example-notebooks/bike-shop.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Alice and Bob optimize their bike paint shop with pyschedule"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alice and Bob are running a paint shop for bikes where they pimp bikes with fresh colors. Today they have to paint a green and a red bike. To get started they import pyschedule and create a new scenario. We use hours as granularity and expect a working day of at most 10 hours, so we set the planning horizon to 10. Some solvers do not need this parameter, but the default solver requires it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from pyschedule import Scenario, solvers, plotters\n",
    "S = Scenario('bike_paint_shop', horizon=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then they create themselves as resources:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Alice = S.Resource('Alice')\n",
    "Bob = S.Resource('Bob')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Painting a bike takes two hours. Moreover, after the bike has been painted, it needs to get post-processed (e.g. tires pumped) which takes one hour (which is the default). This translates into four tasks in total:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "green_paint, red_paint = S.Task('green_paint', length=2), S.Task('red_paint', length=2)\n",
    "green_post, red_post = S.Task('green_post'), S.Task('red_post')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly, one can only do the post-processing after the painting with an arbitrary gap in between. For the red paint we are a little stricter, here we want to start the post-processing exactly one hour after the painting since this is the time the color takes to dry:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "S += green_paint < green_post, red_paint + 1 <= red_post"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each task can be done by either Alice or Bob:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "green_paint += Alice|Bob\n",
    "green_post += Alice|Bob\n",
    "\n",
    "red_paint += Alice|Bob\n",
    "red_post += Alice|Bob"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So lets have a look at the scenario:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "###############################################\n",
      "\n",
      "SCENARIO: bike_paint_shop / horizon: 10\n",
      "\n",
      "OBJECTIVE: None\n",
      "\n",
      "RESOURCES:\n",
      "Alice\n",
      "Bob\n",
      "\n",
      "TASKS:\n",
      "green_paint : Alice|Bob\n",
      "red_paint : Alice|Bob\n",
      "green_post : Alice|Bob\n",
      "red_post : Alice|Bob\n",
      "\n",
      "JOINT RESOURCES:\n",
      "Alice|Bob : green_paint\n",
      "Alice|Bob : red_paint\n",
      "Alice|Bob : green_post\n",
      "Alice|Bob : red_post\n",
      "\n",
      "LAX PRECEDENCES:\n",
      "green_paint < green_post\n",
      "\n",
      "TIGHT PRECEDENCES:\n",
      "red_paint + 1 <= red_post\n",
      "\n",
      "###############################################\n"
     ]
    }
   ],
   "source": [
    "S.clear_solution()\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We havent defined an objective yet. We want to finish all tasks as early as possible, and so we use the MakeSpan and check the scenario again:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "###############################################\n",
      "\n",
      "SCENARIO: bike_paint_shop / horizon: 10\n",
      "\n",
      "OBJECTIVE: MakeSpan\n",
      "\n",
      "RESOURCES:\n",
      "Alice\n",
      "Bob\n",
      "\n",
      "TASKS:\n",
      "green_paint : Alice|Bob\n",
      "red_paint : Alice|Bob\n",
      "green_post : Alice|Bob\n",
      "red_post : Alice|Bob\n",
      "MakeSpan : Alice\n",
      "\n",
      "JOINT RESOURCES:\n",
      "Alice|Bob : green_paint\n",
      "Alice|Bob : red_paint\n",
      "Alice|Bob : green_post\n",
      "Alice|Bob : red_post\n",
      "\n",
      "LAX PRECEDENCES:\n",
      "green_paint < green_post\n",
      "green_paint < MakeSpan\n",
      "red_paint < MakeSpan\n",
      "green_post < MakeSpan\n",
      "red_post < MakeSpan\n",
      "\n",
      "TIGHT PRECEDENCES:\n",
      "red_paint + 1 <= red_post\n",
      "\n",
      "###############################################\n"
     ]
    }
   ],
   "source": [
    "S.use_makespan_objective()\n",
    "print(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hence, we want to minimize the position of the MakeSpan task subject to the constraint that it is scheduled after all other tasks. Thus, the position of the MakeSpan is the length of our schedule. Now we have the first version of our scenario, lets solve and plot it:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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JoXdFbSebxFWl24pblyRJkiTtqp15jpEkSZIkJRWDkSRJkqTYMxhJkiRJij2DkSRJkqTY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\nJI09i5EkSZKksWcxkiRJkjT2/gaAKIiG1VOiZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28f8678358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set some colors for the tasks\n",
    "task_colors = { green_paint   : '#A1D372',\n",
    "                green_post    : '#A1D372', \n",
    "                red_paint     : '#EB4845',\n",
    "                red_post      : '#EB4845',\n",
    "                S['MakeSpan'] : '#7EA7D8'}\n",
    "\n",
