{
  "example_kind": "original synthetic manual planning case",
  "slug": "queue-net-drain-scenario",
  "title": "Explore a deterministic queue-drain scenario",
  "scenario": "Synthetic planning case: An invented queue opens with twelve requests. Each day two arrive before a review window that can finish five distinct requests. Capacity and arrival counts are held fixed in this scenario.",
  "layout": "evaluation",
  "dataset": {
    "heading": "Inspect the invented case records",
    "headers": [
      "Scenario day",
      "Opening",
      "Arrivals",
      "Accepted exits",
      "Closing"
    ],
    "rows": [
      [
        "1",
        "12",
        "2",
        "5",
        "9"
      ],
      [
        "2",
        "9",
        "2",
        "5",
        "6"
      ],
      [
        "3",
        "6",
        "2",
        "5",
        "3"
      ],
      [
        "4",
        "3",
        "2",
        "5",
        "0"
      ]
    ]
  },
  "derivation": "Net reduction=5−2=3 per day; 12/3=4 days. Gross service of five is not the net queue-drain rate while two new requests continue arriving.",
  "result": "The queue falls by three requests per day and reaches zero after four scenario days. Label this a deterministic illustration, not a calibrated clearance forecast.",
  "boundary": "The decision distinguishes net backlog reduction from gross processing capacity.",
  "limitations": "No stochastic queue model or confidence interval is supplied. Timing of arrivals and service is part of the declared example.",
  "sources": [
    "kanban"
  ],
  "tasks": [
    [
      "Declare fixed scenario inputs",
      "Planning owner",
      "Two arrivals and five accepted exits per day are assumptions, not observed guarantees."
    ],
    [
      "Track the daily balance",
      "Queue coordinator",
      "Each day preserves opening plus arrivals minus exits."
    ],
    [
      "Check the assumptions before commitment",
      "Receiving lead",
      "Different arrival, eligibility or review rates trigger a new scenario rather than a four-day promise."
    ]
  ],
  "faqs": [
    [
      "What if daily arrivals reach five?",
      "Under the same service assumption there is no net reduction; this four-day result no longer applies."
    ],
    [
      "Does historical average service justify the fixed daily input?",
      "Not alone. Variability and future context remain unmodelled."
    ]
  ],
  "method_references": [
    {
      "id": "kanban",
      "title": "The Kanban Guide",
      "url": "https://kanbanguides.org/the-kanban-guide/",
      "scope": "Workflow and flow-measure context. Queue policies and staffing scenarios are explicitly local examples, not delivery guarantees."
    }
  ]
}