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@alexalemi
Created August 9, 2014 16:56
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{
"metadata": {
"name": "",
"signature": "sha256:19a349b637b95e186beaa0501806f2cf339ffbf47ebe5e379955597acd4e9ad7"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# How Effective is Speeding?\n",
"\n",
"This notebook contains some calculations done for [this stackexchange answer](http://physics.stackexchange.com/a/123760/51994) for the question [how effective is speeding?](http://physics.stackexchange.com/q/123753/51994)."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import scipy as sp\n",
"import matplotlib.pyplot as plt\n",
"from scipy.misc import imread\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fitting to data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I wanted to fit the model I found in the answer:\n",
"$$ \\text{ mpg } = \\frac{ \\alpha }{ v^2 + \\frac{\\beta }{v} } $$\n",
"\n",
"To do that I need some data. I found [this picture](http://en.wikipedia.org/wiki/Fuel_economy_in_automobiles#mediaviewer/File:Fuel_economy_vs_speed_1997.png) on wikimedia, which we will work off of."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# download the image to /tmp and open with scipy\n",
"!wget http://upload.wikimedia.org/wikipedia/commons/a/a9/Fuel_economy_vs_speed_1997.png -O /tmp/Fuel_economy_vs_speed_1997.png\n",
"pic = imread('/tmp/Fuel_economy_vs_speed_1997.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"--2014-08-09 12:54:19-- http://upload.wikimedia.org/wikipedia/commons/a/a9/Fuel_economy_vs_speed_1997.png\r\n",
"Resolving upload.wikimedia.org (upload.wikimedia.org)... "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"208.80.154.240, 2620:0:861:ed1a::2:b\r\n",
"Connecting to upload.wikimedia.org (upload.wikimedia.org)|208.80.154.240|:80... "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"connected.\r\n",
"HTTP request sent, awaiting response... "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"200 OK\r\n",
"Length: 32006 (31K) [image/png]\r\n",
"Saving to: `/tmp/Fuel_economy_vs_speed_1997.png'\r\n",
"\r\n"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" 0% [ ] 0 --.-K/s "
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
"100%[======================================>] 32,006 89.4K/s \r",
"100%[======================================>] 32,006 89.4K/s in 0.3s \r\n",
"\r\n",
"2014-08-09 12:54:21 (89.4 KB/s) - `/tmp/Fuel_economy_vs_speed_1997.png' saved [32006/32006]\r\n",
"\r\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# the image we got\n",
"plt.imshow(pic,origin='upper');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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HH9hUP6tYI3tBpCDI7ebmpjjevXu3xQUuu7NDjo+PZ/r06SaLdsnJybi7u3P16lUGDhzI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\nYGBg8DDx/3c2hnsUEjI5AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f36785910>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looking at the image, I did my \"fit\" analytically, since I can calculate, given the model that the maximum mpg occurs when the derivative vanishes\n",
"\n",
"$$ d\\text{mpg} = - \\alpha ( v^2 + \\beta/v)^{-2} ( 2 v - \\beta/v^2 ) = 0 $$\n",
"or at\n",
"$$ v^3 = \\beta/2 \\implies \\beta = 2 v_\\text{peak}^3$$\n",
"\n",
"And at this peak velocity, the peak mpg is\n",
"$$ \\text{mpg}_{\\text{peak}} = \\frac{ \\alpha }{ 3 v_{\\text{peak}}^2 } $$\n",
"which implies\n",
"$$ \\alpha = 3 v_{\\text{peak}}^2 \\text{mpg}_{\\text{peak}} $$\n",
"\n",
"Looking at the data in the image, I will take as my peak speed of 40 mpg and a peak mpg of 35"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# defining the model\n",
"beta = 2*(40)**3\n",
"alpha = 3*(40)**2*35\n",
"model = lambda v: alpha/( v**2 + 2*(40)**3/v )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# just checking that the model looks reasonable\n",
"vs = np.linspace(1,90,1000)\n",
"mpgs = model(vs)\n",
"plt.plot( vs, mpgs);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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"text": [
"<matplotlib.figure.Figure at 0x7f5f33f632d0>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In order to overlap my picture ontop of the image, I need to get the translation between speed on the graph and mpg on the graph and pixels on the image. So for this I just looked at the graph and for instance saw that the 90 mph scale on the image goes from pixel 100 to 420 or so, so that gives me the conversion factor, and the 0 of the mph scale occurs at pixel 100 or so, which gives me an offset"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# looking at hte data, get the conversion factors from mph to pixels and mpg to pixels\n",
