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@jkgiesler
Last active May 3, 2020 22:05
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Optimization techniques in python\n",
"\n",
"examples worked from [http://www.purplemath.com/modules/linprog.htm](http://www.purplemath.com/modules/linprog.htm)\n",
"\n",
"more docs:\n",
"\n",
"[https://software.sandia.gov/downloads/pub/coopr/CooprGettingStarted.html](https://software.sandia.gov/downloads/pub/coopr/CooprGettingStarted.html)\n",
"\n",
"[http://www.springer.com/cda/content/document/cda_downloaddocument/9781461432258-c1.pdf?SGWID=0-0-45-1300451-p174287165](http://www.springer.com/cda/content/document/cda_downloaddocument/9781461432258-c1.pdf?SGWID=0-0-45-1300451-p174287165)\n",
"\n",
"[https://www.ibm.com/developerworks/cloud/library/cl-optimizepythoncloud1/](https://www.ibm.com/developerworks/cloud/library/cl-optimizepythoncloud1/)"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING: pylab import has clobbered these variables: ['prod', 'sinh', 'tan', 'cosh', 'sin', 'copy', 'exp', 'ceil', 'cos', 'tanh', 'sqrt', 'floor', 'log', 'log10', 'display', 'inv']\n",
"`%matplotlib` prevents importing * from pylab and numpy\n"
]
}
],
"source": [
"from __future__ import division,print_function\n",
"import pandas\n",
"from pandas import DataFrame\n",
"from pyomo.environ import *\n",
"from pyomo.opt import SolverFactory\n",
"import copy\n",
"from sqlalchemy import create_engine\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('ggplot')\n",
"from IPython.display import Image\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## First Example"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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ntavlDC0tJ4SEa1NEZSmQVFLn9Mn9A3Y8/VAGGL1tMLIX78fKPO/QcIYk2SHt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\nBrj39cCpVw5OiDQfJfvx82rAE2k+oSEXh5TGez5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5uA5hq7oBUtUNkXgigUjmQuKFXJO2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r+DaX+PCy6w7cjPzbNtAdq56nA9cz6pnxtwfN3/6pXfD0RmpEp8cD5a+blmGYvjZdCwxs5H/PHG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\nEC11oD6AE/1EOP1O2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KLc8/71mbR6T1quasP/XUSuXjlIIdKIZwuVsptBp0myiWNrk+hh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\ncsq57vj7faLcrHzqdvg+LYZ11WQSNcybMePi1Z/YhWp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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Image(filename='p3.png')\n",
"#![hmm](p3.png)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Job 5044617 submitted to NEOS, password='xFfYVZbC'\n",
"Check the following URL for progress report :\n",
"http://www.neos-server.org/neos/cgi-bin/nph-neos-solver.cgi?admin=results&jobnumber=5044617&pass=xFfYVZbC\n",
"Job 5044617 dispatched\n",
"password: xFfYVZbC\n",
"---------- Begin Solver Output -----------\n",
"Condor submit: 'neos.submit'\n",
"Condor submit: 'watchdog.submit'\n",
"Job submitted to NEOS HTCondor pool.\n",
"\n",
"Problem: \n",
"- Lower bound: -inf\n",
" Upper bound: inf\n",
" Number of objectives: 1\n",
" Number of constraints: 3\n",
" Number of variables: 2\n",
" Sense: unknown\n",
"Solver: \n",
"- Status: ok\n",
" Message: CBC 2.9.4 optimal, objective 650; 0 iterations\n",
" Termination condition: optimal\n",
" Id: 0\n",
"Solution: \n",
"- number of solutions: 0\n",
" number of solutions displayed: 0\n",
"\n"
]
}
],
"source": [
"# scientific and graphing calculators\n",
"# Daily Production:\n",
"\n",
"# 100 <= sci <= 200\n",
