demo/Demo_stmx_support.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Support for SD modes in .stmx format"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from asdm import sdmodel"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 1: Simulate .stmx model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Functionalities tested:\n",
    "\n",
    "- Load `.stmx` model\n",
    "- Support for arrays\n",
    "- Export simulation result as pandas `DataFrame`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = sdmodel(from_xmile='Model_goal_gap_array.stmx')\n",
    "model.simulate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "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>Stock[1, First]</th>\n",
       "      <th>Stock[1, Second]</th>\n",
       "      <th>Stock[2, First]</th>\n",
       "      <th>Stock[2, Second]</th>\n",
       "      <th>Goal</th>\n",
       "      <th>Gap[1, First]</th>\n",
       "      <th>Gap[1, Second]</th>\n",
       "      <th>Gap[2, First]</th>\n",
       "      <th>Gap[2, Second]</th>\n",
       "      <th>AT[1, First]</th>\n",
       "      <th>AT[1, Second]</th>\n",
       "      <th>AT[2, First]</th>\n",
       "      <th>AT[2, Second]</th>\n",
       "      <th>Flow[1, First]</th>\n",
       "      <th>Flow[1, Second]</th>\n",
       "      <th>Flow[2, First]</th>\n",
       "      <th>Flow[2, Second]</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-80.000000</td>\n",
       "      <td>-80.000000</td>\n",
       "      <td>-80.000000</td>\n",
       "      <td>-80.000000</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-80.000000</td>\n",
       "      <td>-26.666667</td>\n",
       "      <td>-16.000000</td>\n",
       "      <td>-11.428571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>80.000000</td>\n",
       "      <td>93.333333</td>\n",
       "      <td>96.000000</td>\n",
       "      <td>97.142857</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-60.000000</td>\n",
       "      <td>-73.333333</td>\n",
       "      <td>-76.000000</td>\n",
       "      <td>-77.142857</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-60.000000</td>\n",
       "      <td>-24.444444</td>\n",
       "      <td>-15.200000</td>\n",
       "      <td>-11.020408</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>65.000000</td>\n",
       "      <td>87.222222</td>\n",
       "      <td>92.200000</td>\n",
       "      <td>94.387755</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-45.000000</td>\n",
       "      <td>-67.222222</td>\n",
       "      <td>-72.200000</td>\n",
       "      <td>-74.387755</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-45.000000</td>\n",
       "      <td>-22.407407</td>\n",
       "      <td>-14.440000</td>\n",
       "      <td>-10.626822</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>53.750000</td>\n",
       "      <td>81.620370</td>\n",
       "      <td>88.590000</td>\n",
       "      <td>91.731050</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-33.750000</td>\n",
       "      <td>-61.620370</td>\n",
       "      <td>-68.590000</td>\n",
       "      <td>-71.731050</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-33.750000</td>\n",
       "      <td>-20.540123</td>\n",
       "      <td>-13.718000</td>\n",
       "      <td>-10.247293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>45.312500</td>\n",
       "      <td>76.485340</td>\n",
       "      <td>85.160500</td>\n",
       "      <td>89.169226</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-25.312500</td>\n",
       "      <td>-56.485340</td>\n",
       "      <td>-65.160500</td>\n",
       "      <td>-69.169226</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-25.312500</td>\n",
       "      <td>-18.828447</td>\n",
       "      <td>-13.032100</td>\n",
       "      <td>-9.881318</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>38.984375</td>\n",
       "      <td>71.778228</td>\n",
       "      <td>81.902475</td>\n",
       "      <td>86.698897</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-18.984375</td>\n",
       "      <td>-51.778228</td>\n",
       "      <td>-61.902475</td>\n",
       "      <td>-66.698897</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-18.984375</td>\n",
       "      <td>-17.259409</td>\n",
       "      <td>-12.380495</td>\n",
       "      <td>-9.528414</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>34.238281</td>\n",
       "      <td>67.463376</td>\n",
       "      <td>78.807351</td>\n",
       "      <td>84.316793</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-14.238281</td>\n",
       "      <td>-47.463376</td>\n",
       "      <td>-58.807351</td>\n",
       "      <td>-64.316793</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-14.238281</td>\n",
       "      <td>-15.821125</td>\n",
       "      <td>-11.761470</td>\n",
       "      <td>-9.188113</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>30.678711</td>\n",
       "      <td>63.508094</td>\n",
       "      <td>75.866984</td>\n",
       "      <td>82.019765</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-10.678711</td>\n",
       "      <td>-43.508094</td>\n",
