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Limit maximum driving time

The maxDrivingTime sets the limit on the cumulative time a vehicle can spend actively driving during a shift, independently of other activities like service time, waiting time, or break time. By using this property, you can ensure that your fleet operations adhere to such regulatory frameworks as European Union drivers' hour rules that mandate that a driver must not exceed a specific number of hours behind the wheel per shift, regardless of shift duration.

Limiting the maximum shift time is also potentially beneficial for fleets where vehicles operate over a wide geographic area. In such cases, even a short shift can accumulate significant driving time. Because of that, the maxDrivingTime constraint might prevent the optimization algorithm from assigning too many geographically spread jobs to one vehicle in a single shift.

📘

Note

Understanding the distinction between shiftTime and maxDrivingTime is important for accurate compliance modelling. The shiftTime parameter limits the total working time of a vehicle type (driving + serving + waiting + breaks), whereas maxDrivingTime targets only the driving component.

For example, a vehicle with a 12-hour shiftTime but a 5-hour maxDrivingTime can spend the remaining shift time on service and waiting, but cannot drive beyond five hours even if the shift window would allow it.

For limiting the maximum shift time for a vehicle type, regardless of the total shift time, see Limit maximum shift time.

You configure limits.maxDrivingTime as part of a vehicle type setup an integer value in seconds, as shown in the following example:

{
  "fleet": {
    "types": [
      {
        "profile": "car",
        "amount": 2,
        "capacity": [
          50
        ],
        "costs": {
          "time": 0.002,
          "distance": 0.001,
          "fixed": 10
        },
        "id": "vehicle_1",
        "shifts": [
          {
            "start": {
              "location": {
                "lat": 52.531,
                "lng": 13.38461
              },
              "time": "2024-06-24T08:00:00+02:00"
            },
            "end": {
              "location": {
                "lat": 52.531,
                "lng": 13.38461
              },
              "time": "2024-06-24T20:00:00+02:00"
            }
          }
        ],
        "limits": {
          // Maximum driving time for the vehicle type (5 hrs)
          "maxDrivingTime": 18000
        }
      }
    ],
    "profiles": [
      {
        "name": "car",
        "type": "car"
      }
    ]
  }
  // Remaining problem components...
}

Limit driving time across a fleet with multiple vehicles

As a demonstration of the maxDrivingTime feature on a practical example, consider a depot in Berlin with two car-profile vehicles, each with capacity of 50 and a limit of 18,000 seconds (five hours) of driving time per shift that is running from 08:00 to 20:00. In this sample use case, the fleet needs to serve 49 jobs that are spread across the greater Berlin area.

By specifying the maxDrivingTime constraint, you make sure that if a vehicle exceeds the cumulative driving time required to serve all the jobs, the optimization algorithm splits the jobs between the two available vehicles.

Any job that would push a vehicle past its driving time limit is reassigned to the second vehicle. If both vehicles exhaust their respective limits before completing all jobs, the remaining jobs appear in the unassigned list in the solution.

See the full problem configuration in the following section.

📘

Note

Service time (duration: 300 per job) does not count toward maxDrivingTime; only road travel time does.

