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annotate python/traffic_engineering.py @ 665:15e244d2a1b5

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corrected bug with circular import for VideoFilenameAddable, moved to base module
author Nicolas Saunier <nicolas.saunier@polymtl.ca>
date Wed, 20 May 2015 13:57:47 +0200
parents 3b13ec964476
children 3666342dabe2
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1 #! /usr/bin/env python
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2 ''' Traffic Engineering Tools and Examples'''
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4 import prediction
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5
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6 from math import ceil
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8
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9 #########################
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10 # Simulation
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11 #########################
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12
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13 def generateTimeHeadways(meanTimeHeadway, simulationTime):
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14 '''Generates the time headways between arrivals
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15 given the meanTimeHeadway and the negative exponential distribution
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16 over a time interval of length simulationTime (assumed to be in same time unit as headway'''
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17 from random import expovariate
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18 headways = []
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19 totalTime = 0
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20 flow = 1/meanTimeHeadway
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21 while totalTime < simulationTime:
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22 h = expovariate(flow)
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23 headways.append(h)
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24 totalTime += h
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25 return headways
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26
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27 class RoadUser(object):
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28 '''Simple example of inheritance to plot different road users '''
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29 def __init__(self, position, velocity):
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30 'Both fields are 2D numpy arrays'
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31 self.position = position.astype(float)
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32 self.velocity = velocity.astype(float)
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33
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34 def move(self, deltaT):
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35 self.position += deltaT*self.velocity
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36
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37 def draw(self, init = False):
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38 from matplotlib.pyplot import plot
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39 if init:
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40 self.plotLine = plot(self.position[0], self.position[1], self.getDescriptor())[0]
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41 else:
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42 self.plotLine.set_data(self.position[0], self.position[1])
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44
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45 class PassengerVehicle(RoadUser):
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46 def getDescriptor(self):
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47 return 'dr'
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48
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49 class Pedestrian(RoadUser):
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50 def getDescriptor(self):
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51 return 'xb'
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52
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53 class Cyclist(RoadUser):
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54 def getDescriptor(self):
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55 return 'og'
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56
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57
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58 #########################
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59 # fundamental diagram
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60 #########################
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61
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62 class FundamentalDiagram(object):
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63 ''' '''
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64 def __init__(self, name):
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65 self.name = name
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66
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67 def q(self, k):
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68 return k*self.v(k)
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70 @staticmethod
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71 def meanHeadway(k):
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72 return 1/k
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74 @staticmethod
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75 def meanSpacing(q):
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76 return 1/q
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77
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78 def plotVK(self, language='fr', units={}):
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79 from numpy import arange
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80 from matplotlib.pyplot import figure,plot,xlabel,ylabel
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81 densities = [k for k in arange(1, self.kj+1)]
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82 figure()
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83 plot(densities, [self.v(k) for k in densities])
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84 xlabel('Densite (veh/km)') # todo other languages and adapt to units
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85 ylabel('Vitesse (km/h)')
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86
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87 def plotQK(self, language='fr', units={}):
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88 from numpy import arange
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89 from matplotlib.pyplot import figure,plot,xlabel,ylabel
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90 densities = [k for k in arange(1, self.kj+1)]
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91 figure()
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92 plot(densities, [self.q(k) for k in densities])
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93 xlabel('Densite (veh/km)') # todo other languages and adapt to units
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94 ylabel('Debit (km/h)')
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95
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96 class GreenbergFD(FundamentalDiagram):
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97 '''Speed is the logarithm of density'''
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98 def __init__(self, vc, kj):
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99 FundamentalDiagram.__init__(self,'Greenberg')
