Recharge stations
This example demonstrates an experimental feature to model a simple scenario of Electric VRP. Here, the vehicles have
a distance limit (10km), so that they are forced to visit charging stations. Each station is defined by specific location,
charging duration and time windows.
Problem
{
"plan": {
"jobs": [
{
"id": "job1",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.55770070807453,
"lng": 13.47831557890163
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job2",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.56043917150327,
"lng": 13.300632258878089
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job3",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.51645925211421,
"lng": 13.310531630245283
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job4",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.48382634966174,
"lng": 13.431958828477603
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job5",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.465611353026226,
"lng": 13.448598436078305
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job6",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.47033706718906,
"lng": 13.319996854028378
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job7",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.55268247887361,
"lng": 13.381458245337722
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job8",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.52515727139781,
"lng": 13.488275599400666
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job9",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5113790139571,
"lng": 13.508014352789077
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job10",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.50443783915422,
"lng": 13.490517138667146
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job11",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.53728559309784,
"lng": 13.384345955947186
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job12",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.560969920106366,
"lng": 13.347428870365968
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job13",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.46326762540066,
"lng": 13.426293829138386
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job14",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.533357673695875,
"lng": 13.487291894366974
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job15",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5603208042266,
"lng": 13.459275950620873
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job16",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.52330707366729,
"lng": 13.439791508009296
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job17",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.48354407179593,
"lng": 13.317361234494124
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job18",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.53636687412595,
"lng": 13.396692271118948
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job19",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.46220732686443,
"lng": 13.381890620781645
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job20",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.52862953792047,
"lng": 13.434017943525484
},
"duration": 300.0
}
],
"demand": [
1
]
}
]
}
]
},
"fleet": {
"vehicles": [
{
"typeId": "vehicle",
"vehicleIds": [
"vehicle_1",
"vehicle_2"
],
"profile": {
"matrix": "car"
},
