Update notebooks

This commit is contained in:
Mizux Seiha
2020-12-07 17:50:07 +01:00
parent a34aa62ff6
commit 7626ea5615
3 changed files with 181 additions and 26 deletions

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@@ -0,0 +1,136 @@
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"##### Copyright 2020 Google LLC."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"you may not use this file except in compliance with the License.\n",
"You may obtain a copy of the License at\n",
"\n",
" http://www.apache.org/licenses/LICENSE-2.0\n",
"\n",
"Unless required by applicable law or agreed to in writing, software\n",
"distributed under the License is distributed on an \"AS IS\" BASIS,\n",
"WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
"See the License for the specific language governing permissions and\n",
"limitations under the License.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# basic_example"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<table align=\"left\">\n",
"<td>\n",
"<a href=\"https://colab.research.google.com/github/google/or-tools/blob/master/examples/notebook/linear_solver/basic_example.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/master/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
"</td>\n",
"<td>\n",
"<a href=\"https://github.com/google/or-tools/blob/master/ortools/linear_solver/samples/basic_example.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/master/tools/github_32px.png\"/>View source on GitHub</a>\n",
"</td>\n",
"</table>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"!pip install ortools"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Copyright 2010-2018 Google LLC\n",
"# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"# you may not use this file except in compliance with the License.\n",
"# You may obtain a copy of the License at\n",
"#\n",
"# http://www.apache.org/licenses/LICENSE-2.0\n",
"#\n",
"# Unless required by applicable law or agreed to in writing, software\n",
"# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
"# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
"# See the License for the specific language governing permissions and\n",
"# limitations under the License.\n",
"\"\"\"Minimal example to call the GLOP solver.\"\"\"\n",
"# [START program]\n",
"# [START import]\n",
"from ortools.linear_solver import pywraplp\n",
"# [END import]\n",
"\n",
"\n",
"# [START solver]\n",
"# Create the linear solver with the GLOP backend.\n",
"solver = pywraplp.Solver.CreateSolver('GLOP')\n",
"# [END solver]\n",
"\n",
"# [START variables]\n",
"# Create the variables x and y.\n",
"x = solver.NumVar(0, 1, 'x')\n",
"y = solver.NumVar(0, 2, 'y')\n",
"\n",
"print('Number of variables =', solver.NumVariables())\n",
"# [END variables]\n",
"\n",
"# [START constraints]\n",
"# Create a linear constraint, 0 <= x + y <= 2.\n",
"ct = solver.Constraint(0, 2, 'ct')\n",
"ct.SetCoefficient(x, 1)\n",
"ct.SetCoefficient(y, 1)\n",
"\n",
"print('Number of constraints =', solver.NumConstraints())\n",
"# [END constraints]\n",
"\n",
"# [START objective]\n",
"# Create the objective function, 3 * x + y.\n",
"objective = solver.Objective()\n",
"objective.SetCoefficient(x, 3)\n",
"objective.SetCoefficient(y, 1)\n",
"objective.SetMaximization()\n",
"# [END objective]\n",
"\n",
"# [START solve]\n",
"solver.Solve()\n",
"# [END solve]\n",
"\n",
"# [START print_solution]\n",
"print('Solution:')\n",
"print('Objective value =', objective.Value())\n",
"print('x =', x.solution_value())\n",
"print('y =', y.solution_value())\n",
"# [END print_solution]\n",
"\n"
]
}
],
"metadata": {},
"nbformat": 4,
"nbformat_minor": 4
}

