tests_maximizacion.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<module 'maximizacion' from 'c:\\\\Users\\\\Manu\\\\OneDrive\\\\Escritorio\\\\UTN\\\\Simulación\\\\TP6\\\\maximizacion.py'>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import maximizacion\n",
    "from importlib import reload\n",
    "reload(maximizacion)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteración 0 x: 19 y: 0.4436540586436921 z: 1042.692960684642 \n",
      " desplzaiento x: 0.5159486496884074 desplazamiento y: 0.0\n",
      "Iteración 1 x: 19.515948649688408 y: 0.4436540586436921 z: 1068.6442949991592 \n",
      " desplzaiento x: 0.34491432355487633 desplazamiento y: 0.0\n",
      "Iteración 2 x: 19.860862973243282 y: 0.4436540586436921 z: 1068.3633930732829 \n",
      " desplzaiento x: 0.34446438730131834 desplazamiento y: 0.0\n",
      "Iteración 3 x: 20.2053273605446 y: 0.4436540586436921 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: -0.006491295276089205\n",
      "Iteración 4 x: 20.20019891379399 y: 0.4371627633676029 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 5 x: 20.242439022476812 y: 0.4428643873936515 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 6 x: 20.200069631881508 y: 0.44261151796322323 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 7 x: 20.194941185130897 y: 0.44261151796322323 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 8 x: 20.23718129381372 y: 0.44831314198927186 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 9 x: 20.194811903218415 y: 0.44806027255884356 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: -0.006491295276089205\n",
      "Iteración 10 x: 20.189683456467804 y: 0.44156897728275435 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 11 x: 20.231923565150627 y: 0.447270601308803 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 12 x: 20.189554174555322 y: 0.4470177318783747 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 13 x: 20.18442572780471 y: 0.4470177318783747 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 14 x: 20.226665836487534 y: 0.4527193559044233 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 15 x: 20.18429644589223 y: 0.452466486473995 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: -0.006491295276089205\n",
      "Iteración 16 x: 20.17916799914162 y: 0.4459751911979058 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 17 x: 20.22140810782444 y: 0.4516768152239544 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 18 x: 20.179038717229137 y: 0.4514239457935261 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 19 x: 20.173910270478526 y: 0.4514239457935261 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 20 x: 20.21615037916135 y: 0.45712556981957475 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
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      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 22 x: 20.168652541815433 y: 0.45687270038914646 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 23 x: 20.163524095064822 y: 0.45687270038914646 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
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      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
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      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
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      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 29 x: 20.20037719317207 y: 0.46698053833034653 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 30 x: 20.158007802576765 y: 0.46672766889991824 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: -0.006491295276089205\n",
      "Iteración 31 x: 20.152879355826155 y: 0.460236373623829 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 32 x: 20.195119464508977 y: 0.46593799764987764 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 33 x: 20.152750073913673 y: 0.46568512821944935 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 34 x: 20.147621627163062 y: 0.46568512821944935 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 35 x: 20.189861735845884 y: 0.471386752245498 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 36 x: 20.14749234525058 y: 0.4711338828150697 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: -0.006491295276089205\n",
      "Iteración 37 x: 20.14236389849997 y: 0.46464258753898047 z: 1087.9893593150232 \n",
      " desplzaiento x: 0.042240108682822214 desplazamiento y: 0.005701624026048648\n",
      "Iteración 38 x: 20.18460400718279 y: 0.4703442115650291 z: 1087.9103921900191 \n",
      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
      "Iteración 39 x: 20.142234616587487 y: 0.4700913421346008 z: 1088.559521717628 \n",
      " desplzaiento x: -0.005128446750609328 desplazamiento y: 0.0\n",
      "Iteración 40 x: 20.137106169836876 y: 0.4700913421346008 z: 1087.9893593150232 \n",
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      " desplzaiento x: -0.04236939059530414 desplazamiento y: -0.0002528694304282908\n",
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      "Iteración 98 x: 20.021194946176884 y: 0.5355914239156185 z: 1088.5678328979152 \n",
      " desplzaiento x: -0.003931404816180475 desplazamiento y: 0.0\n",
      "Iteración 99 x: 20.017263541360702 y: 0.5355914239156185 z: 1088.5678328979152 \n",
      " desplzaiento x: -0.003931404816180475 desplazamiento y: 0.0\n"
     ]
    },
    {
     "data": {
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     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "maxm = maximizacion.Maximizacion(n_loops=10_000, n_repeticiones=5)\n",
    "maxm.generar_punto_de_partida()\n",
    "maxm.optimizar()"
   ]
  },
  {
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   "source": [
    "import plotly.graph_objs as go\n",
    "from math import floor\n",
    "\n",
    "# Example list of tuples (x, y, z)\n",
    "#data = [max.tracking[floor(len(max.tracking)/10)*i-1] for i in range(10)]\n",
    "data = maxm.tracking\n",
    "\n",
    "# Extracting x, y, z coordinates from the list of tuples\n",
    "\n",
    "# Extracting x, y, z coordinates from the list of tuples\n",
    "x = [point[0] for point in data]\n",
    "y = [point[1] for point in data]\n",
    "z = [point[2] for point in data]\n",
    "\n",
    "# Create trace for the curve\n",
    "trace_curve = go.Scatter3d(\n",
    "    x=x,\n",
    "    y=y,\n",
    "    z=z,\n",
    "    mode='lines',\n",
    "    line=dict(color='blue', width=3),\n",
    "    name='Curve'\n",
    ")\n",
    "\n",
    "# Create traces for the directional arrows\n",
    "arrows = []\n",
    "for i in range(len(x)-1):\n",
    "    arrow = go.Cone(\n",
    "        x=[x[i+1]],\n",
    "        y=[y[i+1]],\n",
    "        z=[z[i+1]],\n",
    "        u=[x[i+1]-x[i]],\n",
    "        v=[y[i+1]-y[i]],\n",
    "        w=[z[i+1]-z[i]],\n",
    "        sizemode='absolute',\n",
    "        sizeref=0.25,\n",
    "        showscale=False,\n",
    "        colorscale='Reds',\n",
    "        opacity=0.5,\n",
    "        name='Arrow '+str(i+1)\n",
    "    )\n",
    "    arrows.append(arrow)\n",
    "\n",
    "# Create layout\n",
    "layout = go.Layout(\n",
    "    scene=dict(\n",
    "        aspectmode=\"cube\",\n",
    "        xaxis=dict(title='X'),\n",
    "        yaxis=dict(title='Y'),\n",
    "        zaxis=dict(title='Z')\n",
    "    )\n",
    ")\n",
    "\n",
    "# Create figure\n",
    "fig = go.Figure(data=[trace_curve] + arrows, layout=layout)\n",
    "\n",
    "# Show plot\n",
    "fig.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Assuming you have a list of tuples containing (b, m, z)\n",
    "data = maxm.tracking\n",
    "# Find the tuple with the maximum z value\n",
    "max_tuple = max(data, key=lambda x: x[2])\n",
    "b_max, m_max, z_max = max_tuple\n",
    "\n",
    "# Define the function b + m * log(x+1)\n",
    "def function(x, b, m):\n",
    "    return b + m * np.log(x + 1)\n",
    "\n",
    "f = lambda x: function(x, b_max, m_max)\n",
    "\n",
    "# Generate x values\n",
    "x_values = np.linspace(0, 40, 1000)\n",
    "\n",
    "# Generate y values using the function with the maximum b and m\n",
    "y_values = function(x_values, b_max, m_max)\n",
    "\n",
    "# Plot the function\n",
    "plt.plot(x_values, y_values, label=f'{b_max} + {m_max} * log(x + 1)')\n",
    "\n",
    "# Shade the area above the curve\n",
    "plt.fill_between(x_values, y_values, max(y_values), color='green', alpha=0.3, where=(x_values >0)&(x_values<40))\n",
    "\n",
    "# Shade the area below the curve\n",
    "plt.fill_between(x_values, y_values, min(y_values), color='red', alpha=0.3, where=(x_values >0)&(x_values<40))\n",
    "\n",
    "# Label the areas\n",
    "plt.text(10, max(y_values) -0.5, 'ACEPTA', horizontalalignment='center', fontsize=12, color='green')\n",
    "plt.text(20, min(y_values)+1, 'NO ACEPTA', horizontalalignment='center', fontsize=12, color='red')\n",
    "\n",
    "# Add legend\n",
    "plt.legend()\n",
    "\n",
    "# Add labels and title\n",
    "plt.xlabel('Horas Ocupadas')\n",
    "plt.ylabel('Monto')\n",
    "plt.title('Criterio de aceptación')\n",
    "\n",
    "# Show plot\n",
    "plt.grid(True)\n",
    "plt.show()\n"
   ]
  }
 ],
 "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": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}