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移動時間または距離で車両用ルートを最適化する

carプロファイルを使用すると、ビジネス要件に応じてルート計算モードを調整できます。これは、最適化アルゴリズムがツアー内のすべての停車地間のルートを計算する方法に影響します。次のモードを使用できます。

  • fast (デフォルト):道路上での時間を最小化
  • short:走行距離を最小化

高速モード - 移動時間で最適化

fastモードでは、総移動時間を最小化することでルートを最適化します。このモードでは、さまざまな道路タイプ (たとえば、高速道路、幹線道路、住宅街の道路など) の一般的な走行速度、交通状況、制限速度などの速度情報を考慮して、現実的な移動時間を計算します。このデフォルトモードは、時間厳守の配達 (たとえば、当日配達や速達便サービス) など、ほとんどのビジネスユースケースに対応しています。

ショートモード - 距離で最適化

このモードでは、車両がツアー中に走行する総距離を最小化することでルートを最適化します。このモードでは、最適化アルゴリズムは速度に関する情報を完全に無視し、ポイント間の物理的な距離のみに着目して、車両がさまざまな道路でどれだけの速度で走行できるかを考慮せずに、その距離を最小化しようとします。このモードは、燃料消費量の削減などの要素が重要なコスト重視の運用に特に適しています (たとえば、環境規制目標の達成や、走行距離に基づくコスト削減ユースケースなど)。

📘

最適化アルゴリズムでは、たとえば不要な方向転換にペナルティを課すなどして、ルートをできるだけ合理的に保つため、shortモードでは必ずしも絶対的な最短距離が生成されるわけではありません。

自動車プロファイルモード設定を理解する

問題仕様では、次のスニペットに示すように、fleet.profilesオブジェクト内のmodeプロパティをcarプロファイル用に構成します。

{
  "fleet": {
    "profiles": [
      {
        "name": "quick_delivery_vehicle",
        "type": "car",
        "mode": "short"
      }
    ]
  }
}

carプロファイルに対して選択したモードは、ツアー全体を通してそのプロファイルのすべてのルート検索計算に適用されます。modeプロパティを指定しない場合、最適化アルゴリズムではデフォルトでfastモードを使用します。

モードが他の最適化設定にどのように影響するかを理解する

modeプロパティはルーティングマトリックス計算を制御します (選択されたモードに応じて、より速い移動時間またはより短い距離を返します) が、最終的な最適化は次の設定に依存します。

この関係性を理解することで、矛盾した結果や予期せぬ結果を避けることができます。

車両コストにモードを合わせる

最適化アルゴリズムでは、ルート検索に関する決定を評価する際の主要な要素の一つとして車両コストを使用します。デフォルトでは、目的を指定しない場合、システムでは目的関数設定[{type: "minimizeUnassigned"}, {type: "minimizeTours"}, {type: "minimizeCost"}]を使用します 。minimizeCost目的はcosts.distancecosts.timeの設定に影響されます。

{
  "costs": {
    "distance": 0.001,  // Cost per meter
    "time": 0.002,      // Cost per second  
    "fixed": 10
  }
}

modeshortに設定すると、距離最適化ルートがリクエストされます。ただし、costs.timecost.distanceを大きく上回る場合、またはcost.distance0と等しい場合、最適化アルゴリズムではツアーを構築する際に時間ベースの決定を優先する可能性があります。

📘

最大距離制限に違反するとペナルティを課すexcessCostsを指定すると、modeshortに設定しても、最適化アルゴリズムが時間ベースのソリューションを優先するようになる可能性もあります。

選択したモードと結果が一致するように、costsの重みを適切に調整してください。たとえば、shortオプションを使用する場合、次のようにcosts.distanceに高い重みを、costs.timeに低い重みを割り当てます。

{
  "fleet": {
    "types": [{
      "costs": {
        "distance": 0.002,  // Higher weight on distance
        "time": 0.0001,     // Lower weight on time
        "fixed": 10
      }
    }],
    "profiles": [{
      "type": "car",
      "mode": "short"      // Request distance-optimized routes
    }]
  }
}
📘

個々のビジネス要件に基づいてcostsの重みを調整してください。

目的に合わせる

目的を明示的に指定する場合は、設定した目的がmodeの設定と一致していることを確認してください。たとえば、modefastとして指定し、さらにminimizeDistanceの目的を含めた場合、mode: "fast"は時間最適化ルートを提供しますが、minimizeDistanceは最適化アルゴリズムに距離の最小化を指示するため、modeの設定はほとんど効果がない可能性があります。これにより不一致が発生します。

