{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "# Estimation de la latence et de la capacité d’une connexion à partir de mesures asymétriques (sujet 4)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "Pour notre analyse sur les caractéristiques d'une connexion nous utiliserons un modèle simplifié qui néglige certains détails.\n", "Ce modèle permet de mettre en relation le **temps d'envoi $T$** (en secondes) d'un message de **taille $S$** (en octets) par une connexion de **latence $L$** (en secondes) et de **capacité $C$** (en octets/seconde) par la formule suivante : $$T(S) = L + S/C$$" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "Nous allons donc tenter de déterminer la latence et la capacité d'une connection à partir de deux jeux de données brutes, qui ont été obtenus pour deux connexions différentes avec l'outil `ping`." ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Analyse des données" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dépendances" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import pandas as pd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Connexion courte à l'intérieur d'un campus" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "raw_data_1 = pd.read_csv(\"http://mescal.imag.fr/membres/arnaud.legrand/teaching/2014/RICM4_EP_ping/liglab2.log.gz\",sep=' ',header=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les données brutes sont stockées dans une variable `raw_data_1`" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def convert_date(raw_date):\n", " return float(raw_date[1:-1])-1421761682\n", "\n", "def convert_size(raw_size):\n", " return int(raw_size)\n", "\n", "def convert_time(raw_time):\n", " if(pd.isna(raw_time)):\n", " return None\n", " return float(raw_time[5:])\n", "\n", "def format_data(raw_data):\n", " output_data = {}\n", " output_data[\"date\"] = [convert_date(d) for d in raw_data[0]]\n", " output_data[\"size\"] = [convert_size(s) for s in raw_data[1]]\n", " output_data[\"time\"] = [convert_time(t) for t in raw_data[8]]\n", " return output_data\n", "\n", "data_1 = format_data(raw_data_1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Les données brutes sont formatée pour obtenir la date, la taille et le temps d'envoi de chaque mesure." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def display_graph(start=0,end=-1):\n", " plt.plot(data_1[\"date\"][start:end],data_1[\"time\"][start:end])\n", " plt.xlabel(\"Date (sec)\")\n", " plt.ylabel(\"Temps d'envoi (sec)\")\n", " plt.title(\"Évolution du temps de transmission au cours du temps\")\n", " plt.show()\n", "\n", "display_graph()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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