Waste collection¶
A waste collection company in Amsterdam empties underground containers across the West districts. A single truck departs from the depot, collects waste from containers, and returns to unload when it's near capacity before heading out again.
This example shows how to model a waste collection operation that combines several FastVRP features:
- Capacity: the truck can empty up to 60 container units before needing to unload.
- Reloading: the truck returns to the depot to unload when full, with a 15-minute unloading time modelled via a separate reload depot.
Scenario¶
The company operates a single truck from a depot and serves 100 underground containers in Amsterdam West.
Load is measured in container units. Each activity picks up one container unit, and the truck can empty up to 60 units before needing to unload. When the truck is full, it returns to the depot to unload, which takes 15 minutes. With 100 containers and a capacity of 60, the truck needs at least two trips to empty all containers.
Tip
The unloading time is modelled by creating a separate reload depot at the same location as the start depot, with a load_duration of 15 minutes.
Service duration per container is 2.5 minutes. This covers the time to position the truck, lift the underground container, empty it, and lower it back into the ground.
Vehicles: a single truck is available, working a shift from 07:00 to 17:00. Operating costs are 150 fixed, 25 per hour, and 0.25 per km.
The complete routing request looks as follows:
request.json
{
"locations": [
{
"id": "loc-depot",
"latitude": 52.39992,
"longitude": 4.79581
},
{
"id": "loc-1",
"latitude": 52.36784,
"longitude": 4.8592
},
{
"id": "loc-2",
"latitude": 52.36865,
"longitude": 4.85166
},
{
"id": "loc-3",
"latitude": 52.36128,
"longitude": 4.86214
},
{
"id": "loc-4",
"latitude": 52.39095,
"longitude": 4.87537
},
{
"id": "loc-5",
"latitude": 52.39016,
"longitude": 4.88346
},
{
"id": "loc-6",
"latitude": 52.36663,
"longitude": 4.85913
},
{
"id": "loc-7",
"latitude": 52.36674,
"longitude": 4.87672
},
{
"id": "loc-8",
"latitude": 52.37449,
"longitude": 4.86703
},
{
"id": "loc-9",
"latitude": 52.37623,
"longitude": 4.87615
},
{
"id": "loc-10",
"latitude": 52.381,
"longitude": 4.85261
},
{
"id": "loc-11",
"latitude": 52.36264,
"longitude": 4.86138
},
{
"id": "loc-12",
"latitude": 52.37793,
"longitude": 4.84107
},
{
"id": "loc-13",
"latitude": 52.379,
"longitude": 4.85486
},
{
"id": "loc-14",
"latitude": 52.37381,
"longitude": 4.8724
},
{
"id": "loc-15",
"latitude": 52.36319,
"longitude": 4.85335
},
{
"id": "loc-16",
"latitude": 52.3734,
"longitude": 4.87015
},
{
"id": "loc-17",
"latitude": 52.39265,
"longitude": 4.88256
},
{
"id": "loc-18",
"latitude": 52.37891,
"longitude": 4.85025
},
{
"id": "loc-19",
"latitude": 52.37515,
"longitude": 4.84127
},
{
"id": "loc-20",
"latitude": 52.3642,
"longitude": 4.86262
},
{
"id": "loc-21",
"latitude": 52.36227,
"longitude": 4.86391
},
{
"id": "loc-22",
"latitude": 52.384,
"longitude": 4.85052
},
{
"id": "loc-23",
"latitude": 52.36867,
"longitude": 4.85075
},
{
"id": "loc-24",
"latitude": 52.36404,
"longitude": 4.85701
},
{
"id": "loc-25",
"latitude": 52.3747,
"longitude": 4.84679
},
{
"id": "loc-26",
"latitude": 52.3812,
"longitude": 4.85828
},
{
"id": "loc-27",
"latitude": 52.36124,
"longitude": 4.87667
},
{
"id": "loc-28",
"latitude": 52.36476,
"longitude": 4.86058
},
{
"id": "loc-29",
"latitude": 52.36382,
"longitude": 4.87419
},
{
"id": "loc-30",
"latitude": 52.38127,
"longitude": 4.87281
},
{
"id": "loc-31",
"latitude": 52.36909,
"longitude": 4.87213
},
{
"id": "loc-32",
"latitude": 52.39136,
"longitude": 4.87806
},
{
"id": "loc-33",
"latitude": 52.36014,
"longitude": 4.85308
},
{
"id": "loc-34",
"latitude": 52.36372,
"longitude": 4.87829
},
{
"id": "loc-35",
"latitude": 52.38108,
"longitude": 4.84383
},
{
"id": "loc-36",
"latitude": 52.37461,
"longitude": 4.84054
},
{
"id": "loc-37",
"latitude": 52.3779,
"longitude": 4.83852
},
{
"id": "loc-38",
"latitude": 52.36482,
"longitude": 4.87412
},
{
"id": "loc-39",
"latitude": 52.37391,
"longitude": 4.87053
},
{
"id": "loc-40",
"latitude": 52.37477,
"longitude": 4.83791
},
{
"id": "loc-41",
"latitude": 52.37914,
"longitude": 4.85375
},
{
"id": "loc-42",
"latitude": 52.36816,
"longitude": 4.87474
},
{
"id": "loc-43",
"latitude": 52.38357,
"longitude": 4.85609