"# 80 <= graph <= 200\n",
"# sci + graph >= 200\n",
"# max(profit) where profit = sci*-2 + graph*5\n",
"\n",
"model = ConcreteModel()\n",
"\n",
"# our variables\n",
"model.sci = Var(within=PositiveReals) # domain is R+\n",
"model.graph = Var(within=PositiveReals) #domain is R+\n",
"\n",
"# our function to maximize\n",
"def maximize_me(model):\n",
" # note this is returns a function _NOT_ a number. Super easy mistake to make\n",
" return -2*model.sci + 5*model.graph\n",
"\n",
"model.cost = Objective(rule=maximize_me,sense = maximize)\n",
"\n",
"# our constraint functions\n",
"def sci_const(model):\n",
" # can also be written as:\n",
" # return (100,model.sci,200)\n",
" return 100 <= model.sci <= 200\n",
"def graph_cosnt(model):\n",
" # can also be written as:\n",
" # return (80,model.graph,170)\n",
" return 80 <= model.graph <= 170\n",
"\n",
"def shipping_cosnt(model):\n",
" return model.sci + model.graph >= 200\n",
"\n",
"model.sci_c = Constraint(rule=sci_const)\n",
"model.gra_c = Constraint(rule=graph_cosnt)\n",
"model.ship_c = Constraint(rule=shipping_cosnt)\n",
"\n",
"# # ## Local Solver - Need to install glpk and put it in your path\n",
"# # opt = SolverFactory('glpk')\n",
"# # results = opt.solve(model)\n",
"\n",
"\n",
"# ## Online Solver - thanks UW Madison!\n",
"opt = SolverFactory('cbc')\n",
"solver_manager=SolverManagerFactory(\"neos\")\n",
"results = solver_manager.solve(model,opt=opt)\n",
"print(results)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Solution: Make 100.0 scientific and 170.0 graphing calculators a day\n",
"Gives us $650.0\n"
]
}
],
"source": [
"print('Solution: Make {0} scientific and {1} graphing calculators a day'.format(model.sci.value,model.graph.value))\n",
"print('Gives us ${}'.format(-2*model.sci.value + 5*model.graph.value))"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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yy2RQvuaaa+TfXtMwZgy9feedtG7BAtkKBjcXV3X++bRQbA9Vz30Gc3fXj/7s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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 118,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Image(filename='s2.png')\n",
"#![s2.png](s2.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Second Example"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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LU39amFhJ80f1PCvraMdInW5Wm1bGVaQFZO6Ssd+/NqbvT9hnFtjTXF7SHtHy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\nRK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 119,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#![second problem](p4.png)\n",
"Image(filename='p4.png')"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Job 5044594 submitted to NEOS, password='NqQbSFUX'\n",
"Check the following URL for progress report :\n",
"http://www.neos-server.org/neos/cgi-bin/nph-neos-solver.cgi?admin=results&jobnumber=5044594&pass=NqQbSFUX\n",
"Job 5044594 dispatched\n",
"password: NqQbSFUX\n",
"---------- Begin Solver Output -----------\n",
"Condor submit: 'neos.submit'\n",
"Condor submit: 'watchdog.submit'\n",
"Job submitted to NEOS HTCondor pool.\n",
"\n",
"Problem: \n",
"- Lower bound: -inf\n",
" Upper bound: inf\n",
" Number of objectives: 1\n",
" Number of constraints: 3\n",
" Number of variables: 3\n",
" Sense: unknown\n",
"Solver: \n",
"- Status: ok\n",
" Message: CBC 2.9.4 optimal, objective -12965; 0 nodes, 0 iterations, 0.002 seconds\n",
" Termination condition: optimal\n",
" Id: 0\n",
"Solution: \n",
"- number of solutions: 0\n",
" number of solutions displayed: 0\n",
"\n"
]
}
],
"source": [
"# Smart Investing\n",
"# Three funds: municipal, local, high-risk\n",
"# I have 12,000 total\n",
"# high risk <= 2000\n",
"# municipal >= 3 * local\n",
"# maximize (municipal * 1.07 + local * 1.08 + high-risk * 1.12)\n",
"\n",
"# showing off dictionaries - totally abusing global scope of jupyter notebooks\n",
"interest = {'muni':1.07,'local':1.08,'high':1.12}\n",
"investments = ['muni','local','high']\n",
"max_money = 12000\n",
"\n",
"model = ConcreteModel()\n",
"\n",
"# our variables\n",
"# we can condense it into a list instead of 3 seperate variables\n",
"# allows us to change interest rate / types of investments on the fly\n",
"\n",
"model.x = Var(investments, within=Integers,initialize=1)\n",
"\n",
"# our objective function\n",
"def maximize_me(model):\n",
" return sum(model.x[inv] * interest[inv] for inv in model.x)\n",
"\n",
"model.cost = Objective(rule=maximize_me,sense = maximize)\n",
"\n",
"# our constraints\n",
"def budget(model):\n",
" return max_money == sum(model.x[x] for x in model.x)\n",
"\n",
"model.max_spend = Constraint(rule=budget)\n",
"\n",
"def high_risk(model):\n",
" return model.x['high'] <= 2000\n",
"\n",
"model.risk_const = Constraint(rule=high_risk)\n",
"\n",
"def municp_balance(model):\n",
" return model.x['muni'] >= model.x['local'] * 3\n",
"\n",
"model.muni_bal = Constraint(rule=municp_balance)\n",
"\n",
"# # ## Local Solver - Need to install glpk and put it in your path\n",
"# # opt = SolverFactory('glpk')\n",
"# # results = opt.solve(model)\n",
"\n",
"# ## Online Solver - thanks UW Madison!\n",
"opt = SolverFactory('cbc')\n",
"solver_manager=SolverManagerFactory(\"neos\")\n",
"results = solver_manager.solve(model,opt=opt)\n",
"print(results)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Invest 7500.0 in muni, 2500.0 in local, and 2000.0 in high\n",
"One year profit is 965.0\n"
]
}
],
"source": [
"print('Invest {0} in muni, {1} in local, and {2} in high'.format(*[model.x[val].value for val in investments]))\n",
"print('One year profit is {0}'.format(sum(model.x[inv].value * interest[inv] for inv in model.x)-max_money))"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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MBWpqa9RvLizhllvqg5v73nvoedllSG3SBBP+8hcZ/CFYaAzdMxUVOH8BI5hx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\n7XIhAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#![s3](s3.png)\n",
"Image(filename='s3.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Final Example"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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0/jszaVHaFmOP9Z83bSO99fJEuuTEblF7RJUfv/VjmsN1U8aupndf/4ae+POn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bBXG6QAfMMGgF7zCvUFW/Sh/WNOAMqw0X7RB/rD+9m7detmdOhDt7tRhi/4gJ3OT/vWcaHevXMf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KvnNzkxCjwLNJm6646NqGaPfDEKxYuwPbt+9FeHgY4hQEGxcTETaN8Gn8kJpqqqnuq7tigucF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\nv0qbwSskTwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 121,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#![p5](p5.png)\n",
"Image(filename='p5.png')"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Job 5044615 submitted to NEOS, password='AGNJePIk'\n",
"Check the following URL for progress report :\n",
"http://www.neos-server.org/neos/cgi-bin/nph-neos-solver.cgi?admin=results&jobnumber=5044615&pass=AGNJePIk\n",
"Job 5044615 dispatched\n",
"password: AGNJePIk\n",
"---------- Begin Solver Output -----------\n",
"Condor submit: 'neos.submit'\n",
