• Optimization
  • Navigation
  • Tracking
  • Maps
  • Places

Vehicle: Max Travel Cost and Max Tasks

In this example we will learn about some useful vehicle constraints. NextBillion.ai’s Route Optimization Flexible API provides options to control the maximum number of tasks that a vehicle can serve and also the maximum travel cost that it can incur. These parameters can be used to limit the usage of vehicles and prevent them against unexpected high costs, potential breakdowns or just control the fuel consumptions.

Get Started

Readers would need a valid NextBillion API key to try this example out. If you don’t have one, please contact us to get your API key now!

Setup

Once you have a valid API Key, you can start setting up the components to be used in this example. Let’s take a look at them below.

Jobs & Shipments

We start by defining 10 jobs and 3 shipments. For these tasks we add:

  • A unique identifier for each task

  • Location indexes for each task

  • The schedule of tasks. This is done by adding time windows within which a task must be completed. We have added a 15 min time window for all tasks for the sake of simplicity, but Route Optimization Flexible API can handle complex task schedules as well.

  • The actual time taken to complete the tasks once the driver/vehicle is at the task’s location i.e. the service time for each task.

  • Pick-up and delivery quantities for shipments and jobs. Since we are adding capacities for the vehicles, we are adding quantities for jobs as pickup=[0]. Please refer to the Basic Route Optimization example to know more.

Let’s take a look at the jobs JSON after the above properties are configured:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
{
  "jobs": [
    {
      "id": 1,
      "location_index": 0,
      "service": 120,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693386000,
          1693386900
        ]
      ]
    },
    {
      "id": 2,
      "location_index": 1,
      "service": 180,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693387800,
          1693388700
        ]
      ]
    },
    {
      "id": 3,
      "location_index": 2,
      "service": 120,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693389600,
          1693390500
        ]
      ]
    },
    {
      "id": 4,
      "location_index": 3,
      "service": 120,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693391400,
          1693392300
        ]
      ]
    },
    {
      "id": 5,
      "location_index": 4,
      "service": 60,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693393200,
          1693394100
        ]
      ]
    },
    {
      "id": 6,
      "location_index": 5,
      "service": 120,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693396800,
          1693397700
        ]
      ]
    },
    {
      "id": 7,
      "location_index": 6,
      "service": 120,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693398600,
          1693399500
        ]
      ]
    },
    {
      "id": 8,
      "location_index": 7,
      "service": 150,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693401300,
          1693402200
        ]
      ]
    },
    {
      "id": 9,
      "location_index": 8,
      "service": 80,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693404000,
          1693404900
        ]
      ]
    },
    {
      "id": 10,
      "location_index": 9,
      "service": 120,
      "pickup": [
        0
      ],
      "time_windows": [
        [
          1693405800,
          1693406700
        ]
      ]
    }
  ],
  "shipments": [
    {
      "pickup": {
        "description": "Shipment Pickup 1",
        "id": 1,
        "location_index": 10,
        "service": 120,
        "time_windows": [
          [
            1693395000,
            1693395900
          ]
        ]
      },
      "delivery": {
        "description": "Shipment Delivery 1",
        "id": 1,
        "location_index": 11,
        "service": 120,
        "time_windows": [
          [
            1693397700,
            1693398600
          ]
        ]
      },
      "amount": [
        2
      ]
    },
    {
      "pickup": {
        "description": "Shipment Pickup 2",
        "id": 2,
        "location_index": 12,
        "service": 120,
        "time_windows": [
          [
            1693399500,
            1693400400
          ]
        ]
      },
      "delivery": {
        "description": "Shipment Delivery 2",
        "id": 2,
        "location_index": 13,
        "service": 120,
        "time_windows": [
          [
            1693402200,
            1693403100
          ]
        ]
      },
      "amount": [
        2
      ]
    },
    {
      "pickup": {
        "description": "Shipment Pickup 3",
        "id": 3,
        "location_index": 14,
        "service": 120,
        "time_windows": [
          [
            1693400400,
            1693401300
          ]
        ]
      },
      "delivery": {
        "description": "Shipment Delivery 3",
        "id": 3,
        "location_index": 15,
        "service": 120,
        "time_windows": [
          [
            1693407600,
            1693408500
          ]
        ]
      },
      "amount": [
        2
      ]
    }
  ]
}

Vehicles

Next, we add 4 vehicles that are going to fulfill the tasks within the defined constraints. To describe the vehicles and their properties we add:

  • A unique ID for each vehicle

  • Vehicle shift time or the time window

  • Capacity to denote the amount of load that the vehicle can take

  • Start_index to denote the point from where the vehicle would start.

  • Costs for all vehicles. We have specified fixed cost for all vehicles and per_hourcost for two of the vehicles.

    • max_travel_cost to put a cap on the traveling cost that a vehicle can incur. We are going with 5000 seconds as the maximum cost per vehicle. Please observe that

    • cost here is in seconds, as we are not explicitly mentioning any travel_cost settings. Therefore, the solver goes with the default setting of duration for cost.

    • the max_travel_cost applies only to the “traveling” cost of the vehicle. Individual vehicle’s costs - per_hour or fixed - are outside the scope of this constraint. Therefore, the final cost may turn out to be more than that specified for max_travel_cost. We are covering such a case in this example. Please refer to Analyzing the Solution section.

  • max_tasks to limit the number of tasks that each vehicle can take. We set this constraint to 5 tasks for each vehicle. It needs to be highlighted here that a job represents 1 task whereas a shipment represents 2 tasks (1 each for the pickup and the delivery step).

Once the vehicle and their properties are defined, the resulting vehicles JSON is:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
{
  "vehicles": [
    {
      "id": 1,
      "start_index": 16,
      "capacity": [
        20
      ],
      "costs": {
        "fixed": 1000,
        "per_hour": 5400
      },
      "time_window": [
        1693382400,
        1693418400
      ],
      "max_tasks": 5,
      "max_travel_cost": 5000
    },
    {
      "id": 2,
      "start_index": 17,
      "capacity": [
        20
      ],
      "costs": {
        "fixed": 3000,
        "per_hour": 3600
      },
      "time_window": [
        1693382400,
        1693418400
      ],
      "max_tasks": 5,
      "max_travel_cost": 5000
    },
    {
      "id": 3,
      "start_index": 18,
      "capacity": [
        20
      ],
      "costs": {
        "fixed": 4000
      },
      "time_window": [
        1693382400,
        1693418400
      ],
      "max_tasks": 5,
      "max_travel_cost": 5000
    },
    {
      "id": 4,
      "capacity": [
        20
      ],
      "start_index": 19,
      "costs": {
        "fixed": 3000
      },
      "time_window": [
        1693382400,
        1693418400
      ],
      "max_tasks": 5,
      "max_travel_cost": 5000
    }
  ]
}

Locations

And lastly, we would define the locations object by adding all the locations used in the problem along with a valid id. The locations object with all the points used in this example:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
{
  "locations": {
    "id": 1,
    "location": [
      "34.083950,-118.318640",
      "34.054927,-118.323726",
      "34.075525,-118.361588",
      "34.076350,-118.338519",
      "34.090425,-118.338933",
      "34.037925,-118.459842",
      "34.004364,-118.421170",
      "34.000215,-118.318803",
      "33.945884,-118.325628",
      "34.000895,-118.204929",
      "34.076646,-118.376969",
      "34.094986,-118.300885",
      "34.018780,-118.317919",
      "33.996658,-118.261708",
      "33.916595,-118.240132",
      "33.946275,-118.385486",
      "34.057106,-118.361326",
      "34.016137,-118.253523",
      "33.940407,-118.265196",
      "33.974060,-118.246945"
    ]
  }
}

Optimization POST Request

Now let’s put all these components together and create the final POST request that we will submit to the optimizer.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
curl --location 'https://api.nextbillion.io/optimization/v2?key=<your_api_key>' \
--header 'Content-Type: application/json' \
--data '{
   "description": "Vehicle MaxTravelCost & MaxTask Example",
   "jobs": [
       {
           "id": 1,
           "location_index":0,
           "service": 120,
           "pickup":[0],
           "time_windows": [
               [
                   1693386000,
                   1693386900
               ]
           ]
       },
       {
           "id": 2,
           "location_index": 1,
           "service": 180,
           "pickup":[0],
           "time_windows": [
               [
                   1693387800,
                   1693388700
               ]
           ]
       },
       {
           "id": 3,
           "location_index": 2,
           "service": 120,
           "pickup":[0],
           "time_windows": [
               [
                   1693389600,
                   1693390500
               ]
           ]
       },
       {
           "id": 4,
           "location_index": 3,
           "service": 120,
           "pickup":[0],
           "time_windows": [
               [
                   1693391400,
                   1693392300
               ]
           ]
       },
       {
           "id": 5,
           "location_index": 4,
           "service": 60,
           "pickup":[0],
           "time_windows": [
               [
                   1693393200,
                   1693394100
               ]
           ]
       },
       {
           "id": 6,
           "location_index": 5,
           "service": 120,
           "pickup":[0],
           "time_windows": [
               [
                   1693396800,
                   1693397700
               ]
           ]
       },
       {
           "id": 7,
           "location_index": 6,
           "service": 120,
           "pickup":[0],
           "time_windows": [
               [
                   1693398600,
                   1693399500
               ]
           ]
       },
       {
           "id": 8,
           "location_index": 7,
           "service": 150,
           "pickup":[0],
           "time_windows": [
               [
                   1693401300,
                   1693402200
               ]
           ]
       },
       {
           "id": 9,
           "location_index": 8,
           "service": 80,
           "pickup":[0],
           "time_windows": [
               [
                   1693404000,
                   1693404900
               ]
           ]
       },
       {
           "id": 10,
           "location_index": 9,
           "service": 120,
           "pickup":[0],
           "time_windows": [
               [
                   1693405800,
                   1693406700
               ]
           ]
       }
   ],
   "shipments": [
       {
        "pickup":{
           "description": "Shipment Pickup 1",
           "id":1,
           "location_index":10,
           "service":120,
           "time_windows":[[1693395000,1693395900]]
        },
        "delivery":{
           "description": "Shipment Delivery 1",
           "id":1,
           "location_index":11,
           "service":120,
           "time_windows":[[1693397700,1693398600]]
        },
        "amount":[2]
        },
        {
         "pickup":{
           "description": "Shipment Pickup 2",
           "id":2,
           "location_index":12,
           "service":120,
           "time_windows":[[1693399500,1693400400]]
        },
        "delivery":{
           "description": "Shipment Delivery 2",
           "id":2,
           "location_index":13,
           "service":120,
           "time_windows":[[1693402200,1693403100]]
        },
        "amount":[2]
       },
       {
         "pickup":{
           "description": "Shipment Pickup 3",
           "id":3,
           "location_index":14,
           "service":120,
           "time_windows":[[1693400400,1693401300]]
        },
        "delivery":{
           "description": "Shipment Delivery 3",
           "id":3,
           "location_index":15,
           "service":120,
           "time_windows":[[1693407600,1693408500]]
        },
        "amount":[2]
       }
   ],
   "vehicles": [
       {
           "id": 1,
           "start_index": 16,
           "capacity":[20],
           "costs":{
               "fixed":1000,
               "per_hour":5400
            },
           "time_window": [
               1693382400,
                   1693418400
           ],
           "max_tasks": 5,
           "max_travel_cost": 5000
       },
       {
           "id": 2,
           "start_index": 17,
           "capacity":[20],
           "costs":{
               "fixed":3000,
               "per_hour": 3600
            },
           "time_window": [
               1693382400,
                   1693418400
           ],
           "max_tasks": 5,
           "max_travel_cost": 5000
       },
       {
           "id": 3,
           "start_index": 18,
           "capacity":[20],
           "costs":{
               "fixed":4000
            },
           "time_window": [
            1693382400,
                1693418400
           ],
           "max_tasks": 5,
           "max_travel_cost": 5000
       },
       {
           "id": 4,
           "capacity":[20],
           "start_index": 19,
           "costs":{
               "fixed":3000
            },
           "time_window": [
           1693382400,
                   1693418400
           ],
           "max_tasks": 5,
           "max_travel_cost": 5000
       }
   ],
    "locations":
        {
            "id": 1,
            "location": ["34.083950,-118.318640", "34.054927,-118.323726","34.075525,-118.361588","34.076350,-118.338519","34.090425,-118.338933","34.037925,-118.459842","34.004364,-118.421170", "34.000215,-118.318803","33.945884,-118.325628","34.000895,-118.204929", "34.076646,-118.376969","34.094986,-118.300885","34.018780,-118.317919","33.996658,-118.261708", "33.916595,-118.240132", "33.946275,-118.385486","34.057106,-118.361326", "34.016137,-118.253523", "33.940407,-118.265196","33.974060,-118.246945"]
        }
}
'

Optimization POST Response

Once the request is made, we get a unique ID in the API response:

1
2
3
4
5
{
"id": "96ba15bf2ef178053929bedd3b0f7d56",
"message": "Optimization job created",
"status": "Ok"
}

Optimization GET Request

We take the ID and use the Optimization GET request to retrieve the result. Here is the GET request:

1
2
curl --location 'https://api.nextbillion.io/optimization/v2/result?id=96ba15bf2ef178053929bedd3b0f7d56
&key=<your_api_key>'

