{"cells": [{"cell_type": "markdown", "metadata": {}, "source": ["# 2A.ml - D\u00e9terminer la vitesse moyenne des v\u00e9lib\n", "\n", "Ce notebook explicite une solution pour calculer la vitesse moyenne des velib sachant qu'on ne conna\u00eet que l'\u00e9tat des stations \u00e0 intervalle r\u00e9guliers."]}, {"cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": ["%matplotlib inline"]}, {"cell_type": "markdown", "metadata": {}, "source": ["M\u00eame si je propose quelques jeux de donn\u00e9es, il est possible de cr\u00e9er le sien en s'inspirant du code suivant : [R\u00e9cup\u00e9rer les donn\u00e9es Velib et les visualiser](http://www.xavierdupre.fr/app/manydataapi/helpsphinx/notebooks/api_velib_jcdecaux.html#apivelibjcdecauxrst). Le premier lien d\u00e9crit les donn\u00e9es plus en d\u00e9tail : elles sont constitu\u00e9es des d\u00e9comptes des v\u00e9los et places disponibles pour chaque station d'une m\u00eame ville et pour chaque minute. La m\u00e9thode propos\u00e9e ici est celle des **appariements** d\u00e9crites par le premier lien. L'algorithme peut \u00eatre d\u00e9crit en deux \u00e9tapes :\n", "\n", "1. Construction d'une base d'\u00e9v\u00e9nements : v\u00e9los repos\u00e9s et retir\u00e9s.\n", "2. Appariement des v\u00e9los retir\u00e9s avec les v\u00e9los repos\u00e9s.\n", "\n", "La premi\u00e8re partie ne pose pas de difficult\u00e9 particuli\u00e8re. On peut juste penser \u00e0 retirer les premiers v\u00e9los r\u00e9pos\u00e9s qui ne pourront pas \u00eatre appari\u00e9s de toutes fa\u00e7ons. On fait de m\u00eame pour les derniers v\u00e9los retir\u00e9s.\n", "\n", "La seconde partie est constitut\u00e9e de deux \u00e9l\u00e9ments :\n", "\n", "- un co\u00fbt d'appariement\n", "- la minimisation de l'appariement\n", "\n", "Pour le co\u00fbt, on peut y mettre \u00e0 peu pr\u00e8s toutes les contraintes imaginables (vitesse trop grande, dur\u00e9e trop grande ou trop petite). Pour la seconde, le code optimise de fa\u00e7on tr\u00e8s na\u00efve : on part d'un appariement al\u00e9atoire, on tire deux appariements $a_1 \\rightarrow b_1$ et $a_2 \\rightarrow b_2$. On inverse : $a_1 \\rightarrow b_2$ et $a_2 \\rightarrow b_1$. Si l'appariement est moins co\u00fbteux, on garde. Le code complet est disponible dans le module *velib_trajectories*."]}, {"cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [{"data": {"text/html": ["
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addressavailable_bike_standsavailable_bikesbankingbike_standsbonuscollect_datecontract_namefilelast_updatelatlngnamenumberstatus
0Place Jacobins2801002014-05-22 02:40:03.954829Besanconvelib_data.2014-05-22_02-40-02.681782.txt2014-05-22 00:09:2647.2341426.03346514 - JACOBINS14OPEN
1Rue Charles NODIER Sortie du tunnel, direction...11101202014-05-22 02:40:03.954829Besanconvelib_data.2014-05-22_02-40-02.681782.txt2014-05-22 02:38:4847.2320986.03513623 - RIVOTTE23OPEN
2Avenue de la Gare d'Eau face Conseil G\u00e9n\u00e9ral4601002014-05-22 02:40:03.954829Besanconvelib_data.2014-05-22_02-40-02.681782.txt2014-05-21 13:24:0247.2321406.02284316 - GARE D'EAU16OPEN
318 rue Xavier Marmier6601202014-05-22 02:40:03.954829Besanconvelib_data.2014-05-22_02-40-02.681782.txt2014-05-22 00:00:4447.2412566.00669030 - XAVIER MARMIER30OPEN
4Rue Battant (au niveau du Square Bouchot)1901002014-05-22 02:40:03.954829Besanconvelib_data.2014-05-22_02-40-02.681782.txt2014-05-22 02:31:0147.2429906.02207002 - SQUARE BOUCHOT2OPEN
\n", "
"], "text/plain": [" address available_bike_stands \\\n", "0 Place Jacobins 2 \n", "1 Rue Charles NODIER Sortie du tunnel, direction... 1 \n", "2 Avenue de la Gare d'Eau face Conseil G\u00e9n\u00e9ral 4 \n", "3 18 rue Xavier Marmier 6 \n", "4 Rue Battant (au niveau du Square Bouchot) 1 \n", "\n", " available_bikes banking bike_stands bonus collect_date \\\n", "0 8 0 10 0 2014-05-22 02:40:03.954829 \n", "1 11 0 12 0 2014-05-22 02:40:03.954829 \n", "2 6 0 10 0 2014-05-22 02:40:03.954829 \n", "3 6 0 12 0 2014-05-22 02:40:03.954829 \n", "4 9 0 10 0 2014-05-22 02:40:03.954829 \n", "\n", " contract_name file \\\n", "0 Besancon velib_data.2014-05-22_02-40-02.681782.txt \n", "1 Besancon velib_data.2014-05-22_02-40-02.681782.txt \n", "2 Besancon velib_data.2014-05-22_02-40-02.681782.txt \n", "3 Besancon velib_data.2014-05-22_02-40-02.681782.txt \n", "4 Besancon velib_data.2014-05-22_02-40-02.681782.txt \n", "\n", " last_update lat lng name number \\\n", "0 2014-05-22 00:09:26 47.234142 6.033465 14 - JACOBINS 14 \n", "1 2014-05-22 02:38:48 