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@fhiyo
Last active April 5, 2019 08:49
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import japanize_matplotlib\n",
"import math\n",
"\n",
"import pulp\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"def plot_feasible_region(obj_value: float):\n",
" x = np.arange(0,400,0.01)\n",
" y0 = 0 * x\n",
" y1 = - 5 / 7 * x + 1600 / 3\n",
" y2 = - 6 / 5 * x + 600\n",
" y3 = - 25 / 8 * x + 1125\n",
" # y_obj = -0.8 * x + 2 * 200 # 200の部分は適当に\n",
" y_obj = -1.6 * x + 2 * obj_value\n",
"\n",
"\n",
" y = np.minimum(np.minimum(y1, y2), y3)\n",
" plt.plot(x, y_obj, color='r', label='目的関数 (ミネラル)')\n",
" plt.plot(x, y1, color='k', label='糖質')\n",
" plt.plot(x, y2, color='b', label='食物繊維')\n",
" plt.plot(x, y3, color='g', label='毒素')\n",
" plt.fill_between(x, y0, y, facecolor='y', alpha=0.5)\n",
"\n",
" plt.ylim(0, 600)\n",
" plt.legend(prop={'size': 14})"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_feasible_region(300)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"eucalyptus = ['a', 'b']\n",
"\n",
"sugar_content = {\n",
" 'a': 10,\n",
" 'b': 14\n",
"}\n",
"\n",
"fiber_content = {\n",
" 'a': 12,\n",
" 'b': 10\n",
"}\n",
"\n",
"toxin_content = {\n",
" 'a': 2.5,\n",
" 'b': 0.8\n",
"}\n",
"\n",
"mineral_content = {\n",
" 'a': 0.8,\n",
" 'b': 0.5\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"prob = pulp.LpProblem('Diet Problem', pulp.LpMaximize)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"eucalyptus_vers = pulp.LpVariable.dicts('Eucalyptus', eucalyptus, lowBound=0)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'a': Eucalyptus_a, 'b': Eucalyptus_b}"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"eucalyptus_vers"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"prob += pulp.lpSum([mineral_content[i] * eucalyptus_vers[i] for i in eucalyptus]), 'Total Mineral Content'"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"prob += pulp.lpSum([sugar_content[i] * eucalyptus_vers[i] for i in eucalyptus]) <= 6400, 'Total Sugar Content'\n",
"prob += pulp.lpSum([fiber_content[i] * eucalyptus_vers[i] for i in eucalyptus]) <= 6000, 'Total Fiber Content'\n",
"prob += pulp.lpSum([toxin_content[i] * eucalyptus_vers[i] for i in eucalyptus]) <= 900, 'Total Toxin Content'"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"prob.solve()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Optimal'"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pulp.LpStatus[prob.status]"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Eucalyptus_a = 277.03704\n",
"Eucalyptus_b = 259.25926\n",
"0.8*Eucalyptus_a + 0.5*Eucalyptus_b\n",
"optimized value: 351.25926200000004\n"
]
}
],
"source": [
"for v in prob.variables():\n",
" print(f'{v.name} = {v.varValue}')\n",
"\n",
"print(prob.objective)\n",
"print(f'optimized value: {pulp.value(prob.objective)}')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_feasible_region(pulp.value(prob.objective))"
]
},
{
"cell_type": "code",
"execution_count": null,
"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": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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