問題に目的関数minimizeDurationを含めつつ、modeshortに設定した場合も同様です。以下は、設定が一致している例です。

{
  "profiles": [{"type": "car", "mode": "short"}],
  "objectives": [
    {"type": "minimizeUnassigned"},
    {"type": "minimizeDistance"}  // Aligns with short mode
  ]
}

詳細については、「目的関数を使用する」を参照してください。

ルート最適化モードを比較する

以降のセクションでは、fastプロファイルとshortプロファイルの違いを実際に示します。比較シナリオには、同じ一連のジョブ、同じ車両、ベルリンの同じstartendの場所を含む2つの問題が含まれています。

この比較の目的は、移動時間の最小化と距離の最小化との間のトレードオフを示すことです。fastモードでは、時間の短縮につながる場合、最適化アルゴリズムはより長い距離を選択する可能性があります (たとえば、高速道路や幹線道路を選択するなど)。逆に、shortモードでは、最適化アルゴリズムは移動時間の増加を犠牲にしてでも、より短い距離を優先します。

高速モードの問題 (デフォルト)

この問題では、ルート計算にデフォルトのfastモードを使用し、構成は以下のとおりです。

  • ベルリン各地に散らばる49件の配達ジョブを1台の車両で担当する
  • 車両プロファイルはデフォルトモードでcarに設定されている
  • 12時間シフト時間 (8:00から20:00まで)
  • 車両容量は50ユニットに設定済み
  • 車両はベルリンの同じ場所 (緯度:52.531、経度:13.38461) で開始および終了
  • 時間ベースのコスト (1秒あたり0.002) と距離ベースのコスト (1メートルあたり0.001)

問題の完全な定義については、以下のスニペットを参照してください。

Click to expand/collapse the sample JSON
{
  "fleet": {
    "types": [
      {
        "profile": "car",
        "amount": 1,
        "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"
            }
          }
        ]
      }
    ],
    "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": [
                {
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                    "lat": 52.45810373923444,
                    "lng": 13.331808942475499
                  },
                  "duration": 300
                }
              ],
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                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_7",
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            {
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                {
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                    "lat": 52.439442845393685,
                    "lng": 13.336118100685782
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_8",
        "tasks": {
          "deliveries": [
            {
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                {
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                    "lat": 52.53213114000045,
                    "lng": 13.373517153879769
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_9",
        "tasks": {
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                {
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                    "lat": 52.4823,
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                  },
                  "duration": 300
                }
              ],
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                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_10",
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                }
              ],
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              ]
            }
          ]
        }
      },
      {
        "id": "Job_11",
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                  },
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                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_12",
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          ]
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          ]
        }
      },
      {
        "id": "Job_18",
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          "deliveries": [
            {
              "places": [
                {
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                  },
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              ],
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              ]
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          ]
        }
      },
      {
        "id": "Job_19",
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            {
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                {
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              ],
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            }
          ]
        }
      },
      {
        "id": "Job_20",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.61955,
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                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_21",
        "tasks": {
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            {
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                }
              ],
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              ]
            }
          ]
        }
      },
      {
        "id": "Job_22",
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          "deliveries": [
            {
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                {
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          ]
        }
      },
      {
        "id": "Job_23",
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            {
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                {
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                }
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          ]
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      },
      {
        "id": "Job_24",
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      },
      {
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          ]
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      },
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        "id": "Job_26",
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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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                1
              ]
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          ]
        }
      },
      {
        "id": "Job_35",
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            {
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              ],
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              ]
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          ]
        }
      },
      {
        "id": "Job_36",
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            {
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              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_37",
        "tasks": {
          "deliveries": [
            {
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                {
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              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_38",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
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                  "duration": 300
                }
              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_39",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
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                  "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
              ]
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          ]
        }
      },
      {
        "id": "Job_42",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
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                    "lat": 52.63313572894435,
                    "lng": 13.506488581249922
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                  "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": [
                {
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                    "lng": 13.49579242116612
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                  "duration": 300
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              ],
              "demand": [
                1
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          ]
        }
      },
      {
        "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
              ]
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          ]
        }
      },
      {
        "id": "Job_47",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
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                    "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
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              ],
              "demand": [
                1
              ]
            }
          ]
        }
      },
      {
        "id": "Job_49",
        "tasks": {
          "deliveries": [
            {
              "places": [
                {
                  "location": {
                    "lat": 52.595251760429065,
                    "lng": 13.456764166098564
                  },
                  "duration": 300
                }
              ],
              "demand": [
                1
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          ]
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      }
    ]
  }
}

