Stellen Sie sich ein Problem mit der Zeitplanung für eine Abteilung eines bestimmten Krankenhauses vor. Jeden Tag gibt es drei 12-Stunden-Schichten, die bei 7, 13 und 19 Stunden beginnen. Die Der Planungshorizont beträgt vier Tage, beginnend am 01.05.2023, mit insgesamt 12 Schichten. Es gibt vier registrierte Krankenschwestern, die diesen Schichten zugewiesen werden können, wobei die das Ziel, gleichzeitig zwei Pflegekräfte in der Abteilung zu haben. Die Berichterstattung obligatorisch ist.
Alle Pflegekräfte müssen zwischen den Schichten mindestens 12 Stunden (720 Minuten) ausruhen. maximal 36 Stunden (2.160 Minuten) während des angegebenen Planungszeitraums arbeiten. Diese Einschränkungen haben eine hohe bzw. mittlere Priorität.
Mehrere Schichten pro Tag
Drei Schichten pro Tag werden als drei unabhängige Schichten dargestellt. Beispiel: Schichten für den ersten Tag (von vier Tagen) in der Abteilung Standort sind dargestellt als:
{
"shifts": [{
"id": "2023-05-01 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 19
}
}, {
"id": "2023-05-01 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 1
}
}, {
"id": "2023-05-01 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 7
}
},
...
]
}
Beispiel mit 12 Schichten (vier Tage mit drei Schichten pro Tag)
{
"shifts": [{
"id": "2023-05-01 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 19
}
}, {
"id": "2023-05-01 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 1
}
}, {
"id": "2023-05-01 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 7
}
}, {
"id": "2023-05-02 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 19
}
}, {
"id": "2023-05-02 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 1
}
}, {
"id": "2023-05-02 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 7
}
}, {
"id": "2023-05-03 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 19
}
}, {
"id": "2023-05-03 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 1
}
}, {
"id": "2023-05-03 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 7
}
}, {
"id": "2023-05-04 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 19
}
}, {
"id": "2023-05-04 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 5,
"hours": 1
}
}, {
"id": "2023-05-04 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 5,
"hours": 7
}
}]
}
Ruhepausen zwischen den Schichten
Um den Rest zwischen den Schichten für einen Mitarbeitenden darzustellen, verwenden Sie die
Feld minimumRestMinutes von einem
Zeitplaneinschränkung. Die Start- und Endzeiten
Die Einschränkung wird verwendet, um zu bestimmen, welche Verschiebungen berücksichtigt werden müssen.
sollte am Planungshorizont ausgerichtet sein, indem es sich mit allen Schichten überschneidet. Die
Die Ruhezeit wird in Minuten (720) angegeben und die Priorität ist PRIORITY_HIGH
oben beschrieben. Die erste Krankenschwester (Adam) wird so dargestellt:
{
"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
}]
}
}
Maximale Arbeitszeit
Die maximale Arbeitszeit eines Mitarbeiters wird ebenfalls durch ein
Zeitplaneinschränkung unter Verwendung von maximumMinutes
ein. Die maximale Arbeitszeit in diesem Beispiel beträgt 2.160 Minuten. Der Anfang und die
die Endzeiten der Einschränkung mit dem gesamten Planungshorizont übereinstimmen. Die
entsprechende Vertretung für die erste Krankenschwester (Adam) geändert werden zu:
{
"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
}]
}
}
Beispiel mit allen vier Mitarbeitenden
{
"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
}]
}, {
"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
}]
}, {
"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
}]
}, {
"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
}]
}]
}
Versicherungsleistung für registrierte Krankenschwestern
Die Abdeckung von zwei registrierten Krankenschwestern zu jedem Zeitpunkt wird durch eine
Anforderungen an die Abdeckung. Insbesondere
roleRequirements hat eins ausgefüllt
Rollenanforderung, für die roleId festgelegt ist
„Registrierte Krankenschwester“, targetEmployeeCount ist auf 2 und priority ist auf
PRIORITY_MANDATORY Beginn und Ende der Abdeckungsanforderung sollten
mit jeder Schicht überschneiden. Das Feld „locationId“ ist auf „department“ festgelegt damit
werden nur Änderungen
an diesem Standort berücksichtigt.
{
"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"]
}
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
}]
}, {
"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
}]
}, {
"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
}]
}, {
"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
}]
}],
"shifts": [{
"id": "2023-05-01 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 19
}
}, {
"id": "2023-05-01 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 1
}
}, {
"id": "2023-05-01 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 1,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 7
}
}, {
"id": "2023-05-02 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 19
}
}, {
"id": "2023-05-02 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 1
}
}, {
"id": "2023-05-02 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 2,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 7
}
}, {
"id": "2023-05-03 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 19
}
}, {
"id": "2023-05-03 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 1
}
}, {
"id": "2023-05-03 19hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 3,
"hours": 19
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 7
}
}, {
"id": "2023-05-04 7hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 7
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 19
}
}, {
"id": "2023-05-04 13hr",
"locationId": "department",
"startDateTime": {
"year": 2023,
"month": 5,
"day": 4,
"hours": 13
},
"endDateTime": {
"year": 2023,
"month": 5,
"day": 5,
"hours": 1
}
}, {
"id": "2023-05-04 19hr",
"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"]
}
Antwortbeispiel
Die Antwort des Matherechners umfasst die Zuweisung von Krankenschwestern in 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 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"
},
{
"employeeId": "Grace",
"shiftId": "2023-05-01 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Grace",
"shiftId": "2023-05-02 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Grace",
"shiftId": "2023-05-03 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Grace",
"shiftId": "2023-05-04 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "James",
"shiftId": "2023-05-01 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "James",
"shiftId": "2023-05-02 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "James",
"shiftId": "2023-05-03 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "James",
"shiftId": "2023-05-04 19hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Alonso",
"shiftId": "2023-05-01 7hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Alonso",
"shiftId": "2023-05-02 7hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Alonso",
"shiftId": "2023-05-03 7hr",
"roleId": "Registered Nurse"
},
{
"employeeId": "Alonso",
"shiftId": "2023-05-04 7hr",
"roleId": "Registered Nurse"
}
]
}