47.232098 6.035136 23 - RIVOTTE 23 \n", "2 2014-05-21 13:24:02 47.232140 6.022843 16 - GARE D'EAU 16 \n", "3 2014-05-22 00:00:44 47.241256 6.006690 30 - XAVIER MARMIER 30 \n", "4 2014-05-22 02:31:01 47.242990 6.022070 02 - SQUARE BOUCHOT 2 \n", "\n", " status \n", "0 OPEN \n", "1 OPEN \n", "2 OPEN \n", "3 OPEN \n", "4 OPEN "]}, "execution_count": 3, "metadata": {}, "output_type": "execute_result"}], "source": ["from pyquickhelper.loghelper import str2datetime\n", "from ensae_projects.datainc import besancon_df\n", "import pandas\n", "\n", "jeu = besancon_df()\n", "df = pandas.read_csv(jeu, sep=\"\\t\", encoding=\"utf8\")\n", "df [\"collect_date\"] = df.apply( lambda r: str2datetime(r[\"collect_date\"]),axis=1)\n", "df.head()"]}, {"cell_type": "markdown", "metadata": {}, "source": ["**On v\u00e9rifie les donn\u00e9es pour la premi\u00e8re date :**"]}, {"cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [{"data": 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\n", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["from manydataapi.velib import DataCollectJCDecaux as DataVelibCollect\n", "dt = df[\"file\"][0]\n", "subset = df [ df[\"file\"] == dt ]\n", "fig,ax,plt = DataVelibCollect.draw(subset, figsize=(16,6))\n", "ax.set_title(\"Besan\u00e7on - {0} - {1} stations\".format(dt.replace(\"besancon.\",\"\") \\\n", " .replace(\".txt\",\"\").replace(\"_\", \" \"),\n", " len(subset)));"]}, {"cell_type": "markdown", "metadata": {}, "source": ["**On calcule les \u00e9v\u00e9nements (1 v\u00e9lo apparu, 1 v\u00e9lo disparu) :**"]}, {"cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["nb events 589\n"]}, {"data": {"text/plain": ["[('velib_data.2014-05-22_04-17-04.635259.txt',\n", " Timestamp('2014-05-22 04:17:04.857260'),\n", " '24 - MEDIATHEQUE',\n", " 47.24010992877723,\n", " 6.027358757731063,\n", " 1),\n", " ('velib_data.2014-05-22_05-29-04.949889.txt',\n", " Timestamp('2014-05-22 05:29:05.262905'),\n", " '27 - MAIRIE',\n", " 47.23687885054159,\n", " 6.0222303583977155,\n", " 1)]"]}, "execution_count": 5, "metadata": {}, "output_type": "execute_result"}], "source": ["import ensae_projects.challenge.velib_trajectories as velib\n", "events = list(sorted(velib.enumerate_events(df)))\n", "print(\"nb events\",len(events))\n", "events [:2]"]}, {"cell_type": "markdown", "metadata": {}, "source": ["**On calcule le meilleur appariement (\u00e7a prend un peu de temps).** On ne prend que 200 it\u00e9rations mais il en faudrait plus."]}, {"cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["{'max_speed': 50, 'high_speed': 25, 'low_speed': 5, 'high_time': 0.75, 'low_time': 0.1}\n", "iteration 0 : app- 144 / 301 min 21743314023.08393 vitesse 5.185466030632195 nbchange 0\n", "iteration 10 : app- 32 / 301 min 4217360521.9227724 vitesse 4.644576073119561 nbchange 272\n", "iteration 20 : app- 26 / 301 min 3217656643.672325 vitesse 5.27657037459076 nbchange 104\n", "iteration 30 : app- 19 / 301 min 2250635665.002002 vitesse 5.872166710865633 nbchange 88\n", "iteration 40 : app- 16 / 301 min 1848259504.5709043 vitesse 6.277284851644164 nbchange 56\n", "vitesse moyenne 6.407462005952014\n"]}], "source": ["params = velib.ParemetreCoutTrajet()\n", "print(params)\n", "mindist, moyenne, appariement, positif, negatif = velib.appariement(events, iter=50, params=params)\n", "print(\"vitesse moyenne\", moyenne)"]}, {"cell_type": "markdown", "metadata": {}, "source": ["La vitesse \u00e9volue encore et il faudrait faire tourner l'algorithme plus longtemps et le recoder de fa\u00e7on plus efficace. Voyons d\u00e9j\u00e0 ce que cela donne en terme de d\u00e9placement."]}, {"cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [{"data": {"image/png": 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\n", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["import matplotlib.pyplot as plt\n", "app = [(positif[a], negatif[b] ) for a,b in appariement]\n", "plt.figure(figsize=(16,6))\n", "for deb,fin in app :\n", " x = [deb[3], fin[3]]\n", " y = [deb[4], fin[4]]\n", " if x[0] > 0 and y[0] and x[1] > 0 and y[1] > 0 :\n", " # on enl\u00e8ve les trajets aberrants\n", " plt.plot(x,y,color=\"b\")"]}, {"cell_type": "markdown", "metadata": {}, "source": ["Difficile de dire sur ce simple dessin si cela est sens\u00e9. Il faudrait faire tourner l'algorithme plus longtemps et le recoder de fa\u00e7on plus efficace."]}, {"cell_type": "raw", "metadata": {}, "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": "3.7.0"}}, "nbformat": 4, "nbformat_minor": 2}