"costs": {
"fixed": 25.0,
"distance": 0.0002,
"time": 0.005
},
"shifts": [
{
"start": {
"earliest": "2020-05-01T09:00:00.00Z",
"location": {
"lat": 52.5189,
"lng": 13.4011
}
},
"end": {
"latest": "2020-05-01T18:00:00.00Z",
"location": {
"lat": 52.5189,
"lng": 13.4011
}
},
"breaks": [
{
"time": [
"2020-05-01T12:30:00.00Z",
"2020-05-01T13:00:00.00Z"
],
"places": [
{
"duration": 3600.0
}
]
}
],
"recharges": {
"maxDistance": 10000,
"stations": [
{
"location": {
"lat": 52.5459,
"lng": 13.5058
},
"duration": 900
},
{
"location": {
"lat": 52.5502,
"lng": 13.3975
},
"duration": 900
},
{
"location": {
"lat": 52.5204,
"lng": 13.3243
},
"duration": 900
},
{
"location": {
"lat": 52.4936,
"lng": 13.4076
},
"duration": 900
},
{
"location": {
"lat": 52.5064,
"lng": 13.5011
},
"duration": 900
}
]
}
}
],
"capacity": [
10
]
}
],
"profiles": [
{
"name": "car"
}
]
}
}
Solution
{
"statistic": {
"cost": 134.25099999999998,
"distance": 56055,
"duration": 14608,
"times": {
"driving": 5608,
"serving": 9000,
"waiting": 0,
"break": 0,
"commuting": 0,
"parking": 0
}
},
"tours": [
{
"vehicleId": "vehicle_1",
"typeId": "vehicle",
"shiftIndex": 0,
"stops": [
{
"location": {
"lat": 52.5189,
"lng": 13.4011
},
"time": {
"arrival": "2020-05-01T09:00:00Z",
"departure": "2020-05-01T09:00:00Z"
},
"distance": 0,
"load": [
5
],
"activities": [
{
"jobId": "departure",
"type": "departure"
}
]
},
{
"location": {
"lat": 52.51645925211421,
"lng": 13.310531630245285
},
"time": {
"arrival": "2020-05-01T09:10:14Z",
"departure": "2020-05-01T09:15:14Z"
},
"distance": 6141,
"load": [
4
],
"activities": [
{
"jobId": "job3",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5204,
"lng": 13.3243
},
"time": {
"arrival": "2020-05-01T09:16:57Z",
"departure": "2020-05-01T09:31:57Z"
},
"distance": 7172,
"load": [
4
],
"activities": [
{
"jobId": "recharge",
"type": "recharge"
}
]
},
{
"location": {
"lat": 52.560969920106366,
"lng": 13.347428870365968
},
"time": {
"arrival": "2020-05-01T09:39:55Z",
"departure": "2020-05-01T09:44:55Z"
},
"distance": 11952,
"load": [
3
],
"activities": [
{
"jobId": "job12",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.55268247887361,
"lng": 13.381458245337722
},
"time": {
"arrival": "2020-05-01T09:49:03Z",
"departure": "2020-05-01T09:54:03Z"
},
"distance": 14433,
"load": [
2
],
"activities": [
{
"jobId": "job7",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5502,
"lng": 13.3975
},
"time": {
"arrival": "2020-05-01T09:55:55Z",
"departure": "2020-05-01T10:10:55Z"
},
"distance": 15553,
"load": [
2
],
"activities": [
{
"jobId": "recharge",
"type": "recharge"
}
]
},
{
"location": {
"lat": 52.53728559309784,
"lng": 13.384345955947186
},
"time": {
"arrival": "2020-05-01T10:13:44Z",
"departure": "2020-05-01T10:18:44Z"
},
"distance": 17244,
"load": [
1
],
"activities": [
{
"jobId": "job11",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.53636687412595,
"lng": 13.396692271118948
},
"time": {
"arrival": "2020-05-01T10:20:08Z",
"departure": "2020-05-01T10:25:08Z"
},
"distance": 18086,
"load": [
0
],
"activities": [
{
"jobId": "job18",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5189,
"lng": 13.4011
},
"time": {
"arrival": "2020-05-01T10:28:25Z",
"departure": "2020-05-01T10:28:25Z"
},
"distance": 20053,
"load": [
0
],
"activities": [
{
"jobId": "arrival",
"type": "arrival"
}
]
}
],
"statistic": {
"cost": 55.5356,
"distance": 20053,
"duration": 5305,
"times": {
"driving": 2005,
"serving": 3300,
"waiting": 0,
"break": 0,
"commuting": 0,
"parking": 0
}
}
},
{
"vehicleId": "vehicle_2",
"typeId": "vehicle",
"shiftIndex": 0,