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100 self.vc=vc
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101 self.kj=kj
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102
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103 def v(self,k):
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104 from numpy import log
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105 return self.vc*log(self.kj/k)
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106
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107 def criticalDensity(self):
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108 from numpy import e
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109 self.kc = self.kj/e
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110 return self.kc
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111
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112 def capacity(self):
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113 self.qmax = self.kc*self.vc
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114 return self.qmax
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115
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116 #########################
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117 # intersection
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118 #########################
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119
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120 class FourWayIntersection(object):
116
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121 '''Simple class for simple intersection outline'''
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122 def __init__(self, dimension, coordX, coordY):
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123 self.dimension = dimension
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124 self.coordX = coordX
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125 self.coordY = coordY
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126
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127 def plot(self, options = 'k'):
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128 from matplotlib.pyplot import plot, axis
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129
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130 minX = min(self.dimension[0])
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131 maxX = max(self.dimension[0])
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132 minY = min(self.dimension[1])
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133 maxY = max(self.dimension[1])
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134
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135 plot([minX, self.coordX[0], self.coordX[0]], [self.coordY[0], self.coordY[0], minY],options)
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136 plot([self.coordX[1], self.coordX[1], maxX], [minY, self.coordY[0], self.coordY[0]],options)
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137 plot([minX, self.coordX[0], self.coordX[0]], [self.coordY[1], self.coordY[1], maxY],options)
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138 plot([self.coordX[1], self.coordX[1], maxX], [maxY, self.coordY[1], self.coordY[1]],options)
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139 axis('equal')
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140
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141 #########################
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142 # traffic signals
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143 #########################
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144
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145 class Volume(object):
33
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146 '''Class to represent volumes with varied vehicule types '''
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147 def __init__(self, volume, types = ['pc'], proportions = [1], equivalents = [1], nLanes = 1):
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148 '''mvtEquivalent is the equivalent if the movement is right of left turn'''
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149
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150 # check the sizes of the lists
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151 if sum(proportions) == 1:
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152 self.volume = volume
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153 self.types = types
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154 self.proportions = proportions
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155 self.equivalents = equivalents
314
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156 self.nLanes = nLanes
33
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157 else:
302
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158 print('Proportions do not sum to 1')
33
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159 pass
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160
314
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161 def checkProtected(self, opposedThroughMvt):
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162 '''Checks if this left movement should be protected,
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163 ie if one of the main two conditions on left turn is verified'''
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164 return self.volume >= 200 or self.volume*opposedThroughMvt.volume/opposedThroughMvt.nLanes > 50000
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165
205
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166 def getPCUVolume(self):
33
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167 '''Returns the passenger-car equivalent for the input volume'''
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168 v = 0
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169 for p, e in zip(self.proportions, self.equivalents):
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170 v += p*e
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171 return v*self.volume
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172
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173 class IntersectionMovement(object):
33
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174 '''Represents an intersection movement
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175 with a volume, a type (through, left or right)
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176 and an equivalent for movement type'''
205
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177 def __init__(self, volume, mvtEquivalent = 1):
33
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178 self.volume = volume
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179 self.mvtEquivalent = mvtEquivalent
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180
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181 def getTVUVolume(self):
205
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diff changeset
182 return self.mvtEquivalent*self.volume.getPCUVolume()
33
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183
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184 class LaneGroup(object):
33
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185 '''Class that represents a group of mouvements'''
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186
34
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187 def __init__(self, movements, nLanes):
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188 self.movements = movements
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189 self.nLanes = nLanes
33
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190
34
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191 def getTVUVolume(self):
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192 return sum([mvt.getTVUVolume() for mvt in self.movements])
33
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193
206
