\n",
"\n",
"show code\n",
"\"\"\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"hide_input": true,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# import pandas as pd\n",
"# import numpy as np\n",
"# import matplotlib.pyplot as plt\n",
"# from matplotlib.path import Path\n",
"# from matplotlib.patches import PathPatch\n",
"# import seaborn as sns\n",
"# # from pulp import *\n",
"\n",
"# from ipywidgets import *\n",
"# %matplotlib inline\n",
"# import warnings\n",
"# warnings.filterwarnings('ignore')\n",
"%run ./loadoptfuncs.py\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Mixed-Integer Programming\n",
"\n",
"Optimization models in which some or all of the variables must be integer are known as **mixed-integer programming** (MIP). There are two main reasons for using MIP. \n",
"\n",
"- The decision variables are quantities that have to be integer, e.g., number of employee to assign or number of car to make\n",
"\n",
"- The decision variables are binaries to indicate whether an activity is undertaken, e.g., $z=0$ or $1$ where $1$ indicates the decision of renting an equipment so that the firm need to pay a fixed cost, $0$ otherwise.\n",
"\n",
"If we relax the integrality requirements of MIP, then we obtain a so-called LP relaxation of a given MIP.\n",
"\n",
"You might suspect that MIP would be easier to solve than LP models. After all, there are only a finite number of feasible integer solutions in an MIP model, whereas there are infinitely many feasible solutions in an LP model. \n",
"\n",
"However, exactly the opposite is true. MIP models are considerably harder than LP models, because the optimal solution rarely occurs at the corner of its LP relaxation. Algorithms such as Branch-and-bound (B&B) or Branch-and-cut (B&C) are designed for solving MIP effectively and well implemented in commercial software."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Branch and Bound Algorithm\n",
"\n",
"Branch-and-bound algorithm is designed to use LP relaxation to solve MIP. The picture shows the difference between a MIP and its LP relaxation.\n",
"\n",
"- The \"integer feasible region\" in the picture connects all integer feasible solutions. In particular, it is a convex combination of all feasible solutions.\n",
"\n",
"- Similar to LP, the optimal solution of the MIP occurs at the corner of the integer feasible region.\n",
"\n",
"- However, as shown in the picture, the boundary of integer feasible region is much more complicated than its LP relaxation feasible region."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
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