       "      <td>-55.866984</td>\n",
       "      <td>-62.019765</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-10.678711</td>\n",
       "      <td>-14.502698</td>\n",
       "      <td>-11.173397</td>\n",
       "      <td>-8.859966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>28.009033</td>\n",
       "      <td>59.882420</td>\n",
       "      <td>73.073635</td>\n",
       "      <td>79.804773</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-8.009033</td>\n",
       "      <td>-39.882420</td>\n",
       "      <td>-53.073635</td>\n",
       "      <td>-59.804773</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-8.009033</td>\n",
       "      <td>-13.294140</td>\n",
       "      <td>-10.614727</td>\n",
       "      <td>-8.543539</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>26.006775</td>\n",
       "      <td>56.558885</td>\n",
       "      <td>70.419953</td>\n",
       "      <td>77.668889</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-6.006775</td>\n",
       "      <td>-36.558885</td>\n",
       "      <td>-50.419953</td>\n",
       "      <td>-57.668889</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-6.006775</td>\n",
       "      <td>-12.186295</td>\n",
       "      <td>-10.083991</td>\n",
       "      <td>-8.238413</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>24.505081</td>\n",
       "      <td>53.512311</td>\n",
       "      <td>67.898955</td>\n",
       "      <td>75.609286</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-4.505081</td>\n",
       "      <td>-33.512311</td>\n",
       "      <td>-47.898955</td>\n",
       "      <td>-55.609286</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-4.505081</td>\n",
       "      <td>-11.170770</td>\n",
       "      <td>-9.579791</td>\n",
       "      <td>-7.944184</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>23.378811</td>\n",
       "      <td>50.719618</td>\n",
       "      <td>65.504007</td>\n",
       "      <td>73.623240</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-3.378811</td>\n",
       "      <td>-30.719618</td>\n",
       "      <td>-45.504007</td>\n",
       "      <td>-53.623240</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-3.378811</td>\n",
       "      <td>-10.239873</td>\n",
       "      <td>-9.100801</td>\n",
       "      <td>-7.660463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>22.534108</td>\n",
       "      <td>48.159650</td>\n",
       "      <td>63.228807</td>\n",
       "      <td>71.708124</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-2.534108</td>\n",
       "      <td>-28.159650</td>\n",
       "      <td>-43.228807</td>\n",
       "      <td>-51.708124</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-2.534108</td>\n",
       "      <td>-9.386550</td>\n",
       "      <td>-8.645761</td>\n",
       "      <td>-7.386875</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>21.900581</td>\n",
       "      <td>45.813013</td>\n",
       "      <td>61.067367</td>\n",
       "      <td>69.861405</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-1.900581</td>\n",
       "      <td>-25.813013</td>\n",
       "      <td>-41.067367</td>\n",
       "      <td>-49.861405</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-1.900581</td>\n",
       "      <td>-8.604338</td>\n",
       "      <td>-8.213473</td>\n",
       "      <td>-7.123058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>21.425436</td>\n",
       "      <td>43.661928</td>\n",
       "      <td>59.013998</td>\n",
       "      <td>68.080641</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-1.425436</td>\n",
       "      <td>-23.661928</td>\n",
       "      <td>-39.013998</td>\n",
       "      <td>-48.080641</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-1.425436</td>\n",
       "      <td>-7.887309</td>\n",
       "      <td>-7.802800</td>\n",
       "      <td>-6.868663</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>21.069077</td>\n",
       "      <td>41.690101</td>\n",
       "      <td>57.063298</td>\n",
       "      <td>66.363475</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-1.069077</td>\n",
       "      <td>-21.690101</td>\n",
       "      <td>-37.063298</td>\n",
       "      <td>-46.363475</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-1.069077</td>\n",
       "      <td>-7.230034</td>\n",
       "      <td>-7.412660</td>\n",
       "      <td>-6.623354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>20.801808</td>\n",
       "      <td>39.882593</td>\n",
       "      <td>55.210133</td>\n",
       "      <td>64.707637</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-0.801808</td>\n",
       "      <td>-19.882593</td>\n",
       "      <td>-35.210133</td>\n",
       "      <td>-44.707637</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-0.801808</td>\n",
       "      <td>-6.627531</td>\n",
       "      <td>-7.042027</td>\n",
       "      <td>-6.386805</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>20.601356</td>\n",
       "      <td>38.225710</td>\n",
       "      <td>53.449627</td>\n",
       "      <td>63.110935</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-0.601356</td>\n",
       "      <td>-18.225710</td>\n",
       "      <td>-33.449627</td>\n",
       "      <td>-43.110935</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-0.601356</td>\n",
       "      <td>-6.075237</td>\n",
       "      <td>-6.689925</td>\n",
       "      <td>-6.158705</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>20.451017</td>\n",
       "      <td>36.706901</td>\n",
       "      <td>51.777145</td>\n",
       "      <td>61.571259</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-0.451017</td>\n",
       "      <td>-16.706901</td>\n",
       "      <td>-31.777145</td>\n",
       "      <td>-41.571259</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-0.451017</td>\n",
       "      <td>-5.568967</td>\n",
       "      <td>-6.355429</td>\n",
       "      <td>-5.938751</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>20.338263</td>\n",
       "      <td>35.314659</td>\n",
       "      <td>50.188288</td>\n",
       "      <td>60.086571</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-0.338263</td>\n",
       "      <td>-15.314659</td>\n",
       "      <td>-30.188288</td>\n",
       "      <td>-40.086571</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-0.338263</td>\n",
       "      <td>-5.104886</td>\n",
       "      <td>-6.037658</td>\n",
       "      <td>-5.726653</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20.253697</td>\n",
       "      <td>34.038437</td>\n",
       "      <td>48.678874</td>\n",
       "      <td>58.654908</td>\n",
       "      <td>20.0</td>\n",
       "      <td>-0.253697</td>\n",
       "      <td>-14.038437</td>\n",
       "      <td>-28.678874</td>\n",
       "      <td>-38.654908</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>-0.253697</td>\n",
       "      <td>-4.679479</td>\n",
       "      <td>-5.735775</td>\n",
       "      <td>-5.522130</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Stock[1, First]  Stock[1, Second]  Stock[2, First]  Stock[2, Second]  \\\n",
       "0        100.000000        100.000000       100.000000        100.000000   \n",
       "1         80.000000         93.333333        96.000000         97.142857   \n",
       "2         65.000000         87.222222        92.200000         94.387755   \n",
       "3         53.750000         81.620370        88.590000         91.731050   \n",
       "4         45.312500         76.485340        85.160500         89.169226   \n",
       "5         38.984375         71.778228        81.902475         86.698897   \n",
       "6         34.238281         67.463376        78.807351         84.316793   \n",
       "7         30.678711         63.508094        75.866984         82.019765   \n",
       "8         28.009033         59.882420        73.073635         79.804773   \n",
       "9         26.006775         56.558885        70.419953         77.668889   \n",
       "10        24.505081         53.512311        67.898955         75.609286   \n",
       "11        23.378811         50.719618        65.504007         73.623240   \n",
       "12        22.534108         48.159650        63.228807         71.708124   \n",
       "13        21.900581         45.813013        61.067367         69.861405   \n",
       "14        21.425436         43.661928        59.013998         68.080641   \n",
       "15        21.069077         41.690101        57.063298         66.363475   \n",
       "16        20.801808         39.882593        55.210133         64.707637   \n",
       "17        20.601356         38.225710        53.449627         63.110935   \n",
       "18        20.451017         36.706901        51.777145         61.571259   \n",
       "19        20.338263         35.314659        50.188288         60.086571   \n",
       "20        20.253697         34.038437        48.678874         58.654908   \n",
       "\n",
       "    Goal  Gap[1, First]  Gap[1, Second]  Gap[2, First]  Gap[2, Second]  \\\n",
       "0   20.0     -80.000000      -80.000000     -80.000000      -80.000000   \n",
       "1   20.0     -60.000000      -73.333333     -76.000000      -77.142857   \n",
       "2   20.0     -45.000000      -67.222222     -72.200000      -74.387755   \n",
       "3   20.0     -33.750000      -61.620370     -68.590000      -71.731050   \n",
       "4   20.0     -25.312500      -56.485340     -65.160500      -69.169226   \n",
       "5   20.0     -18.984375      -51.778228     -61.902475      -66.698897   \n",
       "6   20.0     -14.238281      -47.463376     -58.807351      -64.316793   \n",
       "7   20.0     -10.678711      -43.508094     -55.866984      -62.019765   \n",
       "8   20.0      -8.009033      -39.882420     -53.073635      -59.804773   \n",
       "9   20.0      -6.006775      -36.558885     -50.419953      -57.668889   \n",
       "10  20.0      -4.505081      -33.512311     -47.898955      -55.609286   \n",
       "11  20.0      -3.378811      -30.719618     -45.504007      -53.623240   \n",
       "12  20.0      -2.534108      -28.159650     -43.228807      -51.708124   \n",
       "13  20.0      -1.900581      -25.813013     -41.067367      -49.861405   \n",