"vscale = ( 420-100) / 90.\n",
"mpgscale = ( 400 - 150 ) / 40.\n",
"# transform the model into pixel space\n",
"vpic = 100 + vscale*vs\n",
"mpgpic = 380 - (mpgscale*mpgs)\n",
"\n",
"#Plot poth on top of one another\n",
"plt.figure(figsize=(22,16));\n",
"plt.imshow(pic, origin='upper');\n",
"plt.plot(vpic, mpgpic, linewidth=30, alpha=0.5);\n",
"plt.xlim((0,pic.shape[1]));\n",
"plt.ylim((pic.shape[0],0));\n",
"plt.axis('off');\n",
"#plt.savefig('modified.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 6,
"text": [
"(0.0, 680.0, 480.0, 0.0)"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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KioKTkxMcHR17bTuYMO92IBKJEBsbC61WiwsXLuDIkSOYPHnygEaUFRQUIDs7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r6+DB8+nICAgFYFtUpLSykoKCA+Pp6YmBjy8/PRajs+ndpoNFJQUEBSUhKxsbGMHDmSZcuW4efX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\nA1Eqlfj7+xMfH8/SpUtRKpVcvHiRkpISSkpKyLDTb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Uo6NQ+b7wt3BcK8Xl5YVCpBrR4m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\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+AzI5drMd8YmIYbKICH2znrP/cRZDq4Go7KhRMa/m/fc5+3//r9dYu93OCrMZ5enTHCkp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\n+te//qVTp07J5XLp1KlTfm2+/vprvfbaa9q5c2fAPhwOh9LT00c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AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAMCF/R9RUkvSntjJAgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f33f92110>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Pricing\n",
"\n",
"Here I try to compute the costs of driving both per hour and per distance"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gasprice = 3.753 # in dollars from wolfram alpha\n",
"costperhour = vs / mpgs * gasprice "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot( vs, costperhour, lw=3 )\n",
"plt.grid()\n",
"plt.xlabel('speed (mph)')\n",
"plt.ylabel('cost ($/hour)');\n",
"#plt.savefig('costperhour.png');\n",
"plt.title(\"Operating cost per hour for average US vehicle\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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22dnHiHqueJLWp8B9xpgCb6E7fQ/wSSICU0qpVNCw9GdWn3Fm03TObrtScOYZ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\nQ8522/kYmeop4jkk+iNwjjd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"text": [
"<matplotlib.figure.Figure at 0x7f5f338de3d0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# I get the change by taking a gradient\n",
"dcost5mph = np.gradient(costperhour, vs[1]-vs[0])*5"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(vs, dcost5mph, lw=3)\n",
"plt.grid()\n",
"plt.xlabel('speed (mph)')\n",
"plt.ylabel('dcost ($/hour/5 mph)');\n",
"#plt.savefig('dcostperhour.png');\n",
"plt.title(\"Change in operating cost for 5 mph difference in speed per hour\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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sM4DNgHOMMfNo28tMj+4QEUnAq6uj8phjafzsM1eQm0vJXXdRsOOOwQYmfYYS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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f339ae650>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"costpermile = gasprice*10./mpgs\n",
"plt.plot(vs[100:], costpermile[100:], lw=3)\n",
"plt.grid()\n",
"plt.xlabel('speed (mph)')\n",
"plt.ylabel('$/10 miles');\n",
"plt.title(\"Cost per 10 miles\");\n",
"#plt.savefig(\"costpermile.png\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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LOvkksBvfqhYvpnrlzw5HJETrUzF/PkWnj8C/aRMAruxsCp55muwThzscWew0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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f33966610>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dcostpermile = np.gradient(costpermile, vs[1]-vs[0])*5;\n",
"plt.plot(vs[100:], dcostpermile[100:], lw=3)\n",
"plt.grid()\n",
"plt.xlabel('speed (mph)')\n",
"plt.ylabel(r'delta $/10 miles/5 mph difference');\n",
"plt.title(\"Difference in cost per 10 miles for 5 mph change in speed\");\n",
"#plt.savefig(\"dcostpermile.png\");"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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liCEJ3AyciSUKuwH7ASdhbQ+mA1Ox7pC/xcZX2A5rnzANG39BJK/khg00Pv00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\nLfAscA/WRmFchHFtB5yQNW8j1vUvqpgOBz5Lpnv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"text": [