Optimization GET Response

Following is the optimized route plan:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
{
  "description": "Vehicle MaxTravelCost & MaxTask Example",
  "result": {
    "code": 0,
    "summary": {
      "cost": 21899,
      "routes": 4,
      "unassigned": 0,
      "setup": 0,
      "service": 1910,
      "duration": 10502,
      "waiting_time": 25569,
      "priority": 0,
      "delivery": [
        6
      ],
      "pickup": [
        6
      ],
      "distance": 141270.5
    },
    "routes": [
      {
        "vehicle": 1,
        "cost": 2191,
        "steps": [
          {
            "type": "start",
            "arrival": 1693388364,
            "duration": 0,
            "service": 0,
            "waiting_time": 0,
            "location": [
              34.057106,
              -118.361326
            ],
            "location_index": 16,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693388700,
            "duration": 336,
            "service": 180,
            "waiting_time": 0,
            "location": [
              34.054927,
              -118.323726
            ],
            "location_index": 1,
            "id": 2,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693389206,
            "duration": 662,
            "service": 120,
            "waiting_time": 2194,
            "location": [
              34.07635,
              -118.338519
            ],
            "location_index": 3,
            "id": 4,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693391652,
            "duration": 794,
            "service": 60,
            "waiting_time": 1548,
            "location": [
              34.090425,
              -118.338933
            ],
            "location_index": 4,
            "id": 5,
            "load": [
              0
            ]
          },
          {
            "type": "end",
            "arrival": 1693393260,
            "duration": 794,
            "service": 0,
            "waiting_time": 0,
            "location": [
              34.090425,
              -118.338933
            ],
            "location_index": 4,
            "load": [
              0
            ]
          }
        ],
        "service": 360,
        "duration": 794,
        "waiting_time": 3742,
        "priority": 0,
        "delivery": [
          0
        ],
        "pickup": [
          0
        ],
        "distance": 8868.1,
        "geometry": "ywznEjmlqUBG@G@GAEEEMIw@[q@WLoA@KB[JmAB_@?U@[?a@?iABiD?u@@c@@aB@iB@g@?S@_ABsF@aB?s@?k@@o@?m@@g@?UBgBB{EDcF@s@@qD@aB@[@gA?y@?]BuB?}@?W@m@?Q?W@{@?]?K@M?kA?Q?U?I@_@BuE@qA@W?c@DcB?u@?y@?M@}B@mA?]@g@@y@@s@@c@@aA?S?U@aB@g@?e@@s@?c@@uA?m@@o@?cC@u@@{@@o@?sA?Y?Q?I?Y@m@@g@AG?A?g@@[BUBUDUFYVmA@GH_@RgAb@}B\\mB`@sBX{ADUFUNy@ZgBReABQTgADSFYBKFc@BWD[F}@@IHaBZqFLaCPuCDo@D}@BS_@C^BCRE|@En@QtCM`C[pFI`BAHG|@EZCVGb@CJGXERUfACPSdA[fBOx@GTETYzAa@rB]lBc@|BSfAI^AFWlAGXETCTCTAZ?f@?@@FAf@Al@?X?H?P?X?rAAn@Az@At@?bCAn@?l@AtA?b@Ar@?d@Af@A`B?T?RA`AAb@a@Ii@MWG[IkA[cA[]Ia@Ma@MuCy@kBg@e@Mc@MmCu@]KW?KAI@K@M@KDGBC?MDWHE?M@QIM?O@O?}@@mB?cAAoC@w@?c@?c@@mB@Q?gE?_@?_@?_D?cAAkB@a@?g@?gAA}B@_E?kA?cF?iE?{A?gA@gCAM?s@@yBA]?a@?M?Q?{B?iF@iDAY?gEB_IAaFA[@[?_@?i@?{@?[?m@?cB?G?E?QLw@?sA@S?M?W?oA?U?W?aA?]?c@?y@?[?eB?W?S?i@?s@?oA?U?M?eA?U?q@@Y@U???"
      },
      {
        "vehicle": 4,
        "cost": 5171,
        "steps": [
          {
            "type": "start",
            "arrival": 1693400619,
            "duration": 0,
            "service": 0,
            "waiting_time": 0,
            "location": [
              33.97406,
              -118.246945
            ],
            "location_index": 19,
            "load": [
              0
            ]
          },
          {
            "type": "pickup",
            "arrival": 1693401300,
            "duration": 681,
            "service": 120,
            "waiting_time": 0,
            "location": [
              33.916595,
              -118.240132
            ],
            "location_index": 14,
            "id": 3,
            "load": [
              2
            ],
            "description": "Shipment Pickup 3"
          },
          {
            "type": "job",
            "arrival": 1693402236,
            "duration": 1497,
            "service": 80,
            "waiting_time": 1764,
            "location": [
              33.945884,
              -118.325628
            ],
            "location_index": 8,
            "id": 9,
            "load": [
              2
            ]
          },
          {
            "type": "delivery",
            "arrival": 1693404754,
            "duration": 2171,
            "service": 120,
            "waiting_time": 2846,
            "location": [
              33.946275,
              -118.385486
            ],
            "location_index": 15,
            "id": 3,
            "load": [
              0
            ],
            "description": "Shipment Delivery 3"
          },
          {
            "type": "end",
            "arrival": 1693407720,
            "duration": 2171,
            "service": 0,
            "waiting_time": 0,
            "location": [
              33.946275,
              -118.385486
            ],
            "location_index": 15,
            "load": [
              0
            ]
          }
        ],
        "service": 320,
        "duration": 2171,
        "waiting_time": 4610,
        "priority": 0,
        "delivery": [
          2
        ],
        "pickup": [
          2
        ],
        "distance": 24304.5,
        "geometry": "iqjnElbvpU?nCj@?bA?Z?R?~C@fA?t@?\\?NAdA?L?xA?p@?pB?h@?N?\\?L?|@@t@ArBA|@B\\?X?j@?J?N@h@AZ?pAA|C?`DAP?z@?pA@dBAlA?`@?d@?^?V?nA?fB?fB?`A?Z?JAH?HAH?BALABADAFCFCNKHEFGNKLINGFADAPAJA??Z?@?r@@R@~DFzDFjA@rBB`@BvDDvABr@@`@?R@h@@n@?p@?^BF??_@@g@?U?U@_@@_@@_@Dw@@]bFFJ?hABz@@d@@xABT?xFJtABT?P?R@pBBt@@bA@lB@t@?^?Z?h@@X?v@?T?p@?R?j@?F?NAR?T?Z?VAj@?lA?^?bB@d@?l@@hA?^?J?fAAlA?l@@P?X?vA?xA?rA?jD?jC@~@?v@@R?pA?h@@lA?`@?d@@r@?\\?\\?X?V@L?L?`A?fB?R?nBAxA?\\?~AAn@?`@?JAX?dA?|AA~C?tBAp@@F?nA?J?H?J?J?P?H?N?F?n@Ap@?J?v@?dA@J?bB?x@?tB@lA?hA?f@?t@@x@?P?V?vA?d@?hAEf@?^AV?b@?|@ArCC|BClA?L?T?n@@B?f@@l@?h@?p@?dC?rB?`B?V?t@?hA?T?h@@R??w@?]?]?_@?_@?Y?S?U?iF?q@?sA?uA?w@?cD?oB?{@?o@?W?m@O?[HWF?@?AVGZIN??l@?V?n@?z@?nB?bD?v@?tA?rA?p@?hF?T?R?X?^?^?\\?\\?v@?dAAV?^?D?\\?F?NAX?t@?b@ArA?HCrC?|@?t@?NAT?L?NA^?dACvCApA?BCdGAp@?\\?T?^?\\?h@?f@?DAX?NQ?m@?eBA_@?Y?g@AY?eB?qC?gC?S?c@?[?w@AK?m@?gA?U?}DA[AO?U?UL[?Y@M?QAS?Q?gBAK?UO}ACK?c@?e@?G?SA{BA_A?_B@YAQ@W?c@A}@Ak@@IDIFO?c@Aa@?K?O?S?M?c@A]?@N@NDT@JBRBTDR@TJp@Df@DZD\\@NBTBL@PDTN`ADZF^BRBVHZF\\Jl@PfABv@Bx@HrD@|A?dD?vA?n@?n@?bB?v@A~B?rA?rA?jA?pD?H?fFAzH@bFAtACdAA|@Ch@Cb@GnAIjAEd@AVCPa@|DAFAHWrBKbAE^]nCQrAUzBCVKpAM|AIdBElAGnBA^CzB@lA?x@@nAAN?\\?`@?f@?J?P?`@?l@?R?f@@~@AV?b@?N?f@?Z@L?J?N?L?hF?jBBjL@pA?HQzBI`AEdACr@OzBC\\Cz@CVEj@Et@A~@A`B@^ARAJCHEDIDKBc@By@@W?oA?I?e@?c@?O?i@?]?kA?_@?}D@S?wA@eD?Y?s@?yD?{@AkA?u@?kCA]?U?e@?KAM@u@?g@@c@@_@?c@?Y?m@?eCA]AG?}BBW?_B?eA?Y?S?i@A_A?G?kBAa@Ae@?iB?cA@o@AQ@KDWJA@QBI?K@C?K?gA?M?G@I@E@KB@Z?L?T?Z?h@?PAP?d@?t@@pC?hD@zC?h@?b@@~@?jB?D?vO?p@?`A?x@@z@AJ@NAN@V?|@@|F?|HA\\?r@?`@@t@?l@?^?tA?rA?h@?vA?d@?p@?^?xA@n@?`@?\\?nA?d@?z@?X?\\?\\?f@?j@?vCAx@?zB?Z?~@?V?hB?^?z@@v@A`@?X?R?n@?lB?|E?x@?d@?z@?hA?x@?~@?p@?J?j@?ZKR?~@@t@?n@?j@?d@?F?\\ArEBzEEnD?j@AxE?xEU?o@?n@?T??`@?\\@n@?H?JAdAA\\?|@@^Al@?X?~@?z@@^?lA?f@?n@?l@?N?tB?V?~C@xAAz@@x@AZ?jA?r@AH@T?h@?dA@vA?V?lB@X@v@Cd@?^AL?h@?x@?r@AbB@pDHR?`@?X@|CAdA@tA?Z?R?X?L?RAlD?V?b@KT?V?n@@t@?vB?`BLV?T?b@?L?^?bA?l@?R?j@?|@@d@?d@?v@KRA`@@t@?\\?l@?R?b@?d@?N?X?T?t@@f@?^AL?J?L?P?b@@x@?`A?v@?z@?h@?h@?d@?z@?j@?j@?H?N?n@?x@?d@?\\?f@?X?rA@`@?j@At@@XA`@?r@@xA?V?`@A|@?T@nA?L?N?R?\\Al@?bB?bB?~@?R@J?d@AjA@f@?lA?bB?x@?\\@`@?z@?Z?L?`@?V?Z?Z?V?Z?v@?X?Z?T?T?Z?Z?Z?X?R?|@?dA?d@?f@?\\@lAA|A?l@?X?^@\\?~A?t@?z@?nA?T?f@?vA@j@Ap@?P?J@\\?R?N?P?N?Z?d@?j@@X?RAlA?n@?V?L?N?`@?n@?z@?X?N?tC?jD?J?|C?rA?fC?h@?L?t@?nD?\\@xDAZ?V?PAZ?PAJAP?HEl@Gr@?RAH?^Al@?p@?L?X?nB@bB?tA?\\?zA?rB?r@?^?jB?fD?P?|B?F?X?T?r@?L@fB?v@c@AgAA?aAz@?BA@A?E@uCc@?Y?C?ABA@@hB??"
      },
      {
        "vehicle": 2,
        "cost": 6989,
        "steps": [
          {
            "type": "start",
            "arrival": 1693385864,
            "duration": 0,
            "service": 0,
            "waiting_time": 0,
            "location": [
              34.016137,
              -118.253523
            ],
            "location_index": 17,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693386900,
            "duration": 1036,
            "service": 120,
            "waiting_time": 0,
            "location": [
              34.08395,
              -118.31864
            ],
            "location_index": 0,
            "id": 1,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693387567,
            "duration": 1583,
            "service": 120,
            "waiting_time": 2033,
            "location": [
              34.075525,
              -118.361588
            ],
            "location_index": 2,
            "id": 3,
            "load": [
              0
            ]
          },
          {
            "type": "pickup",
            "arrival": 1693389978,
            "duration": 1841,
            "service": 120,
            "waiting_time": 5022,
            "location": [
              34.076646,
              -118.376969
            ],
            "location_index": 10,
            "id": 1,
            "load": [
              2
            ],
            "description": "Shipment Pickup 1"
          },
          {
            "type": "delivery",
            "arrival": 1693396078,
            "duration": 2799,
            "service": 120,
            "waiting_time": 1622,
            "location": [
              34.094986,
              -118.300885
            ],
            "location_index": 11,
            "id": 1,
            "load": [
              0
            ],
            "description": "Shipment Delivery 1"
          },
          {
            "type": "job",
            "arrival": 1693399010,
            "duration": 3989,
            "service": 120,
            "waiting_time": 6790,
            "location": [
              34.000895,
              -118.204929
            ],
            "location_index": 9,
            "id": 10,
            "load": [
              0
            ]
          },
          {
            "type": "end",
            "arrival": 1693405920,
            "duration": 3989,
            "service": 0,
            "waiting_time": 0,
            "location": [
              34.000895,
              -118.204929
            ],
            "location_index": 9,
            "load": [
              0
            ]
          }
        ],
        "service": 600,
        "duration": 3989,
        "waiting_time": 15467,
        "priority": 0,
        "delivery": [
          2
        ],
        "pickup": [
          2
        ],
        "distance": 47755.7,
        "geometry": "uwrnEbkwpUSKkBcAoAq@aB_AeAk@a@SsA{@{A{@g@a@a@_@mAeAmAkAmAgAmAiAoAgAsAgAUS_BoAkAy@w@m@SOGE{BcBqAaAOKm@c@[Ww@m@GHc@h@IJIJOTs@pAuAdCINS^OZQXO\\_@bAEv@CNKf@Sz@GTMb@Y~@Wx@?@GRO`@O`@Ul@I^]p@Yn@Sb@GVADk@nAq@nBc@tBgBzD_AtBSb@Q`@OZO^KRaAdCUl@e@pAUp@GROd@Md@M`@K^GTGVOj@CJKd@Sx@I`@SdAQv@Ot@S|@Ml@Oj@Kb@K`@St@KXGRITIVMZKXEJIRMZKTGNGNy@dBYn@S`@Ud@MVYn@o@tAO^MV]v@a@|@[v@Q\\u@~@CFMPGPOZWb@KTIHGHWX]^_@^GHIJKNe@v@e@v@]l@CDKP]p@_@t@Wf@c@z@EJOXk@hAe@h@OVQZW^ADOTQRIHEDQJOHGB[DS?[Am@Em@GSAI?[@WBUDSFQJOJ]`@IHSPSPUPMHk@b@WRYPWNSHYDO@Q?SCWCk@OcBi@e@M_@Mg@Ie@U[Oc@Wc@WWS[UUOSS[Wc@_@][QSQQ[_@gAyAQUQYk@{@_@m@S]Wc@}@aBYi@]m@AEQ[Ue@S]KSGMWg@Wg@_@u@Q_@_@s@[k@EIGQa@u@S]oFgKIUS_@[o@uAmC[m@GMwBgEUg@]o@ACOWSa@i@aAMWi@cA_@m@o@_AUYY]QSW[QQQSaAaAWU_@Y{DwCUSc@]KGWSKIOQQS_@W_Ay@QQWWq@k@KKu@s@e@c@SQqAsAq@q@MMUUMO[]aAy@e@g@QSa@a@QQSS]_@}B{Cy@eA}@iBS_@KQSYe@q@q@cAoBgCSYaAwAUUWQMIQGYKGAEAGAWCOCI?M?E?]Eo@EWBSBODC@QJMHC@QPOTILILwA`Da@|@yAjCYf@e@fAQX]d@_@d@a@l@_@j@QZ]j@MROVU^_@h@S^QXOXOVOVEJEFO\\Q^Qb@KTOZKVUn@Qh@Up@Sp@W|@YhAAFoA|EUz@ADcAdE{@lDOf@Qp@c@dBGTI^a@bBIZQp@Qr@CH_@xAw@jCCDGVUn@Qd@CHGPM\\_EnLEJ}AvEiAxDMf@Sh@w@fCUr@EL_@`Ae@jAMVMZ_@|@Wl@Up@KZWp@GXOh@Sr@Oj@K\\I^K`@IXGZK`@EVKj@Kf@SdAGTShAc@xB{@hEKh@UlAg@fCCJGZWrACN[dBIb@W|Ak@fEOhA_@`CG`@c@|CALEP_@hCIn@EVIl@UjBGh@QxAGh@Iv@KdAMhAOnACRKn@QbAUhAQz@K`@Uz@W|@_@bAe@lASf@uBvEGLy@pBO\\gApCaAfCc@nAYt@c@jA_@dAOb@GNGNs@nA[j@a@v@Uf@_@z@Yj@c@|@IPIJGHIDMBE?@v@?b@?b@?p@?RA`@@v@?j@?J?X@nB?h@?r@?pA?N?B?P?^?b@?n@@Z?F?N?L?nB?l@?f@?n@?X?hA?j@?f@?n@?j@@t@?n@?f@@j@?xB?r@?x@?hD?l@@lA?R?@?N?|@?n@?t@?`A?\\?TAl@?J@d@?R?j@?lA?d@?d@?T?pA?`@?f@?T?R?x@?T@x@?b@?p@?x@?X?pA?xA?X?d@?^?b@?n@?j@?\\?hC?\\?zA_B@A`@@B?@?@?@DDBB@@@B?P?R?N?b@?d@?J?K?e@?c@?O?S?QACAACCEE?A?A?AAC@a@~AA?r@nJCxO?`B?|B?xEAhB??`@?f@?l@?t@?l@?b@?d@?l@@tB?n@?l@?l@@hB?n@?l@?vB?j@A^?T?R?d@?pA?R?bBAf@@T?v@?~@?b@AbC?n@?T?F?F?H@L?DDb@D\\DRDN?BHXJVHVFRJ\\@FH^D`@?B?B@T@L?TENAX?V?LAPCVCVWnC[dDEf@CXCZARAp@?tC@nA?JAN?LA\\DNA~@?nA?^?^AXANANAN?JAJ?N@r@@hA?d@?d@?x@?tC?d@?x@@nA?Z?h@?r@?p@?X?p@?l@@b@?`@?l@?n@?tB?r@?n@?|@@fBAxE@n@?d@?T?v@?t@?p@?v@?L?d@?X?b@?`@?r@?d@?x@@`@A`@@`A?d@?fA?^?\\?j@?b@?xA?j@?b@?L?d@?f@?dA?b@?`@?f@?f@?T?nAAh@?`@?pA?b@?d@?`@@`@?T?f@?|@?f@@l@?^?b@?|@?^?\\?^?t@?h@?Z?\\?f@@X?L?X?b@?x@?l@?b@?f@?rA?^?R?h@?fA?b@@h@?lA?f@@P?\\?`@?h@?pA?L?T?b@?R@R?^?V?jAt@?\\?T?F?G?U?]?u@??n@?L?Z?X?N?T?R?Z?d@?d@?n@?T?N@n@?j@?b@?n@?h@?n@?d@?h@?`@?H?R?`A?l@@t@?b@AX@R?R?R?^?`@?v@@f@Aj@@f@?^?n@@d@?l@?d@?\\?\\?f@?|@?j@?j@?x@?f@@`@?b@?\\?bA?d@?h@@`@aB?cI??lE@pE@xE@`C?~A?^f@?N?P?zA@d@?Z?hA?@hAAiAP@v@ALAVA?q@AI?O?k@?W?Q?G?_@?M?a@?]?m@?y@?Y?K?W?[?a@?u@?e@?m@?e@?k@?q@?i@?a@?c@Aa@?i@?e@?cA?]?c@Aa@?g@?y@?k@?k@?}@?g@?]?]?e@?m@Ae@?o@?_@Ag@@k@Ag@?w@?a@?_@?S?SAS@Y?c@Au@?m@?aA?S?I?a@?i@?e@?o@?i@?o@?c@?k@Ao@?O?U?o@?e@?e@?[?S?U?O?Y?[?M?o@?kA?W?_@AS?S?c@?U?M?qA?i@?a@?]AQ?g@?mAAi@?c@?gA?i@?S?_@?sA?g@?c@?m@?y@?c@?Y?MAY?g@?]?[?i@?u@?_@?]?_@?}@?c@?_@Am@?g@?}@?g@?UAa@?a@?e@?c@?qA?a@@i@?oA?U?g@?g@?a@?c@?eA?g@?e@?M?c@?k@?yA?c@?k@?]?_@?gA?e@AaA@a@Aa@?y@?e@?s@?a@?c@?Y?e@?M?w@?q@?u@?w@?U?e@Ao@@yEAgB?}@?o@?s@?uB?o@?m@?a@Ac@?m@?q@?Y?q@?s@?i@?[AoA?y@?e@?uC?y@?e@?e@AiAAs@?O@K?K@O@O@O@Y?_@?_@?oA@_ADK@K@K@Q?W?K?mA?YAy@?c@?k@@U@U@]BYN{ALqA^wDBSDq@@Y?QASGM?UAMAU?C?CEa@I_@AGK]GSIWKWIY?CEOESE]Ec@?EAM?I?G?G?U?o@@cC?c@?_A?w@AU@g@?cB?S?qA?e@?S?U@_@?k@?wB?m@?o@AiB?m@?m@?o@AuB?m@?e@?c@?m@?u@?m@?g@?a@?y@?uA?S?aB?I?kA?M?eAAqA?gA?eA?mA?c@?Q?kAIAYCY?OA}B@mE?g@?wA@iA?S?gB?mA?mG@uD?_@?cA?Y?]?]??c@Ay@?U?y@?S?U?g@?a@?qA?U?e@?e@?mA?k@?SAe@?K@m@?U?]?aA?u@?o@?}@?O?A?SAmA?m@?iD?y@?s@?yBAk@?g@?o@Au@?k@?o@?g@?k@?iA?Y?o@?g@?m@?oB?M?O?GA[?o@?c@?_@?Q?C?O?qA?s@m@?aA?y@?QAM?U?S?U?O?C?I@K@A?G?wAAc@?U@oA?yC?_@@_B?kD?iJ@W?eA@eB?eB?wB?c@?{A?{A?m@?wD@iB?@z@?R?SA{@hB?vDAl@?zA?zA?b@?vB?dB?dB?dAAV?hJAjD?~A?^AxC?nA?TAb@?vA@F?@?JAHAB?N?T?R?T?L?P@x@?`A?l@??i@AoB?Y?K?k@Aw@NCJEHENQRSPSJKJMFGBAFKHKHMPWLUXk@FMHOFKJSHQP]Re@NYLYb@y@P]f@oBBG\\y@P_@J[f@sAJYDKDORk@DKX{@^cATi@Xq@Rc@BKNY`@}@Tg@Zo@\\u@^w@Rc@Zq@Ri@?CPi@L_@Ry@Nk@P}@V}BH_ABm@DkADaAJ_D@QBq@B]Dm@NiBBYJcALaARuA\\cCPiATcBPoA@KJo@Fa@LaAf@mDVgBLs@Js@FSRsABKN{@TeAHe@RaAJc@VuABOz@mENs@P}@P_ARgANq@Nw@Ji@Jg@Ps@Nm@No@Nk@Rw@\\gATq@HUVu@|@{B|@wBb@kAPi@`@kARs@Vs@Pq@La@DOv@iCn@mBl@gB~DoLL_@L[Z}@Xu@`@oAj@wBBS`@}A\\sAZqANm@Pq@H]HY@G`@aBbAaEZoAXiALi@T}@Ru@R{@Nk@@ERw@Ty@Nm@Pm@Ng@Tk@Ri@To@Vm@Zs@Xm@DIFMJMzAmCr@gA`@s@Zk@|@uAFKT]l@aAzA_CtAqBNWNS\\e@RUv@y@^]TSb@_@`@]f@c@TQDEFGFCLMLKFEZWfA{@jA_A~AqADGBCFGFELKNKb@[\\[ROJKLOPOV]TURUp@s@RYZe@R[LSj@m@v@mAXc@Va@NS~AgCb@u@r@oANWVe@NYHQFIFOTa@NYP[R_@R_@LSLWFMDGDIDGDIxAoCTa@FMZm@BE^s@HOXg@HOtByDBGHOVk@HQHSJUNc@J_@BKZiCBWDe@@Q?Q@u@Bu@AeA?c@Ai@@i@?