{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b4150bf9",
   "metadata": {},
   "source": [
    "# Ensemble Resilience Comparison\n",
    "\n",
    "Compare stochastic playback statistics across synthetic small, medium, and large scenarios."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "62390b55",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-11-14T10:34:57.949949Z",
     "iopub.status.busy": "2025-11-14T10:34:57.949513Z",
     "iopub.status.idle": "2025-11-14T10:34:58.954118Z",
     "shell.execute_reply": "2025-11-14T10:34:58.953480Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>tier</th>\n",
       "      <th>mean_production</th>\n",
       "      <th>std_production</th>\n",
       "      <th>mean_downtime_hours</th>\n",
       "      <th>samples</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>small</td>\n",
       "      <td>31.492000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>medium</td>\n",
       "      <td>19.531887</td>\n",
       "      <td>2.835559</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>large</td>\n",
       "      <td>18.434501</td>\n",
       "      <td>4.424468</td>\n",
       "      <td>0.0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     tier  mean_production  std_production  mean_downtime_hours  samples\n",
       "0   small        31.492000        0.000000                  0.0        4\n",
       "1  medium        19.531887        2.835559                  0.0        4\n",
       "2   large        18.434501        4.424468                  0.0        4"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sys\n",
    "from pathlib import Path\n",
    "\n",
    "PROJECT_ROOT = Path.cwd().resolve()\n",
    "while PROJECT_ROOT != PROJECT_ROOT.parent and not (PROJECT_ROOT / \"pyproject.toml\").exists():\n",
    "    PROJECT_ROOT = PROJECT_ROOT.parent\n",
    "if not (PROJECT_ROOT / \"pyproject.toml\").exists():\n",
    "    raise RuntimeError(\n",
    "        \"Notebook must be executed within a FHOPS checkout (pyproject.toml not found).\"\n",
    "    )\n",
    "if str(PROJECT_ROOT) not in sys.path:\n",
    "    sys.path.insert(0, str(PROJECT_ROOT))\n",
    "\n",
    "import pandas as pd\n",
    "from IPython.display import display\n",
    "\n",
    "from docs.examples.analytics import utils\n",
    "from fhops.scenario.synthetic import SyntheticDatasetConfig\n",
    "\n",
    "SCENARIOS = [\n",
    "    (\n",
    "        \"small\",\n",
    "        PROJECT_ROOT / \"examples/synthetic/small/scenario.yaml\",\n",