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194 def getCharge(self, saturationVolume):
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195 return self.getTVUVolume()/(self.nLanes*saturationVolume)
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196
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197 def optimalCycle(lostTime, criticalCharge):
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diff changeset
198 return (1.5*lostTime+5)/(1-criticalCharge)
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diff changeset
199
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diff changeset
200 def minimumCycle(lostTime, criticalCharge, degreeSaturation=1.):
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parents: 205
diff changeset
201 'degree of saturation can be used as the peak hour factor too'
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diff changeset
202 return lostTime/(1-criticalCharge/degreeSaturation)
34
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diff changeset
203
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diff changeset
204 class Cycle(object):
34
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diff changeset
205 '''Class to compute optimal cycle and the split of effective green times'''
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diff changeset
206 def __init__(self, phases, lostTime, saturationVolume):
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diff changeset
207 '''phases is a list of phases
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diff changeset
208 a phase is a list of lanegroups'''
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diff changeset
209 self.phases = phases
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diff changeset
210 self.lostTime = lostTime
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diff changeset
211 self.saturationVolume = saturationVolume
33
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212
206
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diff changeset
213 def computeCriticalCharges(self):
314
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diff changeset
214 self.criticalCharges = [max([lg.getCharge(self.saturationVolume) for lg in phase]) for phase in self.phases]
34
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diff changeset
215 self.criticalCharge = sum(self.criticalCharges)
206
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parents: 205
diff changeset
216
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diff changeset
217 def computeOptimalCycle(self):
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parents: 205
diff changeset
218 self.computeCriticalCharges()
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diff changeset
219 self.C = optimalCycle(self.lostTime, self.criticalCharge)
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diff changeset
220 return self.C
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diff changeset
221
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diff changeset
222 def computeMinimumCycle(self, degreeSaturation=1.):
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diff changeset
223 self.computeCriticalCharges()
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diff changeset
224 self.C = minimumCycle(self.lostTime, self.criticalCharge, degreeSaturation)
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diff changeset
225 return self.C
34
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diff changeset
226
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diff changeset
227 def computeEffectiveGreen(self):
314
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parents: 302
diff changeset
228 #from numpy import round
206
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diff changeset
229 #self.computeCycle() # in case it was not done before
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diff changeset
230 effectiveGreenTime = self.C-self.lostTime
34
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diff changeset
231 self.effectiveGreens = [round(c*effectiveGreenTime/self.criticalCharge,1) for c in self.criticalCharges]
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diff changeset
232 return self.effectiveGreens
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diff changeset
233
33
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234
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diff changeset
235 def computeInterGreen(perceptionReactionTime, initialSpeed, intersectionLength, vehicleAverageLength = 6, deceleration = 3):
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236 '''Computes the intergreen time (yellow/amber plus all red time)
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diff changeset
237 Deceleration is positive
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diff changeset
238 All variables should be in the same units'''
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parents:
diff changeset
239 if deceleration > 0:
36
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parents: 34
diff changeset
240 return [perceptionReactionTime+float(initialSpeed)/(2*deceleration), float(intersectionLength+vehicleAverageLength)/initialSpeed]
33
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diff changeset
241 else:
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diff changeset
242 print 'Issue deceleration should be strictly positive'
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243 return None
37
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diff changeset
244
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diff changeset
245 def uniformDelay(cycleLength, effectiveGreen, saturationDegree):
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diff changeset
246 '''Computes the uniform delay'''
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diff changeset
247 return 0.5*cycleLength*(1-float(effectiveGreen)/cycleLength)/(1-float(effectiveGreen*saturationDegree)/cycleLength)
87
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diff changeset
248
493
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parents: 479
diff changeset
249 def overflowDelay(T, X, c, k=0.5, I=1):
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parents: 479
diff changeset
250 '''Computes the overflow delay (HCM)
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parents: 479
diff changeset
251 T in hours
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parents: 479
diff changeset
252 c capacity of the lane group
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parents: 479
diff changeset
253 k default for fixed time signal
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parents: 479
diff changeset
254 I=1 for isolated intersection (Poisson arrival)'''
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parents: 479
diff changeset
255 from math import sqrt
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diff changeset
256 return 900*T*(X - 1 + sqrt((X - 1)**2 + 8*k*I*X/(c*T)))
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parents: 479
diff changeset
257
87
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diff changeset
258 #########################
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diff changeset
259 # misc
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diff changeset
260 #########################
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diff changeset
261
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diff changeset
262 def timeChangingSpeed(v0, vf, a, TPR):
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diff changeset
263 return TPR+(vf-v0)/a
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 73
diff changeset
264
f234154207d4 distance and time to change speed
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 73
diff changeset
265 def distanceChangingSpeed(v0, vf, a, TPR):
f234154207d4 distance and time to change speed
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 73
diff changeset
266 return TPR*v0+(vf*vf-v0*v0)/(2*a)