[BmAHiD@SBk@HyB@W@U@UDm@Do@BW@MD]JqAL{AJqABYBYDo@BS@U@OFm@Bm@@I?I@K@QD_@@IBY@KToBH{@Hw@H_AD_@LaBPu@BMBIHm@DSH]Ni@Ng@Ri@Vk@BGR]Xc@Za@\\_@^]ZWLIJGLILIJGNGLGd@Qh@U|@_@p@WJELGPGFCb@Q^ORIbBo@~@Y|@W`AUHCNCJAREDA~@O`AM`AIB?x@GTAJAb@ApBCp@AL?N?h@?`@?fACfA?t@A^@h@@`@@ZBP@T@\\BZD\\BZDZDbANr@Ll@HvAXl@DZ@pA?t@Af@CRArAID?n@CZAL?n@@v@Bb@DhAJ`@DVBv@Dn@@n@?j@EPAHAp@EPCl@Gd@KDAh@QLE^K`@OBALGJGb@Ud@WNIDCNIHG@?jA_A\\YVUZ[BCRQ\\]TUDGZ]d@i@Za@^g@X_@RYV_@Zg@Xe@Zg@FO`@s@Rc@b@}@Xo@Vo@r@mBNa@L_@d@wA\\cAPc@V{@BEZ{@f@}Al@eAZs@^u@BGRc@BGR[TYVWDELMBCDCVSFEJOJSJ[DMl@kBd@cB\\gANg@jB`AlGdDj@VRm@Pe@Nc@Vw@h@}ARm@Rg@nAuDNFTNn@`@^Tj@VNHJFXNZNZPj@ZPH~@f@hAj@lAl@jAl@X@X?J?Z?ZAP?h@Ah@AZAXCHAHCLEPGPIXMr@_@b@S~Au@ZOPINGPKRMHEHGJIFKHKN[JUJQBGHMBGFOFIHKLKTMLGL@RANAHAT?n@?j@AHALANCXEHCNETINKrAo@XMn@Sl@SXIxBm@dA]HEv@]fAm@ZSXUXSRQX[z@y@d@a@TQZSVO\\ONEj@Qb@I@?VCNCH?b@C~@A^Al@Ar@CFAHAHIfAAhAAjBA\\?T?PAd@?d@Ap@?dCAZAh@?PAxA?T?f@?fCC\\?fAAf@A^?dFEL?lAAP?z@A@\\@b@?@@pA?`@@|A?R?b@?\\@rA@TmBB[?A?e@ACA?AEaDCuA?K?kCBGHGPAVK??"
      },
      {
        "vehicle": 3,
        "cost": 7548,
        "steps": [
          {
            "type": "start",
            "arrival": 1693396392,
            "duration": 0,
            "service": 0,
            "waiting_time": 0,
            "location": [
              33.940407,
              -118.265196
            ],
            "location_index": 18,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693397700,
            "duration": 1308,
            "service": 120,
            "waiting_time": 0,
            "location": [
              34.037925,
              -118.459842
            ],
            "location_index": 5,
            "id": 6,
            "load": [
              0
            ]
          },
          {
            "type": "job",
            "arrival": 1693398290,
            "duration": 1778,
            "service": 120,
            "waiting_time": 310,
            "location": [
              34.004364,
              -118.42117
            ],
            "location_index": 6,
            "id": 7,
            "load": [
              0
            ]
          },
          {
            "type": "pickup",
            "arrival": 1693399596,
            "duration": 2654,
            "service": 120,
            "waiting_time": 0,
            "location": [
              34.01878,
              -118.317919
            ],
            "location_index": 12,
            "id": 2,
            "load": [
              2
            ],
            "description": "Shipment Pickup 2"
          },
          {
            "type": "job",
            "arrival": 1693399918,
            "duration": 2856,
            "service": 150,
            "waiting_time": 1382,
            "location": [
              34.000215,
              -118.318803
            ],
            "location_index": 7,
            "id": 8,
            "load": [
              2
            ]
          },
          {
            "type": "delivery",
            "arrival": 1693402142,
            "duration": 3548,
            "service": 120,
            "waiting_time": 58,
            "location": [
              33.996658,
              -118.261708
            ],
            "location_index": 13,
            "id": 2,
            "load": [
              0
            ],
            "description": "Shipment Delivery 2"
          },
          {
            "type": "end",
            "arrival": 1693402320,
            "duration": 3548,
            "service": 0,
            "waiting_time": 0,
            "location": [
              33.996658,
              -118.261708
            ],
            "location_index": 13,
            "load": [
              0
            ]
          }
        ],
        "service": 630,
        "duration": 3548,
        "waiting_time": 1750,
        "priority": 0,
        "delivery": [
          2
        ],
        "pickup": [
          2
        ],
        "distance": 60342.2,
        "geometry": "q~cnEftypUr@?hD@xA?h@?X?PAJ?N?h@?^?dB?X?lA?rA?|C?x@?nB?jA?X?jA@`A@B?zBAbB?`@?ZAf@?b@?R@d@?^?d@?L?@kB?W?k@?c@?w@?y@@mEAiA@cADeF?m@@yA@yE?G?IBO@OBINk@JSJSf@s@~@qAf@q@b@m@d@s@BGDIBG@GDO@M@GD[?M?G@g@@qD?[?W?M?_A?K?KL?J?d@?P?L?N?T?l@?@N@NDT@JBRBTDR@TJp@Df@DZD\\@NBTBL@PDTN`ADZF^BRBVHZF\\Jl@PfABv@Bx@HrD@|A?dD?vA?n@?n@?bB?v@A~B?rA?rA?jA?pD?H?fFAzH@bFAtACdAA|@Ch@Cb@GnAIjAEd@AVCPa@|DAFAHWrBKbAE^]nCQrAUzBCVKpAM|AIdBElAGnBA^CzB@lA?x@@nAAN?\\?`@?f@?J?P?`@?l@?R?f@@~@AV?b@?N?f@?Z@L?J?N?L?hF?jBBjL@pA?H?zD?hA?fC?`@?r@@`@?ZAlBAdE?t@?t@?R?bC?xA@`ABhABdABl@BT@R@R@^B\\@VBP@XBT@N@NDX@LBX@LHn@Jx@NhADf@XjBXpBr@bFT~AL~@BLDVl@pEn@tEBN@BvBfPN~@L~@b@bDXtBR`BHt@NhBPb@@H@D?F@JB^BXF~@@HBj@@^@XDp@DpA@p@BjB@^@`CA~B?fA?V?r@?TA~@?z@?jBAhA?rAAxA?nAAbB?nB?|@A`B?x@?\\?tAAz@?rA?jA?|B@`A?f@@tABpA@ZBnA@n@@h@BpA@d@@f@Bz@BxA@X?TBr@BnABjA?F?^@`@Bt@Bv@@h@@n@B`@DrAFxBB|@D|AJlEJ|D@NBdADpB@r@?n@CbAAb@AZEjACl@Gt@MrAIn@Gf@Mv@Ih@UlACHCLEPK\\YhAGNUr@c@jAe@hAQ`@O\\KRYh@U^S\\a@n@[f@]f@Yd@S\\_@j@[d@i@x@QVa@n@{@nAGLc@n@m@`AW`@{@pAEDIHGDCBC@CDs@fAOVOV_@h@W^uBrDOXKRUd@OXWh@Yj@QZMT]z@_@x@Uj@GNAD_@|@Qb@Un@Wv@Sp@Ql@Qn@GVW`AKl@Kb@GXCPKf@If@CJOz@AFIj@Mx@OfAEf@Ip@Eb@Et@Ep@Cb@Cd@A`@Ab@?VAfAB`A?d@?R@f@@`@Dl@@`@B\\D`@Fh@H~@BNL|@PfAJd@Ln@F\\p@bDH\\TfADd@F~@n@xDVdBNh@DTHl@Hl@H^Jz@Df@?VJbAHt@R`BHt@J|@D^BVBVBT@PBP@V?R@P?VAXAXAXATCRALCRETENCNENENGPGNO`@KRU^GJQTMLMNMJIHEDMHMJMFGDKFOHSHUFUFg@H[DYBSBc@D]@YBc@@k@Be@?o@BaBBiA@y@Bi@?k@@m@@w@@g@@{@@eCBuA?eB?oA?G?yD@sBVoA?kB?W?mC@m@A_A@}@?_AAg@?q@?gA@m@?Y?cB@oA?cA@_@?gAAeEFU?WB_ADkAJo@DmAJ[D[D_@FI@e@Jo@Jy@Nc@FQBq@LG@K@s@XsARu@FU@o@Fw@D[Bi@@u@Be@?{A@w@AG?c@?O?}AAcBAsA?iDAcECoECiEAsA@]@cAFU?m@EI?MAO@i@JkAN}AZ]Fu@Nm@LQDQDYFc@JqAVyAl@a@J{@PeAR}@PyAZ{@P_A\\s@X[Lc@T[PYRSLUNKHUPYVKHKJ_@`@ONSRIJILMPGHKLKPILMROTGLGLGLILELKPGPQ`@m@zAc@hAO\\Ul@Uj@e@jAs@fBQ`@a@fAQ`@o@bBUh@Wj@ITGLELGLGNe@fAO\\Yl@Uf@S`@OZYj@s@tAYj@y@dAi@fAo@rACHk@lAYp@g@jAUl@Wp@KVWn@[v@s@hBWr@u@nBYr@KXUp@c@jAa@fAa@fA]bA_@bA]z@q@hBc@lAi@vA[z@aAlCc@pAQb@M^IPITOXKRMXMTOVW`@IN[`@GJKL]`@KLGFCB_@\\]ZMLMHYVg@\\c@ZsBxAoA`Ay@l@g@\\[TGDYTIFEBEDiAx@}@p@y@j@WPGFWRu@h@cCfBaAr@k@b@oA|@m@b@uAbAgBnAaChBi@\\[RKFMHEDGBCBIFKHUNUPGDGDYTu@bAgBnA[VOLKFo@d@wDnCaAr@gEzCcCdBoA|@_Ar@cAt@m@`@gAx@MJg@^OJMHKH_@X{AhAg@`@aBjAw@j@wB|AkAz@k@d@u@f@OLe@Za@XaAt@qA`Aa@Xw@h@g@`@i@^y@l@iAz@o@d@]TOLIFa@X{@n@SNu@h@a@XgAz@_@VeAt@QLYT]VWPsAbA_Ap@mAz@cAt@eAv@qA~@{@n@QNGDaAr@]VSLqDlCgBnAk@^_@Xk@b@cAx@MH[PsAh@{B`BwAdAaAr@{AfAiAx@MJSN]TUPUPOJ{@l@o@f@q@d@o@d@WRu@h@c@ZMJg@^]TqA`Ai@^m@b@iAz@i@`@o@d@eAt@s@j@uAdAq@d@a@\\u@h@}@p@m@`@_@Xc@\\QJYT[T_Ar@UPu@h@_Ap@QNKH}@n@{@n@y@j@u@j@u@h@q@f@e@Z{@n@[Vi@`@mAz@kBtAa@Zw@j@_BlA]Vo@f@c@ZuB|@}DbCUJa@Zq@`@q@`@QN[PwC|AIBmBdAWLe@Tc@V]TEDSP]^a@f@_@d@[f@Yf@Wf@Sh@IVGPEHGTCJAFCTIVCJIb@Gh@Gh@Cl@Cn@?p@?t@@H@j@Dl@Dd@?DHb@N`ADTd@rCFb@LnAP~ANzAB\\XjC\\jBf@hGNrAJfAFb@Dd@VxBBJ?DFZHh@BVFZDPBRDPNfALt@FZBJHh@Hf@F\\XzANtCBXLbAJv@LdAJ~@DV@RBPBP@N@J@P?J?LAD?BAHADAFCBEJGHGFSd@OL_@Xo@d@]\\ONILMPQT[b@OPcAlAW\\q@x@}@hAORGF{@`AMRQTWXQTILMN_@d@m@t@W`@W\\]b@[\\MPOPMNOPKLEFo@x@GHOPCDOP[^o@x@gArAeBrBQR[^q@t@s@|@{@hAyAnB}@jA_AhAq@x@KLcAjAEGUc@Tb@DFbAkAJMp@y@~@iA|@kAxAoBz@iAr@}@p@u@Z_@PSdBsBfAsAn@y@Z_@NQBENQFIn@y@DGJMNQLONQLQZ]\\c@V]Va@l@u@^e@LOHMPUVYPULSz@aAFGNS|@iAp@y@V]bAmANQZc@PULQHMNO\\]n@e@^YNMHELKNKr@g@FGVQJKLIRQh@_@M]CMc@aBMm@Sw@Me@Mg@Ka@Me@GYKa@AGI_@IWOw@I]GWQy@EQq@_CIe@Ii@Mo@EQ_@yBKy@Im@AIEWAKUuBGo@Is@AMWeDI}@WiD_@gFSoCMcB@}@@I?MGqACk@KwBI_BA_@?Y?[@YBS@QBQBSBODQDOFWHSHUJSFOJQJQFGDGLKLMp@i@bAyANMdAw@|@q@d@]xAeAtAcAhAw@pA}@`@Y~@s@z@m@FGrA_Ad@]dAu@tAcAtAaAlA}@`@[xFeEvDoCjBuAx@o@ZUJGf@]VS\\WJIROFEd@]r@i@pByAPMdGmExBaBtB{AxB_BtB}AzAiAf@]`As@|BcBbDaCz@o@XSVQRMFGFCFArAc@tA_Ax@e@VMLGTGHAL@PBHDHDFFJJJFZl@BFLXLTj@a@`As@JG~DyChAy@^Yh@a@`@t@JTR^NZDHXh@NX^v@R`@JRP\\LXVd@R`@Vf@NZLVP\\R`@R^NZLVXh@R^NXJTHLHNJRLVVh@R^LIMHS_@Wi@MWKSIOIMKUOYS_@Yi@MWO[S_@Sa@Q]MWO[Wg@Sa@We@MYQ]KSSa@_@w@OYYi@EIO[S_@KUa@u@_@s@MUKUKSIQS][m@IMKOIOKQMUM[Se@IQIOIQKSKQYm@]VMJYPKHGDMJ_@V]XGDWRQLu@j@c@\\o@b@]VKFSNQLMJMFLZPZBHHPBV@DHVBR?V?FCNAFEJILGJKJOL]Xo@f@]d@w@bAMJSN]TUPUPOJ{@l@o@f@q@d@o@d@WRu@h@c@ZMJg@^]TqA`Ai@^m@b@iAz@i@`@o@d@eAt@s@j@uAdAq@d@a@\\u@h@}@p@m@`@_@Xc@\\QJYT[T_Ar@UPu@h@_Ap@QNKH}@n@{@n@y@j@u@j@u@h@q@f@e@Z{@n@[Vi@`@mAz@kBtAa@Zw@j@_BlA]Vo@f@c@ZuB|@}DbCUJa@Zq@`@q@`@kAb@uChAo@Rk@P_@H]DQ@G?Y?YAYE[IYKWMWQUSWUQUQWMYK]IWIa@Ko@Kk@Iq@MiAMyACo@A_@Ay@Ek@QuB?wN?UAaI?k@?a@Ae@?W@mAAsDAmE?wA?i@?{@Au@?C?g@?u@CsB?_@@s@?gAA_@@g@?q@@u@?W@W@U@]@UBc@B]BYBU@QBQHk@Fo@DUTaAFYDSFWH]FUFWH[Jc@Nk@@ELe@HYH]FUNk@FUDODSDODQBODQDSBQDQDSDYDa@Hm@BUB[BYBYDe@@a@FmADcAF{AJqCBe@D_ABw@Be@Bi@?G@QBk@Bc@Bs@D}@DaAF}ADs@Be@B}@DaADkADkAB_@PaFBYD_A?OFuABk@HaCDi@?KLaDFyA?GBy@?]?_@?[?{@AKCaAEaAG_AGk@CUK_AO_AO_AS}@U}@U{@Y{@GOIQIW]w@i@kA[m@GMMWGMMWEKe@_AIMCGAEIO_@s@Ue@m@kAi@iAUc@wC_GUe@eCcFe@_Am@kAEK{A}CiCiF[o@c@}@gA{BUc@_@{@IS_@_AIUWy@GSMa@Kg@Kc@CKMw@Ky@Iy@Gy@Ey@C{@?y@?{@@g@@QB}@BQ?KBQ?GHu@BUBSBSN_AD[J{@Jy@Js@D[NmAJu@Hq@Jw@TiBL_AJs@B]BM@G@GHo@NkA\\gCNmAHo@Fk@ReBJ}@F_@@KFe@ZkCBKBWHk@XyBHm@Fg@X{BHg@NcA`@gDLu@@ONaAL}APeBD{@Do@FkADaABi@@u@BeA@_A@yACqCWwJCs@Aq@Au@AM?y@GwCAw@A_@CyAC_EUeMK_J?G?YAI?MEkCGoDCwAOgIC_BCkAAi@EqBA{@AeACy@EkCCs@MeHAa@?EAm@Ao@As@Cm@AiACu@IqEAWCu@CgAE{BIcEMoHAa@EeB?a@UmMEoBEyBC}BGmCCqA?OCu@A{@AYEyAAYK}BK}AAYc@mFIcAKoAIcAGw@[iEUsCIcA?wBGuBC{@Cs@?KEsAEgBGcBEq@r@ANAH?XCJE~@?rA?T?dB?vAAP?jA?b@?rA?h@?p@?`C?pCAb@?T?R?j@?b@?L?l@?v@?lA?d@?|@?jB?dDA`@?z@?n@?h@?vAAf@?L?h@?j@?^?T?X?r@?n@?rB?h@AhA@nA?fE@R?fH@X?dA?bA?N?b@?J?L@F@F?HB??D@FDHBHFFD\\VTPJHFBDBHBFBJBLBPBH?B@N?@?l@?|@?pD?nJ?nRAj@?tA?Z?T?L?L?T?T?pB?v@?dA?zB?nB?tBAxB?hF?`B?\\?fB?^?r@?RAP?j@CLA^Cf@CNAlB?nF?P@zAAh@?B?lA@?`B?`@?a@?aBAgB@eB?_@?kAAY?e@?m@?[?qA?eA?e@?c@?iA?aAAk@@e@?gAA}I?g@?a@?y@AgG?U?e@?I?u@?U?[?e@?]@{D?yA?g@?k@?mH?i@?s@?g@?e@C}H?i@?e@?_H?g@AM?u@p@?V@R?TAfA?vA?z@?b@?f@?r@?rD??mLA{H@sB?oB@}H?eB@gB@k@?eA?eB?Sv@?^??i@?_A?K?iGAcFA_CAgC?uCGyS?q@?U?_A?eAA]BYCgC?O?y@?MAG?I?S@i@?_@?gG?_@?u@?Y?k@?a@?O?a@?uB?[?k@?wK?s@?e@A]?w@?w@?g@?e@?_@AmBAiBAaI?_@?y@?U?y@?EAI?A?iDA_BA_BC_H?i@?S?W?_A@gA?o@AMAwP??"
      }
    ]
  },
  "status": "Ok",
  "message": ""
}

