Multiple Supply Demand in Python

Python API Installation

The native Kinetica Python API is accessible through the following means:

• PyPI
• Git

Data File

The example script references the dc_roads.csv data file, mentioned in the Prerequisites, in the current local directory, by default. This directory can specified as a parameter when running the script.

The dc_shape dataset is a HERE dataset and is analogous to most road network datasets you could find in that it includes columns for the type of road, the average speed, the direction of the road, a WKT linestring for its geographic location, a unique ID integer for the road, and more. The graph used in the example is created with two columns from the dc_shape dataset:

• shape -- a WKT linestring composed of points that make up various streets, roads, highways, alleyways, and footpaths throughout Washington, D.C.
• direction -- an integer column that conveys information about the directionality of the road, with forward meaning the direction in which the way is drawn in OSM and backward being the opposite direction:
  • 0 -- a forward one-way road
  • 1 -- a two-way road
  • 2 -- a backward one-way road

You'll notice later that the shape column is also part of an inline calculation for distance as weight during graph creation using the ST_LENGTH and ST_NPOINTS geospatial functions.

Constants

Several constants are defined at the beginning of the script:

• SCHEMA -- the name of the schema in which the tables supporting the graph creation and match operations will be created

  Important

  The schema is created during the table setup portion of the script because the schema must exist prior to creating the tables that will later support the graph creation and match operations.

• TABLE_DC -- the name of the table into which the D.C. roads dataset is loaded

• TABLE_D / TABLE_S -- the names for the tables into which the datasets in this file are loaded. TABLE_D is a record of each demand's (store) ID, WKT location, size of demand, and their local supplier's ID; TABLE_S is a record of each supplier's ID, WKT location, truck ID, and truck size.

• GRAPH_DC -- the D.C. roads graph

• TABLE_GRAPH_DC_S1 / TABLE_GRAPH_DC_S2 -- the names for the tables into which the solutions are output

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SCHEMA = "graph_m_multi_supply_demand"
TABLE_DC = SCHEMA + ".dc_roads"
TABLE_D = SCHEMA + ".demands"
TABLE_S = SCHEMA + ".supplies"

GRAPH_DC = SCHEMA + ".dc_roads_graph"
TABLE_GRAPH_DC_S1 = GRAPH_DC + "_solved"
TABLE_GRAPH_DC_S2 = GRAPH_DC + "_solved_w_max_trip"

Table Setup

Before the supplies and demands datasets are generated, the D.C. roads dataset is loaded from a local CSV file. First, the D.C. roads table is created using the GPUdbTable interface:

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table_dc_obj = gpudb.GPUdbTable(
    _type = [
        ["Feature_ID", "long"],
        ["osm_id", "string", "char16", "nullable"],
        ["code", "double", "nullable"],
        ["fclass", "string", "char32", "nullable"],
        ["name", "string", "char256", "nullable"],
        ["ref", "string", "char256", "nullable"],
        ["bidir", "string", "char2", "nullable"],
        ["maxspeed", "double", "nullable"],
        ["layer", "double", "nullable"],
        ["bridge", "string", "char2", "nullable"],
        ["tunnel", "string", "char2", "nullable"],
        ["WKT", "string", "wkt"],
        ["oneway", "int", "int8"],
        ["weight", "float"]
    ],
    name = TABLE_DC,
    db = kinetica,
    options = {}
)

Then, the CSV file is uploaded into KiFS and loaded into the table:

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kinetica.create_directory("data", {"no_error_if_exists":"true"});
kinetica.upload_files("/data/" + CSV_FILE, open(csv_path, "rb").read())
kinetica.insert_records_from_files(TABLE_DC, ["kifs://data/" + CSV_FILE])

The demands table is also created using the GPUdbTable interface:

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table_d_obj = gpudb.GPUdbTable(
    _type = [
        ["store_id", "int", "int16"],
        ["store_location", "string", "wkt"],
        ["demand_size", "int", "int16"],
        ["supplier_id", "int", "int16"],
        ["priority", "int", "int16"]
    ],
    name = TABLE_D,
    db = kinetica,
    options = {}
)

Then the demands records are defined and inserted into the table. Six stores are created in various locations throughout the city with varying demands but they all use the same supplier. Note that the higher the priority number, the greater the priority (e.g., 3 is the highest priority in this example and 0 is the lowest):