高速モードのソリューション

高速モードのソリューションでは、以下の主要な統計情報が得られました。

  • 総コスト:267.88
  • 総走行距離:182,668メートル (≈182.7 km)
  • 総所要時間:37,605秒 (≈10.4時間)
    • 運転時間:22,905秒 (≈6.4時間)
    • サービス時間:14,700秒 (≈4.1時間)

49個すべてのジョブが正常に割り当てられ、完了しました。移動時間を最小限に抑えるため、ルートシーケンスが最適化されました。

問題の完全なソリューションについては、以下のスニペットを参照してください。

Click to expand/collapse the sample JSON
{
  "statistic": {
    "cost": 267.87800000000004,
    "distance": 182668,
    "duration": 37605,
    "times": {
      "driving": 22905,
      "serving": 14700,
      "waiting": 0,
      "stopping": 0,
      "break": 0,
      "intraStop": 0
    },
    "intraStopDistance": 0
  },
  "tours": [
    {
      "vehicleId": "vehicle_1_1",
      "typeId": "vehicle_1",
      "stops": [
        {
          "time": {
            "arrival": "2024-06-24T06:00:00Z",
            "departure": "2024-06-24T06:00:00Z"
          },
          "load": [
            49
          ],
          "activities": [
            {
              "jobId": "departure",
              "type": "departure",
              "location": {
                "lat": 52.531,
                "lng": 13.38461
              },
              "time": {
                "start": "2024-06-24T06:00:00Z",
                "end": "2024-06-24T06:00:00Z",
                "arrival": "2024-06-24T06:00:00Z"
              }
            }
          ],
          "location": {
            "lat": 52.531,
            "lng": 13.38461
          },
          "distance": 0
        },
        {
          "time": {
            "arrival": "2024-06-24T06:02:22Z",
            "departure": "2024-06-24T06:07:22Z"
          },
          "load": [
            48
          ],
          "activities": [
            {
              "jobId": "Job_8",
              "type": "delivery",
              "location": {
                "lat": 52.53213114000045,
                "lng": 13.373517153879767
              },
              "time": {
                "start": "2024-06-24T06:02:22Z",
                "end": "2024-06-24T06:07:22Z",
                "arrival": "2024-06-24T06:02:22Z"
              }
            }
          ],
          "location": {
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            "lng": 13.373517153879767
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          "distance": 1079
        },
        {
          "time": {
            "arrival": "2024-06-24T06:10:45Z",
            "departure": "2024-06-24T06:15:45Z"
          },
          "load": [
            47
          ],
          "activities": [
            {
              "jobId": "Job_24",
              "type": "delivery",
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                "lng": 13.38507204916371
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                "start": "2024-06-24T06:10:45Z",
                "end": "2024-06-24T06:15:45Z",
                "arrival": "2024-06-24T06:10:45Z"
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          "distance": 2276
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        {
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            "departure": "2024-06-24T06:26:35Z"
          },
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            46
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          "activities": [
            {
              "jobId": "Job_41",
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              "time": {
                "start": "2024-06-24T06:21:35Z",
                "end": "2024-06-24T06:26:35Z",
                "arrival": "2024-06-24T06:21:35Z"
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          "distance": 4500
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        {
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            "departure": "2024-06-24T06:39:07Z"
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          "load": [
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              "jobId": "Job_21",
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                "end": "2024-06-24T06:39:07Z",
                "arrival": "2024-06-24T06:34:07Z"
              }
            }
          ],
          "location": {
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          "distance": 7902
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        {
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            "arrival": "2024-06-24T06:46:30Z",
            "departure": "2024-06-24T06:51:30Z"
          },
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            44
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          "activities": [
            {
              "jobId": "Job_27",
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                "arrival": "2024-06-24T06:46:30Z"
              }
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            "departure": "2024-06-24T07:00:31Z"
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            43
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                "arrival": "2024-06-24T06:55:31Z"
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}

ショートモードの問題

以下の問題はfastモードの例と同一ですが、今回はmodeプロパティがshortに設定されています。これは、最適化アルゴリズムに対して総移動距離を最小化するように指示するものであり (ただし、方向転換や合理的なルート検索も考慮に入れる)、結果として移動時間は長くなる可能性があるものの、走行距離は少なくなる可能性があります。

問題の完全な定義については、以下のスニペットを参照してください。

Click to expand/collapse the sample JSON
{
  "fleet": {
    "types": [
      {
        "profile": "car",
        "amount": 1,
        "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"
            }
          }
        ]
      }
    ],
    "profiles": [
      {
        "name": "car",
        "type": "car",
        "mode": "short"
      }
    ]
  },
  "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
              ]
            }
          ]
        }
      }
    ]
  }
}

