ضع في اعتبارك مشكلة جدولة الممرضات لقسم في مستشفى معين. يتمّ إجراء ثلاث نوبات يوميًا مدتها 12 ساعة وتبدأ من 7 ساعات و13 ساعة و19 ساعة. تشير رسالة الأشكال البيانية أفق التخطيط هو أربعة أيام، بدءًا من 2023-05-01، بإجمالي 12 عملية تبديل. هناك أربعة ممرضات مسجَّلين يمكن تكليفهم بهذه الورديات، وجود ممرضين في القسم في أي وقت. التغطية إلزاميًا.
يحتاج جميع الممرضات للراحة بين نوبات العمل لمدة 12 ساعة على الأقل (720 دقيقة)، يمكن أن تعمل لمدة 36 ساعة (2160 دقيقة) كحد أقصى خلال أفق التخطيط المحدد. هذه القيود لها أولوية عالية ومتوسطة، على التوالي.
نوبات عمل متعددة في اليوم
يتم تمثيل ثلاث ورديات في اليوم كثلاث ورديات مستقلة. على سبيل المثال: نوبات العمل لليوم الأول (من أربعة أيام) في "القسم" الموقع الجغرافي هي ممثلة على النحو التالي:
{
"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
}
},
...
]
}
مثال مع 12 عملية تبديل (أربعة أيام مع ثلاث نوبات عمل في اليوم)
{
"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
}
}]
}
استراحة بين نوبات العمل
لتمثيل الباقي بين نوبات العمل، استخدم
الحقل minimumRestMinutes من
قيد الجدولة. أوقات البدء والانتهاء
واستخدام القيد لتحديد التحولات التي يجب مراعاتها، وبالتالي
يجب أن تتماشى مع أفق التخطيط من خلال التداخل مع جميع التحولات. تشير رسالة الأشكال البيانية
يتم تحديد وقت الراحة بالدقائق (720) والأولوية هي PRIORITY_HIGH
المذكورة أعلاه. يتم تمثيل الممرض الأول (باسم آدم)، على النحو التالي:
{
"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
}]
}
}
الحدّ الأقصى لوقت العمل
يتم أيضًا تمثيل الحد الأقصى لمقدار الوقت الذي يمكن للموظف العمل فيه
قيد الجدولة، باستخدام maximumMinutes
. الحد الأقصى لوقت العمل في هذا المثال هو 2160 دقيقة. تُعد البداية
ينبغي أن تتماشى أوقات الانتهاء للقيد مع أفق التخطيط بالكامل. تشير رسالة الأشكال البيانية
يمكن تعديل التمثيل المقابل للممرض الأول (آدم) إلى:
{
"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
}]
}
}
مثال يظهر فيه جميع الموظفين الأربعة
{
"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
}]
}]
}
تغطية الممرضات المسجَّلات
يتم تمثيل تغطية ممرضين مسجَّلين في أي وقت من خلال
متطلبات التغطية: وعلى وجه الخصوص،
تم ملء قيمة roleRequirements بواحدة.
متطلب الدور الذي تم ضبط roleId له
تم ضبط "ممرضة مسجّلة" وtargetEmployeeCount على 2، وتم ضبط priority على
PRIORITY_MANDATORY يجب أن يكون وقت بدء وانتهاء متطلبات التغطية
مع كل نوبة عمل. تم ضبط الحقل locationId على "department". بحيث
لا يتم النظر إلا في الورديات التي تحدث في هذا الموقع.
{
"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"]
}
مثال على طلب كامل
{
"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"]
}
مثال على الردّ
يتضمن الرد على أداة الحلّ تكليف الممرضات بنوبات العمل حالة إجراء التحسين. على سبيل المثال، تشير التحولات المخصصة يتم إرجاع الموظف الأول على النحو التالي:
{
"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"
},
... ]
}
مثال على ردّ كامل
{
"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"
}
]
}