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d_records = [
    [11, "POINT(-77.0297975 38.896235)", 35, 1, 0],
    [12, "POINT(-77.0286392 38.9169977)", 15, 1, 0],
    [13, "POINT(-77.00128239999999 38.8748973)", 40, 1, 1],
    [44, "POINT(-76.97952479999999 38.8995292)", 23, 1, 0],
    [45, "POINT(-77.026516 38.9408711)", 28, 1, 2],
    [46, "POINT(-77.0254317 38.8848442)", 25, 1, 3]
]
table_d_obj.insert_records(d_records)

Lastly, the supplies table is created using the GPUdbTable interface:

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table_s_obj = gpudb.GPUdbTable(
    _type = [
        ["supplier_id", "int", "int16"],
        ["supplier_location", "string", "wkt"],
        ["truck_id", "int", "int16"],
        ["truck_size", "int", "int16"]
    ],
    name = TABLE_S,
    db = kinetica,
    options = {}
)

Five supplies records are defined and inserted into the table: five trucks with varying sizes are assigned to the same supplier.

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s_records = [
    [1, "POINT(-77.0440586 38.9089819)", 21, 50],
    [1, "POINT(-77.0440586 38.9089819)", 22, 50],
    [1, "POINT(-77.0440586 38.9089819)", 23, 30],
    [1, "POINT(-77.0440586 38.9089819)", 24, 20],
    [1, "POINT(-77.0440586 38.9089819)", 25, 16]
]
table_s_obj.insert_records(s_records)

Graph Creation

One graph is used for the match graph example utilized in the script: dc_roads_graph, a graph based on the dc_roads dataset (one of the CSV files mentioned in Prerequisites).

The dc_roads_graph graph is created with the following characteristics:

• It is directed because the roads in the graph have directionality (one-way and two-way roads)
• It has no explicitly defined nodes because the example relies on implicit nodes attached to the defined edges
• The edges are identified by WKTLINE, using WKT LINESTRINGs from the WKT column of the dc_roads table. The road segments' directionality (DIRECTION) is derived from the oneway column of the dc_roads table.
• The weights (VALUESPECIFIED) are represented using the cost to travel the segment found in the weight column of the dc_roads table. The weights are matched to the edges using the same WKT column as edges (EDGE_WKTLINE) and the same oneway column as the edge direction (EDGE_DIRECTION).
• It has no inherent restrictions for any of the nodes or edges in the graph
• It will be replaced with this instance of the graph if a graph of the same name exists (recreate)

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create_dc_graph_response = kinetica.create_graph(
    graph_name = GRAPH_DC,
    directed_graph = True,
    nodes = [],
    edges = [
        TABLE_DC + ".WKT AS WKTLINE",
        TABLE_DC + ".oneway AS DIRECTION"
    ],
    weights = [
        TABLE_DC + ".WKT AS EDGE_WKTLINE",
        TABLE_DC + ".oneway AS EDGE_DIRECTION",
        TABLE_DC + ".weight AS VALUESPECIFIED"
    ],
    restrictions = [],
    options = {
        "recreate": "true"
    }
)

The graph output to WMS:

Multiple Supply Demand with Priority

Both the supplies and demands match identifier combinations are provided to the /match/graph endpoint so the graph server can match the supply trucks to the demand locations and with respect to priority. Using the multiple supply demand match solver results in a solution table for each unique supplier ID; in this case, one table is created: dc_roads_graph_solved.

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match_graph_dc_resp = kinetica.match_graph(
    graph_name = GRAPH_DC,
    sample_points = [
        TABLE_D + ".store_id AS DEMAND_ID",
        TABLE_D + ".store_location AS DEMAND_WKTPOINT",
        TABLE_D + ".demand_size AS DEMAND_SIZE",
        TABLE_D + ".supplier_id AS DEMAND_REGION_ID",
        TABLE_D + ".priority AS PRIORITY",
        "",
        TABLE_S + ".supplier_id AS SUPPLY_REGION_ID",
        TABLE_S + ".supplier_location AS SUPPLY_WKTPOINT",
        TABLE_S + ".truck_id AS SUPPLY_ID",
        TABLE_S + ".truck_size AS SUPPLY_SIZE"
    ],
    solve_method = "match_supply_demand",
    solution_table = TABLE_GRAPH_DC_S1,
    options = {}
)