},
{
"id": "loc-44",
"latitude": 52.36154,
"longitude": 4.87411
},
{
"id": "loc-45",
"latitude": 52.36026,
"longitude": 4.85532
},
{
"id": "loc-46",
"latitude": 52.37501,
"longitude": 4.86633
},
{
"id": "loc-47",
"latitude": 52.3723,
"longitude": 4.848
},
{
"id": "loc-48",
"latitude": 52.38957,
"longitude": 4.87937
},
{
"id": "loc-49",
"latitude": 52.37259,
"longitude": 4.87038
},
{
"id": "loc-50",
"latitude": 52.36681,
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},
{
"id": "loc-51",
"latitude": 52.35624,
"longitude": 4.82005
},
{
"id": "loc-52",
"latitude": 52.36277,
"longitude": 4.82842
},
{
"id": "loc-53",
"latitude": 52.35772,
"longitude": 4.80254
},
{
"id": "loc-54",
"latitude": 52.35285,
"longitude": 4.7714
},
{
"id": "loc-55",
"latitude": 52.35366,
"longitude": 4.78962
},
{
"id": "loc-56",
"latitude": 52.36993,
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},
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},
{
"id": "loc-58",
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},
{
"id": "loc-59",
"latitude": 52.34631,
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},
{
"id": "loc-60",
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},
{
"id": "loc-61",
"latitude": 52.35512,
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},
{
"id": "loc-62",
"latitude": 52.35232,
"longitude": 4.79671
},
{
"id": "loc-63",
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},
{
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},
{
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"latitude": 52.34555,
"longitude": 4.80322
},
{
"id": "loc-66",
"latitude": 52.35051,
"longitude": 4.79768
},
{
"id": "loc-67",
"latitude": 52.38201,
"longitude": 4.8295
},
{
"id": "loc-68",
"latitude": 52.35114,
"longitude": 4.78193
},
{
"id": "loc-69",
"latitude": 52.36656,
"longitude": 4.84033
},
{
"id": "loc-70",
"latitude": 52.3819,
"longitude": 4.8184
},
{
"id": "loc-71",
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"longitude": 4.78077
},
{
"id": "loc-72",
"latitude": 52.35922,
"longitude": 4.83268
},
{
"id": "loc-73",
"latitude": 52.35241,
"longitude": 4.8411
},
{
"id": "loc-74",
"latitude": 52.36862,
"longitude": 4.83271
},
{
"id": "loc-75",
"latitude": 52.34681,
"longitude": 4.78497
},
{
"id": "loc-76",
"latitude": 52.34711,
"longitude": 4.80524
},
{
"id": "loc-77",
"latitude": 52.3564,
"longitude": 4.82968
},
{
"id": "loc-78",
"latitude": 52.38314,
"longitude": 4.83508
},
{
"id": "loc-79",
"latitude": 52.37384,
"longitude": 4.81119
},
{
"id": "loc-80",
"latitude": 52.3545,
"longitude": 4.77735
},
{
"id": "loc-81",
"latitude": 52.38397,
"longitude": 4.81404
},
{
"id": "loc-82",
"latitude": 52.36464,
"longitude": 4.83171
},
{
"id": "loc-83",
"latitude": 52.37861,
"longitude": 4.79837
},
{
"id": "loc-84",
"latitude": 52.37447,
"longitude": 4.80638
},
{
"id": "loc-85",
"latitude": 52.38641,
"longitude": 4.83776
},
{
"id": "loc-86",
"latitude": 52.34728,
"longitude": 4.79388
},
{
"id": "loc-87",
"latitude": 52.37707,
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},
{
"id": "loc-88",
"latitude": 52.35198,
"longitude": 4.78285
},
{
"id": "loc-89",
"latitude": 52.36282,
"longitude": 4.82646
},
{
"id": "loc-90",
"latitude": 52.3549,
"longitude": 4.78521
},
{
"id": "loc-91",
"latitude": 52.35626,
"longitude": 4.78248
},
{
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"latitude": 52.34515,
"longitude": 4.80967
},
{
"id": "loc-93",
"latitude": 52.37659,
"longitude": 4.79839
},
{
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"latitude": 52.36213,
"longitude": 4.82486
},
{
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"latitude": 52.35186,
"longitude": 4.79378
},
{
"id": "loc-96",
"latitude": 52.3489,
"longitude": 4.80699
},
{
"id": "loc-97",
"latitude": 52.37641,
"longitude": 4.81834
},
{
"id": "loc-98",
"latitude": 52.34734,
"longitude": 4.806
},
{
"id": "loc-99",
"latitude": 52.35202,
"longitude": 4.79523
},
{
"id": "loc-100",
"latitude": 52.38111,
"longitude": 4.80286
}
],
"tasks": [
{
"id": "task-1",
"location": "loc-1",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-2",
"location": "loc-2",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-3",
"location": "loc-3",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-4",
"location": "loc-4",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-5",