Following is a visual representation of the initial locations of tasks, vehicles and the routes suggested after optimization as per the given constraints.

Analyzing the Solution

Looking at the result we can observe some interesting insights:

  • summary section:

    • We get an overview of the overall result with a total distance of 141270 meters covered within a total duration of 10502 seconds (~ 3 hrs) to complete all the assigned tasks.

    • Optimizer was able to assign all tasks using 4 routes with a total cost of 21899. This cost is in seconds as we did not explicitly specify any travel_cost, so the solver went with the default setting of duration.

    • Other fields in summary provide details about total service time of all the assigned tasks, total waiting_time for the assigned tasks among other details.

  • routes section:

    • It can be observed that the max_tasks constraint for all vehicles has been successfully implemented in the solution - vehicle 1 is taking care of jobs 2, 4 and 5; vehicle 2 is assigned to shipment 1 and jobs 1,3 and 10; vehicle 3 is assigned to jobs 6, 7, 8 along with shipment 2; and lastly, vehicle 4 is assigned to job 9 and shipment 3.

    • In our example, the cost is calculated using the default metric - duration. Therefore, all costs in the solution are in seconds. Let’s take a look at the costs for each vehicle:

      • Vehicle 1: This vehicle was configured for both fixed and per_hour type of cost. When used, this vehicle incurs a cost of 1000 seconds along with additional 5400 seconds for every hour of operation. The total duration for which this vehicle operates is 794 seconds (~14 mins) and hence the per_hour cost for this vehicle comes out to be 1191 seconds. The total cost of the route, 2191 seconds, is then calculated by adding per_hour cost to the fixed cost of using the vehicle. Overall cost incurred for this vehicle is less than 5000 seconds, as specified by the max_travel_cost constraint.

      • Vehicle 2: This vehicle was configured for both fixed and per_hour type of cost. When used, this vehicle incurs a cost of 3000 seconds along with additional 3600 seconds for every hour of operation. The total duration for which this vehicle operates is 3989 seconds (~72 mins) and hence the per_hour cost for this vehicle comes out to be 3989 seconds. The total cost of the route, 6989 seconds, is then calculated by adding per_hour cost to the fixed cost of using the vehicle. It looks like that this vehicle did not adhere to the max_travel_cost constraint and incurred a total cost of more than 5000 seconds. But, it is important to note that max_travel_cost does not consider fixed cost in its calculations. The max_travel_cost applies to the travel_cost only, which in this case is the per_hour cost of 3989 seconds, which is well within the given cap of 5000 seconds.

      • Vehicle 3: This vehicle was configured for fixed cost considerations only. When used, this vehicle incurs a cost of 4000 seconds. The total duration that this vehicle operates for is 3548 seconds (~1 hr). The total cost for this vehicle is the sum of fixed cost and travel_cost, which comes out to be 7548 seconds. Similar to vehicle 2, the total cost for this vehicle also exceeds the given cap of 5000 seconds, but that can be attributed to the higher fixed cost. The travel_cost incurred is 3548 seconds only.

      • Vehicle 4: This vehicle was also configured for fixed cost considerations only. When used, this vehicle incurs a cost of 3000 seconds. The total duration that this vehicle operates for is 2171 seconds (~36 mins). The total cost for this vehicle is the sum of fixed cost and travel_cost, which comes out to be 5171 seconds. Similar to vehicle 2 and 3, the total cost for this vehicle also exceeds the given cap of 5000 seconds, but that can be attributed to the higher fixed cost. The travel_cost incurred is 2171 seconds only.

      • It is recommended to also refer to the Vehicle Costs example to understand more about cost calculations.

    • The total cost of solution, 21899 seconds, is arrived by adding up the costs of each individual route.

As demonstrated, NextBillion.ai’s Route Optimization Flexible API works within the provided constraints and suggests the best solution within those constraints. We encourage you to try out different configurations of vehicle or task locations, time window constraints, skills, number of tasks and explore how different routes, task distributions are returned when different scenarios are presented to Route Optimization Flexible API.

We hope this example was helpful. Check out some more use cases that Route Optimization Flexible API can handle for you!