simulating-ddc-queues.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "01a45e8a-2206-461b-80c5-7970c3b5f7fb",
   "metadata": {},
   "source": [
    "# Simulating simple D/D/c queues"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "ed687dbe-6924-452b-b7a3-1a11ed7e8ccb",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "SAMPLE_SIZE = 100\n",
    "ARRIVAL_RATE = 1\n",
    "EXECUTION_RATE = 2\n",
    "EXECUTORS = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d093294-c285-40f2-8288-26ffd7dd91e6",
   "metadata": {},
   "source": [
    "## An example arrival time distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "638c0fcf-84bc-4b97-8348-6956d0587c75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MNptNK1ascOi3LEsTJkxQaGiofH19FRUVpYMHDzqMOXPmjPr06SN/f39VrFhR/fv31/nz50vwKAAAgDtzadjJyspS48aNFR8fX2D/1KlTNWPGDM2dO1fbtm1T+fLlFR0drUuXLtnH9OnTR//+97+1du1aff7559q4caMGDRpUUocAAADcnM2yLMvVRUi/fYnXJ598oq5du0r6bVYnLCxML7zwgl588UVJUkZGhoKDg7VgwQL17NlT+/fvV4MGDbRjxw41bdpUkrR69Wp17NhRP/30k8LCwm5q35mZmQoICFBGRgZfBAoAQClxs7+/3faenZSUFKWmpioqKsreFhAQoObNm2vr1q2SpK1bt6pixYr2oCNJUVFR8vDw0LZt20q8ZgAA4H48XV3AtaSmpkqSgoODHdqDg4PtfampqQoKCnLo9/T0VGBgoH1MQbKzs5WdnW1fzszMdFbZAADAzbht2ClOkydPVlxcnKvLAFBC3l77o6tLKLRR7eu5ugTAGG57GSskJESSlJaW5tCelpZm7wsJCdGpU6cc+q9cuaIzZ87YxxRk7NixysjIsL+OHz/u5OoBAIC7cNuwEx4erpCQECUlJdnbMjMztW3bNkVGRkqSIiMjlZ6eruTkZPuYdevWKS8vT82bN7/mtr29veXv7+/wAgAAZnLpZazz58/r0KFD9uWUlBTt2bNHgYGBqlGjhkaOHKnXXntNdevWVXh4uMaPH6+wsDD7J7bq16+vDh06aODAgZo7d64uX76s2NhY9ezZ86Y/iQUAAMzm0rCzc+dOtWnTxr48evRoSVLfvn21YMECvfTSS8rKytKgQYOUnp6uli1bavXq1fLx8bGvk5iYqNjYWLVr104eHh7q3r27ZsyYUeLHAgAA3JPbPGfHlXjODmA2blAGzFTqn7MDAADgDIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABjNrcNObm6uxo8fr/DwcPn6+qpOnTp69dVXZVmWfYxlWZowYYJCQ0Pl6+urqKgoHTx40IVVAwAAd+LWYWfKlCmaM2eOZs2apf3792vKlCmaOnWqZs6caR8zdepUzZgxQ3PnztW2bdtUvnx5RUdH69KlSy6sHAAAuAtPVxdwPVu2bFGXLl3UqVMnSVKtWrW0ePFibd++XdJvszrTp0/XuHHj1KVLF0nShx9+qODgYK1YsUI9e/Z0We0AAMA9uPXMTosWLZSUlKQff/xRkvTtt9/qX//6lx555BFJUkpKilJTUxUVFWVfJyAgQM2bN9fWrVuvud3s7GxlZmY6vAAAgJncemZnzJgxyszM1J133qkyZcooNzdXr7/+uvr06SNJSk1NlSQFBwc7rBccHGzvK8jkyZMVFxdXfIUDAAC34dYzOx999JESExO1aNEi7dq1SwsXLtSbb76phQsX3tJ2x44dq4yMDPvr+PHjTqoYAAC4G7ee2fnrX/+qMWPG2O+9adSokY4eParJkyerb9++CgkJkSSlpaUpNDTUvl5aWpqaNGlyze16e3vL29u7WGsHAADuwa1ndi5cuCAPD8cSy5Qpo7y8PElSeHi4QkJClJSUZO/PzMzUtm3bFBkZWaK1AgAA9+TWMzudO3fW66+/rho1auiuu+7S7t27NW3aND377LOSJJvNppEjR+q1115T3bp1FR4ervHjxyssLExdu3Z1bfEAAMAtuHXYmTlzpsaPH68hQ4bo1KlTCgsL0+DBgzVhwgT7mJdeeklZWVkaNGiQ0tPT1bJlS61evVo+Pj4urBwAALgLm/X7xxH/SWVmZiogIEAZGRny9/d3dTkAnOzttT+6uoRCG9W+nqtLANzezf7+dut7dgAAAG4VYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjOb2Yefnn3/Wk08+qcqVK8vX11eNGjXSzp077f2WZWnChAkKDQ2Vr6+voqKidPDgQRdWDAAA3Ilbh52zZ8/qgQcekJeXl7744gvt27dPb731lipVqmQfM3XqVM2YMUNz587Vtm3bVL58eUVHR+vSpUsurBwAALgLT1cXcD1TpkxR9erVlZCQYG8LDw+3/9myLE2fPl3jxo1Tly5dJEkffvihgoODtWLFCvXs2bPEawYAAO7FrWd2Vq5cqaZNm+qJJ55QUFCQ7rnnHr377rv2/pSUFKWmpioqKsreFhAQoObNm2vr1q2uKBkAALgZtw47hw8f1pw5c1S3bl2tWbNGzz//vIYPH66FCxdKklJTUyVJwcHBDusFBwfb+wqSnZ2tzMxMhxcAADCTW1/GysvLU9OmTfXGG29Iku655x7t3btXc+fOVd++fYu83cmTJysuLs5ZZQIAADfm1jM7oaGhatCggUNb/fr1dezYMUlSSEiIJCktLc1hTFpamr2vIGPHjlVGRob9dfz4cSdXDgAA3IVbh50HHnhABw4ccGj78ccfVbNmTUm/3awcEhKipKQke39mZqa2bdumyMjIa27X29tb/v7+Di8AAGAmt76MNWrUKLVo0UJvvPGGevTooe3bt2v+/PmaP3++JMlms2nkyJF67bXXVLduXYWHh2v8+PEKCwtT165dXVs8AABwC24ddpo1a6ZPPvlEY8eO1SuvvKLw8HBNnz5dffr0sY956aWXlJWVpUGDBik9PV0tW7bU6tWr5ePj48LKAQCAu7BZlmW5ughXy8zMVEBAgDIyMrikBRjo7bU/urqEQhvVvp6rSwDc3s3+/nbre3YAAABuFWEHAAAYrUhhp3bt2vr111/ztaenp6t27dq3XBQAAICzFCnsHDlyRLm5ufnas7Oz9fPPP99yUQAAAM5SqE9jrVy50v7nNWvWKCAgwL6cm5urpKQk1apVy2nFAQAA3KpChZ2rz66x2Wz5vq7By8tLtWrV0ltvveW04gAAAG5VocJOXl6epN+eXLxjxw7ddtttxVIUAACAsxTpoYIpKSnOrgMAAKBYFPkJyklJSUpKStKpU6fsMz5XffDBB7dcGAAAgDMUKezExcXplVdeUdOmTRUaGiqbzebsugAAAJyiSGFn7ty5WrBggZ566iln1wMAAOBURXrOTk5Ojlq0aOHsWgAAAJyuSGFnwIABWrRokbNrAQAAcLoiXca6dOmS5s+fr6+++kp33323vLy8HPqnTZvmlOIAAABuVZHCznfffacmTZpIkvbu3evQx83KAADAnRQp7Hz99dfOrgMAAKBYFOmeHQAAgNKiSDM7bdq0ue7lqnXr1hW5IAAAAGcqUti5er/OVZcvX9aePXu0d+/efF8QCgAA4EpFCjtvv/12ge2TJk3S+fPnb6kgAAAAZ3LqPTtPPvkk34sFAADcilPDztatW+Xj4+PMTQIAANySIl3G6tatm8OyZVk6efKkdu7cqfHjxzulMAAAAGcoUtgJCAhwWPbw8NAdd9yhV155RQ8//LBTCgMAAHCGIoWdhIQEZ9cBAABQLIoUdq5KTk7W/v37JUl33XWX7rnnHqcUBQAA4CxFCjunTp1Sz549tX79elWsWFGSlJ6erjZt2mjJkiWqUqWKM2sEAAAosiJ9GmvYsGE6d+6c/v3vf+vMmTM6c+aM9u7dq8zMTA0fPtzZNQIAABRZkWZ2Vq9era+++kr169e3tzVo0EDx8fHcoAwAANxKkWZ28vLy5OXlla/dy8tLeXl5t1wUAACAsxQp7LRt21YjRozQiRMn7G0///yzRo0apXbt2jmtOAAAgFtVpLAza9YsZWZmqlatWqpTp47q1Kmj8PBwZWZmaubMmc6uEQAAoMiKdM9O9erVtWvXLn311Vf64YcfJEn169dXVFSUU4sDAAC4VYWa2Vm3bp0aNGigzMxM2Ww2tW/fXsOGDdOwYcPUrFkz3XXXXdq0aVNx1QoAAFBohQo706dP18CBA+Xv75+vLyAgQIMHD9a0adOcVhwAAMCtKlTY+fbbb9WhQ4dr9j/88MNKTk6+5aIAAACcpVBhJy0trcCPnF/l6empX3755ZaLAgAAcJZChZ2qVatq79691+z/7rvvFBoaestFAQAAOEuhwk7Hjh01fvx4Xbp0KV/fxYsXNXHiRD366KNOKw4AAOBWFeqj5+PGjdPy5ctVr149xcbG6o477pAk/fDDD4qPj1dubq5efvnlYikUAACgKAoVdoKDg7VlyxY9//zzGjt2rCzLkiTZbDZFR0crPj5ewcHBxVIoAABAURT6oYI1a9bUqlWrdPbsWR06dEiWZalu3bqqVKlScdQHAABwS4r0BGVJqlSpkpo1a+bMWgAAAJyuSN+NBQAAUFoQdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjlaqw81//9V+y2WwaOXKkve3SpUsaOnSoKleuLD8/P3Xv3l1