"location": "loc-5",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-6",
"location": "loc-6",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-7",
"location": "loc-7",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-8",
"location": "loc-8",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-9",
"location": "loc-9",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-10",
"location": "loc-10",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-11",
"location": "loc-11",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-12",
"location": "loc-12",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-13",
"location": "loc-13",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-14",
"location": "loc-14",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-15",
"location": "loc-15",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-16",
"location": "loc-16",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-17",
"location": "loc-17",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-18",
"location": "loc-18",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-19",
"location": "loc-19",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-20",
"location": "loc-20",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-21",
"location": "loc-21",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-22",
"location": "loc-22",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-23",
"location": "loc-23",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-24",
"location": "loc-24",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-25",
"location": "loc-25",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-26",
"location": "loc-26",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-27",
"location": "loc-27",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-28",
"location": "loc-28",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-29",
"location": "loc-29",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-30",
"location": "loc-30",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-31",
"location": "loc-31",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-32",
"location": "loc-32",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-33",
"location": "loc-33",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-34",
"location": "loc-34",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-35",
"location": "loc-35",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-36",
"location": "loc-36",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-37",
"location": "loc-37",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-38",
"location": "loc-38",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-39",
"location": "loc-39",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-40",
"location": "loc-40",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-41",
"location": "loc-41",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-42",
"location": "loc-42",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-43",
"location": "loc-43",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-44",
"location": "loc-44",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-45",
"location": "loc-45",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-46",
"location": "loc-46",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-47",
"location": "loc-47",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-48",
"location": "loc-48",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-49",
"location": "loc-49",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-50",
"location": "loc-50",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-51",
"location": "loc-51",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-52",
"location": "loc-52",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-53",
"location": "loc-53",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-54",
"location": "loc-54",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-55",
"location": "loc-55",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-56",
"location": "loc-56",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-57",
"location": "loc-57",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-58",
"location": "loc-58",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-59",
