diff --git "a/facility_location/env/tests/render.ipynb" "b/facility_location/env/tests/render.ipynb" deleted file mode 100644--- "a/facility_location/env/tests/render.ipynb" +++ /dev/null @@ -1,182 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "b9eb8d89", - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "from shapely.geometry import MultiPoint\n", - "from geopandas import GeoDataFrame\n", - "from sklearn.metrics import pairwise_distances" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "73d80da3", - "metadata": {}, - "outputs": [], - "source": [ - "rng = np.random.default_rng()\n", - "n = 20\n", - "p= 4\n", - "points = rng.uniform(size=(n, 2))\n", - "demands = rng.random(size=(n,))" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "b501ce44", - "metadata": {}, - "outputs": [], - "source": [ - "points_geom = MultiPoint(points)\n", - "gdf = GeoDataFrame({\n", - " 'geometry': points_geom.geoms,\n", - " 'demand': demands,\n", - "})\n", - "distance_matrix = pairwise_distances(points)\n", - "cost_matrix = distance_matrix * demands[:, None]" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "3f7019d9", - "metadata": {}, - "outputs": [], - "source": [ - "solution = np.zeros(n, dtype=bool)\n", - "p_0 = demands.argmax()\n", - "solution[p_0] = True\n", - "for _ in range(p - 1):\n", - " p_max_cost = cost_matrix[:, solution].min(axis=-1).argmax()\n", - " solution[p_max_cost] = True\n", - "obj_values = [10, 7, 8, 4, 5]" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "36671ac3", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "DPI = 300\n", - "cm = plt.get_cmap('tab10')\n", - "fig, axs = plt.subplots(1, 2, figsize=(12, 6), dpi=DPI)\n", - "facilities = np.arange(n)[solution]\n", - "node2facility = np.arange(n)[solution][cost_matrix[:, solution].argmin(axis=-1)]\n", - "gdf['facility'] = False\n", - "gdf.loc[facilities, 'facility'] = True\n", - "gdf['assignment'] = node2facility\n", - "for i, f in enumerate(facilities):\n", - " gdf.loc[gdf['assignment']==f].plot(ax=axs[0], \n", - " zorder=2, \n", - " alpha=0.7, \n", - " edgecolor=\"k\", \n", - " color=cm(i))\n", - " gdf.loc[[f]].plot(ax=axs[0], \n", - " marker='*', \n", - " markersize=300,\n", - " zorder=3,\n", - " alpha=0.7, \n", - " edgecolor=\"k\",\n", - " color=cm(i))\n", - "axs[0].set_title(\"Facility Location\", fontweight=\"bold\")\n", - "axs[1].plot(obj_values, marker='.', markersize=10, color='k')\n", - "axs[1].set_title(\"Objective Value\", fontweight=\"bold\")\n", - "axs[1].set_xticks(np.arange(len(obj_values)))\n", - "fig.tight_layout()\n", - "plt.show()\n", - "\n", - "import io\n", - "io_buf = io.BytesIO()\n", - "fig.savefig(io_buf, format='raw', dpi=DPI)\n", - "io_buf.seek(0)\n", - "img_arr = np.reshape(np.frombuffer(io_buf.getvalue(), dtype=np.uint8),\n", - " newshape=(int(fig.bbox.bounds[3]), int(fig.bbox.bounds[2]), -1))\n", - "io_buf.close()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "ba7f4304", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig1 = plt.figure(figsize=(12, 6))\n", - "plt.imshow(img_arr)\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "48f4c533", - "metadata": {}, - "outputs": [], - "source": [ - "plt.close()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "10420eb0", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "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": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -}