markovianModel.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Markovian Model for steady-state throughput CUBIC and Hybla\n",
    "This notebook is based on the model presented in the paper by Bao Wong and Leung. First we implement the model for CUBIC as presented in the paper (we call it the timeBased model, since the loss model is that the inter-packet loss time is assumed eponential). Then we adapt the model to work with Hybla.\n",
    "\n",
    "Note: Along the way, we noticed that the model is not very realistic as it assumes a time based error model. However, errors are dependent on the number of packets sent. This is why we propose a new model (that we call the packetBased model). It can be found in the packetBasedMarkovianModel.ipynb file.\n",
    "\n",
    "## Implementing the model for CUBIC"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we start with an introductory example showing the transition probabilities of different states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Intel MKL WARNING: Support of Intel(R) Streaming SIMD Extensions 4.2 (Intel(R) SSE4.2) enabled only processors has been deprecated. Intel oneAPI Math Kernel Library 2025.0 will require Intel(R) Advanced Vector Extensions (Intel(R) AVX) instructions.\n",
      "Intel MKL WARNING: Support of Intel(R) Streaming SIMD Extensions 4.2 (Intel(R) SSE4.2) enabled only processors has been deprecated. Intel oneAPI Math Kernel Library 2025.0 will require Intel(R) Advanced Vector Extensions (Intel(R) AVX) instructions.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jeanmegret/opt/anaconda3/envs/qpepcca/lib/python3.11/site-packages/scipy/sparse/linalg/_eigen/arpack/arpack.py:939: LinAlgWarning: Diagonal number 100 is exactly zero. Singular matrix.\n",
      "  self.M_lu = lu_factor(M)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Could not compute eigenvalues. Setting pi to uniform. W= 1.25, C= 50, RTT=0.025, packet_err= 0.5\n",
      "Average throughput is 0.5104681498063091\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ccaModels import CCA_MarkovChain_CUBIC_time\n",
    "\n",
    "#plt.rcParams['text.usetex'] = True\n",
    "#plt.rcParams.update(plt.rcParamsDefault)\n",
    "\n",
    "wired = CCA_MarkovChain_CUBIC_time(err_rate=0.5,beta=0.5,alpha=1,N=100,C =50)\n",
    "wired.avg_throughput()\n",
    "print(f\"Average throughput is {wired.ssThroughput}\")\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(10,5))\n",
    "axs[0].plot(np.arange(wired.N),wired.P[50,:],label = \"$a_{50}$\")\n",
    "axs[0].plot(np.arange(wired.N),wired.P[25,:],label = \"$a_{25}$\")\n",
    "axs[0].plot(np.arange(wired.N),wired.P[75,:],label = \"$a_{75}$\")\n",
    "axs[0].set_title(r\"Transition probabilities different states\")\n",
    "axs[0].set_ylabel(r\"$P_{50,x}$\")\n",
    "axs[0].set_xlabel(r\"$a_x$\")\n",
    "axs[0].legend()\n",
    "axs[1].plot(np.arange(wired.N),wired.pi)\n",
    "axs[1].set_title(r\"Stationnary distribution\")\n",
    "axs[1].set_xlabel(r\"State $a_i$ (Corresponding to throughput $i\\frac{W}{N}$)\")\n",
    "axs[1].set_ylabel(r'Probability to be in this state')\n",
    "fig.suptitle(\"CUBIC raw model\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we try to reproduce the different figures form the original paper."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Could not compute eigenvalues. Setting pi to uniform. W= 0.1, C= 10, RTT=0.01, packet_err= 0.06951927961775606\n",
      "Could not compute eigenvalues. Setting pi to uniform. W= 0.1, C= 10, RTT=0.01, packet_err= 0.08858667904100823\n",
      "Could not compute eigenvalues. Setting pi to uniform. W= 0.1, C= 10, RTT=0.01, packet_err= 0.23357214690901212\n",
      "Could not compute eigenvalues. Setting pi to uniform. W= 0.1, C= 10, RTT=0.01, packet_err= 0.37926901907322497\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Reproducing Fig. 5 (changing the RTT)\n",
    "link = CCA_MarkovChain_CUBIC_time(beta = 0.5, alpha=1,N=50,C=10)\n",
    "loss_rates = np.logspace(-2,0,20)\n",
    "rtts = [0.1,0.01,0.001]\n",
    "throughputs = np.zeros((len(loss_rates),len(rtts)))\n",
    "for j,rtt in enumerate(rtts):\n",
    "    link.RTT_real = rtt\n",
    "    link.update()\n",
    "    for i,l in enumerate(loss_rates):\n",
    "        link.err_rate = l\n",
    "        link.avg_throughput()\n",
    "        throughputs[i,j] = link.ssThroughput\n",
    "\n",
    "# Now plot the throughput as a function of the loss rate with series representing the RTT\n",
    "fig, ax = plt.subplots()\n",
    "for j,rtt in enumerate(rtts):\n",
    "    ax.plot(loss_rates,throughputs[:,j],label = f\"W = {1000*rtt}Mb\")\n",
    "ax.set_xscale('log')\n",
    "ax.set_xlabel(\"Loss rate\")\n",
    "ax.set_ylabel(\"Normalised throughput\")\n",
    "ax.legend()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Normalised throughput')"
      ]
     },
     "execution_count": 3,
     "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": [
    "# Fig 5. from paper (Changing C, the bandwidth)\n",
    "err_rates = np.logspace(-2,0,20)\n",
    "throughputs = np.zeros([3,len(err_rates)])\n",
    "for k,C in enumerate([10,100,1000]):\n",
    "    for i, l in enumerate(err_rates):\n",
    "        wired = CCA_MarkovChain_CUBIC_time(err_rate=l,beta=0.5,alpha=1,N=100,C = C ,RTT_real=0.1)\n",
    "        throughputs[k,i] = wired.avg_throughput()\n",
    "\n",
    "plt.plot(err_rates,throughputs[0,:], label = \"W = 1Mb\")\n",
    "plt.plot(err_rates,throughputs[1,:], label = \"W = 10Mb\")\n",
    "plt.plot(err_rates,throughputs[2,:], label = \"W = 100Mb\")\n",
    "plt.semilogx()\n",
    "plt.legend()\n",
    "plt.ylim([0,1])\n",
    "plt.grid()\n",
    "plt.title(r\"Average normalized throuputs under different $\\lambda$\")\n",
    "plt.xlabel(r\"Loss rate $[\\lambda] = s^{-1}$\")\n",
    "plt.ylabel(r'Normalised throughput')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Normalised throughput')"
      ]
     },
     "execution_count": 7,
     "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": [
    "# Fig. 6\n",
    "alphas = np.logspace(-1,1,30)\n",
    "throughputs = np.zeros([4,len(alphas)])\n",
    "for k,lam in enumerate([0.01,0.1,0.5,1]):\n",
    "    for i, alpha in enumerate(alphas):\n",
    "        wired = CCA_MarkovChain_CUBIC_time(err_rate=lam,beta=0.5,alpha=alpha,N=100,C=100,RTT_real=0.1)\n",
    "        throughputs[k,i] = wired.avg_throughput()\n",
    "\n",
    "plt.plot(alphas,throughputs[0,:], label = r\"$\\lambda = 0.01 s^{-1}$\")\n",
    "plt.plot(alphas,throughputs[1,:], label = r\"$\\lambda = 0.1 s^{-1}$\")\n",
    "plt.plot(alphas,throughputs[2,:], label = r\"$\\lambda = 0.5 s^{-1}$\")\n",
    "plt.plot(alphas,throughputs[3,:], label = r\"$\\lambda = 1 s^{-1}$\")\n",
    "plt.semilogx()\n",
    "plt.legend()\n",
    "plt.ylim([0,1])\n",
    "plt.grid()\n",
    "plt.title(r\"Average normalized throuputs under different $\\lambda$ and window growth factor $\\alpha$\")\n",
    "plt.xlabel(r\"Window growth factor $[\\alpha] =$ Mb/s\")\n",
    "plt.ylabel(r'Normalised throughput')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Normalised throughput')"
      ]
     },
     "execution_count": 11,
     "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": [
    "# same as before but with beta instead of alpha\n",
    "betas = np.linspace(0.5,0.9,30)\n",
    "throughputs = np.zeros([4,len(betas)])\n",
    "for k,lam in enumerate([0.01,0.1,0.5,1]):\n",
    "    for i, beta in enumerate(betas):\n",
    "        wired = CCA_MarkovChain_CUBIC_time(err_rate=lam,beta=beta,alpha=1,N=100,C=100,RTT_real=0.1)\n",
    "        throughputs[k,i] = wired.avg_throughput()\n",
    "\n",
    "plt.plot(betas,throughputs[0,:], label = r\"$\\lambda = 0.01 s^{-1}$\")\n",
    "plt.plot(betas,throughputs[1,:], label = r\"$\\lambda = 0.1 s^{-1}$\")\n",
    "plt.plot(betas,throughputs[2,:], label = r\"$\\lambda = 0.5 s^{-1}$\")\n",
    "plt.plot(betas,throughputs[3,:], label = r\"$\\lambda = 1 s^{-1}$\")\n",
    "plt.legend()\n",
    "plt.ylim([0,1])\n",
    "plt.grid()\n",
    "plt.title(r\"Average normalized throuputs under different $\\lambda$ and window growth factor $\\alpha$\")\n",
    "plt.xlabel(r\"Window growth factor $[\\alpha] =$ Mb/s\")\n",
    "plt.ylabel(r'Normalised throughput')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulating the markov process\n",
    "\n",
    "Instead of computing the solution, we simulate the markov process and take the mean value from it. Finally we compare with the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
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     "output_type": "stream",
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      "0 10.50347697441022\n",
      "260 64.1532478254002\n",
      "0 3.4802537239051823\n",
      "1805 122.0051097557484\n",
      "1590 118.0181890254699\n",
      "1908 125.3147195577595\n",
      "3 16.559830609979585\n",
      "661 87.61206178879848\n",
      "1 13.190683696543958\n",
      "35540 329.1364142420509\n",
      "38 35.026688654211895\n",
      "139 52.85177971160026\n",
      "1780 122.4799100645898\n",
      "718 90.8303440138862\n",
      "449 77.89836519960785\n",
      "17 27.423281690784673\n",
      "Average of the congestion window size in packets 38.1654\n",
      "Average throughput in packets per second 381.65399999999994\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_steps = 10000\n",
    "l = 50 # average time between two events.\n",
    "beta = 0.7\n",
    "RTT = 0.1\n",
    "C = 1000\n",
    "N = 100\n",
    "alpha = 4\n",
    "W = C/RTT\n",
    "\n",
    "segment = CCA_MarkovChain_CUBIC_time(err_rate=l,beta=beta,alpha=alpha,N=N,C=C,RTT_real=RTT)\n",
    "states = np.zeros(time_steps)\n",
    "initial_state = 2\n",
    "\n",
    "time_until_loss = np.random.exponential(l,time_steps)\n",
    "\n",
    "def wn_cub(x,t):\n",
    "    return alpha*(t-np.cbrt(x*(1-beta)/alpha))**3+x\n",
    "\n",
    "for t in range(time_steps):\n",
    "    if t == 0:\n",
    "        states[t] = initial_state\n",
    "        continue\n",
    "    candidate_next_value = wn_cub(segment.a[int(states[t-1])],time_until_loss[t])\n",
    "    print(int(candidate_next_value/W), time_until_loss[t])\n",
    "    if candidate_next_value/W>N:\n",
    "        # Congestion\n",
    "        states[t] = int(N*beta)\n",
    "    else:\n",
    "        states[t] = int(candidate_next_value/W)\n",
    "\n",
    "# plt.plot(states)\n",
    "# plt.title('CUBIC Markov Chain simulation')\n",
    "# plt.xlabel('Time (rtt unit)')\n",
    "# plt.ylabel('Congestion window size (packets)')\n",
    "# plt.ylim(0,max(states))\n",
    "# # for i in segment.a:\n",
    "# #     plt.axhline(i)\n",
    "# plt.show()\n",
    "print(\"Average of the congestion window size in packets \"+ str(np.average(states)))\n",
    "print(\"Average throughput in packets per second \"+ str(np.average(states)/RTT ))\n",
    "plt.plot(np.histogram(states, bins=np.arange(N), density=True)[0])\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adapting the model to Hybla"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we adapt the model to Hybla, the main difference is in the growth time (since it is another growth function)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average normalised throughput is 0.040000520770802794\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ccaModels import CCA_MarkovChain_Hybla_time\n",
    "\n",
    "wired = CCA_MarkovChain_Hybla_time(err_rate=20,beta=0.5,N=1000,C =1000, RTT0=0.05, RTT_real=0.5)\n",
    "wired.avg_throughput()\n",
    "print(f\"Average normalised throughput is {wired.ssThroughput}\")\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(10,5))\n",
    "axs[0].plot(np.arange(wired.N),wired.P[50,:],label = \"$a_{50}$\")\n",
    "axs[0].plot(np.arange(wired.N),wired.P[25,:],label = \"$a_{25}$\")\n",
    "axs[0].plot(np.arange(wired.N),wired.P[75,:],label = \"$a_{75}$\")\n",
    "axs[0].set_title(r\"Transition probabilities different states\")\n",
    "axs[0].set_ylabel(r\"$P_{50,x}$\")\n",
    "axs[0].set_xlabel(r\"$a_x$\")\n",
    "axs[0].legend()\n",
    "axs[1].plot(np.arange(wired.N),wired.pi)\n",
    "axs[1].set_title(r\"Stationnary distribution\")\n",
    "axs[1].set_xlabel(r\"State $a_i$ = $(i+0.5)\\frac{W}{N}$\")\n",
    "axs[1].set_ylabel(r'Probability to be in this state')\n",
    "fig.suptitle(\"Hybla time model\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "err_rates = np.logspace(-2,1,20)\n",
    "throughputs = np.zeros([3,len(err_rates)])\n",
    "for k,RTT in enumerate([0.5,0.1,0.05]):\n",
    "    for i, l in enumerate(err_rates):\n",
    "        wired = CCA_MarkovChain_Hybla_time(err_rate=1,beta=0.5,N=100,C = 1000000 ,RTT_real=RTT, RTT0=0.05)\n",
    "        throughputs[k,i] = wired.avg_throughput()\n",
    "\n",
    "plt.plot(err_rates,throughputs[0,:], label = \"W = 1Mb\")\n",
    "plt.plot(err_rates,throughputs[1,:], label = \"W = 10Mb\")\n",
    "plt.plot(err_rates,throughputs[2,:], label = \"W = 100Mb\")\n",
    "plt.semilogx()\n",
    "plt.legend()\n",
    "plt.grid()\n",
    "plt.title(r\"Hybla average normalized throuputs under different $\\lambda$\")\n",
    "plt.xlabel(r\"Loss rate $[\\lambda] = s^{-1}$\")\n",
    "plt.ylabel(r'Normalised throughput')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison\n",
    "Finally, we compare both congestion control algorithms by varying parameters. Although we talk about throughput, what we really compute is the average congestion window size under "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from ccaModels import CCA_MarkovChain_CUBIC_time, CCA_MarkovChain_Hybla_time\n",
    "\n",
    "plt.rcParams['text.usetex'] = True\n",
    "\n",