"location": "loc-59",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-60",
"location": "loc-60",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-61",
"location": "loc-61",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-62",
"location": "loc-62",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-63",
"location": "loc-63",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-64",
"location": "loc-64",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-65",
"location": "loc-65",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-66",
"location": "loc-66",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-67",
"location": "loc-67",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-68",
"location": "loc-68",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-69",
"location": "loc-69",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-70",
"location": "loc-70",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-71",
"location": "loc-71",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-72",
"location": "loc-72",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-73",
"location": "loc-73",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-74",
"location": "loc-74",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-75",
"location": "loc-75",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-76",
"location": "loc-76",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-77",
"location": "loc-77",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-78",
"location": "loc-78",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-79",
"location": "loc-79",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-80",
"location": "loc-80",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-81",
"location": "loc-81",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-82",
"location": "loc-82",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-83",
"location": "loc-83",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-84",
"location": "loc-84",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-85",
"location": "loc-85",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-86",
"location": "loc-86",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-87",
"location": "loc-87",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-88",
"location": "loc-88",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-89",
"location": "loc-89",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-90",
"location": "loc-90",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-91",
"location": "loc-91",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-92",
"location": "loc-92",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-93",
"location": "loc-93",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-94",
"location": "loc-94",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-95",
"location": "loc-95",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-96",
"location": "loc-96",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-97",
"location": "loc-97",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-98",
"location": "loc-98",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-99",
"location": "loc-99",
"pickup": [
1
],
"service_duration": "PT150S"
},
{
"id": "task-100",
"location": "loc-100",
"pickup": [
1
],
"service_duration": "PT150S"
}
],
"depots": [
{
"id": "depot-west",
"location": "loc-depot"
},
{
"id": "reload-west",
"location": "loc-depot",
"load_duration": "PT900S"
}
],
"vehicle_types": [
{
"id": "vehicle-truck",
"start_depot": "depot-west",
"end_depot": "depot-west",
"num_available": 1,
"capacity": [
60
],
"reload_depots": [
"reload-west"
],
"shift": {
"earliest_start": "2025-01-01T07:00:00",
"latest_end": "2025-01-01T17:00:00"
},
"costs": {
"fixed": "150.00",
"per_hour": "25.00",
"per_km": "0.25"
}
}
],
"options": {
"stop": {
"type": "max_runtime",
"seconds": 15
}
}
}
Solution¶
The solver empties all 100 containers in a single route with two trips and a reload at the depot in between.
solution.json
{
"summary": {
"total_cost": "363.90",
"distance_cost": "20.81",
"duration_cost": "193.09",
"fixed_vehicle_cost": "150.00",
"distance": 83246,
"duration": "PT27805S",
"travel_duration": "PT11905S",
"service_duration": "PT15000S",
"wait_duration": "P0D",
"num_planned": 100,
"num_unplanned": 0,
"num_routes": 1,
