Pflegeplanung mit Überstundenvergütung

Dieses Beispiel baut auf dem Beispiel für die Krankenpflegeplanung auf, regelmäßige Vergütung und Überstundenvergütung, die von Budgetvorgaben vorgegeben werden. Neben den für die Krankenpfleger ein Budget von 10.000 USD für einen Planungshorizont an. Alle Pflegekräfte erhalten einen Basisstundensatz von 50 $/Std. eine stündliche Schichtdifferenz von 10 $/Std. für Schichten ab 19 Std. Beliebige Stunde der nach 40 Stunden gearbeitet wird, wird zum 1,5-Fachen des durchschnittlichen Basisstundensatzes bezahlt (d. h. (50 € + 60 €) ÷ 2=55 €).

Reguläre Vergütung und Überstunden

Der Basisstundensatz, die Schichtdifferenzen und die Multiplikatoren für die Überstunden sind wird durch das Feld hourlyContract in employee dargestellt. In einer stündlicher Vertrag, die baseHourlyRate und die hourlyRateShiftDifferentials modelliert die Vergütung für regelmäßige (ohne Überstunden) arbeiten. Diese Werte werden auch verwendet, um einen durchschnittlichen Basisstundensatz für Überstundenvergütung, wenn overtimePeriods angegeben werden. In der Regel eine Überstunden Periodenübereinstimmungen pro Woche und mehrere Überstunden können angegeben werden, solange sich nicht überschneiden. Der Stundenvertrag für die erste Krankenschwester (Adam) lautet dargestellt als:

  {
    "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
          }
        ]
      }
    }
  }

Beispiel mit allen vier Mitarbeitenden und deren Stundenvertrag


  {
      "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
              }
            ]
          }
        }
    ]
  }
  

Budgetanforderung

Das Gesamtbudget von 10.000 Euro wird durch Budgetanforderungen. Die Start- und Endzeiten sind optional und, falls angegeben, nur Schichten und Überstunden innerhalb dieses Zeitfensters im Hinblick auf diese Budgetbeschränkung berücksichtigt werden. Die entsprechende Darstellung für die erste Krankenschwester (Adam) geändert werden zu:

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

Beispiel für eine vollständige Anfrage


    {
      "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"
        }
      ]
    }
    

Antwortbeispiel

Die Antwort des Matherechners umfasst die Zuweisung von Krankenschwestern in die Schichten und Status des Optimierungsverfahrens. Zum Beispiel die Schichten, die dem erste Mitarbeiter werden zurückgegeben als:

  {
    "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"
      },
      ... ]
  }

Beispiel für eine vollständige Antwort


  {
    "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"
      }
    ]
  }