車輛路徑規劃:將貨件指派給車輛

本指南說明 Route Optimization 解決方案提供的車輛數量,如何因要求參數而異。

Route Optimization API 不僅會找出最佳出貨順序,還會將這些貨物分配給車輛,以便在您管理的限制條件下,盡量降低成本。

在第一個範例中,車輛數量與貨運數量相符,且所有車輛共用相同的費用和地點屬性。每輛車都有每營運小時的成本和每行駛公里的成本,有助於盡量縮短行車時間和距離。你可能會預期系統會為多部車輛指派貨運,但範例回應顯示的是在指定成本模型參數下,成本最低的解決方案。

查看包含多輛車的範例要求

{
  "model": {
    "globalStartTime": "2023-01-13T16:00:00-08:00",
    "globalEndTime": "2023-01-14T16:00:00-08:00",
    "shipments": [
      {
        "deliveries": [
          {
            "arrivalLocation": {
              "latitude": 37.789456,
              "longitude": -122.390192
            },
            "duration": "250s"
          }
        ],
        "pickups": [
          {
            "arrivalLocation": {
              "latitude": 37.794465,
              "longitude": -122.394839
            },
            "duration": "150s"
          }
        ],
        "penaltyCost": 100.0
      },
      {
        "deliveries": [
          {
            "arrivalLocation": {
              "latitude": 37.789116,
              "longitude": -122.395080
            },
            "duration": "250s"
          }
        ],
        "pickups": [
          {
            "arrivalLocation": {
              "latitude": 37.794465,
              "longitude": -122.394839
            },
            "duration": "150s"
          }
        ],
        "penaltyCost": 5.0
      },
      {
        "deliveries": [
          {
            "arrivalLocation": {
              "latitude": 37.795242,
              "longitude": -122.399347
            },
            "duration": "250s"
          }
        ],
        "pickups": [
          {
            "arrivalLocation": {
              "latitude": 37.794465,
              "longitude": -122.394839
            },
            "duration": "150s"
          }
        ],
        "penaltyCost": 50.0
      }
    ],
    "vehicles": [
      {
        "endLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "startLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "costPerHour": 50.0,
        "costPerKilometer": 10.0
      },
      {
        "endLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "startLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "costPerHour": 50.0,
        "costPerKilometer": 10.0
      },
      {
        "endLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "startLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "costPerHour": 50.0,
        "costPerKilometer": 10.0
      }
    ]
  }
}
    