"load_duration": "PT900S",
"overtime": "P0D"
},
"routes": [
{
"summary": {
"total_cost": "363.90",
"distance_cost": "20.81",
"duration_cost": "193.09",
"fixed_vehicle_cost": "150.00",
"distance": 83246,
"duration": "PT27805S",
"travel_duration": "PT11905S",
"service_duration": "PT15000S",
"wait_duration": "P0D",
"start_time": "2025-01-01T07:00:00",
"end_time": "2025-01-01T14:43:25",
"num_tasks": 100,
"num_activities": 103,
"slack_duration": "PT8195S",
"load_duration": "PT900S",
"overtime": "P0D"
},
"vehicle_type_id": "vehicle-truck",
"profile": "car",
"activities": [
{
"id": "depot-west",
"location": {
"id": "loc-depot",
"latitude": 52.39992,
"longitude": 4.79581
},
"type": "depot",
"start_time": "2025-01-01T07:00:00",
"end_time": "2025-01-01T07:00:00",
"duration": "P0D",
"wait_duration": "P0D",
"travel_duration": "P0D",
"distance": 0
},
{
"id": "task-100",
"location": {
"id": "loc-100",
"latitude": 52.38111,
"longitude": 4.80286
},
"type": "task",
"start_time": "2025-01-01T07:04:31",
"end_time": "2025-01-01T07:07:01",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT271S",
"distance": 2574
},
{
"id": "task-83",
"location": {
"id": "loc-83",
"latitude": 52.37861,
"longitude": 4.79837
},
"type": "task",
"start_time": "2025-01-01T07:09:27",
"end_time": "2025-01-01T07:11:57",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT146S",
"distance": 916
},
{
"id": "task-93",
"location": {
"id": "loc-93",
"latitude": 52.37659,
"longitude": 4.79839
},
"type": "task",
"start_time": "2025-01-01T07:13:20",
"end_time": "2025-01-01T07:15:50",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT83S",
"distance": 532
},
{
"id": "task-84",
"location": {
"id": "loc-84",
"latitude": 52.37447,
"longitude": 4.80638
},
"type": "task",
"start_time": "2025-01-01T07:17:47",
"end_time": "2025-01-01T07:20:17",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT117S",
"distance": 717
},
{
"id": "task-79",
"location": {
"id": "loc-79",
"latitude": 52.37384,
"longitude": 4.81119
},
"type": "task",
"start_time": "2025-01-01T07:21:31",
"end_time": "2025-01-01T07:24:01",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT74S",
"distance": 429
},
{
"id": "task-64",
"location": {
"id": "loc-64",
"latitude": 52.37454,
"longitude": 4.81339
},
"type": "task",
"start_time": "2025-01-01T07:24:48",
"end_time": "2025-01-01T07:27:18",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT47S",
"distance": 252
},
{
"id": "task-53",
"location": {
"id": "loc-53",
"latitude": 52.35772,
"longitude": 4.80254
},
"type": "task",
"start_time": "2025-01-01T07:33:58",
"end_time": "2025-01-01T07:36:28",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT400S",
"distance": 3268
},
{
"id": "task-61",
"location": {
"id": "loc-61",
"latitude": 52.35512,
"longitude": 4.80297
},
"type": "task",
"start_time": "2025-01-01T07:37:59",
"end_time": "2025-01-01T07:40:29",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT91S",
"distance": 543
},
{
"id": "task-63",
"location": {
"id": "loc-63",
"latitude": 52.35007,
"longitude": 4.79872
},
"type": "task",
"start_time": "2025-01-01T07:42:59",
"end_time": "2025-01-01T07:45:29",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT150S",
"distance": 891
},
{
"id": "task-66",
"location": {
"id": "loc-66",
"latitude": 52.35051,
"longitude": 4.79768
},
"type": "task",
"start_time": "2025-01-01T07:45:50",
"end_time": "2025-01-01T07:48:20",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT21S",
"distance": 129
},
{
"id": "task-57",
"location": {
"id": "loc-57",
"latitude": 52.3514,
"longitude": 4.79887
},
"type": "task",
"start_time": "2025-01-01T07:49:01",
"end_time": "2025-01-01T07:51:31",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT41S",
"distance": 247
},
{
"id": "task-62",
"location": {
"id": "loc-62",
"latitude": 52.35232,
"longitude": 4.79671
},
"type": "task",
"start_time": "2025-01-01T07:52:57",
"end_time": "2025-01-01T07:55:27",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT86S",
"distance": 466
},
{
"id": "task-95",
"location": {
"id": "loc-95",
"latitude": 52.35186,
"longitude": 4.79378
},
"type": "task",
"start_time": "2025-01-01T07:56:35",
"end_time": "2025-01-01T07:59:05",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT68S",
"distance": 374
},
{
"id": "task-99",
"location": {
"id": "loc-99",
"latitude": 52.35202,
"longitude": 4.79523
},
