Vehicle Routing Functions - Category (Experimental)

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 vrpRouting

    • Might depend on a deprecated function of vrpRouting

Functions

Parameters

Pick & deliver

Both implementations use the following same parameters:

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

The non euclidean implementation, additionally has:

Column

Type

Description

matrix_sql

TEXT

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

Inner Queries

Pick & Deliver Orders SQL

In general, the columns for the orders SQL is the same in both implementation of pick and delivery:

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.

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

In general, the columns for the vehicles_sql is the same in both implementation of pick and delivery:

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.

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.

Pick & Deliver Matrix SQL

Warning

TODO

Results

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

See Also

Indices and tables