The example script utilizes /get/records to extract the results from the solution table:

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+------------+-------------+------------------------+----------+
|   Truck ID | Store IDs   | Store Drops            |     Cost |
|------------+-------------+------------------------+----------|
|         25 | (46)        | (16.000)               | 0.409532 |
|         24 | (46,11)     | (9.000,11.000)         | 0.412311 |
|         21 | (13,11)     | (40.000,10.000)        | 0.741923 |
|         23 | (45,12)     | (28.000,2.000)         | 1.0872   |
|         22 | (12,44,11)  | (13.000,23.000,14.000) | 1.28554  |
+------------+-------------+------------------------+----------+

Solution Analysis

For each truck from the supplies table that is involved in the solution, the solution table presents the store(s) visited (by ID), how much "supply" is dropped off at each store, the route taken to the store(s) and back to the supplier, and the cost for the entire route.

Based on the results, you can see that the priority stores' demands were met first: store IDs 46, 45, and 13. Truck ID 24 made a stop at Store 46 and dropped off its entire supply. Once a truck has exhausted its supply in the solution, it is no longer used. Truck ID 25 made a stop at Store ID 46 and 11: it stopped at Store 46 to fulfill the rest of the store's demand and supplied Store 11 with the rest of its available supply. Trucks will drop off as much supply as they are able; if some supply is left on the truck after a drop-off, the truck will continue to the next most optimal drop-off location regardless of priority. Truck ID 23 made a stop at Store ID 45 to fulfill the store's entire demand and Store ID 12 to drop off the rest of its available supply. Truck ID 21 made a stop at Store ID 13 to fulfill the store's entire demand and Store ID 11 to drop off the rest of its available supply. Truck ID 22 made a stop at Store ID 12, 44, and 11 to either fulfill the store's entire demand (44) or to complete the rest of the store's demand (12, 11).

Multiple Supply Demand with Priority and Max Trip Cost

Similarly to the example above, both the supplies and demands match identifier combinations are provided to the /match/graph endpoint so the graph server can match the supply trucks to the demand locations and with respect to priority and the max trip cost. Max trip cost affects this example by preventing trucks from supplying another store if the cost to travel to that store is greater than the provided cost. Using the multiple supply demand match solver results in a solution table for each unique supplier ID; in this case, one table is created: dc_roads_graph_solved_w_max_trip.

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match_graph_dc_resp = kinetica.match_graph(
    graph_name = GRAPH_DC,
    sample_points = [
        TABLE_D + ".store_id AS DEMAND_ID",
        TABLE_D + ".store_location AS DEMAND_WKTPOINT",
        TABLE_D + ".demand_size AS DEMAND_SIZE",
        TABLE_D + ".supplier_id AS DEMAND_REGION_ID",
        TABLE_D + ".priority AS PRIORITY",
        "",
        TABLE_S + ".supplier_id AS SUPPLY_REGION_ID",
        TABLE_S + ".supplier_location AS SUPPLY_WKTPOINT",
        TABLE_S + ".truck_id AS SUPPLY_ID",
        TABLE_S + ".truck_size AS SUPPLY_SIZE"
    ],
    solve_method = "match_supply_demand",
    solution_table = TABLE_GRAPH_DC_S2,
    options = {
        "max_trip_cost": "0.6",
        "aggregated_output": "true"
    }
)

The example script utilizes /get/records again to extract the results from the second solution table:

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+------------+---------------+-----------------------------+----------+
|   Truck ID | Store IDs     | Store Drops                 |     Cost |
|------------+---------------+-----------------------------+----------|
|         25 | (11)          | (16.000)                    | 0.237547 |
|         24 | (46)          | (20.000)                    | 0.409532 |
|         22 | (13,11)       | (40.000,10.000)             | 0.741923 |
|         23 | (11,44)       | (7.000,23.000)              | 1.07941  |
|         21 | (46,12,45,11) | (5.000,15.000,28.000,2.000) | 1.43993  |
+------------+---------------+-----------------------------+----------+