       "14  20.0      -1.425436      -23.661928     -39.013998      -48.080641   \n",
       "15  20.0      -1.069077      -21.690101     -37.063298      -46.363475   \n",
       "16  20.0      -0.801808      -19.882593     -35.210133      -44.707637   \n",
       "17  20.0      -0.601356      -18.225710     -33.449627      -43.110935   \n",
       "18  20.0      -0.451017      -16.706901     -31.777145      -41.571259   \n",
       "19  20.0      -0.338263      -15.314659     -30.188288      -40.086571   \n",
       "20  20.0      -0.253697      -14.038437     -28.678874      -38.654908   \n",
       "\n",
       "    AT[1, First]  AT[1, Second]  AT[2, First]  AT[2, Second]  Flow[1, First]  \\\n",
       "0            1.0            3.0           5.0            7.0      -80.000000   \n",
       "1            1.0            3.0           5.0            7.0      -60.000000   \n",
       "2            1.0            3.0           5.0            7.0      -45.000000   \n",
       "3            1.0            3.0           5.0            7.0      -33.750000   \n",
       "4            1.0            3.0           5.0            7.0      -25.312500   \n",
       "5            1.0            3.0           5.0            7.0      -18.984375   \n",
       "6            1.0            3.0           5.0            7.0      -14.238281   \n",
       "7            1.0            3.0           5.0            7.0      -10.678711   \n",
       "8            1.0            3.0           5.0            7.0       -8.009033   \n",
       "9            1.0            3.0           5.0            7.0       -6.006775   \n",
       "10           1.0            3.0           5.0            7.0       -4.505081   \n",
       "11           1.0            3.0           5.0            7.0       -3.378811   \n",
       "12           1.0            3.0           5.0            7.0       -2.534108   \n",
       "13           1.0            3.0           5.0            7.0       -1.900581   \n",
       "14           1.0            3.0           5.0            7.0       -1.425436   \n",
       "15           1.0            3.0           5.0            7.0       -1.069077   \n",
       "16           1.0            3.0           5.0            7.0       -0.801808   \n",
       "17           1.0            3.0           5.0            7.0       -0.601356   \n",
       "18           1.0            3.0           5.0            7.0       -0.451017   \n",
       "19           1.0            3.0           5.0            7.0       -0.338263   \n",
       "20           1.0            3.0           5.0            7.0       -0.253697   \n",
       "\n",
       "    Flow[1, Second]  Flow[2, First]  Flow[2, Second]  \n",
       "0        -26.666667      -16.000000       -11.428571  \n",
       "1        -24.444444      -15.200000       -11.020408  \n",
       "2        -22.407407      -14.440000       -10.626822  \n",
       "3        -20.540123      -13.718000       -10.247293  \n",
       "4        -18.828447      -13.032100        -9.881318  \n",
       "5        -17.259409      -12.380495        -9.528414  \n",
       "6        -15.821125      -11.761470        -9.188113  \n",
       "7        -14.502698      -11.173397        -8.859966  \n",
       "8        -13.294140      -10.614727        -8.543539  \n",
       "9        -12.186295      -10.083991        -8.238413  \n",
       "10       -11.170770       -9.579791        -7.944184  \n",
       "11       -10.239873       -9.100801        -7.660463  \n",
       "12        -9.386550       -8.645761        -7.386875  \n",
       "13        -8.604338       -8.213473        -7.123058  \n",
       "14        -7.887309       -7.802800        -6.868663  \n",
       "15        -7.230034       -7.412660        -6.623354  \n",
       "16        -6.627531       -7.042027        -6.386805  \n",
       "17        -6.075237       -6.689925        -6.158705  \n",
       "18        -5.568967       -6.355429        -5.938751  \n",
       "19        -5.104886       -6.037658        -5.726653  \n",
       "20        -4.679479       -5.735775        -5.522130  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result = model.export_simulation_result(format='df')\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result[[\"Stock[1, First]\", \"Stock[1, Second]\", \"Stock[2, First]\", \"Stock[2, Second]\"]].plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 2: Simulate .stmx model with modified equation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'20'"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = sdmodel(from_xmile='Model_goal_gap_array.stmx')\n",
    "model.aux_equations['Goal']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{('1', 'First'): '200',\n",
       " ('1', 'Second'): '150',\n",
       " ('2', 'First'): '100',\n",
       " ('2', 'Second'): '50'}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.replace_element_equation('Goal', {\n",
    "    ('1', 'First'): 200,\n",
    "    ('1', 'Second'): 150,\n",
    "    ('2', 'First'): 100,\n",
    "    ('2', 'Second'): 50\n",
    "})\n",
    "model.aux_equations['Goal']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.simulate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "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>Stock[1, First]</th>\n",