"stops": [
{
"location": {
"lat": 52.5189,
"lng": 13.4011
},
"time": {
"arrival": "2020-05-01T09:00:00Z",
"departure": "2020-05-01T09:00:00Z"
},
"distance": 0,
"load": [
10
],
"activities": [
{
"jobId": "departure",
"type": "departure"
}
]
},
{
"location": {
"lat": 52.52862953792047,
"lng": 13.434017943525484
},
"time": {
"arrival": "2020-05-01T09:04:08Z",
"departure": "2020-05-01T09:09:08Z"
},
"distance": 2479,
"load": [
9
],
"activities": [
{
"jobId": "job20",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5603208042266,
"lng": 13.459275950620873
},
"time": {
"arrival": "2020-05-01T09:15:40Z",
"departure": "2020-05-01T09:20:40Z"
},
"distance": 6399,
"load": [
8
],
"activities": [
{
"jobId": "job15",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.55770070807453,
"lng": 13.47831557890163
},
"time": {
"arrival": "2020-05-01T09:22:52Z",
"departure": "2020-05-01T09:27:52Z"
},
"distance": 7720,
"load": [
7
],
"activities": [
{
"jobId": "job1",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5459,
"lng": 13.5058
},
"time": {
"arrival": "2020-05-01T09:31:40Z",
"departure": "2020-05-01T09:46:40Z"
},
"distance": 9997,
"load": [
7
],
"activities": [
{
"jobId": "recharge",
"type": "recharge"
}
]
},
{
"location": {
"lat": 52.533357673695875,
"lng": 13.487291894366974
},
"time": {
"arrival": "2020-05-01T09:49:48Z",
"departure": "2020-05-01T09:54:48Z"
},
"distance": 11873,
"load": [
6
],
"activities": [
{
"jobId": "job14",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.52515727139781,
"lng": 13.488275599400666
},
"time": {
"arrival": "2020-05-01T09:56:20Z",
"departure": "2020-05-01T10:01:20Z"
},
"distance": 12788,
"load": [
5
],
"activities": [
{
"jobId": "job8",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5113790139571,
"lng": 13.508014352789075
},
"time": {
"arrival": "2020-05-01T10:04:43Z",
"departure": "2020-05-01T10:09:43Z"
},
"distance": 14823,
"load": [
4
],
"activities": [
{
"jobId": "job9",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.50443783915422,
"lng": 13.490517138667146
},
"time": {
"arrival": "2020-05-01T10:12:05Z",
"departure": "2020-05-01T10:17:05Z"
},
"distance": 16238,
"load": [
3
],
"activities": [
{
"jobId": "job10",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5064,
"lng": 13.5011
},
"time": {
"arrival": "2020-05-01T10:18:20Z",
"departure": "2020-05-01T10:33:20Z"
},
"distance": 16988,
"load": [
3
],
"activities": [
{
"jobId": "recharge",
"type": "recharge"
}
]
},
{
"location": {
"lat": 52.465611353026226,
"lng": 13.448598436078305
},
"time": {
"arrival": "2020-05-01T10:42:57Z",
"departure": "2020-05-01T10:47:57Z"
},
"distance": 22757,
"load": [
2
],
"activities": [
{
"jobId": "job5",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4936,
"lng": 13.4076
},
"time": {
"arrival": "2020-05-01T10:54:55Z",
"departure": "2020-05-01T11:09:55Z"
},
"distance": 26932,
"load": [
2
],
"activities": [
{
"jobId": "recharge",
"type": "recharge"
}
]
},
{
"location": {
"lat": 52.48382634966174,
"lng": 13.431958828477605
},
"time": {
"arrival": "2020-05-01T11:13:13Z",
"departure": "2020-05-01T11:18:13Z"
},
"distance": 28909,
"load": [
1
],
"activities": [
{
"jobId": "job4",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.52330707366729,
"lng": 13.439791508009296
},
"time": {
"arrival": "2020-05-01T11:25:36Z",
"departure": "2020-05-01T11:30:36Z"
},
"distance": 33336,
"load": [
0
],
"activities": [
{
"jobId": "job16",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5189,
"lng": 13.4011
},
"time": {
"arrival": "2020-05-01T11:35:03Z",
"departure": "2020-05-01T11:35:03Z"