"type": "task",
"start_time": "2025-01-01T07:59:44",
"end_time": "2025-01-01T08:02:14",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT39S",
"distance": 232
},
{
"id": "task-55",
"location": {
"id": "loc-55",
"latitude": 52.35366,
"longitude": 4.78962
},
"type": "task",
"start_time": "2025-01-01T08:04:53",
"end_time": "2025-01-01T08:07:23",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT159S",
"distance": 1136
},
{
"id": "task-90",
"location": {
"id": "loc-90",
"latitude": 52.3549,
"longitude": 4.78521
},
"type": "task",
"start_time": "2025-01-01T08:08:38",
"end_time": "2025-01-01T08:11:08",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT75S",
"distance": 453
},
{
"id": "task-91",
"location": {
"id": "loc-91",
"latitude": 52.35626,
"longitude": 4.78248
},
"type": "task",
"start_time": "2025-01-01T08:12:06",
"end_time": "2025-01-01T08:14:36",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT58S",
"distance": 343
},
{
"id": "task-71",
"location": {
"id": "loc-71",
"latitude": 52.35639,
"longitude": 4.78077
},
"type": "task",
"start_time": "2025-01-01T08:15:03",
"end_time": "2025-01-01T08:17:33",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT27S",
"distance": 145
},
{
"id": "task-80",
"location": {
"id": "loc-80",
"latitude": 52.3545,
"longitude": 4.77735
},
"type": "task",
"start_time": "2025-01-01T08:20:44",
"end_time": "2025-01-01T08:23:14",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT191S",
"distance": 1272
},
{
"id": "task-54",
"location": {
"id": "loc-54",
"latitude": 52.35285,
"longitude": 4.7714
},
"type": "task",
"start_time": "2025-01-01T08:25:10",
"end_time": "2025-01-01T08:27:40",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT116S",
"distance": 757
},
{
"id": "task-68",
"location": {
"id": "loc-68",
"latitude": 52.35114,
"longitude": 4.78193
},
"type": "task",
"start_time": "2025-01-01T08:29:42",
"end_time": "2025-01-01T08:32:12",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT122S",
"distance": 949
},
{
"id": "task-88",
"location": {
"id": "loc-88",
"latitude": 52.35198,
"longitude": 4.78285
},
"type": "task",
"start_time": "2025-01-01T08:32:34",
"end_time": "2025-01-01T08:35:04",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT22S",
"distance": 118
},
{
"id": "task-58",
"location": {
"id": "loc-58",
"latitude": 52.34735,
"longitude": 4.78004
},
"type": "task",
"start_time": "2025-01-01T08:36:56",
"end_time": "2025-01-01T08:39:26",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT112S",
"distance": 667
},
{
"id": "task-75",
"location": {
"id": "loc-75",
"latitude": 52.34681,
"longitude": 4.78497
},
"type": "task",
"start_time": "2025-01-01T08:41:39",
"end_time": "2025-01-01T08:44:09",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT133S",
"distance": 941
},
{
"id": "task-86",
"location": {
"id": "loc-86",
"latitude": 52.34728,
"longitude": 4.79388
},
"type": "task",
"start_time": "2025-01-01T08:47:07",
"end_time": "2025-01-01T08:49:37",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT178S",
"distance": 1113
},
{
"id": "task-98",
"location": {
"id": "loc-98",
"latitude": 52.34734,
"longitude": 4.806
},
"type": "task",
"start_time": "2025-01-01T08:53:17",
"end_time": "2025-01-01T08:55:47",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT220S",
"distance": 1514
},
{
"id": "task-96",
"location": {
"id": "loc-96",
"latitude": 52.3489,
"longitude": 4.80699
},
"type": "task",
"start_time": "2025-01-01T08:56:30",
"end_time": "2025-01-01T08:59:00",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT43S",
"distance": 251
},
{
"id": "task-76",
"location": {
"id": "loc-76",
"latitude": 52.34711,
"longitude": 4.80524
},
"type": "task",
"start_time": "2025-01-01T09:00:00",
"end_time": "2025-01-01T09:02:30",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT60S",
"distance": 329
},
{
"id": "task-65",
"location": {
"id": "loc-65",
"latitude": 52.34555,
"longitude": 4.80322
},
"type": "task",
"start_time": "2025-01-01T09:03:19",
"end_time": "2025-01-01T09:05:49",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT49S",
"distance": 316
},
{
"id": "task-92",
"location": {
"id": "loc-92",
"latitude": 52.34515,
"longitude": 4.80967
},
"type": "task",
"start_time": "2025-01-01T09:07:24",
"end_time": "2025-01-01T09:09:54",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT95S",
"distance": 567
},