    "        PROJECT_ROOT / \"docs/examples/analytics/data/synthetic_small_sa_assignments.csv\",\n",
    "    ),\n",
    "    (\n",
    "        \"medium\",\n",
    "        PROJECT_ROOT / \"examples/synthetic/medium/scenario.yaml\",\n",
    "        PROJECT_ROOT / \"docs/examples/analytics/data/synthetic_medium_sa_assignments.csv\",\n",
    "    ),\n",
    "    (\n",
    "        \"large\",\n",
    "        PROJECT_ROOT / \"examples/synthetic/large/scenario.yaml\",\n",
    "        PROJECT_ROOT / \"docs/examples/analytics/data/synthetic_large_sa_assignments.csv\",\n",
    "    ),\n",
    "]\n",
    "\n",
    "summary_rows = []\n",
    "ensemble_tables = {}\n",
    "for tier, scenario_path, assign_path in SCENARIOS:\n",
    "    config = SyntheticDatasetConfig(\n",
    "        name=f\"synthetic-{tier}\", tier=tier, num_blocks=8, num_days=12, num_machines=4\n",
    "    )\n",
    "    tables, sampling = utils.run_stochastic_summary(scenario_path, assign_path, tier=tier)\n",
    "    ensemble_tables[tier] = tables\n",
    "    production = tables.shift.groupby(\"sample_id\")[\"production_units\"].sum()\n",
    "    downtime = tables.shift.groupby(\"sample_id\")[\"downtime_hours\"].sum()\n",
    "    summary_rows.append(\n",
    "        {\n",
    "            \"tier\": tier,\n",
    "            \"mean_production\": production.mean(),\n",
    "            \"std_production\": production.std(),\n",
    "            \"mean_downtime_hours\": downtime.mean(),\n",
    "            \"samples\": tables.shift[\"sample_id\"].nunique(),\n",
    "        }\n",
    "    )\n",
    "summary_df = pd.DataFrame(summary_rows)\n",
    "summary_df"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6173e42",
   "metadata": {},
   "source": [
    "## Production Distributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2911a00e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-11-14T10:34:58.957355Z",
     "iopub.status.busy": "2025-11-14T10:34:58.957184Z",
     "iopub.status.idle": "2025-11-14T10:34:59.598515Z",
     "shell.execute_reply": "2025-11-14T10:34:59.597654Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KzMwU5HK58OmnnwpOTk6CkZGR0KlTJ+HAgQMqlx1VXLLy2WefqV1WQkKC0KlTJ8HQ0FBwcXERNm3aJMyaNUswNjZW6fvjjz8KPXr0EMzMzAQzMzOhdevWwtSpU4XU1NQqrc/zLjcThCeX55iZman9rLCwUJg5c6bg4OAgGBgYCC1bthQ+++wzpctjBEEQiouLhdDQUKFBgwaCmZmZMGjQICEzM1PlUhxBEISjR48K7dq1EwwNDQVXV1dh+/btKpdnVdiyZYvQqVMnwcjISLC2thZ8fHyE+Ph4xec5OTmCv7+/YGFhIQBQXKpV2aVEsbGxivnVr19fGDVqlOIytReNR2U1PsvHx0fpe2Nubi60bNlSGD16tHD06FG10zx7edayZcuErl27CvXq1RNMTEyE1q1bC8uXLxdKS0sVfcrLy4Vp06YJNjY2gkQiUdT2vO9eZZdnmZmZCWlpaUK/fv0EU1NTwc7OTggPD1e5NC4/P194++23BVNTU8Ha2lp4//33hUuXLqnMs7LaBEH18ixBEITk5GTBz89PMDc3F0xNTYU+ffoIp0+fVupT2fe5sp816ZZEEHjWAL16AgICanxJDhGRGPAYNb30iouLld5fu3YNhw4dUtwCk4joZcYtanrpNWrUCOPGjUPz5s1x69YtbNy4ESUlJbhw4UKl100TEb0seDIZvfT69++P7777Djk5OTAyMoK3tzc+/fRThjQRvRK4RU1ERCRiPEZNREQkYgxqIiIiEXvtjlHL5XJkZWXBwsJCq7cNJCIiqipBEFBYWAgHB4cXPhvgtQvqrKws3u+WiIhEITMzU+Vpe8967YK64oEImZmZvO8tERHpREFBARwdHZ/7iNYKr11QV+zutrS0ZFATEZFOVeUQLE8mIyIiEjEGNRERkYgxqImIiERMp0H9008/YdCgQXBwcIBEIsHevXtfOE1SUhI6d+4MIyMjtGjRAjExMbVeJxERka7oNKiLiorQsWNHrF+/vkr909PT4e/vjz59+iAlJQUzZszAhAkTcOTIkVqulIiISDd0etb3gAEDMGDAgCr3j46ORrNmzbBmzRoAQJs2bXDy5El8/vnn8PPzq60yiYiIdOalOkZ95swZ+Pr6KrX5+fnhzJkzlU5TUlKCgoICpRcREdHL4qW6jjonJwd2dnZKbXZ2digoKEBxcTFMTExUpomIiMDixYtrrabh/6r8j4Tq2jnJW2vzIqJXlzZ/72iTWH+Hvey/p1+qLWpNzJs3Dw8ePFC8MjMzdV0SERFRlb1UW9T29vbIzc1VasvNzYWlpaXarWkAMDIygpGRUV2UR0REpHUv1Ra1t7c3EhISlNri4+Ph7S3O3S1EREQ1pdOgfvjwIVJSUpCSkgLgyeVXKSkpyMjIAPBkt/XYsWMV/SdPnowbN27gww8/xJUrV7BhwwZ8//33mDlzpi7KJyIiqnU6Depz586hU6dO6NSpEwAgLCwMnTp1wsKFCwEA2dnZitAGgGbNmuHgwYOIj49Hx44dsWbNGmzatImXZhER0StLp8eoe/fuDUEQKv1c3V3HevfujQsXLtRiVUREROLxUh2jJiIiet0wqImIiESMQU1ERCRiDGoiIiIRY1ATERGJGIOaiIhIxBjUREREIsagJiIiEjEGNRERkYgxqImIiESMQU1ERCRiDGoiIiIRY1ATERGJGIOaiIhIxBjUREREIsagJiIiEjEGNRERkYgxqImIiESMQU1ERCRiDGoiIiIRY1ATERGJGIOaiIhIxBjUREREIsagJiIiEjEGNRERkYgxqImIiESMQU1ERCRiOg/q9evXw9nZGcbGxvDy8sLZs2ef2z8qKgqurq4wMTGBo6MjZs6cicePH9dRtURERHVLp0EdGxuLsLAwhIeHIzk5GR07doSfnx/y8vLU9t+xYwc++ugjhIeH4/Lly9i8eTNiY2Px8ccf13HlREREdUOnQR0ZGYmJEyciODgYbm5uiI6OhqmpKbZs2aK2/+nTp9G9e3eMHDkSzs7O6NevH0aMGPHCrXAiIqKXlc6CurS0FOfPn4evr+/fxejpwdfXF2fOnFE7Tbdu3XD+/HlFMN+4cQOHDh3CwIED66RmIiKiuqavqwXfvXsXMpkMdnZ2Su12dna4cuWK2mlGjhyJu3fvokePHhAEAeXl5Zg8efJzd32XlJSgpKRE8b6goEA7K0BERFQHdH4yWXUkJSXh008/xYYNG5CcnIzdu3fj4MGDWLp0aaXTREREwMrKSvFydHSsw4qJiIhqRmdb1A0bNoRUKkVubq5Se25uLuzt7dVOs2DBAowZMwYTJkwAALRv3x5FRUWYNGkS5s+fDz091b875s2bh7CwMMX7goIChjUREb00dLZFbWhoCA8PDyQkJCja5HI5EhIS4O3trXaaR48eqYSxVCoFAAiCoHYaIyMjWFpaKr2IiIheFjrbogaAsLAwBAUFwdPTE127dkVUVBSKiooQHBwMABg7diwaN26MiIgIAMCgQYMQGRmJTp06wcvLC9evX8eCBQswaNAgRWATERG9SnQa1IGBgcjPz8fChQuRk5MDd3d3xMXFKU4wy8jIUNqC/uSTTyCRSPDJJ5/gzp07sLGxwaBBg7B8+XJdrQIREVGt0mlQA0BISAhCQkLUfpaUlKT0Xl9fH+Hh4QgPD6+DyoiIiHTvpTrrm4iI6HXDoCYiIhIxBjUREZGIMaiJiIhEjEFNREQkYgxqIiIiEWNQExERiRiDmoiISMQY1ERERCLGoCYiIhIxBjUREZGIMaiJiIhEjEFNREQkYgxqIiIiEdMoqG/cuKHtOoiIiEgNjYK6RYsW6NOnD7Zv347Hjx9ruyYiIiL6fxoFdXJyMjp06ICwsDDY29vj/fffx9mzZ7VdGxER0WtPo6B2d3fH2rVrkZWVhS1btiA7Oxs