查看對多輛車輛的要求的回應

{
  "routes": [
    {
      "vehicleStartTime": "2023-01-14T00:00:00Z",
      "vehicleEndTime": "2023-01-14T00:28:22Z",
      "visits": [
        {
          "isPickup": true,
          "startTime": "2023-01-14T00:00:00Z",
          "detour": "0s"
        },
        {
          "shipmentIndex": 2,
          "isPickup": true,
          "startTime": "2023-01-14T00:02:30Z",
          "detour": "150s"
        },
        {
          "startTime": "2023-01-14T00:08:55Z",
          "detour": "150s"
        },
        {
          "shipmentIndex": 2,
          "startTime": "2023-01-14T00:21:21Z",
          "detour": "572s"
        }
      ],
      "transitions": [
        {
          "travelDuration": "0s",
          "waitDuration": "0s",
          "totalDuration": "0s",
          "startTime": "2023-01-14T00:00:00Z"
        },
        {
          "travelDuration": "0s",
          "waitDuration": "0s",
          "totalDuration": "0s",
          "startTime": "2023-01-14T00:02:30Z"
        },
        {
          "travelDuration": "235s",
          "travelDistanceMeters": 795,
          "waitDuration": "0s",
          "totalDuration": "235s",
          "startTime": "2023-01-14T00:05:00Z"
        },
        {
          "travelDuration": "496s",
          "travelDistanceMeters": 1893,
          "waitDuration": "0s",
          "totalDuration": "496s",
          "startTime": "2023-01-14T00:13:05Z"
        },
        {
          "travelDuration": "171s",
          "travelDistanceMeters": 665,
          "waitDuration": "0s",
          "totalDuration": "171s",
          "startTime": "2023-01-14T00:25:31Z"
        }
      ],
      "metrics": {
        "performedShipmentCount": 2,
        "travelDuration": "902s",
        "waitDuration": "0s",
        "delayDuration": "0s",
        "breakDuration": "0s",
        "visitDuration": "800s",
        "totalDuration": "1702s",
        "travelDistanceMeters": 3353
      },
      "routeCosts": {
        "model.vehicles.cost_per_kilometer": 33.53,
        "model.vehicles.cost_per_hour": 23.638888888888889
      },
      "routeTotalCost": 57.168888888888887
    },
    {
      "vehicleIndex": 1
    },
    {
      "vehicleIndex": 2
    }
  ],
  "skippedShipments": [
    {
      "index": 1
    }
  ],
  "metrics": {
    "aggregatedRouteMetrics": {
      "performedShipmentCount": 2,
      "travelDuration": "902s",
      "waitDuration": "0s",
      "delayDuration": "0s",
      "breakDuration": "0s",
      "visitDuration": "800s",
      "totalDuration": "1702s",
      "travelDistanceMeters": 3353
    },
    "usedVehicleCount": 1,
    "earliestVehicleStartTime": "2023-01-14T00:00:00Z",
    "latestVehicleEndTime": "2023-01-14T00:28:22Z",
    "totalCost": 62.168888888888887,
    "costs": {
      "model.vehicles.cost_per_hour": 23.638888888888889,
      "model.shipments.penalty_cost": 5,
      "model.vehicles.cost_per_kilometer": 33.53
    }
  }
}
    

儘管車輛充足,但求解器只將所有貨物指派給一輛車,並略過一項貨物。這是因為營運額外車輛的成本過高,不划算,而且由於違規費用不高,任何車輛完成跳過的貨運都不具成本效益。即使車輛容量充足,一輛車也能以最具成本效益的方式完成所有指派的貨運。要求中的車輛未設定 usedIfRouteIsEmpty 屬性 (詳情請參閱 Vehicle 訊息文件 (RESTgRPC)),因此未使用時不會產生任何費用。

變更成本參數,優先採用全球較短的解決方案,而非個別車輛路線較短的解決方案,會導致更多車輛參與解決方案。下一個範例要求會將 Vehicle.costPerHour 替換為全域 ShipmentModel.globalDurationCostPerHour,優先考量總時間較短的解決方案,而非特定車輛的作業時間。shipment[1]的違規費用也隨之提高,以降低遭略過的機率。

請參閱使用 globalDurationCostPerHour 的要求範例

{
  "model": {
    "globalStartTime": "2023-01-13T16:00:00-08:00",
    "globalEndTime": "2023-01-14T16:00:00-08:00",
    "globalDurationCostPerHour": 150.0,
    "shipments": [
      {
        "deliveries": [
          {
            "arrivalLocation": {
              "latitude": 37.789456,
              "longitude": -122.390192
            },
            "duration": "250s"
          }
        ],
        "pickups": [
          {
            "arrivalLocation": {
              "latitude": 37.794465,
              "longitude": -122.394839
            },
            "duration": "150s"
          }
        ],
        "penaltyCost": 100.0
      },
      {
        "deliveries": [
          {
            "arrivalLocation": {
              "latitude": 37.789116,
              "longitude": -122.395080
            },
            "duration": "250s"
          }
        ],
        "pickups": [
          {
            "arrivalLocation": {
              "latitude": 37.794465,
              "longitude": -122.394839
            },
            "duration": "150s"
          }
        ],
        "penaltyCost": 75.0
      },
      {
        "deliveries": [
          {
            "arrivalLocation": {
              "latitude": 37.795242,
              "longitude": -122.399347
            },
            "duration": "250s"
          }
        ],
        "pickups": [
          {
            "arrivalLocation": {
              "latitude": 37.794465,
              "longitude": -122.394839
            },
            "duration": "150s"
          }
        ],
        "penaltyCost": 50.0
      }
    ],
    "vehicles": [
      {
        "endLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "startLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "costPerKilometer": 10.0
      },
      {
        "endLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "startLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "costPerKilometer": 10.0
      },
      {
        "endLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "startLocation": {
          "latitude": 37.794465,
          "longitude": -122.394839
        },
        "costPerKilometer": 10.0
      }
    ]
  }
}
    