{
"id": "task-59",
"location": {
"id": "loc-59",
"latitude": 52.34631,
"longitude": 4.81557
},
"type": "task",
"start_time": "2025-01-01T09:11:34",
"end_time": "2025-01-01T09:14:04",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT100S",
"distance": 575
},
{
"id": "task-73",
"location": {
"id": "loc-73",
"latitude": 52.35241,
"longitude": 4.8411
},
"type": "task",
"start_time": "2025-01-01T09:18:39",
"end_time": "2025-01-01T09:21:09",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT275S",
"distance": 2515
},
{
"id": "task-60",
"location": {
"id": "loc-60",
"latitude": 52.35702,
"longitude": 4.84416
},
"type": "task",
"start_time": "2025-01-01T09:23:10",
"end_time": "2025-01-01T09:25:40",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT121S",
"distance": 762
},
{
"id": "task-72",
"location": {
"id": "loc-72",
"latitude": 52.35922,
"longitude": 4.83268
},
"type": "task",
"start_time": "2025-01-01T09:28:14",
"end_time": "2025-01-01T09:30:44",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT154S",
"distance": 1002
},
{
"id": "task-77",
"location": {
"id": "loc-77",
"latitude": 52.3564,
"longitude": 4.82968
},
"type": "task",
"start_time": "2025-01-01T09:32:52",
"end_time": "2025-01-01T09:35:22",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT128S",
"distance": 918
},
{
"id": "task-51",
"location": {
"id": "loc-51",
"latitude": 52.35624,
"longitude": 4.82005
},
"type": "task",
"start_time": "2025-01-01T09:37:14",
"end_time": "2025-01-01T09:39:44",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT112S",
"distance": 699
},
{
"id": "task-94",
"location": {
"id": "loc-94",
"latitude": 52.36213,
"longitude": 4.82486
},
"type": "task",
"start_time": "2025-01-01T09:42:00",
"end_time": "2025-01-01T09:44:30",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT136S",
"distance": 864
},
{
"id": "task-89",
"location": {
"id": "loc-89",
"latitude": 52.36282,
"longitude": 4.82646
},
"type": "task",
"start_time": "2025-01-01T09:45:20",
"end_time": "2025-01-01T09:47:50",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT50S",
"distance": 290
},
{
"id": "task-52",
"location": {
"id": "loc-52",
"latitude": 52.36277,
"longitude": 4.82842
},
"type": "task",
"start_time": "2025-01-01T09:48:23",
"end_time": "2025-01-01T09:50:53",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT33S",
"distance": 158
},
{
"id": "task-82",
"location": {
"id": "loc-82",
"latitude": 52.36464,
"longitude": 4.83171
},
"type": "task",
"start_time": "2025-01-01T09:52:35",
"end_time": "2025-01-01T09:55:05",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT102S",
"distance": 576
},
{
"id": "task-74",
"location": {
"id": "loc-74",
"latitude": 52.36862,
"longitude": 4.83271
},
"type": "task",
"start_time": "2025-01-01T09:56:52",
"end_time": "2025-01-01T09:59:22",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT107S",
"distance": 655
},
{
"id": "task-56",
"location": {
"id": "loc-56",
"latitude": 52.36993,
"longitude": 4.8326
},
"type": "task",
"start_time": "2025-01-01T09:59:52",
"end_time": "2025-01-01T10:02:22",
"duration": "PT150S",
"wait_duration": "P0D",
"travel_duration": "PT30S",
"distance": 155
},
{
"id": "task-87",
"location": {
"id": "loc-87",
"latitude": 52.37707,
"longitude": 4.82589
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}
],
"unplanned": [],
"job_id": "77639186-16d0-48ea-a918-ed788c1b6b79",
"technical": {
"runtime": 15,
"iterations": 100000
}
}
The solution consists of one route with all 100 tasks planned:
- First trip (46 containers, 07:00-10:27) covers the first batch of containers. The truck leaves the depot at 07:00 and works its way through the east until it reaches near full capacity.
- Reload (10:27-10:42) the truck returns to the depot and unloads for 15 minutes.
- Second trip (54 containers, 10:42-14:43) the truck heads out again to collect the remaining containers, and finishes the shift well before 17:00.
Conclusion¶
This example combines several FastVRP features to model a realistic waste collection operation. The key modelling decisions and the tutorials that explain them in further detail:
- Reloading when the truck is full. With 100 containers and a capacity of 60, a single trip is not enough. A separate reload depot at the same location models the unloading point, with a
load_durationof 15 minutes. See the Reloading tutorial.