9evRAu3btEBkZifz8fG3XSURE9Fqq0clk+vr6GDp0KHbt2oWVK1fi+vXrmD17NhwdHTF27FhkZ2drq04iIqLXUo2C+ty5c5gyZQoaNWqEyMhIzJ49G2lpaYiPj0dWVhYGDx6srTqJiIheS/qaTBQZGYmtW7ciNTUVAwcOxLZt2zBw4EDo6T3J/WbNmiEmJgbOzs7arJWIiOi1o1FQb9y4Ee+99x7GjRuHRo0aqe1ja2uLzZs316g4IiKi151GQX3t2rUX9jE0NERQUJAmsyciIqL/p9Ex6q1bt2LXrl0q7bt27cI333xT46KIiIjoCY2COiIiAg0bNlRpt7W1xaefflrjooiIiOgJjYI6IyMDzZo1U2l3cnJCRkZGjYsiIiKiJzQKaltbW1y8eFGl/bfffkODBg1qXBQRERE9oVFQjxgxAqGhoUhMTIRMJoNMJsPx48cxffp0DB8+XNs1EhERvbY0CuqlS5fCy8sLffv2hYmJCUxMTNCvXz+88cYb1T5GvX79ejg7O8PY2BheXl4vvGf4/fv3MXXqVDRq1AhGRkZo1aoVDh06pMlqEBERiZ5Gl2cZGhoiNjYWS5cuxW+//QYTExO0b98eTk5O1ZpPbGwswsLCEB0dDS8vL0RFRcHPzw+pqamwtbVV6V9aWoo333wTtra2+OGHH9C4cWPcunUL9erV02Q1iIiIRE+joK7QqlUrtGrVSuPpIyMjMXHiRAQHBwMAoqOjcfDgQWzZsgUfffSRSv8tW7bg3r17OH36NAwMDACAdz8jIqJXmkZBLZPJEBMTg4SEBOTl5UEulyt9fvz48RfOo7S0FOfPn8e8efMUbXp6evD19cWZM2fUTrN//354e3tj6tSp2LdvH2xsbDBy5EjMnTsXUqlUk1UhIiISNY2Cevr06YiJiYG/vz/atWsHiURS7XncvXsXMpkMdnZ2Su12dna4cuWK2mlu3LiB48ePY9SoUTh06BCuX7+OKVOmoKysDOHh4WqnKSkpQUlJieJ9QUFBtWslIiLSFY2CeufOnfj+++8xcOBAbdfzXHK5HLa2tvjXv/4FqVQKDw8P3LlzB5999lmlQR0REYHFixfXaZ1ERETaotFZ34aGhmjRokWNFtywYUNIpVLk5uYqtefm5sLe3l7tNI0aNUKrVq2UdnO3adMGOTk5KC0tVTvNvHnz8ODBA8UrMzOzRnUTERHVJY2CetasWVi7di0EQdB4wYaGhvDw8EBCQoKiTS6XIyEhAd7e3mqn6d69O65fv650TPzq1ato1KgRDA0N1U5jZGQES0tLpRcREdHLQqNd3ydPnkRiYiIOHz6Mtm3bKs7ArrB79+4qzScsLAxBQUHw9PRE165dERUVhaKiIsVZ4GPHjkXjxo0REREBAPjggw+wbt06TJ8+HdOmTcO1a9fw6aefIjQ0VJPVICIiEj2NgrpevXoYMmRIjRceGBiI/Px8LFy4EDk5OXB3d0dcXJziBLOMjAzo6f290e/o6IgjR45g5syZ6NChAxo3bozp06dj7ty5Na6FiIhIjDQK6q1bt2qtgJCQEISEhKj9LCkpSaXN29sbv/zyi9aWT0REJGYaHaMGgPLychw7dgxfffUVCgsLAQBZWVl4+PCh1oojIiJ63Wm0RX3r1i30798fGRkZKCkpwZtvvgkLCwusXLkSJSUliI6O1nadREREryWNtqinT58OT09P/PXXXzAxMVG0DxkyROksbiIiIqoZjbaof/75Z5w+fVrlkihnZ2fcuXNHK4URERGRhlvUcrkcMplMpf327duwsLCocVFERET0hEZB3a9fP0RFRSneSyQSPHz4EOHh4XV+W1EiIqJXmUa7vtesWQM/Pz+4ubnh8ePHGDlyJK5du4aGDRviu+++03aNREREry2NgrpJkyb47bffsHPnTly8eBEPHz7E+PHjMWrUKKWTy4iIiKhmNApqANDX18fo0aO1WQsRERE9Q6Og3rZt23M/Hzt2rEbFEBERkTKNgnr69OlK78vKyvDo0SMYGhrC1NSUQU1ERKQlGp31/ddffym9Hj58iNTUVPTo0YMnkxEREWmRxvf6flbLli2xYsUKla1tIiIi0pzWghp4coJZVlaWNmdJRET0WtPoGPX+/fuV3guCgOzsbKxbtw7du3fXSmFERESkYVAHBAQovZdIJLCxscEbb7yBNWvWaKMuIiIigoZBLZfLtV0HERERqaHVY9RERESkXRptUYeFhVW5b2RkpCaLICIiImgY1BcuXMCFCxdQVlYGV1dXAMDVq1chlUrRuXNnRT+JRKKdKomIiF5TGgX1oEGDYGFhgW+++QbW1tYAntwEJTg4GD179sSsWbO0WiQREdHrSqNj1GvWrEFERIQipAHA2toay5Yt41nfREREWqRRUBcUFCA/P1+lPT8/H4WFhTUuioiIiJ7QKKiHDBmC4OBg7N69G7dv38bt27fx448/Yvz48Rg6dKi2ayQiInptaXSMOjo6GrNnz8bIkSNRVlb2ZEb6+hg/fjw+++wzrRZIRET0OtMoqE