    "# A small helper method to solve and plot a scenario\n",
    "def run(S) :\n",
    "    if solvers.mip.solve(S):\n",
    "        %matplotlib inline\n",
    "        plotters.matplotlib.plot(S,task_colors=task_colors,fig_size=(10,5))\n",
    "    else:\n",
    "        print('no solution exists')\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Note that it could happen that somebody needs to paints the red bike and then do the green post-processing. This would be annoying, switching bikes takes too much time. We use the following constraints to ensure that the green/red painting and post-processing is always done by the same persons:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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dTbZ5HtDSNWt3ucYV69YV2b50bWLb1XP3n52Tw73vjKZhejofXn9dgSEJAA+O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\nJI09i5EkSZKksWcxkiRJkjT2/gaAKIiG1VOiZAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28d33fb630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# green_post will use the same resources as green_paint if there is an overlap in resource requirement\n",
    "green_post += green_paint*[Alice,Bob]\n",
    "# same for red_post and red_paint\n",
    "red_post += red_paint*[Alice,Bob]\n",
    "\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "This schedule completes after four hours and suggests to paint both bikes at the same time. However, Alice and Bob have only a single paint shop which they need to share:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fVZQuU5Zju/2+0H5ZWVkMfuYRqteqyyMvjqFy1er5lg954bFC1wsh8Lf7nuHR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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28d39104a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Paint_Shop = S.Resource('Paint_Shop')\n",
    "red_paint += Paint_Shop\n",
    "green_paint += Paint_Shop\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Great, everybody can still go home after five hours and have a late lunch! Unfortunately, Alice receives a call that the red bike will only arrive after two hours:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1F5+PHMK/e19HqdJlOL7L7/Ptl5GRwevPPUbVGrV57OXhVKxcNdfyAS89ke96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\nvGzp3iYQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28d34636a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S += red_paint > 2\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "Too bad, everything takes now size hours to finish. Therefore Alica and Bob decide to schedule a lunch after the third hour and before the fifth hour:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RQhwAAAAA2AghDgAAAABshBAHAAAAADZCiAMAAAAAGyHEAQAAAICN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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28d3479710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Lunch = S.Task('Lunch')\n",
    "Lunch += {Alice, Bob}\n",
    "S += Lunch > 3, Lunch < 5\n",
    "task_colors[Lunch] = '#7EA7D8'\n",
    "S.clear_objective() #we need to remove the objective and readd it because of the new lunch task\n",
    "S.use_makespan_objective()\n",
    "task_colors[S['MakeSpan']] = '#7EA7D8'\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alice is a morning person and  wants to finish three hours of work before lunch, that is, before the third hour:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pOF+Q/hg3T79+P0MTRk+Xu4ebmrauqxfe7sucN1xXfv7O53PK3JWkxH8/dEZF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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28d34d4400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S += Alice['length'][0:3] >= 3\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The weather forecast is really good for the afternoon, so Alice and Bob decide to close the shop after lunch, that is, they fix the horizon to 5 hours. Unfortunately, the following happens:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "no solution exists\n"
     ]
    }
   ],
   "source": [
    "S.horizon = 5\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This happens because there is not enough time to finish all task. Therefore, they need to priorize: Lets say the green bike gives a reward of 100 when finished while the red one only 50, which corresponds to negative schedule cost:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SJEmSth/bc4jLFkKoApwDTI4xzgshVALeAeYBLYAuQHvg4fVWbQ/s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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f28d34d0cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "green_post.schedule_cost = -100 #negative schedule cost correspond to a reward for scheduling that task\n",
    "green_paint.schedule_cost = 0 #we need to make the paint steps optional by setting the reward to 0\n",
    "red_post.schedule_cost = -50\n",
    "red_paint.schedule_cost = 0\n",
    "\n",
    "# tasks are optional, but we only want to have the post-processing scheduled if there is some painting\n",
    "red_paint += red_post\n",
    "green_paint += green_post\n",
    "run(S)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All this sounds quite trivial, but think about the same problem with many bikes and many persons!"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [default]",
   "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": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}