       "      <th>Stock[1, Second]</th>\n",
       "      <th>Stock[2, First]</th>\n",
       "      <th>Stock[2, Second]</th>\n",
       "      <th>Goal[1, First]</th>\n",
       "      <th>Goal[1, Second]</th>\n",
       "      <th>Goal[2, First]</th>\n",
       "      <th>Goal[2, Second]</th>\n",
       "      <th>Gap[1, First]</th>\n",
       "      <th>Gap[1, Second]</th>\n",
       "      <th>Gap[2, First]</th>\n",
       "      <th>Gap[2, Second]</th>\n",
       "      <th>AT[1, First]</th>\n",
       "      <th>AT[1, Second]</th>\n",
       "      <th>AT[2, First]</th>\n",
       "      <th>AT[2, Second]</th>\n",
       "      <th>Flow[1, First]</th>\n",
       "      <th>Flow[1, Second]</th>\n",
       "      <th>Flow[2, First]</th>\n",
       "      <th>Flow[2, Second]</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.0</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>50.000000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-50.000000</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>16.666667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-7.142857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>125.000000</td>\n",
       "      <td>104.166667</td>\n",
       "      <td>100.0</td>\n",
       "      <td>98.214286</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>45.833333</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-48.214286</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>15.277778</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-6.887755</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>143.750000</td>\n",
       "      <td>107.986111</td>\n",
       "      <td>100.0</td>\n",
       "      <td>96.492347</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>56.250000</td>\n",
       "      <td>42.013889</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-46.492347</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>56.250000</td>\n",
       "      <td>14.004630</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-6.641764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>157.812500</td>\n",
       "      <td>111.487269</td>\n",
       "      <td>100.0</td>\n",
       "      <td>94.831906</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>42.187500</td>\n",
       "      <td>38.512731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-44.831906</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>42.187500</td>\n",
       "      <td>12.837577</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-6.404558</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>168.359375</td>\n",
       "      <td>114.696663</td>\n",
       "      <td>100.0</td>\n",
       "      <td>93.230766</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>31.640625</td>\n",
       "      <td>35.303337</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-43.230766</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>31.640625</td>\n",
       "      <td>11.767779</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-6.175824</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>176.269531</td>\n",
       "      <td>117.638608</td>\n",
       "      <td>100.0</td>\n",
       "      <td>91.686811</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>23.730469</td>\n",
       "      <td>32.361392</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-41.686811</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>23.730469</td>\n",
       "      <td>10.787131</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-5.955259</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>182.202148</td>\n",
       "      <td>120.335390</td>\n",
       "      <td>100.0</td>\n",
       "      <td>90.197996</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>17.797852</td>\n",
       "      <td>29.664610</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-40.197996</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>17.797852</td>\n",
       "      <td>9.888203</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-5.742571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>186.651611</td>\n",
       "      <td>122.807441</td>\n",
       "      <td>100.0</td>\n",
       "      <td>88.762353</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>13.348389</td>\n",
       "      <td>27.192559</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-38.762353</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>13.348389</td>\n",
       "      <td>9.064186</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-5.537479</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>189.988708</td>\n",
       "      <td>125.073488</td>\n",
       "      <td>100.0</td>\n",
       "      <td>87.377983</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>10.011292</td>\n",
       "      <td>24.926512</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-37.377983</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>10.011292</td>\n",
       "      <td>8.308837</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-5.339712</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>192.491531</td>\n",