Click to expand/collapse the sample JSON
{
  "fleet": {
    "types": [
      {
        "profile": "car",
        "amount": 2,
        "capacity": [
          50
        ],
        "costs": {
          "time": 0.002,
          "distance": 0.001,
          "fixed": 10
        },
        "id": "vehicle_1",
        "shifts": [
          {
            "start": {
              "location": {
                "lat": 52.531,
                "lng": 13.38461
              },
              "time": "2024-06-24T08:00:00+02:00"
            },
            "end": {
              "location": {
                "lat": 52.531,
                "lng": 13.38461
              },
              "time": "2024-06-24T20:00:00+02:00"
            }
          }
        ],
        "limits": {
          "maxDrivingTime": 18000
        }
      }
    ],
    "profiles": [
      {
        "name": "car",
        "type": "car"
      }
    ]
  },
  "plan": {
    "jobs": [
      {
        "id": "Job_1",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.63329,
                    "lng": 13.3138
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_2",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.62738533184079,
                    "lng": 13.3789
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_3",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.51635175288175,
                    "lng": 13.343661020679571
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_4",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.456,
                    "lng": 13.403260583257188
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_5",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.63256,
                    "lng": 13.37322
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_6",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.45810373923444,
                    "lng": 13.331808942475499
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_7",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.439442845393685,
                    "lng": 13.336118100685782
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_8",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.53213114000045,
                    "lng": 13.373517153879769
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_9",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.4823,
                    "lng": 13.4703
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_10",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.5313,
                    "lng": 13.35356
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_11",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.457844833248835,
                    "lng": 13.322525701671735
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_12",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.4329271708958,
                    "lng": 13.376558539227483
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_13",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.48128598928299,
                    "lng": 13.4944
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_14",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.580380893737356,
                    "lng": 13.304479222218161
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_15",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.444597854004236,
                    "lng": 13.42729037972278
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_16",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.5102,
                    "lng": 13.3444
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_17",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.48903177127663,
                    "lng": 13.495944342993262
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_18",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.62863,
                    "lng": 13.3621182
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_19",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.65831976801964,
                    "lng": 13.359646771531477
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_20",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.61955,
                    "lng": 13.29845
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_21",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.49949154428338,
                    "lng": 13.40857671284082
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_22",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.465255531970406,
                    "lng": 13.511537556934355
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_23",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.4312,
                    "lng": 13.45023
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_24",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.5293,
                    "lng": 13.38507204916371
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_25",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.6378,
                    "lng": 13.48675
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_26",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.53754,
                    "lng": 13.34152
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_27",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.48811100200862,
                    "lng": 13.376
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_28",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.4745,
                    "lng": 13.42
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_29",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.58884270031872,
                    "lng": 13.352068415230912
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_30",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.60079217247425,
                    "lng": 13.339813254226156
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_31",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.4779,
                    "lng": 13.5012
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_32",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.60066027234286,
                    "lng": 13.502741838681837
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_33",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.55437436208552,
                    "lng": 13.503142187091647
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_34",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.48446152479127,
                    "lng": 13.392004256315916
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_35",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.482203294624796,
                    "lng": 13.391214601891551
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_36",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.60842932011795,
                    "lng": 13.46922174529483
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_37",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.47651505101506,
                    "lng": 13.459944175857151
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_38",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.50488105730338,
                    "lng": 13.355333507786808
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_39",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.6029,
                    "lng": 13.3113
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_40",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.6543,
                    "lng": 13.39278
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_41",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.51508491755749,
                    "lng": 13.38
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_42",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.63313572894435,
                    "lng": 13.506488581249922
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_43",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.459450803409204,
                    "lng": 13.396015195980405
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_44",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.54433793446157,
                    "lng": 13.49579242116612
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_45",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.486517527979494,
                    "lng": 13.382057792236846
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_46",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.55606147412602,
                    "lng": 13.41517487839967
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_47",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.591995183321515,
                    "lng": 13.36000789424169
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_48",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.56223251898173,
                    "lng": 13.471999398223556
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_49",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.595251760429065,
                    "lng": 13.456764166098564
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      }
    ]
  }
}

Solution

The following figure visualizes the solution of the problem presented in the sample use case:

A solution visualization showing tours with the maxDrivingTime constraint

As the visualization shows, the optimization algorithm selected both vehicles to complete the assigned jobs. The following table summarizes the key statistics for each vehicle, with driving time highlighted against the 5-hour (18,000 s) limit:

Metricvehicle_1_1vehicle_1_2
Jobs assigned1831
Driving time2 h 19 min (8,350 s)4 h 5 min (14,690 s)
Service time1 h 30 min (5,400 s)2 h 35 min (9,300 s)
Total tour duration3 h 49 min (13,750 s)6 h 40 min (23,990 s)
Distance69.2 km119.1 km
Cost106.72177.04

Even though the vehicle type specified in the sample problem had its capacity value set to 50, allowing a single vehicle to complete all jobs within the specified shift, the maxDrivingTime constraint forced the algorithm to split the tour between the two vehicles. Thanks to this split, neither vehicle exceeded the maximum driving time limit.

The following section provides the full solution JSON:

Click to expand/collapse the sample JSON
{
  "statistic": {
    "cost": 283.762,
    "distance": 188282,
    "duration": 37740,
    "times": {
      "driving": 23040,
      "serving": 14700,
      "waiting": 0,
      "stopping": 0,
      "break": 0,
      "intraStop": 0
    },
    "intraStopDistance": 0
  },
  "tours": [
    {
      "vehicleId": "vehicle_1_2",
      "typeId": "vehicle_1",
      "stops": [
        {
          "time": {
            "arrival": "2024-06-24T06:00:00Z",
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Next steps