Balance activities with fleet minimization
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": "minimize-cost"
},
{
"type": "balance-activities",
"options": {
"threshold": 0.01
}
}
]
]
}
Solution
{
"statistic": {
"cost": 189.47459999999995,
"distance": 120698,
"duration": 21067,
"times": {
"driving": 12067,
"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": [
16
],
"activities": [
{
"jobId": "departure",
"type": "departure"
}
]
},
{
"location": {
"lat": 52.4827319,
"lng": 13.3157235
},
"time": {
"arrival": "1970-01-01T00:04:56Z",
"departure": "1970-01-01T00:07:56Z"
},
"distance": 2960,
"load": [
15
],
"activities": [
{
"jobId": "job40",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4868236,
"lng": 13.3353656
},
"time": {
"arrival": "1970-01-01T00:10:17Z",
"departure": "1970-01-01T00:13:17Z"
},
"distance": 4367,
"load": [
14
],
"activities": [
{
"jobId": "job31",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4959052,
"lng": 13.3539713
},
"time": {
"arrival": "1970-01-01T00:15:59Z",
"departure": "1970-01-01T00:18:59Z"
},
"distance": 5983,
"load": [
13
],
"activities": [
{
"jobId": "job50",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5065998,
"lng": 13.3689955
},
"time": {
"arrival": "1970-01-01T00:21:36Z",
"departure": "1970-01-01T00:24:36Z"
},
"distance": 7549,
"load": [
12
],
"activities": [
{
"jobId": "job28",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5291335,
"lng": 13.3668934
},
"time": {
"arrival": "1970-01-01T00:28:47Z",
"departure": "1970-01-01T00:31:47Z"
},
"distance": 10061,
"load": [
11
],
"activities": [
{
"jobId": "job23",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5404107,
"lng": 13.3914127
},
"time": {
"arrival": "1970-01-01T00:35:15Z",
"departure": "1970-01-01T00:38:15Z"
},
"distance": 12142,
"load": [
10
],
"activities": [
{
"jobId": "job38",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5429597,
"lng": 13.3989552
},
"time": {
"arrival": "1970-01-01T00:39:13Z",
"departure": "1970-01-01T00:42:13Z"
},
"distance": 12726,
"load": [
9
],
"activities": [
{
"jobId": "job8",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5425207,
"lng": 13.4139155
},
"time": {
"arrival": "1970-01-01T00:43:54Z",
"departure": "1970-01-01T00:46:54Z"
},
"distance": 13740,
"load": [
8
],
"activities": [
{
"jobId": "job45",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5372914,
"lng": 13.3996298
},
"time": {
"arrival": "1970-01-01T00:48:47Z",
"departure": "1970-01-01T00:51:47Z"
},
"distance": 14869,
"load": [
7
],
"activities": [
{
"jobId": "job7",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.5189653,
"lng": 13.3890068
},
"time": {
"arrival": "1970-01-01T00:55:23Z",
"departure": "1970-01-01T00:58:23Z"
},
"distance": 17032,
"load": [
6
],
"activities": [
{
"jobId": "job25",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4940454,
"lng": 13.3788834
},
"time": {
"arrival": "1970-01-01T01:03:09Z",
"departure": "1970-01-01T01:06:09Z"
},
"distance": 19890,
"load": [
5
],
"activities": [
{
"jobId": "job27",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4855438,
"lng": 13.3832067
},
"time": {
"arrival": "1970-01-01T01:07:48Z",
"departure": "1970-01-01T01:10:48Z"
},
"distance": 20881,
"load": [
4
],
"activities": [
{
"jobId": "job48",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4742821,
"lng": 13.3628588
},
"time": {
"arrival": "1970-01-01T01:13:54Z",
"departure": "1970-01-01T01:16:54Z"
},
"distance": 22745,
"load": [
3
],
"activities": [
{
"jobId": "job14",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4708241,
"lng": 13.3598752
},
"time": {
"arrival": "1970-01-01T01:17:37Z",
"departure": "1970-01-01T01:20:37Z"
},
"distance": 23180,
"load": [
2
],
"activities": [
{
"jobId": "job36",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4711004,
"lng": 13.3321906
},
"time": {
"arrival": "1970-01-01T01:23:45Z",
"departure": "1970-01-01T01:26:45Z"
},
"distance": 25058,
"load": [
1
],
"activities": [
{
"jobId": "job41",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4661617,
"lng": 13.322692
},
"time": {
"arrival": "1970-01-01T01:28:10Z",
"departure": "1970-01-01T01:31:10Z"
},
"distance": 25905,
"load": [
0
],
"activities": [
{
"jobId": "job32",
"type": "delivery"
}
]
},
{
"location": {
"lat": 52.4664257,
"lng": 13.2812488
},
"time": {
"arrival": "1970-01-01T01:35:51Z",
"departure": "1970-01-01T01:35:51Z"
},
"distance": 28716,
"load": [
0
],
"activities": [
{
"jobId": "arrival",
"type": "arrival"
}
]
}
],
"statistic": {
"cost": 54.49819999999999,
"distance": 28716,
"duration": 5751,
"times": {
"driving": 2871,
"serving": 2880,
"waiting": 0,
"break": 0
}
}
},
{
"vehicleId": "vehicle_3",
"typeId": "vehicle",
"shiftIndex": 0,
"stops": [
{
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},
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}
},
{
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},
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}
},
{
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},
"geometry": {
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}
},
{
"type": "Feature",
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"marker-symbol": "marker",
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},
"geometry": {
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}
},
{
"type": "Feature",
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"marker-symbol": "marker",
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"marker-size": "medium"
},
"geometry": {
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}
},
{
"type": "Feature",
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"marker-symbol": "marker",
"marker-size": "medium"
},
"geometry": {
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}
},
{
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"marker-color": "#808080",
"marker-symbol": "marker",
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"marker-size": "medium"
},
"geometry": {
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}
},
{
"type": "Feature",
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"marker-symbol": "marker",
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"marker-size": "medium"
},
"geometry": {
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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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},
"geometry": {
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}
},
{
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"marker-symbol": "marker",
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},
"geometry": {
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]
}
},
{
"type": "Feature",
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"marker-size": "medium",
"marker-symbol": "marker"
},
"geometry": {
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]
}
},
{
"type": "Feature",
"properties": {
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"marker-size": "medium",
"marker-color": "#808080",
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"jobs_ids": "arrival"
},
"geometry": {
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}
},
{
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"properties": {
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"stop_idx": "0",
"marker-size": "medium",
"marker-symbol": "warehouse"
},
"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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},
{
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}
},
{
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},
{
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"distance": "28716",
"tour_idx": "0",
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},
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},
{
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"distance": "47564"
},
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}
}
]
}
This objective balances amount of activities and minimizes fleet usage at the same time:
"objectives": [
[
{
"type": "minimize-unassigned"
}
],
[
{
"type": "minimize-tours"
}
],
[
{
"type": "minimize-cost"
},
{
"type": "balance-activities",
"options": {
"threshold": 0.01
}
}
]
]
Only three vehicles used approximately 16 jobs per vehicle. If you remove minimize-tours, results should be similar
to results on previous page.