},
"distance": 36002,
"load": [
0
],
"activities": [
{
"jobId": "arrival",
"type": "arrival"
}
]
}
],
"statistic": {
"cost": 78.71539999999999,
"distance": 36002,
"duration": 9303,
"times": {
"driving": 3603,
"serving": 5700,
"waiting": 0,
"break": 0,
"commuting": 0,
"parking": 0
}
}
}
],
"unassigned": [
{
"jobId": "job17",
"reasons": [
{
"code": "RECHARGE_CONSTRAINT_CODE",
"description": "cannot be assigned due to recharge constraint",
"details": [
{
"vehicleId": "vehicle_1",
"shiftIndex": 0
}
]
},
{
"code": "CAPACITY_CONSTRAINT",
"description": "does not fit into any vehicle due to capacity",
"details": [
{
"vehicleId": "vehicle_2",
"shiftIndex": 0
}
]
}
]
},
{
"jobId": "job19",
"reasons": [
{
"code": "RECHARGE_CONSTRAINT_CODE",
"description": "cannot be assigned due to recharge constraint",
"details": [
{
"vehicleId": "vehicle_1",
"shiftIndex": 0
}
]
},
{
"code": "CAPACITY_CONSTRAINT",
"description": "does not fit into any vehicle due to capacity",
"details": [
{
"vehicleId": "vehicle_2",
"shiftIndex": 0
}
]
}
]
},
{
"jobId": "job2",
"reasons": [
{
"code": "RECHARGE_CONSTRAINT_CODE",
"description": "cannot be assigned due to recharge constraint",
"details": [
{
"vehicleId": "vehicle_1",
"shiftIndex": 0
}
]
},
{
"code": "CAPACITY_CONSTRAINT",
"description": "does not fit into any vehicle due to capacity",
"details": [
{
"vehicleId": "vehicle_2",
"shiftIndex": 0
}
]
}
]
},
{
"jobId": "job13",
"reasons": [
{
"code": "RECHARGE_CONSTRAINT_CODE",
"description": "cannot be assigned due to recharge constraint",
"details": [
{
"vehicleId": "vehicle_1",
"shiftIndex": 0
}
]
},
{
"code": "CAPACITY_CONSTRAINT",
"description": "does not fit into any vehicle due to capacity",
"details": [
{
"vehicleId": "vehicle_2",
"shiftIndex": 0
}
]
}
]
},
{
"jobId": "job6",
"reasons": [
{
"code": "RECHARGE_CONSTRAINT_CODE",
"description": "cannot be assigned due to recharge constraint",
"details": [
{
"vehicleId": "vehicle_1",
"shiftIndex": 0
}
]
},
{
"code": "CAPACITY_CONSTRAINT",
"description": "does not fit into any vehicle due to capacity",
"details": [
{
"vehicleId": "vehicle_2",
"shiftIndex": 0
}
]
}
]
}
]
}
{
"type": "FeatureCollection",
"features": [
{
"type": "Feature",
"properties": {
"arrival": "2020-05-01T09:00:00Z",
"departure": "2020-05-01T09:00:00Z",
"distance": "0",
"jobs_ids": "departure",
"marker-color": "#3cb44b",
"marker-size": "medium",
"marker-symbol": "warehouse",
"stop_idx": "0",
"tour_idx": "0"
},
"geometry": {
"type": "Point",
"coordinates": [
13.4011,
52.5189
]
}
},
{
"type": "Feature",
"properties": {
"arrival": "2020-05-01T09:10:14Z",
"departure": "2020-05-01T09:15:14Z",
"distance": "6141",
"jobs_ids": "job3",
"marker-color": "#3cb44b",
"marker-size": "medium",
"marker-symbol": "marker",
"stop_idx": "1",
"tour_idx": "0"
},
"geometry": {
"type": "Point",
"coordinates": [
13.310531630245285,
52.51645925211421
]
}
},
{
"type": "Feature",
"properties": {
"arrival": "2020-05-01T09:16:57Z",
"departure": "2020-05-01T09:31:57Z",
"distance": "7172",
"jobs_ids": "recharge",
"marker-color": "#3cb44b",
"marker-size": "medium",
"marker-symbol": "charging-station",
"stop_idx": "2",
"tour_idx": "0"
},
"geometry": {
"type": "Point",
"coordinates": [
13.3243,
52.5204
]
}
},
{
"type": "Feature",
"properties": {
"arrival": "2020-05-01T09:39:55Z",
"departure": "2020-05-01T09:44:55Z",
"distance": "11952",
"jobs_ids": "job12",
"marker-color": "#3cb44b",
"marker-size": "medium",
"marker-symbol": "marker",
"stop_idx": "3",
"tour_idx": "0"
},
"geometry": {
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