結果顯示,使用每小時全球成本成本參數時,會用到全部三輛車,而不是只有一輛。

使用 globalDurationCostPerHour查看要求的回應

{
  "routes": [
    {
      "vehicleStartTime": "2023-01-14T00:00:00Z",
      "vehicleEndTime": "2023-01-14T00:16:20Z",
      "visits": [
        {
          "shipmentIndex": 2,
          "isPickup": true,
          "startTime": "2023-01-14T00:00:00Z",
          "detour": "0s"
        },
        {
          "shipmentIndex": 2,
          "startTime": "2023-01-14T00:09:19Z",
          "detour": "0s"
        }
      ],
      "transitions": [
        {
          "travelDuration": "0s",
          "waitDuration": "0s",
          "totalDuration": "0s",
          "startTime": "2023-01-14T00:00:00Z"
        },
        {
          "travelDuration": "409s",
          "travelDistanceMeters": 1371,
          "waitDuration": "0s",
          "totalDuration": "409s",
          "startTime": "2023-01-14T00:02:30Z"
        },
        {
          "travelDuration": "171s",
          "travelDistanceMeters": 665,
          "waitDuration": "0s",
          "totalDuration": "171s",
          "startTime": "2023-01-14T00:13:29Z"
        }
      ],
      "metrics": {
        "performedShipmentCount": 1,
        "travelDuration": "580s",
        "waitDuration": "0s",
        "delayDuration": "0s",
        "breakDuration": "0s",
        "visitDuration": "400s",
        "totalDuration": "980s",
        "travelDistanceMeters": 2036
      },
      "routeCosts": {
        "model.vehicles.cost_per_kilometer": 20.36
      },
      "routeTotalCost": 20.36
    },
    {
      "vehicleIndex": 1,
      "vehicleStartTime": "2023-01-14T00:00:00Z",
      "vehicleEndTime": "2023-01-14T00:18:54Z",
      "visits": [
        {
          "shipmentIndex": 1,
          "isPickup": true,
          "startTime": "2023-01-14T00:00:00Z",
          "detour": "0s"
        },
        {
          "shipmentIndex": 1,
          "startTime": "2023-01-14T00:08:24Z",
          "detour": "0s"
        }
      ],
      "transitions": [
        {
          "travelDuration": "0s",
          "waitDuration": "0s",
          "totalDuration": "0s",
          "startTime": "2023-01-14T00:00:00Z"
        },
        {
          "travelDuration": "354s",
          "travelDistanceMeters": 1192,
          "waitDuration": "0s",
          "totalDuration": "354s",
          "startTime": "2023-01-14T00:02:30Z"
        },
        {
          "travelDuration": "380s",
          "travelDistanceMeters": 1190,
          "waitDuration": "0s",
          "totalDuration": "380s",
          "startTime": "2023-01-14T00:12:34Z"
        }
      ],
      "metrics": {
        "performedShipmentCount": 1,
        "travelDuration": "734s",
        "waitDuration": "0s",
        "delayDuration": "0s",
        "breakDuration": "0s",
        "visitDuration": "400s",
        "totalDuration": "1134s",
        "travelDistanceMeters": 2382
      },
      "routeCosts": {
        "model.vehicles.cost_per_kilometer": 23.82
      },
      "routeTotalCost": 23.82
    },
    {
      "vehicleIndex": 2,
      "vehicleStartTime": "2023-01-14T00:00:00Z",
      "vehicleEndTime": "2023-01-14T00:16:14Z",
      "visits": [
        {
          "isPickup": true,
          "startTime": "2023-01-14T00:00:00Z",
          "detour": "0s"
        },
        {
          "startTime": "2023-01-14T00:06:25Z",
          "detour": "0s"
        }
      ],
      "transitions": [
        {
          "travelDuration": "0s",
          "waitDuration": "0s",
          "totalDuration": "0s",
          "startTime": "2023-01-14T00:00:00Z"
        },
        {
          "travelDuration": "235s",
          "travelDistanceMeters": 795,
          "waitDuration": "0s",
          "totalDuration": "235s",
          "startTime": "2023-01-14T00:02:30Z"
        },
        {
          "travelDuration": "339s",
          "travelDistanceMeters": 1276,
          "waitDuration": "0s",
          "totalDuration": "339s",
          "startTime": "2023-01-14T00:10:35Z"
        }
      ],
      "metrics": {
        "performedShipmentCount": 1,
        "travelDuration": "574s",
        "waitDuration": "0s",
        "delayDuration": "0s",
        "breakDuration": "0s",
        "visitDuration": "400s",
        "totalDuration": "974s",
        "travelDistanceMeters": 2071
      },
      "routeCosts": {
        "model.vehicles.cost_per_kilometer": 20.71
      },
      "routeTotalCost": 20.71
    }
  ],
  "metrics": {
    "aggregatedRouteMetrics": {
      "performedShipmentCount": 3,
      "travelDuration": "1888s",
      "waitDuration": "0s",
      "delayDuration": "0s",
      "breakDuration": "0s",
      "visitDuration": "1200s",
      "totalDuration": "3088s",
      "travelDistanceMeters": 6489
    },
    "usedVehicleCount": 3,
    "earliestVehicleStartTime": "2023-01-14T00:00:00Z",
    "latestVehicleEndTime": "2023-01-14T00:18:54Z",
    "totalCost": 112.14,
    "costs": {
      "model.vehicles.cost_per_kilometer": 64.89,
      "model.global_duration_cost_per_hour": 47.25
    }
  }
}
    