       "      <td>127.150697</td>\n",
       "      <td>100.0</td>\n",
       "      <td>86.043055</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>7.508469</td>\n",
       "      <td>22.849303</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-36.043055</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>7.508469</td>\n",
       "      <td>7.616434</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-5.149008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>194.368649</td>\n",
       "      <td>129.054806</td>\n",
       "      <td>100.0</td>\n",
       "      <td>84.755803</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>5.631351</td>\n",
       "      <td>20.945194</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-34.755803</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5.631351</td>\n",
       "      <td>6.981731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-4.965115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>195.776486</td>\n",
       "      <td>130.800238</td>\n",
       "      <td>100.0</td>\n",
       "      <td>83.514525</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>4.223514</td>\n",
       "      <td>19.199762</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-33.514525</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>4.223514</td>\n",
       "      <td>6.399921</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-4.787789</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>196.832365</td>\n",
       "      <td>132.400219</td>\n",
       "      <td>100.0</td>\n",
       "      <td>82.317577</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>3.167635</td>\n",
       "      <td>17.599781</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-32.317577</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>3.167635</td>\n",
       "      <td>5.866594</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-4.616797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>197.624274</td>\n",
       "      <td>133.866867</td>\n",
       "      <td>100.0</td>\n",
       "      <td>81.163378</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>2.375726</td>\n",
       "      <td>16.133133</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-31.163378</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>2.375726</td>\n",
       "      <td>5.377711</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-4.451911</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>198.218205</td>\n",
       "      <td>135.211295</td>\n",
       "      <td>100.0</td>\n",
       "      <td>80.050400</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>1.781795</td>\n",
       "      <td>14.788705</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-30.050400</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.781795</td>\n",
       "      <td>4.929568</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-4.292914</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>198.663654</td>\n",
       "      <td>136.443687</td>\n",
       "      <td>100.0</td>\n",
       "      <td>78.977172</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>1.336346</td>\n",
       "      <td>13.556313</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-28.977172</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.336346</td>\n",
       "      <td>4.518771</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-4.139596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>198.997740</td>\n",
       "      <td>137.573380</td>\n",
       "      <td>100.0</td>\n",
       "      <td>77.942273</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>1.002260</td>\n",
       "      <td>12.426620</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-27.942273</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>1.002260</td>\n",
       "      <td>4.142207</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-3.991753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>199.248305</td>\n",
       "      <td>138.608931</td>\n",
       "      <td>100.0</td>\n",
       "      <td>76.944335</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>0.751695</td>\n",
       "      <td>11.391069</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-26.944335</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.751695</td>\n",
       "      <td>3.797023</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-3.849191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>199.436229</td>\n",
       "      <td>139.558187</td>\n",
       "      <td>100.0</td>\n",
       "      <td>75.982037</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>0.563771</td>\n",
       "      <td>10.441813</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-25.982037</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.563771</td>\n",
       "      <td>3.480604</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-3.711720</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>199.577172</td>\n",
       "      <td>140.428338</td>\n",
       "      <td>100.0</td>\n",
       "      <td>75.054107</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>0.422828</td>\n",