ショートモードのソリューション

shortモードのソリューションでは、以下の主要な統計情報が得られました。

  • 総コスト:260.52
  • 総走行距離:175,511メートル (≈175.5 km)
  • 総所要時間:37,503秒 (≈10.4時間)
    • 運転時間:22,803秒 (≈6.3時間)
    • サービス時間:14,700秒 (≈4.1時間)

問題の完全なソリューションについては、以下のスニペットを参照してください。

Click to expand/collapse the sample JSON
{
  "statistic": {
    "cost": 260.517,
    "distance": 175511,
    "duration": 37503,
    "times": {
      "driving": 22803,
      "serving": 14700,
      "waiting": 0,
      "stopping": 0,
      "break": 0,
      "intraStop": 0
    },
    "intraStopDistance": 0
  },
  "tours": [
    {
      "vehicleId": "vehicle_1_1",
      "typeId": "vehicle_1",
      "stops": [
        {
          "time": {
            "arrival": "2024-06-24T06:00:00Z",
            "departure": "2024-06-24T06:00:00Z"
          },
          "load": [
            49
          ],
          "activities": [
            {
              "jobId": "departure",
              "type": "departure",
              "location": {
                "lat": 52.531,
                "lng": 13.38461
              },
              "time": {
                "start": "2024-06-24T06:00:00Z",
                "end": "2024-06-24T06:00:00Z",
                "arrival": "2024-06-24T06:00:00Z"
              }
            }
          ],
          "location": {
            "lat": 52.531,
            "lng": 13.38461
          },
          "distance": 0
        },
        {
          "time": {
            "arrival": "2024-06-24T06:01:15Z",
            "departure": "2024-06-24T06:06:15Z"
          },
          "load": [
            48
          ],
          "activities": [
            {
              "jobId": "Job_24",
              "type": "delivery",
              "location": {
                "lat": 52.5293,
                "lng": 13.38507204916371
              },
              "time": {
                "start": "2024-06-24T06:01:15Z",
                "end": "2024-06-24T06:06:15Z",
                "arrival": "2024-06-24T06:01:15Z"
              }
            }
          ],
          "location": {
            "lat": 52.5293,
            "lng": 13.38507204916371
          },
          "distance": 485
        },
        {
          "time": {
            "arrival": "2024-06-24T06:09:43Z",
            "departure": "2024-06-24T06:14:43Z"
          },
          "load": [
            47
          ],
          "activities": [
            {
              "jobId": "Job_8",
              "type": "delivery",
              "location": {
                "lat": 52.53213114000045,
                "lng": 13.373517153879767
              },
              "time": {
                "start": "2024-06-24T06:09:43Z",
                "end": "2024-06-24T06:14:43Z",
                "arrival": "2024-06-24T06:09:43Z"
              }
            }
          ],
          "location": {
            "lat": 52.53213114000045,
            "lng": 13.373517153879767
          },
          "distance": 1679
        },
        {
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}

結果の比較

以下の表は、carプロファイルにおけるfastモードとshortモードの最適化に関する主要なメトリックを比較したものです。

メトリック高速モードショートモード差異
総コスト267.88260.52-7.36 (2.7%削減)
総走行距離182,668メートル (182.7km)175,511メートル (175.5km)-7,157メートル (-7.2km、3.9%削減)
総所要時間37,605秒 (10.4時間)37,503秒 (10.4時間)-102秒 (-1.7分、0.3%削減)

比較対象ツアーの主要統計データに基づくと、以下のようになります。

  • ショートモードでは移動距離が7.2km短縮され、燃料消費量と走行距離に基づくコストが削減されました。
  • 距離コンポーネントの減少により、総コストが2.7%減少しました。
  • shortモードでも総所要時間がわずかに短縮 (1.7分節約) されましたが、これはより直接的なルート検索によるものと考えられます。
  • どちらのモードでも、シフト制約内で49件のジョブがすべて正常に完了しました。

以下の比較は、選択されたモードに基づいて、最適化アルゴリズムがツアーのルートをどのように最適化するかを示したものです。

高速モードショートモード

job_39job_14のルート検索決定に基づいて、fastモードでは、最適化アルゴリズムは車両を高速道路に沿ってより長いもののより速いルートに誘導します。対照的に、shortモードでは距離の短縮が優先されるため、時間帯や交通量によってはツアーが長くなる可能性があります。

ユースケースに適したモードを選択する

今回の比較ではshortモードの方がわずかに効率的であることが証明されましたが、fastモードはほとんどのシナリオに適しています。距離に基づくコストが時間に基づくコストを大幅に上回る場合は、shortモードを使用してください。どちらのモードが自社の具体的なビジネス要件に対してより良い結果をもたらすかを判断するために、両方のモードをテストすることを検討してください。

次のステップ