |             22
   7 |           2 |          1 |        1 |         1 |       6 |       -1 |     0 |           0 |            0 |         0 |            0 |              0
   8 |           2 |          1 |        2 |         2 |       3 |        1 |    10 |           5 |            5 |         0 |            3 |              8
   9 |           2 |          1 |        3 |         3 |       8 |        1 |     0 |           3 |           11 |         0 |            3 |             14
  10 |           2 |          1 |        4 |         6 |       6 |       -1 |     0 |           0 |           14 |         0 |            0 |             14
  11 |          -2 |          0 |        0 |        -1 |      -1 |       -1 |    -1 |          18 |           -1 |         1 |           17 |             36
(11 rows)

See Also

Indices and tables