       "      <td>9.571662</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-25.054107</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.422828</td>\n",
       "      <td>3.190554</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-3.579158</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>199.682879</td>\n",
       "      <td>141.225977</td>\n",
       "      <td>100.0</td>\n",
       "      <td>74.159317</td>\n",
       "      <td>200.0</td>\n",
       "      <td>150.0</td>\n",
       "      <td>100.0</td>\n",
       "      <td>50.0</td>\n",
       "      <td>0.317121</td>\n",
       "      <td>8.774023</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-24.159317</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>0.317121</td>\n",
       "      <td>2.924674</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-3.451331</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Stock[1, First]  Stock[1, Second]  Stock[2, First]  Stock[2, Second]  \\\n",
       "0        100.000000        100.000000            100.0        100.000000   \n",
       "1        125.000000        104.166667            100.0         98.214286   \n",
       "2        143.750000        107.986111            100.0         96.492347   \n",
       "3        157.812500        111.487269            100.0         94.831906   \n",
       "4        168.359375        114.696663            100.0         93.230766   \n",
       "5        176.269531        117.638608            100.0         91.686811   \n",
       "6        182.202148        120.335390            100.0         90.197996   \n",
       "7        186.651611        122.807441            100.0         88.762353   \n",
       "8        189.988708        125.073488            100.0         87.377983   \n",
       "9        192.491531        127.150697            100.0         86.043055   \n",
       "10       194.368649        129.054806            100.0         84.755803   \n",
       "11       195.776486        130.800238            100.0         83.514525   \n",
       "12       196.832365        132.400219            100.0         82.317577   \n",
       "13       197.624274        133.866867            100.0         81.163378   \n",
       "14       198.218205        135.211295            100.0         80.050400   \n",
       "15       198.663654        136.443687            100.0         78.977172   \n",
       "16       198.997740        137.573380            100.0         77.942273   \n",
       "17       199.248305        138.608931            100.0         76.944335   \n",
       "18       199.436229        139.558187            100.0         75.982037   \n",
       "19       199.577172        140.428338            100.0         75.054107   \n",
       "20       199.682879        141.225977            100.0         74.159317   \n",
       "\n",
       "    Goal[1, First]  Goal[1, Second]  Goal[2, First]  Goal[2, Second]  \\\n",
       "0            200.0            150.0           100.0             50.0   \n",
       "1            200.0            150.0           100.0             50.0   \n",
       "2            200.0            150.0           100.0             50.0   \n",
       "3            200.0            150.0           100.0             50.0   \n",
       "4            200.0            150.0           100.0             50.0   \n",
       "5            200.0            150.0           100.0             50.0   \n",
       "6            200.0            150.0           100.0             50.0   \n",
       "7            200.0            150.0           100.0             50.0   \n",
       "8            200.0            150.0           100.0             50.0   \n",
       "9            200.0            150.0           100.0             50.0   \n",
       "10           200.0            150.0           100.0             50.0   \n",
       "11           200.0            150.0           100.0             50.0   \n",
       "12           200.0            150.0           100.0             50.0   \n",
       "13           200.0            150.0           100.0             50.0   \n",
       "14           200.0            150.0           100.0             50.0   \n",
       "15           200.0            150.0           100.0             50.0   \n",
       "16           200.0            150.0           100.0             50.0   \n",
       "17           200.0            150.0           100.0             50.0   \n",
       "18           200.0            150.0           100.0             50.0   \n",
       "19           200.0            150.0           100.0             50.0   \n",
       "20           200.0            150.0           100.0             50.0   \n",
       "\n",
       "    Gap[1, First]  Gap[1, Second]  Gap[2, First]  Gap[2, Second]  \\\n",
       "0      100.000000       50.000000            0.0      -50.000000   \n",
       "1       75.000000       45.833333            0.0      -48.214286   \n",
       "2       56.250000       42.013889            0.0      -46.492347   \n",
       "3       42.187500       38.512731            0.0      -44.831906   \n",
       "4       31.640625       35.303337            0.0      -43.230766   \n",
