147 lines
4.1 KiB
Plaintext
147 lines
4.1 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "google",
|
|
"metadata": {},
|
|
"source": [
|
|
"##### Copyright 2025 Google LLC."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "apache",
|
|
"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",
|
|
"id": "basename",
|
|
"metadata": {},
|
|
"source": [
|
|
"# simple_lp_program_mb"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "link",
|
|
"metadata": {},
|
|
"source": [
|
|
"<table align=\"left\">\n",
|
|
"<td>\n",
|
|
"<a href=\"https://colab.research.google.com/github/google/or-tools/blob/main/examples/notebook/linear_solver/simple_lp_program_mb.ipynb\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/colab_32px.png\"/>Run in Google Colab</a>\n",
|
|
"</td>\n",
|
|
"<td>\n",
|
|
"<a href=\"https://github.com/google/or-tools/blob/main/ortools/linear_solver/samples/simple_lp_program_mb.py\"><img src=\"https://raw.githubusercontent.com/google/or-tools/main/tools/github_32px.png\"/>View source on GitHub</a>\n",
|
|
"</td>\n",
|
|
"</table>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "doc",
|
|
"metadata": {},
|
|
"source": [
|
|
"First, you must install [ortools](https://pypi.org/project/ortools/) package in this colab."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "install",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"%pip install ortools"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "description",
|
|
"metadata": {},
|
|
"source": [
|
|
"\n",
|
|
"Minimal example to call the GLOP solver using model_builder."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "code",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import math\n",
|
|
"\n",
|
|
"from ortools.linear_solver.python import model_builder\n",
|
|
"\n",
|
|
"\n",
|
|
"\n",
|
|
"def main():\n",
|
|
" # Create the model.\n",
|
|
" model = model_builder.Model()\n",
|
|
"\n",
|
|
" # Create the variables x and y.\n",
|
|
" x = model.new_num_var(0.0, math.inf, \"x\")\n",
|
|
" y = model.new_num_var(0.0, math.inf, \"y\")\n",
|
|
"\n",
|
|
" print(\"Number of variables =\", model.num_variables)\n",
|
|
"\n",
|
|
" # x + 7 * y <= 17.5.\n",
|
|
" ct = model.add(x + 7 * y <= 17.5)\n",
|
|
"\n",
|
|
" # x <= 3.5.\n",
|
|
" model.add(x <= 3.5)\n",
|
|
"\n",
|
|
" print(\"Number of constraints =\", model.num_constraints)\n",
|
|
"\n",
|
|
" # Maximize x + 10 * y.\n",
|
|
" model.maximize(x + 10 * y)\n",
|
|
"\n",
|
|
" # Create the solver with the GLOP backend, and solve the model.\n",
|
|
" solver = model_builder.Solver(\"glop\")\n",
|
|
" if not solver.solver_is_supported():\n",
|
|
" return\n",
|
|
" status = solver.solve(model)\n",
|
|
"\n",
|
|
" if status == model_builder.SolveStatus.OPTIMAL:\n",
|
|
" print(\"Solution:\")\n",
|
|
" print(\"Objective value =\", solver.objective_value)\n",
|
|
" print(\"x =\", solver.value(x))\n",
|
|
" print(\"y =\", solver.value(y))\n",
|
|
"\n",
|
|
" print(\"dual_value(ct) =\", solver.dual_value(ct))\n",
|
|
" print(\"reduced_cost(x) =\", solver.reduced_cost(x))\n",
|
|
" else:\n",
|
|
" print(\"The problem does not have an optimal solution.\")\n",
|
|
"\n",
|
|
" print(\"\\nAdvanced usage:\")\n",
|
|
" print(\"Problem solved in %f seconds\" % solver.wall_time)\n",
|
|
"\n",
|
|
"\n",
|
|
"main()\n",
|
|
"\n"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"language_info": {
|
|
"name": "python"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|