नर्स शेड्यूलिंग

किसी खास अस्पताल के डिपार्टमेंट की नर्स शेड्यूलिंग से जुड़ी समस्या के बारे में सोचें. हर दिन, 12-घंटे की तीन शिफ़्ट होती हैं. ये 7 घंटे, 13 घंटे, 19 घंटे से शुरू होती हैं. कॉन्टेंट बनाने प्लानिंग हॉराइज़न चार दिनों का है. यह 01-05-2023 से शुरू होगा और कुल 12 शिफ़्ट होगा. इन शिफ़्ट में चार नर्स को रजिस्टर किया जा सकता है. का लक्ष्य एक समय में उस डिपार्टमेंट में दो नर्सों को रखना हो. कवरेज शर्त ज़रूरी है.

सभी नर्सों को कम से कम 12 घंटे (720 मिनट) और शिफ़्ट के बीच में आराम करना होगा तय समयसीमा के दौरान, ज़्यादा से ज़्यादा 36 घंटे (2160 मिनट) काम कर सकता है. इन कंस्ट्रेंट की प्राथमिकता क्रम से ज़्यादा और मध्यम होती है.

हर दिन कई बार बदलाव

हर दिन तीन शिफ़्ट होने का मतलब है कि तीन अलग-अलग शिफ़्ट हो रही हैं. उदाहरण के लिए, "डिपार्टमेंट" में पहले दिन (चार दिनों में से) की शिफ़्ट जगह है यह इस तरह दिखाया जाता है:

  {
    "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
      }
    },
    ...
    ]
  }

12 शिफ़्ट वाला उदाहरण (हर दिन तीन शिफ़्ट के साथ चार दिन)


    {
      "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
      }
    }]
  }
  

शिफ़्ट के बीच आराम करें

किसी कर्मचारी के लिए, शिफ़्ट के बीच के बाकी हिस्सों को दिखाने के लिए, minimumRestMinutes फ़ील्ड में शेड्यूलिंग कंस्ट्रेंट. इसके प्रारंभ और समाप्ति समय कंस्ट्रेंट का इस्तेमाल यह तय करने के लिए किया जाता है कि किन शिफ़्ट पर विचार करना है. इसलिए सभी शिफ़्ट को ओवरलैप करते हुए, उसे एक तय प्लान बनाना चाहिए. कॉन्टेंट बनाने आराम करने का समय मिनट (720) में बताया गया है और प्राथमिकता PRIORITY_HIGH है ऊपर बताया गया है. पहली नर्स (जिसे ऐडम कहा जाता है) का मतलब इस तरह से है:

  {
    "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
      }]
    }
  }

काम करने का ज़्यादा से ज़्यादा समय

कर्मचारी, ज़्यादा से ज़्यादा कितने समय तक काम कर सकता है, यह जानकारी maximumMinutes का इस्तेमाल करके, शेड्यूलिंग कंस्ट्रेंट फ़ील्ड में डालें. इस उदाहरण में काम ज़्यादा से ज़्यादा 2,160 मिनट का हो सकता है. शुरुआत और कंस्ट्रेंट के खत्म होने का समय, पूरी प्लानिंग की सोच के हिसाब से होना चाहिए. कॉन्टेंट बनाने पहली नर्स (एडम) के लिए प्रतिनिधित्व का हिसाब इसमें अपडेट किया जा सकता है:

  {
    "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
      }]
    }
  }

सभी चार कर्मचारियों के साथ उदाहरण


  {
      "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
        }]
      }]
  }
  

रजिस्टर किए गए नर्स के लिए कवरेज

किसी भी समय रजिस्टर की गई दो नर्सों के कवरेज को कवरेज से जुड़ी ज़रूरी शर्तें पूरी करनी होंगी. खास तौर पर, roleRequirements में एक फ़ील्ड भरा गया है भूमिका से जुड़ी ज़रूरी शर्त, जिसके लिए roleId को सेट किया गया है "रजिस्टर की गई नर्स", targetEmployeeCount को 2 पर सेट किया गया है, और priority को इस पर सेट किया गया है PRIORITY_MANDATORY. कवरेज से जुड़ी ज़रूरी शर्तों के शुरू और खत्म होने का समय ऐसा होना चाहिए हर शिफ़्ट के साथ ओवरलैप करते हैं. locationId फ़ील्ड को "डिपार्टमेंट" पर सेट किया गया है ताकि सिर्फ़ इस जगह पर होने वाले बदलावों को ध्यान में रखा जाता है.

  {
    "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"]
  }

पूरे अनुरोध का उदाहरण


    {
      "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"]
    }
    

रिस्पॉन्स का उदाहरण

सॉल्वर के जवाब में, नर्सों को शिफ़्ट में असाइन किया जाता है और ऑप्टिमाइज़ेशन प्रोसेस की स्थिति. उदाहरण के लिए, पहले कर्मचारी को इस तरह लौटाया जाता है:

  {
    "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"
      },
      ... ]
  }

एक पूरे जवाब का उदाहरण


    {
      "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"
        }
      ]
    }