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@@ -97,6 +97,8 @@
" # [START variables]\n",
" x = solver.NumVar(0, solver.infinity(), 'x')\n",
" y = solver.NumVar(0, solver.infinity(), 'y')\n",
"\n",
" print('Number of variables =', solver.NumVariables())\n",
" # [END variables]\n",
"\n",
" # [START constraints]\n",
@@ -114,6 +116,8 @@
" constraint2 = solver.Constraint(-solver.infinity(), 2)\n",
" constraint2.SetCoefficient(x, 1)\n",
" constraint2.SetCoefficient(y, -1)\n",
"\n",
" print('Number of constraints =', solver.NumConstraints())\n",
" # [END constraints]\n",
"\n",
" # [START objective]\n",
@@ -126,20 +130,26 @@
"\n",
" # Solve the system.\n",
" # [START solve]\n",
" solver.Solve()\n",
" status = solver.Solve()\n",
" # [END solve]\n",
"\n",
" # [START print_solution]\n",
" opt_solution = 3 * x.solution_value() + 4 * y.solution_value()\n",
" print('Number of variables =', solver.NumVariables())\n",
" print('Number of constraints =', solver.NumConstraints())\n",
" # The value of each variable in the solution.\n",
" print('Solution:')\n",
" print('x = ', x.solution_value())\n",
" print('y = ', y.solution_value())\n",
" # The objective value of the solution.\n",
" print('Optimal objective value =', opt_solution)\n",
" if status == pywraplp.Solver.OPTIMAL:\n",
" print('Solution:')\n",
" print('Objective value =', solver.Objective().Value())\n",
" print('x =', x.solution_value())\n",
" print('y =', y.solution_value())\n",
" else:\n",
" print('The problem does not have an optimal solution.')\n",
" # [END print_solution]\n",
"\n",
" # [START advanced]\n",
" print('\\nAdvanced usage:')\n",
" print('Problem solved in %f milliseconds' % solver.wall_time())\n",
" print('Problem solved in %d iterations' % solver.iterations())\n",
" print('Problem solved in %d branch-and-bound nodes' % solver.nodes())\n",
" # [END advanced]\n",
"\n",
"\n",
"LinearProgrammingExample()\n",
"# [END program]\n",

View File

@@ -92,40 +92,49 @@
"# [END solver]\n",
"\n",
"# [START variables]\n",
"infinity = solver.infinity()\n",
"# Create the variables x and y.\n",
"x = solver.NumVar(0, 1, 'x')\n",
"y = solver.NumVar(0, 2, 'y')\n",
"x = solver.NumVar(0.0, infinity, 'x')\n",
"y = solver.NumVar(0.0, infinity, 'y')\n",
"\n",
"print('Number of variables =', solver.NumVariables())\n",
"# [END variables]\n",
"\n",
"# [START constraints]\n",
"# Create a linear constraint, 0 <= x + y <= 2.\n",
"ct = solver.Constraint(0, 2, 'ct')\n",
"ct.SetCoefficient(x, 1)\n",
"ct.SetCoefficient(y, 1)\n",
"# x + 7 * y <= 17.5.\n",
"solver.Add(x + 7 * y <= 17.5)\n",
"\n",
"# x <= 3.5.\n",
"solver.Add(x <= 3.5)\n",
"\n",
"print('Number of constraints =', solver.NumConstraints())\n",
"# [END constraints]\n",
"\n",
"# [START objective]\n",
"# Create the objective function, 3 * x + y.\n",
"objective = solver.Objective()\n",
"objective.SetCoefficient(x, 3)\n",
"objective.SetCoefficient(y, 1)\n",
"objective.SetMaximization()\n",
"# Maximize x + 10 * y.\n",
"solver.Maximize(x + 10 * y)\n",
"# [END objective]\n",
"\n",
"# [START solve]\n",
"solver.Solve()\n",
"status = solver.Solve()\n",
"# [END solve]\n",
"\n",
"# [START print_solution]\n",
"print('Solution:')\n",
"print('Objective value =', objective.Value())\n",
"print('x =', x.solution_value())\n",
"print('y =', y.solution_value())\n",
"if status == pywraplp.Solver.OPTIMAL:\n",
" print('Solution:')\n",
" print('Objective value =', solver.Objective().Value())\n",
" print('x =', x.solution_value())\n",
" print('y =', y.solution_value())\n",
"else:\n",
" print('The problem does not have an optimal solution.')\n",
"# [END print_solution]\n",
"\n",
"# [START advanced]\n",
"print('\\nAdvanced usage:')\n",
"print('Problem solved in %f milliseconds' % solver.wall_time())\n",
"print('Problem solved in %d iterations' % solver.iterations())\n",
"print('Problem solved in %d branch-and-bound nodes' % solver.nodes())\n",
"# [END advanced]\n",
"\n"
]
}