"<matplotlib.figure.Figure at 0x7f5f338def50>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Random Timing Lights"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"block_size = 1./10 # in miles\n",
"speed = 30 # mph\n",
"#speed = 35\n",
"time_between_lights = block_size / speed * 60 * 60 # in seconds\n",
"off_time = 50 # seconds\n",
"on_time = 50 # seconds\n",
"p_on = on_time *1.0/(on_time + off_time)\n",
"n = 100"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p_on"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 15,
"text": [
"0.5"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from random import random\n",
"def next_block(speed):\n",
" time_between_lights = block_size / speed * 60 * 60\n",
" if random() < p_on:\n",
" return time_between_lights\n",
" else:\n",
" return time_between_lights + random() * off_time\n",
" \n",
" \n",
"def difftimes(nblocks, speed1, speed2):\n",
" times = np.array([ sum( next_block(speed1) for i in xrange(nblocks) ) for i in xrange(10000) ])\n",
" times2 = np.array([ sum( next_block(speed2) for i in xrange(nblocks) ) for i in xrange(10000) ])\n",
" return times - times2"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"bins = np.linspace(-300,300,100)\n",
"plt.hist( difftimes(5, 45,50), bins, histtype='step', normed=True, alpha=0.6 ,lw=3, label='N=5');\n",
"plt.hist( difftimes(15, 45,50), bins, histtype='step', normed=True, alpha=0.6 ,lw=3, label='N=15');\n",
"plt.hist( difftimes(50, 45,50), bins, histtype='step', normed=True, alpha=0.6 ,lw=3, label='N=50');\n",
"plt.legend()\n",
"plt.xlim((-300,300));"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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AX/xCd0mKzXajgTC7TvVyvGMQm0XGPRKcVD6WhpoyGmq0hIe7n1OzXp6ykJ8d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\nMTExMTExMTG5xfl/6F1JZP8aHPEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f338bd890>"
]
}
],
"prompt_number": 17
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## NEW PLOTS"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# average speed\n",
"tau = 30 # seconds\n",
"vs = np.linspace(10,90,1000)\n",
"p = 0.65\n",
"d = 1./10\n",
"\n",
"average_speed = 60* 60 * d / ( d/vs * 60 * 60 + tau/2 * (1-p) )\n",
"plt.plot(vs, average_speed, lw=3);\n",
"plt.grid()\n",
"plt.xlabel('target speed (mph)');\n",
"plt.ylabel('average speed (mph)');\n",
"#plt.savefig('averagecityspeed.png');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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7eCSwEHgY+Ewp1dfhsxOAqzBLo+cDHwP9As73BJYCHwJvAR0c3l9sh2VZFL8w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\n8cETAr5PVkqNBuYD1wM1BL/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BHG0+Gn5toK4GEYl0+2tozVW4RPowRCh/c0EcgFJqN6XU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\nn6M/AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f3391a550>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Gains in time\n",
"plt.plot( vs, 5./vs , lw=3, label=\"5 mph gain\");\n",
"plt.xlabel('target speed (mph)');\n",
"plt.ylabel('fractional time');\n",
"\n",
"sigma = np.sqrt( tau**2 / 12. * ( 1 - p ) * ( 3 * p - 1) )\n",
"mu = tau/2. * ( 1 - p )\n",
"avgtime = d/vs * 60 * 60 + mu\n",
"plt.plot( vs, sigma/avgtime, ls='--', label='N=1' );\n",
"plt.plot( vs, sigma/avgtime/np.sqrt(10), ls='--', label='N=10' );\n",
"plt.plot( vs, sigma/avgtime/10.0, ls='--', label='N=100' );\n",
"plt.yscale('log');\n",
"plt.legend(loc=1);\n",
"ax = plt.gca()\n",
"\n",
"plt.grid();\n",
"plt.tight_layout()\n",
"#plt.savefig('gainsversuslights.png');"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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/8HsMnTs3Tpi6RYsonTOXglGjqXzyKVyHDoUsVyGEgMBmnPA7o4Sqqt/hnSF9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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f33f53e90>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.plot(vs, avgtime);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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kn3hiV1ts3Traln5K29KlNP/lLzTccQdsaiTn0EPIGX0YOQcfRM5BBxI48EB8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\nb+IXOJsAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f5f3391b890>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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