在此回應中,所有三輛車都正在使用中 (根據 metrics.usedVehicleCount),每輛車都分配到一項貨運任務。由於起點、終點和 costPerKilometer 都相同,這三輛車輛實際上可互換,因此將哪批貨物分配給哪輛車輛並不重要。

globalDurationCostPerHour 導致最佳化工具找到整體較短的解決方案:earliestVehicleStartTimelatestVehicleEndTime 之間的差異只有 18 分 54 秒,而不是先前回應中的 28 分 22 秒。不過,metrics.costs.model.vehicles.cost_per_kilometer有所增加,反映出三輛車的總行駛距離變長。這說明成本模型如何讓您做出取捨

  • 增加全球時間成本:提高車輛使用率,盡量縮短整體完成時間,但會增加車輛行駛距離和運輸時間。
  • 增加車輛時間成本:減少車輛使用率和運輸時間,但整體解決方案時間會較長。

請注意,本例中的 globalDurationCostPerHour 值 150.0 是根據先前範例中個別車輛的 costPerHour 值 50.0 設定,為後者的三倍。這個全域費用值實際上是假設這三輛車會同時運作,但在實際情況中,這類假設可能無法反映現實,甚至可能對結果品質造成負面影響。

費用模型參數所述,所有費用參數都以相同的無因次單位表示,但意義可能大不相同。一般來說,費用模型參數值應盡可能貼近現實,因為人工費用 (如本例所示) 可能會導致 API 針對與您意圖不符的目標進行最佳化。