    "err_rates = np.logspace(-2,2,30)\n",
    "throughputs_hybla_bandwidth = np.zeros([3,len(err_rates)])\n",
    "throughputs_cubic_bandwidth = np.zeros([3,len(err_rates)])\n",
    "throughputs_hybla_rtt = np.zeros([3,len(err_rates)])\n",
    "throughputs_cubic_rtt = np.zeros([3,len(err_rates)])\n",
    "\n",
    "for k,C in enumerate([10000,100000,1000000]):\n",
    "    for i, l in enumerate(err_rates):\n",
    "        wireless = CCA_MarkovChain_Hybla_time(err_rate=l,beta=0.5,alpha=1,N=100, C = C, RTT_real=0.1, RTT0=0.025)\n",
    "        throughputs_hybla_bandwidth[k,i] = wireless.avg_throughput()\n",
    "        wired = CCA_MarkovChain_CUBIC_time(err_rate=l,beta=0.5,alpha=1,N=100,C = C, RTT_real = 0.1)\n",
    "        throughputs_cubic_bandwidth[k,i] = wired.avg_throughput()\n",
    "\n",
    "for k,R in enumerate([0.025,0.1,0.6]):\n",
    "    for i,l in enumerate(err_rates):\n",
    "        wireless = CCA_MarkovChain_Hybla_time(err_rate=l,beta=0.5,alpha=1,N=100, C = 100000, RTT_real=R, RTT0=0.025)\n",
    "        throughputs_hybla_rtt[k,i] = wireless.avg_throughput()\n",
    "        wired = CCA_MarkovChain_CUBIC_time(err_rate=l,beta=0.5,alpha=1,N=100,C = 100000, RTT_real = R)\n",
    "        throughputs_cubic_rtt[k,i] = wired.avg_throughput()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x900 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(2, 2,figsize=(15,9),sharex=True, sharey=True)\n",
    "fig.suptitle(\"Average normalized throughputs under different $\\lambda$\")\n",
    "\n",
    "axs[0, 0].plot(err_rates, throughputs_hybla_bandwidth[0,:],label = \"W = 1Mb\")\n",
    "axs[0,0].plot(err_rates,throughputs_hybla_bandwidth[1,:], label = \"W = 10Mb\")\n",
    "axs[0,0].plot(err_rates,throughputs_hybla_bandwidth[2,:], label = \"W = 100Mb\")\n",
    "axs[0,0].semilogx()\n",
    "axs[0,0].legend()\n",
    "axs[0,0].grid()\n",
    "axs[0,0].set_title(r\"Hybla\")\n",
    "\n",
    "axs[0,1].plot(err_rates, throughputs_cubic_bandwidth[0,:],label = \"W = 1Mb\")\n",
    "axs[0,1].plot(err_rates,throughputs_cubic_bandwidth[1,:], label = \"W = 10Mb\")\n",
    "axs[0,1].plot(err_rates,throughputs_cubic_bandwidth[2,:], label = \"W = 100Mb\")\n",
    "axs[0,1].semilogx()\n",
    "axs[0,1].legend()\n",
    "axs[0,1].grid()\n",
    "axs[0,1].set_title(r\"CUBIC\")\n",
    "\n",
    "axs[1,0].plot(err_rates, throughputs_hybla_rtt[0,:],label = \"RTT = 0.025s\")\n",
    "axs[1,0].plot(err_rates,throughputs_hybla_rtt[1,:], label = \"RTT = 0.1s\")\n",
    "axs[1,0].plot(err_rates,throughputs_hybla_rtt[2,:], label = \"RTT = 0.6s\")\n",
    "axs[1,0].semilogx()\n",
    "axs[1,0].legend()\n",
    "axs[1,0].grid()\n",
    "\n",
    "axs[1,1].plot(err_rates, throughputs_cubic_rtt[0,:],label = \"RTT = 0.025s\")\n",
    "axs[1,1].plot(err_rates,throughputs_cubic_rtt[1,:], label = \"RTT = 0.1s\")\n",
    "axs[1,1].plot(err_rates,throughputs_cubic_rtt[2,:], label = \"RTT = 0.6s\")\n",
    "axs[1,1].semilogx()\n",
    "axs[1,1].legend()\n",
    "axs[1,1].grid()\n",
    "axs[1,1].set_title(r\"C=100Mb\")\n",
    "\n",
    "for ax in axs.flat:\n",
    "    ax.set(xlabel=r\"Loss rate $[\\lambda] = s^{-1}$\", ylabel=r'Normalised throughputs')\n",
    "\n",
    "# Hide x labels and tick labels for top plots and y ticks for right plots.\n",
    "for ax in axs.flat:\n",
    "    ax.label_outer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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