Balance travelled distance
Problem
{
"plan": {
"jobs": [
{
"id": "job1",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5697304,
"lng": 13.3848221
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job2",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5060419,
"lng": 13.5152641
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job3",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5421315,
"lng": 13.5189513
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job4",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5243421,
"lng": 13.4619776
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job5",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4629002,
"lng": 13.4757055
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job6",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4960479,
"lng": 13.3915876
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job7",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5372914,
"lng": 13.3996298
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job8",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5429597,
"lng": 13.3989552
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job9",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5678751,
"lng": 13.4231417
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job10",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4945572,
"lng": 13.4698049
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job11",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4989511,
"lng": 13.4740528
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job12",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4658835,
"lng": 13.4461224
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job13",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5685168,
"lng": 13.3690720
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job14",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4742821,
"lng": 13.3628588
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job15",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5650163,
"lng": 13.3027992
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job16",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5496702,
"lng": 13.4286263
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job17",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5058684,
"lng": 13.4750990
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job18",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5473416,
"lng": 13.3327894
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job19",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5276784,
"lng": 13.5465640
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job20",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5192039,
"lng": 13.3044440
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job21",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5228904,
"lng": 13.4418623
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job22",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4828453,
"lng": 13.4363713
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job23",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5291335,
"lng": 13.3668934
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job24",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5261554,
"lng": 13.5062954
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job25",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5189653,
"lng": 13.3890068
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job26",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5090143,
"lng": 13.4368189
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job27",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4940454,
"lng": 13.3788834
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job28",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5065998,
"lng": 13.3689955
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job29",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5473490,
"lng": 13.3733163
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job30",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4695374,
"lng": 13.4914662
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job31",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4868236,
"lng": 13.3353656
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job32",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4661617,
"lng": 13.3226920
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job33",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4917198,
"lng": 13.5251532
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job34",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5431264,
"lng": 13.4416407
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job35",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5426716,
"lng": 13.5161692
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job36",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4708241,
"lng": 13.3598752
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job37",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4737341,
"lng": 13.3866700
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job38",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5404107,
"lng": 13.3914127
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job39",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5492619,
"lng": 13.3693560
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job40",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4827319,
"lng": 13.3157235
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job41",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4711004,
"lng": 13.3321906
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job42",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4871049,
"lng": 13.5423247
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job43",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5614441,
"lng": 13.4194712
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job44",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5414557,
"lng": 13.5276390
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job45",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5425207,
"lng": 13.4139155
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job46",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5632095,
"lng": 13.2940051
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job47",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5146285,
"lng": 13.2852959
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job48",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4855438,
"lng": 13.3832067
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job49",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.5279215,
"lng": 13.4995315
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
},
{
"id": "job50",
"deliveries": [
{
"places": [
{
"location": {
"lat": 52.4959052,
"lng": 13.3539713
},
"duration": 180.0
}
],
"demand": [
1
]
}
]
}
]
},
"fleet": {
"vehicles": [
{
"typeId": "vehicle",
"vehicleIds": [
"vehicle_1",
"vehicle_2",
"vehicle_3",
"vehicle_4",
"vehicle_5"
],
"profile": {
"matrix": "car"
},
"costs": {
"fixed": 20.0,
"distance": 0.0002,
"time": 0.005
},
"shifts": [
{
"start": {
"earliest": "1970-01-01T00:00:00Z",
"location": {
"lat": 52.4664257,
"lng": 13.2812488
}
},
"end": {
"latest": "1970-01-01T23:59:00Z",
"location": {
"lat": 52.4664257,
"lng": 13.2812488
}
}
}
],
"capacity": [
20
]
}
],
"profiles": [
{
"name": "car"
}
]
},
"objectives": [
{
"type": "minimize-unassigned"
},
{
"type": "minimize-tours"
},
{
"type": "multi-objective",
"strategy": {
"name": "sum"
},
"objectives": [
{
"type": "minimize-cost"
},
{
"type": "balance-distance"
}
]
}
]
}
Solution
{
"statistic": {
"cost": 273.0455999999999,
"distance": 182928,
"duration": 27292,
"times": {
"driving": 18292,
"serving": 9000,
"waiting": 0,
"break": 0
}
},
"tours": [
{
"vehicleId": "vehicle_1",
"typeId": "vehicle",
"shiftIndex": 0,
"stops": [
{
"location": {
"lat": 52.4664257,
"lng": 13.2812488
},
"time": {
"arrival": "1970-01-01T00:00:00Z",
"departure": "1970-01-01T00:00:00Z"
},
"distance": 0,
"load": [
10
],
"activities": [
{
"jobId": "departure",
"type": "departure"
}
]
},
{
"location": {
"lat": 52.4960479,
"lng": 13.3915876
},
"time": {
"arrival": "1970-01-01T00:13:38Z",
"departure": "1970-01-01T00:16:38Z"
},
"distance": 8175,
"load": [
9
],
"activities": [
{
"jobId": "job6",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5090143,
"lng": 13.4368189
},
"time": {
"arrival": "1970-01-01T00:22:17Z",
"departure": "1970-01-01T00:25:17Z"
},
"distance": 11563,
"load": [
8
],
"activities": [
{
"jobId": "job26",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5261554,
"lng": 13.5062954
},
"time": {
"arrival": "1970-01-01T00:33:45Z",
"departure": "1970-01-01T00:36:45Z"
},
"distance": 16641,
"load": [
7
],
"activities": [
{
"jobId": "job24",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5276784,
"lng": 13.546564
},
"time": {
"arrival": "1970-01-01T00:41:18Z",
"departure": "1970-01-01T00:44:18Z"
},
"distance": 19373,
"load": [
6
],
"activities": [
{
"jobId": "job19",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5060419,
"lng": 13.5152641
},
"time": {
"arrival": "1970-01-01T00:49:39Z",
"departure": "1970-01-01T00:52:39Z"
},
"distance": 22582,
"load": [
5
],
"activities": [
{
"jobId": "job2",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4989511,
"lng": 13.4740528
},
"time": {
"arrival": "1970-01-01T00:57:29Z",
"departure": "1970-01-01T01:00:29Z"
},
"distance": 25484,
"load": [
4
],
"activities": [
{
"jobId": "job11",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4945572,
"lng": 13.4698049
},
"time": {
"arrival": "1970-01-01T01:01:26Z",
"departure": "1970-01-01T01:04:26Z"
},
"distance": 26052,
"load": [
3
],
"activities": [
{
"jobId": "job10",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4828453,
"lng": 13.4363713
},
"time": {
"arrival": "1970-01-01T01:08:47Z",
"departure": "1970-01-01T01:11:47Z"
},
"distance": 28667,
"load": [
2
],
"activities": [
{
"jobId": "job22",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4742821,
"lng": 13.3628588
},
"time": {
"arrival": "1970-01-01T01:20:14Z",
"departure": "1970-01-01T01:23:14Z"
},
"distance": 33741,
"load": [
1
],
"activities": [
{
"jobId": "job14",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4711004,
"lng": 13.3321906
},
"time": {
"arrival": "1970-01-01T01:26:45Z",
"departure": "1970-01-01T01:29:45Z"
},
"distance": 35851,
"load": [
0
],
"activities": [
{
"jobId": "job41",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4664257,
"lng": 13.2812488
},
"time": {
"arrival": "1970-01-01T01:35:34Z",
"departure": "1970-01-01T01:35:34Z"
},
"distance": 39345,
"load": [
0
],
"activities": [
{
"jobId": "arrival",
"type": "arrival"
}
]
}
],
"statistic": {
"cost": 56.538999999999994,
"distance": 39345,
"duration": 5734,
"times": {
"driving": 3934,
"serving": 1800,
"waiting": 0,
"break": 0
}
}
},
{
"vehicleId": "vehicle_5",
"typeId": "vehicle",
"shiftIndex": 0,
"stops": [
{
"location": {
"lat": 52.4664257,
"lng": 13.2812488
},
"time": {
"arrival": "1970-01-01T00:00:00Z",
"departure": "1970-01-01T00:00:00Z"
},
"distance": 0,
"load": [
10
],
"activities": [
{
"jobId": "departure",
"type": "departure"
}
]
},
{
"location": {
"lat": 52.5146285,
"lng": 13.2852959
},
"time": {
"arrival": "1970-01-01T00:08:57Z",
"departure": "1970-01-01T00:11:57Z"
},
"distance": 5373,
"load": [
9
],
"activities": [
{
"jobId": "job47",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5192039,
"lng": 13.304444
},
"time": {
"arrival": "1970-01-01T00:14:16Z",
"departure": "1970-01-01T00:17:16Z"
},
"distance": 6767,
"load": [
8
],
"activities": [
{
"jobId": "job20",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5632095,
"lng": 13.2940051
},
"time": {
"arrival": "1970-01-01T00:25:31Z",
"departure": "1970-01-01T00:28:31Z"
},
"distance": 11716,
"load": [
7
],
"activities": [
{
"jobId": "job46",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5650163,
"lng": 13.3027992
},
"time": {
"arrival": "1970-01-01T00:29:34Z",
"departure": "1970-01-01T00:32:34Z"
},
"distance": 12344,
"load": [
6
],
"activities": [
{
"jobId": "job15",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5473416,
"lng": 13.3327894
},
"time": {
"arrival": "1970-01-01T00:37:17Z",
"departure": "1970-01-01T00:40:17Z"
},
"distance": 15171,
"load": [
5
],
"activities": [
{
"jobId": "job18",
"type": "delivery"
}
]
},
{
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}
},
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},
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},
{
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},
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}
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}
},
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}
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}
},
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},
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}
},
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}
},
{
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"marker-symbol": "marker",
"marker-color": "#000075"
},
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}
},
{
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"marker-symbol": "marker"
},
"geometry": {
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}
},
{
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},
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}
},
{
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},
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}
},
{
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},
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}
},
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}
},
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},
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}
},
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},
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}
},
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},
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}
},
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},
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}
},
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"tour_idx": "3"
},
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}
},
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"marker-symbol": "marker",
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},
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}
},
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"marker-symbol": "marker",
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},
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},
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},
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}
},
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},
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},
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},
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},
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},
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},
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},
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},
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}
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},
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},
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},
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}
},
{
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},
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}
},
{
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"tour_idx": "0",
"activities": "12",
"distance": "39345",
"vehicle_id": "vehicle_1",
"stroke": "#e6194b",
"stroke-width": "4"
},
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"vehicle_id": "vehicle_5",
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},
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"vehicle_id": "vehicle_2",
"shift_idx": "0",
"activities": "12",
"stroke-width": "4",
"stroke": "#f58231"
},
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}
},
{
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"distance": "37743",
"shift_idx": "0",
"activities": "12",
"stroke-width": "4",
"vehicle_id": "vehicle_3"
},
"geometry": {
"type": "LineString",
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],
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],
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}
}
]
}
This objective balances tour distances for all tours:
"objectives": [
{
"type": "minimize-unassigned"
},
{
"type": "minimize-tours"
},
{
"type": "multi-objective",
"strategy": {
"name": "sum"
},
"objectives": [
{
"type": "minimize-cost"
},
{
"type": "balance-distance"
}
]
}
]
All used vehicles should have total tour distance close to each other.
The same way you can balance by travel duration using balance-duration objective.