1NTbFhwwZ89tlnSEtLAwC4uLjAzMxMq8URERG97mp0w5Ps7GxkZ2ejZcuWMDMzgyAI2qqLiIiIoGFQ/+9//0Pfvn3RqlUrDBw4ENnZ2QCA8ePH89IsIiIiLdIoqGfOnAkDAwNkZGTA1NRU0R4YGIi4uLhqz2/9+vVwdnaGsbExvLy8cPbs2SpNt3PnTkgkEpWHhBAREb0qNArqo0ePYuXKlWjSpIlSe8uWLXHr1q1qzSs2NhZhYWEIDw9HcnIyOnbsCD8/P+Tl5T13ups3b2L27Nno2bNntesnIiJ6WWgU1EVFRUpb0hXu3bsHIyOjas0rMjISEydORHBwMNzc3BAdHQ1TU1Ns2bKl0mlkMhlGjRqFxYsXo3nz5tWun4iI6GWhUVD37NkT27ZtU7yXSCSQy+VYtWoV+vTpU+X5lJaW4vz58/D19f27ID09+Pr64syZM5VOt2TJEtja2mL8+PGalE9ERPTS0OjyrFWrVqFv3744d+4cSktL8eGHH+KPP/7AvXv3cOrUqSrP5+7du5DJZLCzs1Nqt7Ozw5UrV9ROc/LkSWzevBkpKSlVWkZJSQlKSkoU7wsKCqpcHxERka5ptEXdrl07XL16FT169MDgwYNRVFSEoUOH4sKFC3BxcdF2jQqFhYUYM2YMvv76azRs2LBK00RERMDKykrxcnR0rLX6iIiItK3aW9RlZWXo378/oqOjMX/+/BotvGHDhpBKpcjNzVVqz83Nhb29vUr/tLQ03Lx5E4MGDVK0yeVyAE/ujJaamqryh8K8efOUnp9dUFDAsCYiopdGtYPawMAAFy9e1MrCDQ0N4eHhgYSEBMUlVnK5HAkJCQgJCVHp37p1a/z+++9KbZ988gkKCwuxdu1atQFsZGRU7RPciIiIxEKjY9SjR4/G5s2bsWLFihoXEBYWhqCgIHh6eqJr166IiopCUVERgoODAQBjx45F48aNERERAWNjY7Rr105p+nr16gGASjsREdGrQKOgLi8vx5YtW3Ds2DF4eHio3OM7MjKyyvMKDAxEfn4+Fi5ciJycHLi7uyMuLk5xgllGRgb09Gp0p1MiIqKXVrWC+saNG3B2dsalS5fQuXNnAMDVq1eV+kgkkmoXERISonZXNwAkJSU9d9qYmJhqL4+IiOhlUa2gbtmyJbKzs5GYmAjgydbwF198oXJ5FREREWlHtfYpP/t0rMOHD6OoqEirBREREdHfanTwl4+1JCIiql3VCmqJRKJyDFqTY9JERERUNdU6Ri0IAsaNG6e4Lvnx48eYPHmyylnfu3fv1l6FREREr7FqBXVQUJDS+9GjR2u1GCIiIlJWraDeunVrbdVBREREavBOIkRERCLGoCYiIhIxBjUREZGIMaiJiIhEjEFNREQkYgxqIiIiEWNQExERiRiDmoiISMQY1ERERCLGoCYiIhIxBjUREZGIMaiJiIhEjEFNREQkYgxqIiIiEWNQExERiRiDmoiISMQY1ERERCLGoCYiIhIxBjUREZGIMaiJiIhEjEFNREQkYqII6vXr18PZ2RnGxsbw8vLC2bNnK+379ddfo2fPnrC2toa1tTV8fX2f25+IiOhlpvOgjo2NRVhYGMLDw5GcnIyOHTvCz88PeXl5avsnJSVhxIgRSExMxJkzZ+Do6Ih+/frhzp07dVw5ERFR7dN5UEdGRmLixIkIDg6Gm5sboqOjYWpqii1btqjt/+9//xtTpkyBu7s7WrdujU2bNkEulyMhIaGOKyciIqp9Og3q0tJSnD9/Hr6+voo2PT09+Pr64syZM1Wax6NHj1BWVob69evXVplEREQ6o6/Lhd+9excymQx2dnZK7XZ2drhy5UqV5jF37lw4ODgohf3TSkpKUFJSonhfUFCgecFERER1TOe7vmtixYoV2LlzJ/bs2QNjY2O1fSIiImBlZaV4OTo61nGVREREmtNpUDds2BBSqRS5ublK7bm5ubC3t3/utKtXr8aKFStw9OhRdOjQodJ+8+bNw4MHDxSvzMxMrdRORERUF3Qa1IaGhvDw8FA6EazixDBvb+9Kp1u1ahWWLl2KuLg4eHp6PncZRkZGsLS0VHoRERG9LHR6jBoAwsLCEBQUBE9PT3Tt2hVRUVEoKipCcHAwAGDs2LFo3LgxIiIiAAArV67EwoULsWPHDjg7OyMnJwcAYG5uDnNzc52tBxERUW3QeVAHBgYiPz8fCxcuRE5ODtzd3REXF6c4wSwjIwN6en9v+G/cuBGlpaV45513lOYTHh6ORYsW1WXpREREtU7nQQ0AISEhCAkJUftZUlKS0vubN2/WfkFEREQi8VKf9U1ERPSqY1ATERGJGIOaiIhIxBjUREREIsagJiIiEjEGNRERkYgxqImIiESMQU1ERCRiDGoiIiIRY1ATERGJGIOaiIhIxBjUREREIsagJiIiEjEGNRERkYgxqImIiESMQU1ERCRiDGoiIiIRY1ATERGJGIOaiIhIxBjUREREIsagJiIiEjEGNRERkYgxqImIiESMQU1ERCRiDGoiIiIRY1ATERGJGIOaiIhIxBjUREREIiaKoF6/fj2cnZ1hbGwMLy8vnD179rn9d+3ahdatW8PY2Bjt27fHoUOH6qhSIiKiuqXzoI6NjUVYWBjCw8ORnJyMjh07ws/PD3l5eWr7nz59GiNGjMD48eNx4cIFBAQEICAgAJcuXarjyomIiGqfzoM6MjISEydORHBwMNzc3BAdHQ1TU1Ns2bJFbf+1a9eif//+mDNnDtq0aYOlS5eic+fOWLduXR1XTkREVPt0GtSlpaU4f/48fH19FW16enrw9fXFmTNn1E5z5swZpf4A4OfnV2l/IiKil5m+Lhd+9+5dyGQy2NnZKbXb2dnhypUraqfJyclR2z8nJ0dt/5KSEpSUlCjeP3jwAABQUFBQk9IVyoqLtDIfQHs1EdGrTZu/d7RJrL/DxPh7umI+giC8sK9Og7ouREREYPHixSrtjo6OOqjm+XbP0HUFRESaex1+h2l7HQsLC2FlZfXcPjoN6oYNG0IqlSI3N1epPTc3F/b29mqnsbe3r1b/efPmISwsTPFeLpfj3r17aNCgASQSSQ3X4ImCggI4OjoiMzMTlpaWWpnnq45jVj0cr+rheFUfx6x6ajpegiCgsLAQDg4OL+yr06A2NDSEh4cHEhISEBAQAOBJkCYkJCAkJETtNN7e3khISMCMGTMUbfHx8fD29lbb38jICEZGRkpt9erV00b5KiwtLfkFryaOWfVwvKqH41V9HLPqqcl4vWhLuoLOd32HhYUhKCgInp6e6Nq1K6KiolBUVITg4GAAwNixY9G4cWNEREQAAKZPnw4fHx+sWbMG/v7+2LlzJ86dO4d//etfulwNIiKiWqHzoA4MDER+fj4WLlyInJwcuLu7Iy4uTnHCWEZGBvT0/j45vVu3btixYwc++eQTfPzxx2jZsiX27t2Ldu3a6WoViIiIao3OgxoAQkJCKt3VnZSUpNL27rvv4t13363lqqrOyMgI4eHhKrvYqXIcs+rheFUPx6v6OGbVU5fjJRGqcm44ERER6YTO70xGRERElWNQExERiRiDmoiISMQY1NXw008/YdCgQXBwcIBEIsHevXsVn5WVlWHu3Llo3749zMzM4ODggLFjxyIrK0t3BevY88brWZMnT4ZEIkFUVFSd1SdGVRmzy5cv46233oKVlRXMzMzQpUsXZGRk1H2xIvCi8Xr48CFCQkLQpEkTmJiYKB7887qKiIhAly5dYGFhAVtbWwQEBCA1NVWpz+PHjzF16lQ0aNAA5ubmePvtt1VuMvW6eNF43bt3D9OmTYOrqytMTEzQtGlThIaGKm5VrS0M6mooKipCx44dsX79epXPHj16hOTkZCxYsADJycnYvXs3UlNT8dZbb+mgUnF43ng9bc+ePfjll1+qdIeeV92LxiwtLQ09evRA69atkZSUhIsXL2LBggUwNjau40rF4UXjFRYWhri4OGzfvh2XL1/GjBkzEBISgv3799dxpeJw4sQJTJ06Fb/88gvi4+NRVlaGfv36oajo73thz5w5E//5z3+wa9cunDhxAllZWRg6dKgOq9adF41XVlYWsrKysHr1aly6dAkxMTGIi4vD+PHjtVuIQBoBIOzZs+e5fc6ePSsAEG7dulU3RYlYZeN1+/ZtoXHjxsKlS5cEJycn4fPPP6/z2sRK3ZgFBgYKo0eP1k1BIqduvNq2bSssWbJEqa1z587C/Pnz67Ay8crLyxMACCdOnBAEQRDu378vGBgYCLt27VL0uXz5sgBAOHPmjK7KFI1nx0ud77//XjA0NBTKysq0tlxuUdeiBw8eQCKR1NotS192crkcY8aMwZw5c9C2bVtdlyN6crkcBw8eRKtWreDn5wdbW1t4eXk995DC665bt27Yv38/7ty5A0EQkJiYiKtXr6Jfv366Lk0UKnbR1q9fHwBw/vx5lJWVKT1KuHXr1mjatCkfJQzV8aqsj6WlJfT1tXebEgZ1LXn8+DHmzp2LESNG8L65lVi5ciX09fURGhqq61JeCnl5eXj48CFWrFiB/v374+jRoxgyZAiGDh2KEydO6Lo8Ufryyy/h5uaGJk2awNDQEP3798f69evRq1cvXZemc3K5HDNmzED37t0Vd3bMycmBoaGhysbF8x4l/LpQN17Punv3LpYuXYpJkyZpddmiuDPZq6asrAzDhg2DIAjYuHGjrssRpfPnz2Pt2rVITk7W2lPMXnVyuRwAMHjwYMycORMA4O7ujtOnTyM6Oho+Pj66LE+UvvzyS/zyyy/Yv38/nJyc8NNPP2Hq1KlwcHBQ2mp8HU2dOhWXLl3CyZMndV3KS+FF41VQUAB/f3+4ublh0aJFWl02g1rLKkL61q1bOH78OLemK/Hzzz8jLy8PTZs2VbTJZDLMmjULUVFRuHnzpu6KE6mGDRtCX18fbm5uSu1t2rThL1s1iouL8fHHH2PPnj3w9/cHAHTo0AEpKSlYvXr1ax3UISEhOHDgAH766Sc0adJE0W5vb4/S0lLcv39faav6eY8Sfh1UNl4VCgsL0b9/f1hYWGDPnj0wMDDQ6vK561uLKkL62rVrOHbsGBo0aKDrkkRrzJgxuHjxIlJSUhQvBwcHzJkzB0eOHNF1eaJkaGiILl26qFxOc/XqVTg5OemoKvEqKytDWVmZ0kN9AEAqlSr2TrxuBEFASEgI9uzZg+PHj6NZs2ZKn3t4eMDAwAAJCQmKttTUVGRkZFT6KOFX2YvGC3iyJd2vXz8YGhpi//79tXIFBreoq+Hhw4e4fv264n16ejpSUlJQv359NGrUCO+88w6Sk5Nx4MAByGQyxTGd+vXrw9DQUFdl68zzxqtp06Yqf8gYGBjA3t4erq6udV2qaLxozObMmYPAwED06tULffr0QVxcHP7zn/+ofXjN6+BF4+Xj44M5c+bAxMQETk5OOHHiBLZt24bIyEgdVq07U6dOxY4dO7Bv3z5YWFgofkdZWVnBxMQEVlZWGD9+PMLCwlC/fn1YWlpi2rRp8Pb2xj/+8Q8dV1/3XjReFSH96NEjbN++HQUFBSgoKAAA2NjYQCqVaqcQrZ0//hpITEwUAKi8goKChPT0dLWfARASExN1XbpOPG+81OHlWVUbs82bNwstWrQQjI2NhY4dOwp79+7VXcE69qLxys7OFsaNGyc4ODgIxsbGgqurq7BmzRpBLpfrtnAdqex31NatWxV9iouLhSlTpgjW1taCqampMGTIECE7O1t3RevQi8arsu8fACE9PV1rdfDpWURERCLGY9REREQixqAmIiISMQY1ERGRiDGoiYiIRIxBTUREJGIMaiIiIhFjUBMREYkYg5qIiEjEGNREr4Bx48YhICCg1pfj7OyMqKioWl+OtixatAju7u66LoOoRhjURLVk3LhxkEgkkEgkMDQ0RIsWLbBkyRKUl5frurQXiomJUXkmMQD8+uuvWn/WblWXDQASiQR79+6t8rxmz56t9ICJuvqDhkib+FAOolrUv39/bN26FSUlJTh06BCmTp0KAwMDzJs3T6VvaWmp6B/eYmNjo+sSqsXc3Bzm5ua6LoOoRrhFTVSLjIyMYG9vDycnJ3zwwQfw9fXF/v37Afy9dbd8+XI4ODgonhr2+++/44033oCJiQkaNGiASZMm4eHDh4p5ymQyhIWFoV69emjQoAE+/PBDPHvLfnW7qN3d3ZUeaH///n28//77sLOzg7GxMdq1a4cDBw4gKSkJwcHBePDggWKPQMV0z843IyMDgwcPhrm5OSwtLTFs2DDk5uYqPq/Y9fztt9/C2dkZVlZWGD58OAoLC2s8tklJSZBIJEhISICnpydMTU3RrVs3pceAPr3re9GiRfjmm2+wb98+xXolJSWhtLQUISEhaNSoEYyNjeHk5ISIiIga10ekLQxqojpkYmKC0tJSxfuEhASkpqYiPj4eBw4cQFFREfz8/GBtbY1ff/0Vu3btwrFjxxASEqKYZs2aNYiJicGWLVtw8uRJ3Lt3D3v27KlWHXK5HAMGDMCpU6ewfft2/Pnnn1ixYgWkUim6deuGqKgoWFpaIjs7G9nZ2Zg9e7baeQwePBj37t3DiRMnEB8fjxs3biAwMFCpX1paGvbu3YsDBw7gwIEDOHHiBFasWFHNkavc/PnzsWbNGpw7dw76+vp477331PabPXs2hg0bhv79+yvWq1u3bvjiiy+wf/9+fP/990hNTcW///1vODs7a60+oprirm+iOiAIAhISEnDkyBFMmzZN0W5mZoZNmzYpdnl//fXXePz4MbZt2wYzMzMAwLp16zBo0CCsXLkSdnZ2iIqKwrx58zB06FAAQHR0NI4cOVKteo4dO4azZ8/i8uXLaNWqFQCgefPmis+trKwgkUhgb29f6TwSEhLw+++/Iz09HY6OjgCAbdu2oW3btvj111/RpUsXAE8CPSYmBhYWFgCAMWPGICEhAcuXL69WzZVZvnw5fHx8AAAfffQR/P398fjxYxgbGyv1Mzc3h4mJCUpKSpTWKyMjAy1btkSPHj0gkUjg5OSklbqItIVb1ES16MCBAzA3N4exsTEGDBiAwMBApd3P7du3VzouffnyZXTs2FER0gDQvXt3yOVypKam4sGDB8jOzoaXl5fic319fXh6elarrpSUFDRp0kQR0pq4fPkyHB0dFSENAG5ubqhXrx4uX76saHN2dlaENAA0atQIeXl5Gi/3WR06dFCaN4BqzX/cuHFISUmBq6srQkNDcfToUa3VRqQNDGqiWtSnTx+kpKTg2rVrKC4uxjfffKMUwk//X5v09PRUjluXlZUp/m9iYlIry1XHwMBA6b1EIoFcLq+0v6WlJYqKilT63L9/H8CTrf3K5i+RSADgufN/VufOnZGeno6lS5eiuLgYw4YNwzvvvFPl6YlqG4OaqBaZmZmhRYsWaNq0KfT1X3ykqU2bNvjtt99QVFSkaDt16hT09PTg6uoKKysrNGrUCP/9738Vn5eXl+P8+fNK87GxsUF2drbifUFBAdLT0xXvO3TogNu3b+Pq1atq6zA0NIRMJnthrZmZmcjMzFS0/fnnn7h//z7c3NxeuK6VcXV1RXl5OVJSUpTak5OTAaBGewEqWy9LS0sEBgbi66+/RmxsLH788Ufcu3dP4+UQaRODmkhERo0aBWNjYwQFBeHSpUtITEzEtGnTMGbMGNjZ2QEApk+fjhUrVmDv3r24cuUKpkyZotjarPDGG2/g22+/xc8//4zff/8dQUFBkEqlis99fHzQq1cvvP3224iPj0d6ejoOHz6MuLg4AE92Vz98+BAJCQm4e/cuHj16pFKrr68v2rdvj1GjRiE5ORlnz57F2LFj4ePjU+1d8U9r27Yt+vXrh/feew8JCQlIT09HXFwcpkyZgsDAQDRu3FjjeTs7O+PixYtITU3F3bt3UVZWhsjISHz33Xe4cuUKrl69il27dsHe3r7Sa7mJ6hqDmkhETE1NceTIEdy7dw9dunTBO++8g759+2LdunWKPrNmzcKYMWMQFBQEb29vWFhYYMiQIUrzmTdvHnx8fPDPf/4T/v7+CAgIgIuLi1KfH3/8EV26dMGIESPg5uaGDz/8ULG12a1bN0yePBmBgYGwsbHBqlWrVGqVSCTYt28frK2t0atXL/j6+qJ58+aIjY2t8TjExsbCx8cH77//Ptq2bYvQ0FAMHjwYmzZtqtF8J06cCFdXV3h6esLGxganTp2ChYUFVq1aBU9PT3Tp0gU3b97EoUOHoKfHX48kDhLh2QNZREREJBr8k5GIiEjEGNREREQixqAmIiISMQY1ERGRiDGoiYiIRIxBTUREJGIMaiIiIhFjUBMREYkYg5qIiEjEGNREREQixqAmIiISMQY1ERGRiP0fQujiON6sCJwAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for tier, tables in ensemble_tables.items():\n",
    "    prod = tables.shift.groupby(\"sample_id\")[\"production_units\"].sum()\n",
    "    display(\n",
    "        utils.plot_distribution(\n",
    "            prod, title=f\"{tier.title()} Production Distribution\", xlabel=\"Production Units\"\n",
    "        )\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01ac8336",
   "metadata": {},
   "source": [
    "## Downtime Summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "01ef7a7f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-11-14T10:34:59.602383Z",
     "iopub.status.busy": "2025-11-14T10:34:59.602219Z",
     "iopub.status.idle": "2025-11-14T10:34:59.617691Z",
     "shell.execute_reply": "2025-11-14T10:34:59.616626Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>small</th>\n",
       "      <th>medium</th>\n",
       "      <th>large</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       small  medium  large\n",
       "count    4.0     4.0    4.0\n",
       "mean     0.0     0.0    0.0\n",
       "std      0.0     0.0    0.0\n",
       "min      0.0     0.0    0.0\n",
       "25%      0.0     0.0    0.0\n",
       "50%      0.0     0.0    0.0\n",
       "75%      0.0     0.0    0.0\n",
       "max      0.0     0.0    0.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "downtime_summary = pd.DataFrame(\n",
    "    {\n",
    "        tier: tables.shift.groupby(\"sample_id\")[\"downtime_hours\"].sum()\n",
    "        for tier, tables in ensemble_tables.items()\n",
    "    }\n",
    ")\n",
    "downtime_summary.describe()"
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  }
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