paWmuKxIAALiVUhN2duzYoXnz5unuu+92aB81apQ+++wzLVu2TBs2bNCJEyfUrVs3F1UJAADcTakIO+fPn1efPn307rvvqlKlSvb2jIwMvf/++5o2bZratm2riIgIJSQkaMuWLfrmm29cWDEAAHAXpSLsDB06VJ06dVJUVJRDe3Jysi5fvuzQfuedd6pGjRraunXrNbeXnZ2tzMxMhxcAADCTp6sLuJElS5Zo165d2rFjR76+1NRUlS1bVhUrVnRoDw4OVmpq6jW3OXnyZMXFxTm7VAAA4Ibcembn+PHjGjFihBITE+Xj4+O07Y4dO1YZGRn21/Hjx522bQAA4F7cOuwkJyfr1KlTuvfee+Xp6SlPT09t2LBBM2bMkKenp4KDg5WTk6P09HSH9dLS0hQSEnLN7Xp7e8vf39/hBQAAzOTWl7HatWun77//3qHtmWee0Z133qm//e1vql69ury8vJSUlKTu3btLkg4cOKBjx44pMjLSFSUDAAA349Zhp0KFCmrYsKFDW/ny5VW5cmV7e//+/TV69GgFBgbK399fw4YNU2RkpO6//35XlAwAANyMW4edm/H222/Lw8ND3bt3V3Z2tqKjozV79mxXlwUAANyEzbIsy9VFuFpmZqYCAgKUkZHB/TuAgd5e+6OrSyi0Ue3ruboEwO3d7O9vt75BGQAA4FYRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaG4ddiZPnqxmzZqpQoUKCgoKUteuXXXgwAGHMZcuXdLQoUNVuXJl+fn5qXv37kpLS3NRxQAAwN24ddjZsGGDhg4dqm+++UZr167V5cuX9fDDDysrK8s+ZtSoUfrss8+0bNkybdiwQSdOnFC3bt1cWDUAAHAnnq4u4HpWr17tsLxgwQIFBQUpOTlZDz30kDIyMvT+++9r0aJFatu2rSQpISFB9evX1zfffKP777/fFWUDAAA34tYzO3+UkZEhSQoMDJQkJScn6/Lly4qKirKPufPOO1WjRg1t3br1mtvJzs5WZmamwwsAAJip1ISdvLw8jRw5Ug888IAaNmwoSUpNTVXZsmVVsWJFh7HBwcFKTU295rYmT56sgIAA+6t69erFWToAAHChUhN2hg4dqr1792rJkiW3vK2xY8cqIyPD/jp+/LgTKgQAAO7Ire/ZuSo2Nlaff/65Nm7cqGrVqtnbQ0JClJOTo/T0dIfZnbS0NIWEhFxze97e3vL29i7OkgEAgJtw65kdy7IUGxurTz75ROvWrVN4eLhDf0REhLy8vJSUlGRvO3DggI4dO6bIyMiSLhcAALght57ZGTp0qBYtWqRPP/1UFSpUsN+HExAQIF9fXwUEBKh///4aPXq0AgMD5e/vr2HDhikyMpJPYgEAAEluHnbmzJkjSWrdurVDe0JCgvr16ydJevvtt+Xh4aHu3bsrOztb0dHRmj17dglXCgAA3JVbhx3Lsm44xsfHR/Hx8YqPjy+BigAAQGnj1vfsAAAA3CrCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGiEHQAAYDTCDgAAMBphBwAAGI2wAwAAjEbYAQAARiPsAAAAoxF2AACA0Qg7AADAaIQdAABgNMIOAAAwGmEHAAAYzZiwEx8fr1q1asnHx0fNmzfX9u3bXV0SAABwA0aEnaVLl2r06NGaOHGidu3apcaNGys6OlqnTp1ydWkAAMDFjAg706ZN08CBA/XMM8+oQYMGmjt3rsqVK6cPPvjA1aUBAAAXK/VhJycnR8nJyYqKirK3eXh4KCoqSlu3bnVhZQAAwB14urqAW3X69Gnl5uYqODjYoT04OFg//PBDgetkZ2crOzvbvpyRkSFJyszMLL5CAbjMpazzri6h0Pj3CLixq39PLMu67rhSH3aKYvLkyYqLi8vXXr16dRdUAwD5/d3VBQClyLlz5xQQEHDN/lIfdm677TaVKVNGaWlpDu1paWkKCQkpcJ2xY8dq9OjR9uW8vDydOXNGlStXls1mK9Z63V1mZqaqV6+u48ePy9/f39XlGIvzXHI41yWD81wyOM+OLMvSuXPnFBYWdt1xpT7slC1bVhEREUpKSlLXrl0l/RZekpKSFBsbW+A63t7e8vb2dmirWLFiMVdauvj7+/MXqQRwnksO57pkcJ5LBuf5/1xvRueqUh92JGn06NHq27evmjZtqvvuu0/Tp09XVlaWnnnmGVeXBgAAXMyIsBMTE6NffvlFEyZMUGpqqpo0aaLVq1fnu2kZAAD8+RgRdiQpNjb2mpetcPO8vb01ceLEfJf54Fyc55LDuS4ZnOeSwXkuGpt1o89rAQAAlGKl/qGCAAAA10PYAQAARiPsAAAAoxF2AACA0Qg7f0Lx8fGqVauWfHx81Lx5c23fvv2649PT0zV06FCFhobK29tb9erV06pVq0qo2tKrsOd5+vTpuuOOO+Tr66vq1atr1KhRunTpUglVWzpt3LhRnTt3VlhYmGw2m1asWHHDddavX697771X3t7euv3227VgwYJir7O0K+x5Xr58udq3b68qVarI399fkZGRWrNmTckUW8oV5Wf6qs2bN8vT01NNmjQptvpKK8LOn8zSpUs1evRoTZw4Ubt27VLjxo0VHR2tU6dOFTg+JydH7du315EjR/Txxx/rwIEDevfdd1W1atUSrrx0Kex5XrRokcaMGaOJEydq//79ev/997V06VL9/e98Q9L1ZGVlqXHjxoqPj7+p8SkpKerUqZPatGmjPXv2aOTIkRowYAC/iG+gsOd548aNat++vVatWqXk5GS1adNGnTt31u7du4u50tKvsOf6qvT0dD399NNq165dMVVWyln4U7nvvvusoUOH2pdzc3OtsLAwa/LkyQWOnzNnjlW7dm0rJyenpEo0QmHP89ChQ622bds6tI0ePdp64IEHirVOk0iyPvnkk+uOeemll6y77rrLoS0mJsaKjo4uxsrMcjPnuSANGjSw4uLinF+QwQpzrmNiYqxx48ZZEydOtBo3blysdZVGzOz8ieTk5Cg5OVlRUVH2Ng8PD0VFRWnr1q0FrrNy5UpFRkZq6NChCg4OVsOGDfXGG28oNze3pMoudYpynlu0aKHk5GT7pa7Dhw9r1apV6tixY4nU/GexdetWh/dFkqKjo6/5vsA58vLydO7cOQUGBrq6FCMlJCTo8OHDmjhxoqtLcVvGPEEZN3b69Gnl5ubm+xqN4OBg/fDDDwWuc/jwYa1bt059+vTRqlWrdOjQIQ0ZMkSXL1/mL9Y1FOU89+7dW6dPn1bLli1lWZauXLmi5557jstYTpaamlrg+5KZmamLFy/K19fXRZWZ7c0339T58+fVo0cPV5dinIMHD2rMmDHatGmTPD35lX4tzOzguvLy8hQUFKT58+crIiJCMTExevnllzV37lxXl2aU9evX64033tDs2bO1a9cuLV++XP/85z/16quvuro04JYsWrRIcXFx+uijjxQUFOTqcoySm5ur3r17Ky4uTvXq1XN1OW6NGPgnctttt6lMmTJKS0tzaE9LS1NISEiB64SGhsrLy0tlypSxt9WvX1+pqanKyclR2bJli7Xm0qgo53n8+PF66qmnNGDAAElSo0aNlJWVpUGDBunll1+Whwf/X+IMISEhBb4v/v7+zOoUgyVLlmjAgAFatmxZvsuHuHXnzp3Tzp07tXv3bvt3Q+bl5cmyLHl6eurLL79U27ZtXVyle+Bf0D+RsmXLKiIiQklJSfa2vLw8JSUlKTIyssB1HnjgAR06dEh5eXn2th9//FGhoaEEnWsoynm+cOFCvkBzNWBafH2d00RGRjq8L5K0du3aa74vKLrFixfrmWee0eLFi9WpUydXl2Mkf39/ff/999qzZ4/99dxzz+mOO+7Qnj171Lx5c1eX6D5cfIM0StiSJUssb29va8GCBda+ffusQYMGWRUrVrRSU1Mty7Ksp556yhozZox9/LFjx6wKFSpYsbGx1oEDB6zPP//cCgoKsl577TVXHUKpUNjzPHHiRKtChQrW4sWLrcOHD1tffvmlVadOHatHjx6uOoRS4dy5c9bu3but3bt3W5KsadOmWbt377aOHj1qWZZljRkzxnrqqafs4w8fPmyVK1fO+utf/2rt37/fio+Pt8qUKWOtXr3aVYdQKhT2PCcmJlqenp5WfHy8dfLkSfsrPT3dVYdQahT2XP8Rn8YqGGHnT2jmzJlWjRo1rLJly1r33Xef9c0339j7WrVqZfXt29dh/JYtW6zmzZtb3t7eVu3ata3XX3/dunLlSglXXfoU5jxfvnzZmjRpklWnTh3Lx8fHql69ujVkyBDr7NmzJV94KfL1119bkvK9rp7bvn37Wq1atcq3TpMmTayyZctatWvXthISEkq87tKmsOe5VatW1x2PayvKz/TvEXYKZrMs5sgBAIC5uGcHAAAYjbADAACMRtgBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AY7Vu3VojR450dRkAXIywA8Atde7cWR06dCiwb9OmTbLZbPruu+9KuCoApRFhB4Bb6t+/v9auXauffvopX19CQoKaNm2qu+++2wWVAShtCDsA3NKjjz6qKlWqaMGCBQ7t58+f17Jly9S1a1f16tVLVatWVbly5dSoUSMtXrz4utu02WxasWKFQ1vFihUd9nH8+HH16NFDFStWVGBgoLp06aIjR44456AAuARhB4Bb8vT01NNPP60FCxbo91/ht2zZMuXm5urJJ59URESE/vnPf2rv3r0aNGiQnnrqKW3fvr3I+7x8+bKio6NVoUIFbdq0SZs3b5afn586dOignJwcZxwWABcg7ABwW88++6z+85//aMOGDfa2hIQEde/eXTVr1tSLL76oJk2aqHbt2ho2bJg6dOigjz76qMj7W7p0qfLy8vTee++pUaNGql+/vhISEnTs2DGtX7/eCUcEwBUIOwDc1p133qkWLVrogw8+kCQdOnRImzZtUv/+/ZWbm6tXX31VjRo1UmBgoPz8/LRmzRodO3asyPv79ttvdejQIVWoUEF+fn7y8/NTYGCgLl26pP/85z/OOiwAJczT1QUAwPX0799fw4YNU3x8vBISElSnTh21atVKU6ZM0TvvvKPp06erUaNGKl++vEaOHHndy002m83hkpj026Wrq86fP6+IiAglJibmW7dKlSrOOygAJYqwA8Ct9ejRQyNGjNCiRYv04Ycf6vnnn5fNZtPmzZvVpUsXPfnkk5KkvLw8/fjjj2rQoME1t1WlShWdPHnSvnzw4EFduHDBvnzvvfdq6dKlCgoKkr+/f/EdFIASxWUsAG7Nz89PMTExGjt2rE6ePKl+/fpJkurWrau1a9dqy5Yt2r9/vwYPHqy0tLTrbqtt27aaNWuWdu/erZ07d+q5556Tl5eXvb9Pnz667bbb1KVLF23atEkpKSlav369hg8fXuBH4AGUDoQdAG6vf//+Onv2rKKjoxUWFiZJGjdunO69915FR0erdevWCgkJUdeuXa+7nbfeekvVq1fXgw8+qN69e+vFF19UuXLl7P3lypXTxo0bVaNGDXXr1k3169dX//79denSJWZ6gFLMZv3xAjYAAIBBmNkBAABGI+wAAACjEXYAAIDRCDsAAMBohB0AAGA0wg4AADAaYQcAABiNsAMAAIxG2AEAAEYj7AAAAKMRdgAAgNEIOwAAwGj/D2I+aMHJWh5iAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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gYKAaNmyonj17ateuXVUzAAAAUCN5NAAVFxcrKipKM2fOLFf//fv3KyEhQV26dFF2drZSUlL0xBNP6LPPPnP1WbNmjZKTk/XVV18pIyND586dU7du3VRcXFxVwwAAADWMzbIsy9NFSJLNZtOSJUvUs2fPC/Z5+umn9fHHH2v79u2utocfflgnT57UihUrytzm6NGjatiwodasWaPbb7+9XLU4HA4FBweroKBAQUFBFRoHAADwjIp8f9eoe4CysrIUFxfn1hYfH6+srKwLblNQUCBJqlu3bpXWBgAAag4fTxdQEbm5uQoJCXFrCwkJkcPh0OnTp+Xv7++2zul0KiUlRZ07d1arVq0uuN+SkhKVlJS4PjscjsotHAAAXFFq1BmgikpOTtb27du1YMGCi/ZLS0tTcHCwawkPD6+mCgEAgCfUqAAUGhqqvLw8t7a8vDwFBQWdd/Zn2LBhWr58uVatWqUmTZpcdL+pqakqKChwLYcOHar02gEAwJWjRl0Ci42N1SeffOLWlpGRodjYWNdny7I0fPhwLVmyRKtXr1ZERMRv7tdut8tut1d6vQAA4Mrk0TNARUVFys7OVnZ2tqSfH3PPzs7WwYMHJf18ZmbgwIGu/oMHD9a+ffs0evRo7dy5U7NmzdKiRYs0cuRIV5/k5GS98847evfddxUYGKjc3Fzl5ubq9OnT1To2AABw5fLoY/CrV69Wly5dzmtPTEzU/Pnz9fjjj+vAgQNavXq12zYjR47Ujh071KRJEz377LN6/PHHXettNluZx5o3b55bv4vhMXgAAGqeinx/XzHvAbqSEIAAAKh5rtr3AAEAAFQGAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMc0kB6KefftLnn3+uuXPnqrCwUJJ0+PBhFRUVVWpxAAAAVcGnohv88MMPuueee3Tw4EGVlJTo7rvvVmBgoCZNmqSSkhLNmTOnKuoEAACoNBU+AzRixAi1b99eJ06ckL+/v6u9V69eyszMrNTiAAAAqkKFzwCtW7dOX375pXx9fd3amzVrppycnEorDAAAoKpU+AyQ0+lUaWnpee3//Oc/FRgYWClFAQAAVKUKB6Bu3bpp6tSprs82m01FRUUaP3687r333sqsDQAAoErYLMuyKrLBP//5T8XHx8uyLO3Zs0ft27fXnj17VL9+fa1du1YNGzasqlqrjcPhUHBwsAoKChQUFOTpcgAAQDlU5Pu7wgFI+vkx+AULFuibb75RUVGR2rZtqwEDBrjdFF2TEYAAAKh5KvL9XeGboCXJx8dHjz766CUVBwAA4GkVDkB/+9vfLrp+4MCBl1wMAABAdajwJbA6deq4fT537pxOnTolX19fXXPNNfrxxx8rtUBP4BIYAAA1T0W+vyv8FNiJEyfclqKiIu3atUu33nqr3nvvvUsuGgAAoLpUyo+hRkZG6qWXXtKIESMqY3cAAABVqtJ+Dd7Hx0eHDx+u0DZr165Vjx49FBYWJpvNpqVLl/7mNqtXr1bbtm1lt9vVokULzZ8//7w+M2fOVLNmzeTn56eYmBht3LixQnUBAICrW4Vvgl62bJnbZ8uydOTIEc2YMUOdO3eu0L6Ki4sVFRWlQYMG6cEHH/zN/vv371dCQoIGDx6s9PR0ZWZm6oknnlCjRo0UHx8vSVq4cKFGjRqlOXPmKCYmRlOnTlV8fLx27dp1VbyjCAAAXL4K3wTt5eV+0shms6lBgwa66667NHnyZDVq1OjSCrHZtGTJEvXs2fOCfZ5++ml9/PHH2r59u6vt4Ycf1smTJ7VixQpJUkxMjDp06KAZM2ZI+vmnO8LDwzV8+HCNGTOmXLVU1U3QlmXpXGmFX7sEAMBVqZa3TTabrdL2V6XvAXI6nZdc2OXKyspSXFycW1t8fLxSUlIkSWfPntWWLVuUmprqWu/l5aW4uDhlZWVdcL8lJSUqKSlxfXY4HJVb+P87V2pp5qq9VbJvAABqmuQuLeTrU3kBqCIq7R6g6pCbm6uQkBC3tpCQEDkcDp0+fVrHjh1TaWlpmX1yc3MvuN+0tDQFBwe7lvDw8CqpHwAAXBnKdQZo1KhR5d7hlClTLrkYT0lNTXUbo8PhqJIQVMvbpuQuLSp9vwAA1ES1vD1z9kcqZwDatm1buXZWmdfxyhIaGqq8vDy3try8PAUFBcnf31/e3t7y9vYus09oaOgF92u322W326uk5l+z2WweO9UHAAD+pVwBaNWqVVVdR7nExsbqk08+cWvLyMhQbGysJMnX11ft2rVTZmam62Zqp9OpzMxMDRs2rLrLBQAAVyiP3gNUVFSk7OxsZWdnS/r5Mffs7GwdPHhQ0s+Xpn7922KDBw/Wvn37NHr0aO3cuVOzZs3SokWLNHLkSFefUaNG6Y033tDbb7+t7777TkOGDFFxcbGSkpKqdWwAAODKdUm/Br9582YtWrRIBw8e1NmzZ93WLV68uEL76dKli+vzL/fhJCYmav78+Tpy5IgrDElSRESEPv74Y40cOVLTpk1TkyZN9Oabb7reASRJ/fr109GjRzVu3Djl5uaqTZs2WrFixXk3RgMAAHNV+D1ACxYs0MCBAxUfH69//OMf6tatm3bv3q28vDz16tVL8+bNq6paqw0/hgoAQM1TpT+GOnHiRP3lL3/RRx99JF9fX02bNk07d+5U37591bRp00suGgAAoLpUOAB9//33SkhIkPTzTcfFxcWy2WwaOXKkXn/99UovEAAAoLJVOADVqVNHhYWFkqTGjRu7fpbi5MmTOnXqVOVWBwAAUAXKHYB+CTq33367MjIyJEl9+vTRiBEj9OSTT6p///7q2rVr1VQJAABQicr9FNgtt9yiDh06qGfPnurTp48k6ZlnnlGtWrX05Zdfqnfv3ho7dmyVFQoAAFBZyv0U2Lp16zRv3jx98MEHcjqd6t27t5544gnddtttVV1jteMpMAAAap4qeQrstttu01tvvaUjR45o+vTpOnDggO644w7dcMMNmjRp0kV/bBQAAOBKUuGboK+99lolJSVpzZo12r17t/r06aOZM2eqadOmuv/++6uiRgAAgEpV4Rch/rvi4mKlp6crNTVVJ0+eVGlpaWXV5jFcAgMAoOapyPf3Jf0UhiStXbtWb731lj788EN5eXmpb9+++v3vf3+puwMAAKg2FQpAhw8f1vz58zV//nzt3btXnTp10muvvaa+ffvq2muvraoaAQAAKlW5A1D37t31+eefq379+ho4cKAGDRqk//iP/6jK2gAAAKpEuQNQrVq19MEHH+i+++6Tt7d3VdYEAABQpcodgJYtW1aVdQAAAFSbCj8GDwAAUNMRgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxPB6AZs6cqWbNmsnPz08xMTHauHHjBfueO3dOzz//vJo3by4/Pz9FRUVpxYoVbn1KS0v17LPPKiIiQv7+/mrevLleeOEFWZZV1UMBAAA1hEcD0MKFCzVq1CiNHz9eW7duVVRUlOLj45Wfn19m/7Fjx2ru3LmaPn26duzYocGDB6tXr17atm2bq8+kSZM0e/ZszZgxQ999950mTZqkl19+WdOnT6+uYQEAgCuczfLgqZGYmBh16NBBM2bMkCQ5nU6Fh4dr+PDhGjNmzHn9w8LC9Mwzzyg5OdnV1rt3b/n7++udd96RJN13330KCQnRX//61wv2+S0Oh0PBwcEqKChQUFDQ5QwRAABUk4p8f3vsDNDZs2e1ZcsWxcXF/asYLy/FxcUpKyurzG1KSkrk5+fn1ubv76/169e7Pnfq1EmZmZnavXu3JOnrr7/W+vXr1b179wvWUlJSIofD4bYAAICrl4+nDnzs2DGVlpYqJCTErT0kJEQ7d+4sc5v4+HhNmTJFt99+u5o3b67MzEwtXrxYpaWlrj5jxoyRw+FQy5Yt5e3trdLSUr344osaMGDABWtJS0vTc889VzkDAwAAVzyP3wRdEdOmTVNkZKRatmwpX19fDRs2TElJSfLy+tcwFi1apPT0dL377rvaunWr3n77bb366qt6++23L7jf1NRUFRQUuJZDhw5Vx3AAAICHeOwMUP369eXt7a28vDy39ry8PIWGhpa5TYMGDbR06VKdOXNGx48fV1hYmMaMGaPrr7/e1efPf/6zxowZo4cffliS1Lp1a/3www9KS0tTYmJimfu12+2y2+2VNDIAAHCl89gZIF9fX7Vr106ZmZmuNqfTqczMTMXGxl50Wz8/PzVu3Fg//fSTPvzwQz3wwAOudadOnXI7IyRJ3t7ecjqdlTsAAABQY3nsDJAkjRo1SomJiWrfvr06duyoqVOnqri4WElJSZKkgQMHqnHjxkpLS5MkbdiwQTk5OWrTpo1ycnI0YcIEOZ1OjR492rXPHj166MUXX1TTpk118803a9u2bZoyZYoGDRrkkTECAIArj0cDUL9+/XT06FGNGzdOubm5atOmjVasWOG6MfrgwYNuZ3POnDmjsWPHat++fQoICNC9996rv//976pdu7arz/Tp0/Xss89q6NChys/PV1hYmP7whz9o3Lhx1T08AABwhfLoe4CuVLwHCACAmqdGvAcIAADAUwhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjeDwAzZw5U82aNZOfn59iYmK0cePGC/Y9d+6cnn/+eTVv3lx+fn6KiorSihUrzuuXk5OjRx99VPXq1ZO/v79at26tzZs3V+UwAABADeLRALRw4UKNGjVK48eP19atWxUVFaX4+Hjl5+eX2X/s2LGaO3eupk+frh07dmjw4MHq1auXtm3b5upz4sQJde7cWbVq1dKnn36qHTt2aPLkyapTp051DQsAAFzhbJZlWZ46eExMjDp06KAZM2ZIkpxOp8LDwzV8+HCNGTPmvP5hYWF65plnlJyc7Grr3bu3/P399c4770iSxowZoy+++ELr1q275LocDoeCg4NVUFCgoKCgS94PAACoPhX5/vbYGaCzZ89qy5YtiouL+1cxXl6Ki4tTVlZWmduUlJTIz8/Prc3f31/r1693fV62bJnat2+vPn36qGHDhoqOjtYbb7xx0VpKSkrkcDjcFgAAcPXyWAA6duyYSktLFRIS4tYeEhKi3NzcMreJj4/XlClTtGfPHjmdTmVkZGjx4sU6cuSIq8++ffs0e/ZsRUZG6rPPPtOQIUP0xz/+UW+//fYFa0lLS1NwcLBrCQ8Pr5xBAgCAK5LHb4KuiGnTpikyMlItW7aUr6+vhg0bpqSkJHl5/WsYTqdTbdu21cSJExUdHa2nnnpKTz75pObMmXPB/aampqqgoMC1HDp0qDqGAwAAPMRjAah+/fry9vZWXl6eW3teXp5CQ0PL3KZBgwZaunSpiouL9cMPP2jnzp0KCAjQ9ddf7+rTqFEj3XTTTW7b3XjjjTp48OAFa7Hb7QoKCnJbAADA1ctjAcjX11ft2rVTZmamq83pdCozM1OxsbEX3dbPz0+NGzfWTz/9pA8//FAPPPCAa13nzp21a9cut/67d+/WddddV7kDAAAANZaPJw8+atQoJSYmqn379urYsaOmTp2q4uJiJSUlSZIGDhyoxo0bKy0tTZK0YcMG5eTkqE2bNsrJydGECRPkdDo1evRo1z5HjhypTp06aeLEierbt682btyo119/Xa+//rpHxggAAK48Hg1A/fr109GjRzVu3Djl5uaqTZs2WrFihevG6IMHD7rd33PmzBmNHTtW+/btU0BAgO699179/e9/V+3atV19OnTooCVLlig1NVXPP/+8IiIiNHXqVA0YMKC6hwcAAK5QHn0P0JWK9wABAFDz1Ij3AAEAAHgKAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYBwCEAAAMA4BCAAAGIcABAAAjEMAAgAAxiEAAQAA4xCAAACAcQhAAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACM4+PpAq5ElmVJkhwOh4crAQAA5fXL9/Yv3+MXQwAqQ2FhoSQpPDzcw5UAAICKKiwsVHBw8EX72KzyxCTDOJ1OHT58WIGBgbLZbJW6b4fDofDwcB06dEhBQUGVum+4Y66rD3NdfZjr6sNcV5/KmmvLslRYWKiwsDB5eV38Lh/OAJXBy8tLTZo0qdJjBAUF8R9UNWGuqw9zXX2Y6+rDXFefypjr3zrz8wtuggYAAMYhAAEAAOMQgKqZ3W7X+PHjZbfbPV3KVY+5rj7MdfVhrqsPc119PDHX3AQNAACMwxkgAABgHAIQAAAwDgEIAAAYhwAEAACMQwCqRjNnzlSzZs3k5+enmJgYbdy40dMl1XhpaWnq0KGDAgMD1bBhQ/Xs2VO7du1y63PmzBklJyerXr16CggIUO/evZWXl+ehiq8eL730kmw2m1JSUlxtzHXlycnJ0aOPPqp69erJ399frVu31ubNm13rLcvSuHHj1KhRI/n7+ysuLk579uzxYMU1U2lpqZ599llFRETI399fzZs31wsvvOD2W1LM9aVbu3atevToobCwMNlsNi1dutRtfXnm9scff9SAAQMUFBSk2rVr6/e//72KioouuzYCUDVZuHChRo0apfHjx2vr1q2KiopSfHy88vPzPV1ajbZmzRolJyfrq6++UkZGhs6dO6du3bqpuLjY1WfkyJH66KOP9P7772vNmjU6fPiwHnzwQQ9WXfNt2rRJc+fO1S233OLWzlxXjhMnTqhz586qVauWPv30U+3YsUOTJ09WnTp1XH1efvllvfbaa5ozZ442bNiga6+9VvHx8Tpz5owHK695Jk2apNmzZ2vGjBn67rvvNGnSJL388suaPn26qw9zfemKi4sVFRWlmTNnlrm+PHM7YMAA/e///q8yMjK0fPlyrV27Vk899dTlF2ehWnTs2NFKTk52fS4tLbXCwsKstLQ0D1Z19cnPz7ckWWvWrLEsy7JOnjxp1apVy3r//fddfb777jtLkpWVleWpMmu0wsJCKzIy0srIyLDuuOMOa8SIEZZlMdeV6emnn7ZuvfXWC653Op1WaGio9corr7jaTp48adntduu9996rjhKvGgkJCdagQYPc2h588EFrwIABlmUx15VJkrVkyRLX5/LM7Y4dOyxJ1qZNm1x9Pv30U8tms1k5OTmXVQ9ngKrB2bNntWXLFsXFxbnavLy8FBcXp6ysLA9WdvUpKCiQJNWtW1eStGXLFp07d85t7lu2bKmmTZsy95coOTlZCQkJbnMqMdeVadmyZWrfvr369Omjhg0bKjo6Wm+88YZr/f79+5Wbm+s218HBwYqJiWGuK6hTp07KzMzU7t27JUlff/211q9fr+7du0tirqtSeeY2KytLtWvXVvv27V194uLi5OXlpQ0bNlzW8fkx1Gpw7NgxlZaWKiQkxK09JCREO3fu9FBVVx+n06mUlBR17txZrVq1kiTl5ubK19dXtWvXdusbEhKi3NxcD1RZsy1YsEBbt27Vpk2bzlvHXFeeffv2afbs2Ro1apT+67/+S5s2bdIf//hH+fr6KjEx0TWfZf1NYa4rZsyYMXI4HGrZsqW8vb1VWlqqF198UQMGDJAk5roKlWduc3Nz1bBhQ7f1Pj4+qlu37mXPPwEIV43k5GRt375d69ev93QpV6VDhw5pxIgRysjIkJ+fn6fLuao5nU61b99eEydOlCRFR0dr+/btmjNnjhITEz1c3dVl0aJFSk9P17vvvqubb75Z2dnZSklJUVhYGHN9leMSWDWoX7++vL29z3saJi8vT6GhoR6q6uoybNgwLV++XKtWrVKTJk1c7aGhoTp79qxOnjzp1p+5r7gtW7YoPz9fbdu2lY+Pj3x8fLRmzRq99tpr8vHxUUhICHNdSRo1aqSbbrrJre3GG2/UwYMHJck1n/xNuXx//vOfNWbMGD388MNq3bq1HnvsMY0cOVJpaWmSmOuqVJ65DQ0NPe9hoZ9++kk//vjjZc8/Aaga+Pr6ql27dsrMzHS1OZ1OZWZmKjY21oOV1XyWZWnYsGFasmSJVq5cqYiICLf17dq1U61atdzmfteuXTp48CBzX0Fdu3bVt99+q+zsbNfSvn17DRgwwPVv5rpydO7c+bzXOezevVvXXXedJCkiIkKhoaFuc+1wOLRhwwbmuoJOnTolLy/3r0Jvb285nU5JzHVVKs/cxsbG6uTJk9qyZYurz8qVK+V0OhUTE3N5BVzWLdQotwULFlh2u92aP3++tWPHDuupp56yateubeXm5nq6tBptyJAhVnBwsLV69WrryJEjruXUqVOuPoMHD7aaNm1qrVy50tq8ebMVGxtrxcbGerDqq8evnwKzLOa6smzcuNHy8fGxXnzxRWvPnj1Wenq6dc0111jvvPOOq89LL71k1a5d2/qf//kf65tvvrEeeOABKyIiwjp9+rQHK695EhMTrcaNG1vLly+39u/fby1evNiqX7++NXr0aFcf5vrSFRYWWtu2bbO2bdtmSbKmTJlibdu2zfrhhx8syyrf3N5zzz1WdHS0tWHDBmv9+vVWZGSk1b9//8uujQBUjaZPn241bdrU8vX1tTp27Gh99dVXni6pxpNU5jJv3jxXn9OnT1tDhw616tSpY11zzTVWr169rCNHjniu6KvIvwcg5rryfPTRR1arVq0su91utWzZ0nr99dfd1judTuvZZ5+1QkJCLLvdbnXt2tXatWuXh6qtuRwOhzVixAiradOmlp+fn3X99ddbzzzzjFVSUuLqw1xfulWrVpX5NzoxMdGyrPLN7fHjx63+/ftbAQEBVlBQkJWUlGQVFhZedm02y/rV6y4BAAAMwD1AAADAOAQgAABgHAIQAAAwDgEIAAAYhwAEAACMQwACAADGIQABAADjEIAAXHUef/xx9ezZ09NlALiC8WvwAGoUm8120fXjx4/XtGnTxDteAVwMAQhAjXLkyBHXvxcuXKhx48a5/XBoQECAAgICPFEagBqES2AAapTQ0FDXEhwcLJvN5tYWEBBw3iWwO++8U8OHD1dKSorq1KmjkJAQvfHGGyouLlZSUpICAwPVokULffrpp27H2r59u7p3766AgACFhIToscce07Fjx6p5xACqAgEIgBHefvtt1a9fXxs3btTw4cM1ZMgQ9enTR506ddLWrVvVrVs3PfbYYzp16pQk6eTJk7rrrrsUHR2tzZs3a8WKFcrLy1Pfvn09PBIAlYEABMAIUVFRGjt2rCIjI5Wamio/Pz/Vr19fTz75pCIjIzVu3DgdP35c33zzjSRpxowZio6O1sSJE9WyZUtFR0frrbfe0qpVq7R7924PjwbA5eIeIABGuOWWW1z/9vb2Vr169dS6dWtXW0hIiCQpPz9fkvT1119r1apVZd5P9P333+uGG26o4ooBVCUCEAAj1KpVy+2zzWZza/vl6TKn0ylJKioqUo8ePTRp0qTz9tWoUaMqrBRAdSAAAUAZ2rZtqw8//FDNmjWTjw9/KoGrDfcAAUAZkpOT9eOPP6p///7atGmTvv/+e3322WdKSkpSaWmpp8sDcJkIQABQhrCwMH3xxRcqLS1Vt27d1Lp1a6WkpKh27dry8uJPJ1DT2SxelwoAAAzD/8YAAADjEIAAAIBxCEAAAMA4BCAAAGAcAhAAADAOAQgAABiHAAQAAIxDAAIAAMYhAAEAAOMQgAAAgHEIQAAAwDgEIAAAYJz/A83l9M2BlvAzAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean arrival time: 1.0\n"