"Condor submit: 'watchdog.submit'\n",
"Job submitted to NEOS HTCondor pool.\n",
"\n",
"Problem: \n",
"- Lower bound: -inf\n",
" Upper bound: inf\n",
" Number of objectives: 1\n",
" Number of constraints: 4\n",
" Number of variables: 4\n",
" Sense: unknown\n",
"Solver: \n",
"- Status: ok\n",
" Message: CBC 2.9.4 optimal, objective 62.5; 0 nodes, 0 iterations, 0.002 seconds\n",
" Termination condition: optimal\n",
" Id: 0\n",
"Solution: \n",
"- number of solutions: 0\n",
" number of solutions displayed: 0\n",
"\n"
]
}
],
"source": [
"# Building Supply\n",
"\n",
"# Two customers\n",
"# Customer A needs 50 sheets\n",
"# Customer B needs 70 sheets\n",
"\n",
"# East Warehouse has 80 sheets\n",
"# West Warehouse has 45 sheets\n",
"\n",
"# Delivery Costs:\n",
"# E -> A $0.50\n",
"# E -> B $0.60\n",
"# W -> A $0.40\n",
"# W -> B $0.55\n",
"\n",
"demand = {'A':50,'B':70}\n",
"supply = {'E':80,'W':45}\n",
"traffic = ['EA','EB','WA','WB']\n",
"costs = {'EA':0.50,'EB':0.60,'WA':0.40,'WB':0.55}\n",
"model = ConcreteModel()\n",
"\n",
"# our variables\n",
"model.x = Var(traffic, within=NonNegativeIntegers,bounds=(0,1000))\n",
"\n",
"# our objective function\n",
"def minimize_me(model):\n",
" return sum(model.x[t] * costs[t] for t in model.x)\n",
"\n",
"model.cost = Objective(rule=minimize_me,sense=minimize)\n",
"\n",
"# our constraints\n",
"def cust_a_sat(model):\n",
" return sum(model.x[idx] for idx in traffic if 'A' in idx) == demand['A']\n",
"\n",
"def cust_b_sat(model):\n",
" return sum(model.x[idx] for idx in traffic if 'B' in idx) == demand['B']\n",
"\n",
"def supply_cap_E(model):\n",
" return sum(model.x[idx] for idx in traffic if 'E' in idx) <= supply['E']\n",
"\n",
"def supply_cap_W(model):\n",
" return sum(model.x[idx] for idx in traffic if 'W' in idx) <= supply['W']\n",
"\n",
"model.cust_a = Constraint(rule = cust_a_sat)\n",
"model.cust_b = Constraint(rule = cust_b_sat)\n",
"model.sup_e = Constraint(rule = supply_cap_E)\n",
"model.sup_w = Constraint(rule = supply_cap_W)\n",
"# # ## Local Solver - Need to install glpk and put it in your path\n",
"# # opt = SolverFactory('glpk')\n",
"# # results = opt.solve(model)\n",
"\n",
"# ## Online Solver - thanks UW Madison!\n",
"opt = SolverFactory('cbc')\n",
"solver_manager=SolverManagerFactory(\"neos\")\n",
"results = solver_manager.solve(model,opt=opt)\n",
"print(results)"
]
},
{
"cell_type": "code",
"execution_count": 112,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ship 5.0 loads from the east to customer A\n",
"Ship 70.0 loads from east to customer B\n",
"Ship 45.0 loads from west to customer A\n",
"Ship 0.0 loads from the west to customer B\n",
"Total cost: $62.5\n"
]
}
],
"source": [
"print('Ship {0} loads from the east to customer A\\nShip {1} loads from east to customer B\\nShip {2} loads from west to customer A\\nShip {3} loads from the west to customer B'.format(*[model.x[val].value for val in traffic]))\n",
"print('Total cost: ${0}'.format(sum(model.x[t].value * costs[t] for t in model.x)))"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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hrTklJSVRz549Zd7s2bOpbdu28qbMeYsXL6Z//vOfcmgzPT+N+EmK+KBbB4m7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\nfrAv4NVEx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"text/plain": [
"<IPython.core.display.Image object>"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#![s5](s5.png)\n",
"Image(filename='s5.png')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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