       "5       23.730469       32.361392            0.0      -41.686811   \n",
       "6       17.797852       29.664610            0.0      -40.197996   \n",
       "7       13.348389       27.192559            0.0      -38.762353   \n",
       "8       10.011292       24.926512            0.0      -37.377983   \n",
       "9        7.508469       22.849303            0.0      -36.043055   \n",
       "10       5.631351       20.945194            0.0      -34.755803   \n",
       "11       4.223514       19.199762            0.0      -33.514525   \n",
       "12       3.167635       17.599781            0.0      -32.317577   \n",
       "13       2.375726       16.133133            0.0      -31.163378   \n",
       "14       1.781795       14.788705            0.0      -30.050400   \n",
       "15       1.336346       13.556313            0.0      -28.977172   \n",
       "16       1.002260       12.426620            0.0      -27.942273   \n",
       "17       0.751695       11.391069            0.0      -26.944335   \n",
       "18       0.563771       10.441813            0.0      -25.982037   \n",
       "19       0.422828        9.571662            0.0      -25.054107   \n",
       "20       0.317121        8.774023            0.0      -24.159317   \n",
       "\n",
       "    AT[1, First]  AT[1, Second]  AT[2, First]  AT[2, Second]  Flow[1, First]  \\\n",
       "0            1.0            3.0           5.0            7.0      100.000000   \n",
       "1            1.0            3.0           5.0            7.0       75.000000   \n",
       "2            1.0            3.0           5.0            7.0       56.250000   \n",
       "3            1.0            3.0           5.0            7.0       42.187500   \n",
       "4            1.0            3.0           5.0            7.0       31.640625   \n",
       "5            1.0            3.0           5.0            7.0       23.730469   \n",
       "6            1.0            3.0           5.0            7.0       17.797852   \n",
       "7            1.0            3.0           5.0            7.0       13.348389   \n",
       "8            1.0            3.0           5.0            7.0       10.011292   \n",
       "9            1.0            3.0           5.0            7.0        7.508469   \n",
       "10           1.0            3.0           5.0            7.0        5.631351   \n",
       "11           1.0            3.0           5.0            7.0        4.223514   \n",
       "12           1.0            3.0           5.0            7.0        3.167635   \n",
       "13           1.0            3.0           5.0            7.0        2.375726   \n",
       "14           1.0            3.0           5.0            7.0        1.781795   \n",
       "15           1.0            3.0           5.0            7.0        1.336346   \n",
       "16           1.0            3.0           5.0            7.0        1.002260   \n",
       "17           1.0            3.0           5.0            7.0        0.751695   \n",
       "18           1.0            3.0           5.0            7.0        0.563771   \n",
       "19           1.0            3.0           5.0            7.0        0.422828   \n",
       "20           1.0            3.0           5.0            7.0        0.317121   \n",
       "\n",
       "    Flow[1, Second]  Flow[2, First]  Flow[2, Second]  \n",
       "0         16.666667             0.0        -7.142857  \n",
       "1         15.277778             0.0        -6.887755  \n",
       "2         14.004630             0.0        -6.641764  \n",
       "3         12.837577             0.0        -6.404558  \n",
       "4         11.767779             0.0        -6.175824  \n",
       "5         10.787131             0.0        -5.955259  \n",
       "6          9.888203             0.0        -5.742571  \n",
       "7          9.064186             0.0        -5.537479  \n",
       "8          8.308837             0.0        -5.339712  \n",
       "9          7.616434             0.0        -5.149008  \n",
       "10         6.981731             0.0        -4.965115  \n",
       "11         6.399921             0.0        -4.787789  \n",
       "12         5.866594             0.0        -4.616797  \n",
       "13         5.377711             0.0        -4.451911  \n",
       "14         4.929568             0.0        -4.292914  \n",
       "15         4.518771             0.0        -4.139596  \n",
       "16         4.142207             0.0        -3.991753  \n",
       "17         3.797023             0.0        -3.849191  \n",
       "18         3.480604             0.0        -3.711720  \n",
       "19         3.190554             0.0        -3.579158  \n",
       "20         2.924674             0.0        -3.451331  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result = model.export_simulation_result(format='df')\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result[[\"Stock[1, First]\", \"Stock[1, Second]\", \"Stock[2, First]\", \"Stock[2, Second]\"]].plot()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "asdm",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
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