     ]
    }
   ],
   "source": [
    "inter_arrival_time = np.full(shape=SAMPLE_SIZE, dtype=int, fill_value=ARRIVAL_RATE)\n",
    "\n",
    "plt.title(\"Arrival time distribution\")\n",
    "plt.xlabel(\"Value\")\n",
    "plt.ylabel(\"Count\")\n",
    "plt.hist(inter_arrival_time, alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Arrival times\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Value\")\n",
    "plt.plot(inter_arrival_time, alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "print(f'Mean arrival time: {inter_arrival_time.mean()}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "719c7622-0ae3-4ce1-b293-e373ab8c459c",
   "metadata": {},
   "source": [
    "## Queue length over time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "e26dad1f-3f14-4b32-b857-062dc78fc427",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean queue length: 1.941747572815534\n"
     ]
    }
   ],
   "source": [
    "from src.queue import Queue\n",
    "\n",
    "queue = Queue(inter_arrival_time, np.full(shape=SAMPLE_SIZE, dtype=int, fill_value=EXECUTION_RATE), executors=EXECUTORS)\n",
    "queue.process()\n",
    "\n",
    "plt.title(\"Queue length over time\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Length\")\n",
    "plt.scatter(*zip(*queue.length_with_timestamps), alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Queue length at index\")\n",
    "plt.xlabel(\"Index\")\n",
    "plt.ylabel(\"Length\")\n",
    "plt.plot(queue.length, alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "print(f'Mean queue length: {queue.length.mean()}')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "459f769c-6236-4458-bdc7-43d48a6642fb",
   "metadata": {},
   "source": [
    "## Departure time and distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "16dbc4df-a1e5-4256-afb4-e9a7d86dc822",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"Departure times\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Duration\")\n",
    "plt.plot(queue.departure_times, alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Departure distribution\")\n",
    "plt.xlabel(\"Value\")\n",
    "plt.ylabel(\"Count\")\n",
    "plt.hist(queue.departure_times, alpha=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dee6075e-d0f3-4862-8bde-4357e3a8f21f",
   "metadata": {},
   "source": [
    "## Wait time and distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "fe4e2218-3212-4c38-ab0b-cc98ac026e52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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URUVFKT09/art8/Pz9f/+3//T2LFjy9XNmDFDTZo0UdeuXTV79mxdvny5wvMWFxfLZrM5bAAAoH5q4OwBXFFWVqa4uDj16tVLHTp0qLBdXl6erFarQ5nValVeXt5V269YsULe3t568MEHHconTJigu+66S/7+/tqxY4cSEhKUm5uruXPnXrWfxMRETZ8+/TqvCgAA1EW1JiDFxMQoOztb27Ztq9Z+ly5dqpEjR8rT09OhPD4+3v53p06d5O7urvHjxysxMVEeHh7l+klISHA4xmazKTg4uFrHCgAAaodaEZBiY2OVkpKirVu3qkWLFj/bNjAwUPn5+Q5l+fn5CgwMLNf2k08+UU5Ojt57771rjiEsLEyXL1/WkSNH1LZt23L1Hh4eVw1OAACg/nHqGiTDMBQbG6u1a9dq06ZNCg0NveYx4eHhDoutJWnjxo0KDw8v1/Yf//iHunXrps6dO1+z33379snFxUUBAQGVvwAAAFAvOfUOUkxMjJKSkvT+++/L29vbvo7I19dXXl5ekqRRo0bp1ltvVWJioiRp4sSJ6tOnj+bMmaP77rtPycnJysrK0qJFixz6ttlsWr16tebMmVPuvOnp6crIyFC/fv3k7e2t9PR0Pfvss3r00UfVuHHjm3zVAACgtnNqQFqwYIEkqW/fvg7ly5Yt05gxYyRJR48elYvL/93oioiIUFJSkl5++WVNnjxZbdq00bp168ot7E5OTpZhGBoxYkS583p4eCg5OVnTpk1TcXGxQkND9eyzzzqsMQIAAL9cteo9SHUJ70ECAKDuqZPvQQIAAKgNCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGBCQAIAADAhIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABAAAYEJAAgAAMCEgAQAAmBCQAAAATAhIAAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGBCQAIAADBxakBKTExUjx495O3trYCAAEVHRysnJ+eax61evVrt2rWTp6enOnbsqA8//NChfsyYMbJYLA7bwIEDHdqcPXtWI0eOlI+Pj/z8/DR27FhduHChWq8PAADUTU4NSGlpaYqJidHOnTu1ceNGlZSUaMCAASoqKqrwmB07dmjEiBEaO3as9u7dq+joaEVHRys7O9uh3cCBA5Wbm2vf3n33XYf6kSNH6sCBA9q4caNSUlK0detWjRs37qZcJwAAqFsshmEYzh7EFd99950CAgKUlpame+6556ptHnnkERUVFSklJcVe1rNnT3Xp0kULFy6U9OMdpIKCAq1bt+6qfXzxxRe64447tGvXLnXv3l2StGHDBt177706fvy4goKCrjlWm80mX19fFRYWysfH5zqvFAAAOENlP79r1RqkwsJCSZK/v3+FbdLT0xUZGelQFhUVpfT0dIeyLVu2KCAgQG3bttXTTz+tM2fOOPTh5+dnD0eSFBkZKRcXF2VkZFz1vMXFxbLZbA4bAACon2pNQCorK1NcXJx69eqlDh06VNguLy9PVqvVocxqtSovL8++P3DgQK1cuVKpqamaOXOm0tLSNGjQIJWWltr7CAgIcOijQYMG8vf3d+jnpxITE+Xr62vfgoODq3qpAACglmvg7AFcERMTo+zsbG3btu2G+xo+fLj9744dO6pTp066/fbbtWXLFvXv379KfSYkJCg+Pt6+b7PZCEkAANRTteIOUmxsrFJSUrR582a1aNHiZ9sGBgYqPz/foSw/P1+BgYEVHtOqVSs1bdpUX331lb2PU6dOObS5fPmyzp49W2E/Hh4e8vHxcdgAAED95NSAZBiGYmNjtXbtWm3atEmhoaHXPCY8PFypqakOZRs3blR4eHiFxxw/flxnzpxR8+bN7X0UFBRo9+7d9jabNm1SWVmZwsLCqng1AACgvnBqQIqJidE777yjpKQkeXt7Ky8vT3l5efr+++/tbUaNGqWEhAT7/sSJE7VhwwbNmTNHX375paZNm6asrCzFxsZKki5cuKDnn39eO3fu1JEjR5SamqqhQ4eqdevWioqKkiS1b99eAwcO1FNPPaXMzExt375dsbGxGj58eKWeYAMAAPWbUwPSggULVFhYqL59+6p58+b27b333rO3OXr0qHJzc+37ERERSkpK0qJFi9S5c2f961//0rp16+wLu11dXbV//34NGTJEv/rVrzR27Fh169ZNn3zyiTw8POz9rFq1Su3atVP//v117733qnfv3lq0aFHNXTwAAKi1atV7kOoS3oMEAEDdUyffgwQAAFAbEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGBCQAIAADAhIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABAAAYEJAAgAAMCEgAQAAmBCQAAAATAhIAAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGDi1ICUmJioHj16yNvbWwEBAYqOjlZOTs41j1u9erXatWsnT09PdezYUR9++KG9rqSkRC+++KI6duyohg0bKigoSKNGjdLJkycd+ggJCZHFYnHYZsyYUe3XCAAA6h6nBqS0tDTFxMRo586d2rhxo0pKSjRgwAAVFRVVeMyOHTs0YsQIjR07Vnv37lV0dLSio6OVnZ0tSbp48aL27NmjKVOmaM+ePVqzZo1ycnI0ZMiQcn298sorys3NtW/PPPPMTbtWAABQd1gMwzCcPYgrvvvuOwUEBCgtLU333HPPVds88sgjKioqUkpKir2sZ8+e6tKlixYuXHjVY3bt2qW7775b3377rVq2bCnpxztIcXFxiouLq9JYbTabfH19VVhYKB8fnyr1AQAAalZlP79r1RqkwsJCSZK/v3+FbdLT0xUZGelQFhUVpfT09J/t12KxyM/Pz6F8xowZatKkibp27arZs2fr8uXLFfZRXFwsm83msAEAgPqpgbMHcEVZWZni4uLUq1cvdejQocJ2eXl5slqtDmVWq1V5eXlXbX/p0iW9+OKLGjFihENSnDBhgu666y75+/trx44dSkhIUG5urubOnXvVfhITEzV9+vQqXBkAAKhrak1AiomJUXZ2trZt21ZtfZaUlOi3v/2tDMPQggULHOri4+Ptf3fq1Enu7u4aP368EhMT5eHhUa6vhIQEh2NsNpuCg4OrbawAAKD2qBUBKTY2VikpKdq6datatGjxs20DAwOVn5/vUJafn6/AwECHsivh6Ntvv9WmTZuuuU4oLCxMly9f1pEjR9S2bdty9R4eHlcNTgAAoP5x6hokwzAUGxurtWvXatOmTQoNDb3mMeHh4UpNTXUo27hxo8LDw+37V8LRoUOH9PHHH6tJkybX7Hffvn1ycXFRQEDA9V8IAACoV5x6BykmJkZJSUl6//335e3tbV9H5OvrKy8vL0nSqFGjdOuttyoxMVGSNHHiRPXp00dz5szRfffdp+TkZGVlZWnRokWSfgxHDz30kPbs2aOUlBSVlpba+/X395e7u7vS09OVkZGhfv36ydvbW+np6Xr22Wf16KOPqnHjxk6YCQAAUJs49TF/i8Vy1fJly5ZpzJgxkqS+ffsqJCREy5cvt9evXr1aL7/8so4cOaI2bdpo1qxZuvfeeyVJR44cqfBO1ObNm9W3b1/t2bNHv//97/Xll1+quLhYoaGheuyxxxQfH1/pr9F4zB8AgLqnsp/fteo9SHUJAQkAgLqnTr4HCQAAoDYgIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABAAAYFLlnxopKChQZmamTp06pbKyMoe6UaNG3fDAAAAAnKVKAWn9+vUaOXKkLly4IB8fH4efDLFYLAQkAABQp1XpK7ZJkybpiSee0IULF1RQUKBz587Zt7Nnz1b3GAEAAGpUlQLSiRMnNGHCBN1yyy3VPR4AAACnq1JAioqKUlZWVnWPBQAAoFao0hqk++67T88//7w+//xzdezYUW5ubg71Q4YMqZbBAQAAOIPFMAzjeg9ycan4xpPFYlFpaekNDaousNls8vX1VWFhoXx8fJw9HAAAUAmV/fyu0h0k82P9AAAA9QkvigQAADCpckBKS0vT4MGD1bp1a7Vu3VpDhgzRJ598Up1jAwAAcIoqBaR33nlHkZGRuuWWWzRhwgRNmDBBXl5e6t+/v5KSkqp7jAAAADWqSou027dvr3HjxunZZ591KJ87d64WL16sL774otoGWFuxSBsAgLqnsp/fVbqD9M0332jw4MHlyocMGaLDhw9XpUsAAIBao0oBKTg4WKmpqeXKP/74YwUHB9/woAAAAJypSo/5T5o0SRMmTNC+ffsUEREhSdq+fbuWL1+uv/zlL9U6QAAAgJpWpYD09NNPKzAwUHPmzNE///lPST+uS3rvvfc0dOjQah0gAABATavSIm2wSBsAgLropi7SBgAAqM8q/RWbv7+/Dh48qKZNm6px48ayWCwVtj179my1DA4AAMAZKh2Q3njjDXl7e9v//rmABAAAUJexBqmKWIMEAEDdc1PXILm6uurUqVPlys+cOSNXV9eqdAkAAFBrVCkgVXTTqbi4WO7u7jc0IAAAAGe7roA0b948zZs3TxaLRUuWLLHvz5s3T2+88YZiYmLUrl27SveXmJioHj16yNvbWwEBAYqOjlZOTs41j1u9erXatWsnT09PdezYUR9++KFDvWEYmjp1qpo3by4vLy9FRkbq0KFDDm3Onj2rkSNHysfHR35+fho7dqwuXLhQ6bEDAID667rWIIWGhkqSvv32W7Vo0cLh6zR3d3eFhITolVdeUVhYWKX6GzhwoIYPH64ePXro8uXLmjx5srKzs/X555+rYcOGVz1mx44duueee5SYmKj7779fSUlJmjlzpvbs2aMOHTpIkmbOnKnExEStWLFCoaGhmjJlij777DN9/vnn8vT0lCQNGjRIubm5+vvf/66SkhI9/vjj6tGjh5KSkio1dtYgAQBQ91T287tKi7T79eunNWvWqHHjxjc0SLPvvvtOAQEBSktL0z333HPVNo888oiKioqUkpJiL+vZs6e6dOmihQsXyjAMBQUFadKkSXruueckSYWFhbJarVq+fLmGDx+uL774QnfccYd27dql7t27S5I2bNige++9V8ePH1dQUNA1x3ozApJhGCopZc08AACS5OZqqfan5iv7+V2lnxrZvHlzlQf2cwoLCyX9+M6liqSnpys+Pt6hLCoqSuvWrZMkHT58WHl5eYqMjLTX+/r6KiwsTOnp6Ro+fLjS09Pl5+dnD0eSFBkZKRcXF2VkZOiBBx4od97i4mIVFxfb9202W5Wu8eeUlBqav/mrau8XAIC6KKZfa7k3cM5rhaoUkCTp+PHj+uCDD3T06FH98MMPDnVz58697v7KysoUFxenXr162b8qu5q8vDxZrVaHMqvVqry8PHv9lbKfaxMQEOBQ36BBA/n7+9vbmCUmJmr69OnXd1EAAKBOqlJASk1N1ZAhQ9SqVSt9+eWX6tChg44cOSLDMHTXXXdVaSAxMTHKzs7Wtm3bqnT8zZaQkOBw58pmsyk4OLhaz+HmalFMv9bV2icAAHWVm6vzXkpdpYCUkJCg5557TtOnT5e3t7f+/e9/KyAgQCNHjtTAgQOvu7/Y2FilpKRo69atatGixc+2DQwMVH5+vkNZfn6+AgMD7fVXypo3b+7QpkuXLvY25vc4Xb58WWfPnrUfb+bh4SEPD4/ruq7rZbFYnHYrEQAA/J8qvQfpiy++0KhRoyT9+NXU999/r0aNGumVV17RzJkzK92PYRiKjY3V2rVrtWnTJvtTcj8nPDxcqampDmUbN25UeHi4pB+ftAsMDHRoY7PZlJGRYW8THh6ugoIC7d69295m06ZNKisrq/QTeAAAoP6qUkBq2LChfd1R8+bN9fXXX9vrTp8+Xel+YmJi9M477ygpKUne3t7Ky8tTXl6evv/+e3ubUaNGKSEhwb4/ceJEbdiwQXPmzNGXX36padOmKSsrS7GxsZJ+vAsTFxen1157TR988IE+++wzjRo1SkFBQYqOjpYktW/fXgMHDtRTTz2lzMxMbd++XbGxsRo+fHilnmADAAD1W5W+YuvZs6e2bdum9u3b695779WkSZP02Wefac2aNerZs2el+1mwYIEkqW/fvg7ly5Yt05gxYyRJR48elYvL/+W4iIgIJSUl6eWXX9bkyZPVpk0brVu3zmFh9wsvvKCioiKNGzdOBQUF6t27tzZs2GB/B5IkrVq1SrGxserfv79cXFw0bNgwzZs3rwqzAQAA6psqvQfpm2++0YULF9SpUycVFRVp0qRJ2rFjh9q0aaO5c+fqtttuuxljrVV4USQAAHXPTXsPUmlpqY4fP65OnTpJ+vHrtoULF1Z9pAAAALXMda9BcnV11YABA3Tu3LmbMR4AAACnq9Ii7Q4dOuibb76p7rEAAADUClUKSK+99pqee+45paSkKDc3VzabzWEDAACoy6q0SPunT5X99EfkDMOQxWJRaWlp9YyuFmORNgAAdU+d/LFaAACA2qBKAalPnz7VPQ4AAIBao0oBaevWrT9bf88991RpMAAAALVBlQKS+c3XkuNapF/CGiQAAFB/VekptnPnzjlsp06d0oYNG9SjRw999NFH1T1GAACAGlWlO0i+vr7lyn7zm9/I3d1d8fHx2r179w0PDAAAwFmqdAepIlarVTk5OdXZJQAAQI2r0h2k/fv3O+wbhqHc3FzNmDFDXbp0qY5xAQAAOE2VAlKXLl1ksVhkfsdkz549tXTp0moZGAAAgLNUKSAdPnzYYd/FxUXNmjWTp6dntQwKAADAma47IJWVlSk1NVVr1qzRkSNHZLFYFBoaqoceekiPPfaYw+P+AAAAddF1LdI2DENDhgzRk08+qRMnTqhjx46688479e2332rMmDF64IEHbtY4AQAAasx13UFavny5tm7dqtTUVPXr18+hbtOmTYqOjtbKlSs1atSoah0kAABATbquO0jvvvuuJk+eXC4cSdKvf/1rvfTSS1q1alW1DQ4AAMAZrisg7d+/XwMHDqywftCgQfr0009veFAAAADOdF0B6ezZs7JarRXWW61WnTt37oYHBQAA4EzXFZBKS0vVoEHFy5ZcXV11+fLlGx4UAACAM13XIm3DMDRmzBh5eHhctb64uLhaBgUAAOBM1xWQRo8efc02PMEGAADquusKSMuWLbtZ4wAAAKg1rmsNEgAAwC8BAQkAAMCEgAQAAGBCQAIAADAhIAEAAJgQkAAAAEycGpC2bt2qwYMHKygoSBaLRevWrbvmMfPnz1f79u3l5eWltm3bauXKlQ71ffv2lcViKbfdd9999jZjxowpV/9zvzEHAAB+Wa7rPUjVraioSJ07d9YTTzyhBx988JrtFyxYoISEBC1evFg9evRQZmamnnrqKTVu3FiDBw+WJK1Zs0Y//PCD/ZgzZ86oc+fOevjhhx36GjhwoMN7nSp6OzgAAPjlcWpAGjRokAYNGlTp9m+//bbGjx+vRx55RJLUqlUr7dq1SzNnzrQHJH9/f4djkpOTdcstt5QLSB4eHgoMDLzBKwAAAPVRnVqDVFxcLE9PT4cyLy8vZWZmqqSk5KrH/OMf/9Dw4cPVsGFDh/ItW7YoICBAbdu21dNPP60zZ85c89w2m81hAwAA9VOdCkhRUVFasmSJdu/eLcMwlJWVpSVLlqikpESnT58u1z4zM1PZ2dl68sknHcoHDhyolStXKjU1VTNnzlRaWpoGDRqk0tLSCs+dmJgoX19f+xYcHFzt1wcAAGoHi2EYhrMHIUkWi0Vr165VdHR0hW2+//57xcTE6O2335ZhGLJarXr00Uc1a9Ys5eXlyWq1OrQfP3680tPTtX///p899zfffKPbb79dH3/8sfr373/VNsXFxSouLrbv22w2BQcHq7CwUD4+PpW/UAAA4DQ2m02+vr7X/PyuU3eQvLy8tHTpUl28eFFHjhzR0aNHFRISIm9vbzVr1syhbVFRkZKTkzV27Nhr9tuqVSs1bdpUX331VYVtPDw85OPj47ABAID6yamLtKvKzc1NLVq0kPTjIuz7779fLi6OWW/16tUqLi7Wo48+es3+jh8/rjNnzqh58+Y3ZbwAAKBucWpAunDhgsNdm8OHD2vfvn3y9/dXy5YtlZCQoBMnTtjfdXTw4EFlZmYqLCxM586d09y5c5Wdna0VK1aU6/sf//iHoqOj1aRJk3LnnD59uoYNG6bAwEB9/fXXeuGFF9S6dWtFRUXd3AsGAAB1glMDUlZWlvr162ffj4+PlySNHj1ay5cvV25uro4ePWqvLy0t1Zw5c5STkyM3Nzf169dPO3bsUEhIiEO/OTk52rZtmz766KNy53R1ddX+/fu1YsUKFRQUKCgoSAMGDNCrr77Ku5AAAICkWrRIu66p7CIvAABQe9TLRdoAAAA1gYAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGBCQAIAADAhIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABAAAYEJAAgAAMCEgAQAAmBCQAAAATAhIAAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATpwakrVu3avDgwQoKCpLFYtG6deuuecz8+fPVvn17eXl5qW3btlq5cqVD/fLly2WxWBw2T09PhzaGYWjq1Klq3ry5vLy8FBkZqUOHDlXnpQEAgDrMqQGpqKhInTt31vz58yvVfsGCBUpISNC0adN04MABTZ8+XTExMVq/fr1DOx8fH+Xm5tq3b7/91qF+1qxZmjdvnhYuXKiMjAw1bNhQUVFRunTpUrVdGwAAqLsaOPPkgwYN0qBBgyrd/u2339b48eP1yCOPSJJatWqlXbt2aebMmRo8eLC9ncViUWBg4FX7MAxDb775pl5++WUNHTpUkrRy5UpZrVatW7dOw4cPv4ErAgAA9UGdWoNUXFxc7usyLy8vZWZmqqSkxF524cIF3XbbbQoODtbQoUN14MABe93hw4eVl5enyMhIe5mvr6/CwsKUnp7+s+e22WwOGwAAqJ/qVECKiorSkiVLtHv3bhmGoaysLC1ZskQlJSU6ffq0JKlt27ZaunSp3n//fb3zzjsqKytTRESEjh8/LknKy8uTJFmtVoe+rVarve5qEhMT5evra9+Cg4Nv0lUCAABnq1MBacqUKRo0aJB69uwpNzc3DR06VKNHj5Ykubj8eCnh4eEaNWqUunTpoj59+mjNmjVq1qyZ/v73v9/QuRMSElRYWGjfjh07dsPXAwAAaqc6FZC8vLy0dOlSXbx4UUeOHNHRo0cVEhIib29vNWvW7KrHuLm5qWvXrvrqq68kyb42KT8/36Fdfn5+heuWJMnDw0M+Pj4OGwAAqJ/qVEC6ws3NTS1atJCrq6uSk5N1//332+8gmZWWluqzzz5T8+bNJUmhoaEKDAxUamqqvY3NZlNGRobCw8NrZPwAAKB2c+pTbBcuXLDf2ZF+XEC9b98++fv7q2XLlkpISNCJEyfs7zo6ePCgMjMzFRYWpnPnzmnu3LnKzs7WihUr7H288sor6tmzp1q3bq2CggLNnj1b3377rZ588klJPz7hFhcXp9dee01t2rRRaGiopkyZoqCgIEVHR9fo9QMAgNrJqQEpKytL/fr1s+/Hx8dLkkaPHq3ly5crNzdXR48etdeXlpZqzpw5ysnJkZubm/r166cdO3YoJCTE3ubcuXN66qmnlJeXp8aNG6tbt27asWOH7rjjDnubF154QUVFRRo3bpwKCgrUu3dvbdiwodwTcgAA4JfJYhiG4exB1EU2m02+vr4qLCxkPRIAAHVEZT+/6+QaJAAAgJuJgAQAAGBCQAIAADAhIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABAAAYEJAAgAAMCEgAQAAmBCQAAAATAhIAAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGBCQAIAADAhIAEAAJgQkAAAAEwISAAAACYEJAAAABOnBqStW7dq8ODBCgoKksVi0bp16655zPz589W+fXt5eXmpbdu2WrlypUP94sWL9T//8z9q3LixGjdurMjISGVmZjq0GTNmjCwWi8M2cODA6rw0AABQhzk1IBUVFalz586aP39+pdovWLBACQkJmjZtmg4cOKDp06crJiZG69evt7fZsmWLRowYoc2bNys9PV3BwcEaMGCATpw44dDXwIEDlZuba9/efffdar02AABQd1kMwzCcPQhJslgsWrt2raKjoytsExERoV69emn27Nn2skmTJikjI0Pbtm276jGlpaVq3Lix3nrrLY0aNUrSj3eQCgoKKnXHqiI2m02+vr4qLCyUj49PlfsBAAA1p7Kf33VqDVJxcbE8PT0dyry8vJSZmamSkpKrHnPx4kWVlJTI39/foXzLli0KCAhQ27Zt9fTTT+vMmTPXPLfNZnPYAABA/VSnAlJUVJSWLFmi3bt3yzAMZWVlacmSJSopKdHp06evesyLL76ooKAgRUZG2ssGDhyolStXKjU1VTNnzlRaWpoGDRqk0tLSCs+dmJgoX19f+xYcHFzt1wcAAGqHBs4ewPWYMmWK8vLy1LNnTxmGIavVqtGjR2vWrFlycSmf9WbMmKHk5GRt2bLF4c7T8OHD7X937NhRnTp10u23364tW7aof//+Vz13QkKC4uPj7fs2m42QBABAPVWn7iB5eXlp6dKlunjxoo4cOaKjR48qJCRE3t7eatasmUPbP//5z5oxY4Y++ugjderU6Wf7bdWqlZo2baqvvvqqwjYeHh7y8fFx2AAAQP1Up+4gXeHm5qYWLVpIkpKTk3X//fc73EGaNWuWXn/9df33v/9V9+7dr9nf8ePHdebMGTVv3vymjRkAANQdTg1IFy5ccLhrc/jwYe3bt0/+/v5q2bKlEhISdOLECfu7jg4ePKjMzEyFhYXp3Llzmjt3rrKzs7VixQp7HzNnztTUqVOVlJSkkJAQ5eXlSZIaNWqkRo0a6cKFC5o+fbqGDRumwMBAff3113rhhRfUunVrRUVF1ewEAACAWsmpX7FlZWWpa9eu6tq1qyQpPj5eXbt21dSpUyVJubm5Onr0qL19aWmp5syZo86dO+s3v/mNLl26pB07digkJMTeZsGCBfrhhx/00EMPqXnz5vbtz3/+syTJ1dVV+/fv15AhQ/SrX/1KY8eOVbdu3fTJJ5/Iw8Oj5i4eAADUWrXmPUh1De9BAgCg7qmX70ECAACoCQQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMCEgAQAAGBCQAIAADAhIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABAAAYEJAAgAAMCEgAQAAmBCQAAAATAhIAAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYODUgbd26VYMHD1ZQUJAsFovWrVt3zWPmz5+v9u3by8vLS23bttXKlSvLtVm9erXatWsnT09PdezYUR9++KFDvWEYmjp1qpo3by4vLy9FRkbq0KFD1XVZAACgjnNqQCoqKlLnzp01f/78SrVfsGCBEhISNG3aNB04cEDTp09XTEyM1q9fb2+zY8cOjRgxQmPHjtXevXsVHR2t6OhoZWdn29vMmjVL8+bN08KFC5WRkaGGDRsqKipKly5dqvZrBAAAdY/FMAzD2YOQJIvForVr1yo6OrrCNhEREerVq5dmz55tL5s0aZIyMjK0bds2SdIjjzyioqIipaSk2Nv07NlTXbp00cKFC2UYhoKCgjRp0iQ999xzkqTCwkJZrVYtX75cw4cPr9R4bTabfH19VVhYKB8fnypcMQAAqGmV/fyuU2uQiouL5enp6VDm5eWlzMxMlZSUSJLS09MVGRnp0CYqKkrp6emSpMOHDysvL8+hja+vr8LCwuxtKjq3zWZz2AAAQP1UpwJSVFSUlixZot27d8swDGVlZWnJkiUqKSnR6dOnJUl5eXmyWq0Ox1mtVuXl5dnrr5RV1OZqEhMT5evra9+Cg4Or89IAAEAtUqcC0pQpUzRo0CD17NlTbm5uGjp0qEaPHi1JcnG5uZeSkJCgwsJC+3bs2LGbej4AAOA8dSogeXl5aenSpbp48aKOHDmio0ePKiQkRN7e3mrWrJkkKTAwUPn5+Q7H5efnKzAw0F5/payiNlfj4eEhHx8fhw0AANRPdSogXeHm5qYWLVrI1dVVycnJuv/+++13kMLDw5WamurQfuPGjQoPD5ckhYaGKjAw0KGNzWZTRkaGvQ0AAPhla+DMk1+4cEFfffWVff/w4cPat2+f/P391bJlSyUkJOjEiRP2dx0dPHhQmZmZCgsL07lz5zR37lxlZ2drxYoV9j4mTpyoPn36aM6cObrvvvuUnJysrKwsLVq0SNKPT8vFxcXptddeU5s2bRQaGqopU6YoKCjoZ5+gAwAAvxxODUhZWVnq16+ffT8+Pl6SNHr0aC1fvly5ubk6evSovb60tFRz5sxRTk6O3Nzc1K9fP+3YsUMhISH2NhEREUpKStLLL7+syZMnq02bNlq3bp06dOhgb/PCCy+oqKhI48aNU0FBgXr37q0NGzaUe0IOAAD8MtWa9yDVNbwHCQCAuqdevgcJAACgJhCQAAAATAhIAAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYOPWnRuqyKy8gt9lsTh4JAACorCuf29f6IRECUhWdP39ekhQcHOzkkQAAgOt1/vx5+fr6VljPb7FVUVlZmU6ePClvb29ZLJZq69dmsyk4OFjHjh3jN95qAPNdc5jrmsNc1xzmuuZU11wbhqHz588rKChILi4VrzTiDlIVubi4qEWLFjetfx8fH/7HVoOY75rDXNcc5rrmMNc1pzrm+ufuHF3BIm0AAAATAhIAAIAJAamW8fDw0B//+Ed5eHg4eyi/CMx3zWGuaw5zXXOY65pT03PNIm0AAAAT7iABAACYEJAAAABMCEgAAAAmBCQAAAATAlItM3/+fIWEhMjT01NhYWHKzMx09pDqvMTERPXo0UPe3t4KCAhQdHS0cnJyHNpcunRJMTExatKkiRo1aqRhw4YpPz/fSSOuP2bMmCGLxaK4uDh7GXNdfU6cOKFHH31UTZo0kZeXlzp27KisrCx7vWEYmjp1qpo3by4vLy9FRkbq0KFDThxx3VRaWqopU6YoNDRUXl5euv322/Xqq686/JYXc101W7du1eDBgxUUFCSLxaJ169Y51FdmXs+ePauRI0fKx8dHfn5+Gjt2rC5cuHDDYyMg1SLvvfee4uPj9cc//lF79uxR586dFRUVpVOnTjl7aHVaWlqaYmJitHPnTm3cuFElJSUaMGCAioqK7G2effZZrV+/XqtXr1ZaWppOnjypBx980Imjrvt27dqlv//97+rUqZNDOXNdPc6dO6devXrJzc1N//nPf/T5559rzpw5aty4sb3NrFmzNG/ePC1cuFAZGRlq2LChoqKidOnSJSeOvO6ZOXOmFixYoLfeektffPGFZs6cqVmzZumvf/2rvQ1zXTVFRUXq3Lmz5s+ff9X6yszryJEjdeDAAW3cuFEpKSnaunWrxo0bd+ODM1Br3H333UZMTIx9v7S01AgKCjISExOdOKr659SpU4YkIy0tzTAMwygoKDDc3NyM1atX29t88cUXhiQjPT3dWcOs086fP2+0adPG2Lhxo9GnTx9j4sSJhmEw19XpxRdfNHr37l1hfVlZmREYGGjMnj3bXlZQUGB4eHgY7777bk0Msd647777jCeeeMKh7MEHHzRGjhxpGAZzXV0kGWvXrrXvV2ZeP//8c0OSsWvXLnub//znP4bFYjFOnDhxQ+PhDlIt8cMPP2j37t2KjIy0l7m4uCgyMlLp6elOHFn9U1hYKEny9/eXJO3evVslJSUOc9+uXTu1bNmSua+imJgY3XfffQ5zKjHX1emDDz5Q9+7d9fDDDysgIEBdu3bV4sWL7fWHDx9WXl6ew1z7+voqLCyMub5OERERSk1N1cGDByVJn376qbZt26ZBgwZJYq5vlsrMa3p6uvz8/NS9e3d7m8jISLm4uCgjI+OGzs+P1dYSp0+fVmlpqaxWq0O51WrVl19+6aRR1T9lZWWKi4tTr1691KFDB0lSXl6e3N3d5efn59DWarUqLy/PCaOs25KTk7Vnzx7t2rWrXB1zXX2++eYbLViwQPHx8Zo8ebJ27dqlCRMmyN3dXaNHj7bP59X+TWGur89LL70km82mdu3aydXVVaWlpXr99dc1cuRISWKub5LKzGteXp4CAgIc6hs0aCB/f/8bnnsCEn5RYmJilJ2drW3btjl7KPXSsWPHNHHiRG3cuFGenp7OHk69VlZWpu7du+tPf/qTJKlr167Kzs7WwoULNXr0aCePrn755z//qVWrVikpKUl33nmn9u3bp7i4OAUFBTHX9RhfsdUSTZs2laura7mnefLz8xUYGOikUdUvsbGxSklJ0ebNm9WiRQt7eWBgoH744QcVFBQ4tGfur9/u3bt16tQp3XXXXWrQoIEaNGigtLQ0zZs3Tw0aNJDVamWuq0nz5s11xx13OJS1b99eR48elST7fPJvyo17/vnn9dJLL2n48OHq2LGjHnvsMT377LNKTEyUxFzfLJWZ18DAwHIPMl2+fFlnz5694bknINUS7u7u6tatm1JTU+1lZWVlSk1NVXh4uBNHVvcZhqHY2FitXbtWmzZtUmhoqEN9t27d5Obm5jD3OTk5Onr0KHN/nfr376/PPvtM+/bts2/du3fXyJEj7X8z19WjV69e5V5XcfDgQd12222SpNDQUAUGBjrMtc1mU0ZGBnN9nS5evCgXF8ePS1dXV5WVlUlirm+WysxreHi4CgoKtHv3bnubTZs2qaysTGFhYTc2gBta4o1qlZycbHh4eBjLly83Pv/8c2PcuHGGn5+fkZeX5+yh1WlPP/204evra2zZssXIzc21bxcvXrS3+d3vfme0bNnS2LRpk5GVlWWEh4cb4eHhThx1/fHTp9gMg7muLpmZmUaDBg2M119/3Th06JCxatUq45ZbbjHeeecde5sZM2YYfn5+xvvvv2/s37/fGDp0qBEaGmp8//33Thx53TN69Gjj1ltvNVJSUozDhw8ba9asMZo2bWq88MIL9jbMddWcP3/e2Lt3r7F3715DkjF37lxj7969xrfffmsYRuXmdeDAgUbXrl2NjIwMY9u2bUabNm2MESNG3PDYCEi1zF//+lejZcuWhru7u3H33XcbO3fudPaQ6jxJV92WLVtmb/P9998bv//9743GjRsbt9xyi/HAAw8Yubm5zht0PWIOSMx19Vm/fr3RoUMHw8PDw2jXrp2xaNEih/qysjJjypQphtVqNTw8PIz+/fsbOTk5Thpt3WWz2YyJEycaLVu2NDw9PY1WrVoZf/jDH4zi4mJ7G+a6ajZv3nzVf59Hjx5tGEbl5vXMmTPGiBEjjEaNGhk+Pj7G448/bpw/f/6Gx2YxjJ+8ChQAAACsQQIAADAjIAEAAJgQkAAAAEwISAAAACYEJAAAABMCEgAAgAkBCQAAwISABOAXacyYMYqOjnb2MADUUg2cPQAAqG4Wi+Vn6//4xz/qL3/5i3hPLoCKEJAA1Du5ubn2v9977z1NnTrV4YddGzVqpEaNGjljaADqCL5iA1DvBAYG2jdfX19ZLBaHskaNGpX7iq1v37565plnFBcXp8aNG8tqtWrx4sUqKirS448/Lm9vb7Vu3Vr/+c9/HM6VnZ2tQYMGqVGjRrJarXrsscd0+vTpGr5iANWNgAQA/2vFihVq2rSpMjMz9cwzz+jpp5/Www8/rIiICO3Zs0cDBgzQY489posXL0qSCgoK9Otf/1pdu3ZVVlaWNmzYoPz8fP32t7918pUAuFEEJAD4X507d9bLL7+sNm3aKCEhQZ6enmratKmeeuoptWnTRlOnTtWZM2e0f/9+SdJbb72lrl276k9/+pPatWunrl27aunSpdq8ebMOHjzo5KsBcCNYgwQA/6tTp072v11dXdWkSRN17NjRXma1WiVJp06dkiR9+umn2rx581XXM3399df61a9+dZNHDOBmISABwP9yc3Nz2LdYLA5lV56OKysrkyRduHBBgwcP1syZM8v11bx585s4UgA3GwEJAKrorrvu0r///W+FhISoQQP+OQXqE9YgAUAVxcTE6OzZsxoxYoR27dqlr7/+Wv/973/1+OOPq7S01NnDA3ADCEgAUEVBQUHavn27SktLNWDAAHXs2FFxcXHy8/OTiwv/vAJ1mcXgVbIAAAAO+L84AAAAJgQkAAAAEwISAACACQEJAADAhIAEAABgQkACAAAwISABAACYEJAAAABMCEgAAAAmBCQAAAATAhIAAIAJAQkAAMDk/wMdhp75ZqZn6wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean wait time: 2.0\n"
     ]
    }
   ],
   "source": [
    "plt.title(\"Wait times\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Duration\")\n",
    "plt.plot(queue.wait_times, alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Wait times\")\n",
    "plt.xlabel(\"Value\")\n",
    "plt.ylabel(\"Count\")\n",
    "plt.hist(queue.wait_times, alpha=0.5)\n",
    "plt.show()\n",
    "\n",
    "print(f'Mean wait time: {queue.wait_times.mean()}')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "48a674f4-4eac-4a89-bc39-4d3b4b1c6afc",
   "metadata": {},
   "source": [
    "# Utilization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "97e9b226-c5a9-46fe-93f3-f3e15bfd7597",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"Utilization\")\n",
    "plt.xlabel(\"Index\")\n",
    "plt.ylabel(\"Utilization (%)\")\n",
    "# plot lines \n",
    "plt.plot(queue.utilization(0) * 100, label = \"executor 0\") \n",
    "# plt.plot(queue.utilization(1) * 100, label = \"executor 1\") \n",
    "plt.legend() \n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}