Planning des infirmiers avec rémunération des heures supplémentaires

Cet exemple s'appuie sur l'exemple de planification du personnel infirmier pour modéliser la rémunération régulière et celle des heures supplémentaires, sous réserve d'une exigence budgétaire. Outre les contraintes de planification pour le personnel infirmier, il existe un budget de 10 000 $pour un horizon de planification de quatre jours. Toutes les infirmières sont rémunérées à un tarif horaire de base de 50 $/h, et il existe un différentiel d'ajustement horaire de 10 $/h pour les quarts de travail à partir de 19 heures. Au-delà de 40 heures, l'heure est payée 1,5 fois le tarif horaire de base moyen (par exemple, (50 $ + 60 $)/2=55 $).

Rémunération régulière et des heures supplémentaires

Le taux horaire de base, les différentiels d'ajustement et les multiplicateurs d'heures supplémentaires sont représentés par le champ hourlyContract dans employee. Dans un contrat horaire, baseHourlyRate et hourlyRateShiftDifferentials modélisent la rémunération du travail régulier (hors heures supplémentaires). Ces valeurs sont également utilisées pour estimer un taux horaire de base moyen pour la rémunération des heures supplémentaires lorsque des overtimePeriods sont fournis. En général, une période de prolongation correspond à une semaine, et plusieurs périodes de prolongation peuvent être fournies à condition qu'elles ne se chevauchent pas. Le contrat horaire de la première infirmière (Adam) est représenté comme suit:

  {
    "employees": [{
      "id": "Adam",
      "roleIds": ["Registered Nurse"],
      ...
        scheduling constraints
      ...
      "hourlyContract": {
        "baseHourlyRate": 50,
        "hourlyRateShiftDifferentials": {
          "2023-05-01 19hr": 10,
          "2023-05-02 19hr": 10,
          "2023-05-03 19hr": 10,
          "2023-05-04 19hr": 10
        },
        "overtimePeriods": [
          {
            "overtimeMultiplier": 1.5,
            "startDateTime": {
              "year": 2023,
              "month": 5,
              "day": 1
            },
            "endDateTime": {
              "year": 2023,
              "month": 5,
              "day": 5
            },
            "maximumRegularHours": 40
          }
        ]
      }
    }
  }

Exemple avec les quatre employés et leur contrat horaire


  {
      "employees": [
        {
          "id": "Adam",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        },
        {
          "id": "Grace",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        },
        {
          "id": "James",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        },
        {
          "id": "Alonso",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        }
    ]
  }
  

Conditions à respecter en termes de budget

Le budget total de 10 000 $est représenté par une exigence budgétaire. Les heures de début et de fin sont facultatives. Si elles sont indiquées, seuls les décalages et les heures supplémentaires compris dans cette période sont pris en compte dans cette contrainte budgétaire. La représentation de la première infirmière (Adam) peut être mise à jour comme suit:

  {
    "totalBudget": 10000,
    "priority": "PRIORITY_HIGH"
  }

Exemple de requête complète


    {
      "employees": [
        {
          "id": "Adam",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        },
        {
          "id": "Grace",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        },
        {
          "id": "James",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        },
        {
          "id": "Alonso",
          "roleIds": [
            "Registered Nurse"
          ],
          "schedulingConstraints": [
            {
              "priority": "PRIORITY_HIGH",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "minimumRestMinutes": 720
            },
            {
              "priority": "PRIORITY_MEDIUM",
              "startDateTime": {
                "year": 2023,
                "month": 5,
                "day": 1,
                "hours": 7
              },
              "endDateTime": {
                "year": 2023,
                "month": 5,
                "day": 5,
                "hours": 7
              },
              "maximumMinutes": 2160
            }
          ],
          "hourlyContract": {
            "baseHourlyRate": 50,
            "hourlyRateShiftDifferentials": {
              "2023-05-01 19h": 10,
              "2023-05-02 19h": 10,
              "2023-05-03 19h": 10,
              "2023-05-04 19h": 10
            },
            "overtimePeriods": [
              {
                "overtimeMultiplier": 1.5,
                "startDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 1
                },
                "endDateTime": {
                  "year": 2023,
                  "month": 5,
                  "day": 5
                },
                "maximumRegularHours": 40
              }
            ]
          }
        }
      ],
      "shifts": [
        {
          "id": "2023-05-01 7h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 1,
            "hours": 7
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 1,
            "hours": 19
          }
        },
        {
          "id": "2023-05-01 13h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 1,
            "hours": 13
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 2,
            "hours": 1
          }
        },
        {
          "id": "2023-05-01 19h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 1,
            "hours": 19
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 2,
            "hours": 7
          }
        },
        {
          "id": "2023-05-02 7h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 2,
            "hours": 7
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 2,
            "hours": 19
          }
        },
        {
          "id": "2023-05-02 13h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 2,
            "hours": 13
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 3,
            "hours": 1
          }
        },
        {
          "id": "2023-05-02 19h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 2,
            "hours": 19
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 3,
            "hours": 7
          }
        },
        {
          "id": "2023-05-03 7h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 3,
            "hours": 7
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 3,
            "hours": 19
          }
        },
        {
          "id": "2023-05-03 13h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 3,
            "hours": 13
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 4,
            "hours": 1
          }
        },
        {
          "id": "2023-05-03 19h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 3,
            "hours": 19
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 4,
            "hours": 7
          }
        },
        {
          "id": "2023-05-04 7h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 4,
            "hours": 7
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 4,
            "hours": 19
          }
        },
        {
          "id": "2023-05-04 13h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 4,
            "hours": 13
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 5,
            "hours": 1
          }
        },
        {
          "id": "2023-05-04 19h",
          "locationId": "department",
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 4,
            "hours": 19
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 5,
            "hours": 7
          }
        }
      ],
      "coverageRequirements": [
        {
          "startDateTime": {
            "year": 2023,
            "month": 5,
            "day": 1,
            "hours": 7
          },
          "endDateTime": {
            "year": 2023,
            "month": 5,
            "day": 5,
            "hours": 7
          },
          "locationId": "department",
          "roleRequirements": [
            {
              "roleId": "Registered Nurse",
              "targetEmployeeCount": 2,
              "priority": "PRIORITY_MANDATORY"
            }
          ]
        }
      ],
      "roleIds": [
        "Registered Nurse"
      ],
      "locationIds": [
        "department"
      ],
      "budgetRequirements": [
        {
          "totalBudget": 10000,
          "priority": "PRIORITY_HIGH"
        }
      ]
    }
    

Exemple de réponse

La réponse du résolveur contient l'affectation des infirmiers aux équipes et l'état de la procédure d'optimisation. Par exemple, les quarts attribués au premier employé sont renvoyés comme suit:

  {
    "solutionStatus": "OPTIMAL",
    "shiftAssignments": [
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-01 7hr",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-02 7hr",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-03 7hr",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-04 7hr",
        "roleId": "Registered Nurse"
      },
      ... ]
  }

Exemple de réponse complète


  {
    "solutionStatus": "OPTIMAL",
    "shiftAssignments": [
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-01 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-02 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-03 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Adam",
        "shiftId": "2023-05-04 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Grace",
        "shiftId": "2023-05-01 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Grace",
        "shiftId": "2023-05-02 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Grace",
        "shiftId": "2023-05-03 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "Grace",
        "shiftId": "2023-05-04 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "James",
        "shiftId": "2023-05-01 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "James",
        "shiftId": "2023-05-02 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "James",
        "shiftId": "2023-05-03 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "James",
        "shiftId": "2023-05-04 19h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "We",
        "shiftId": "2023-05-01 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "We",
        "shiftId": "2023-05-02 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "We",
        "shiftId": "2023-05-03 7h",
        "roleId": "Registered Nurse"
      },
      {
        "employeeId": "We",
        "shiftId": "2023-05-04 7h",
        "roleId": "Registered Nurse"
      }
    ]
  }