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annotate python/traffic_engineering.py @ 662:72174e66aba5

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corrected bug that increased TTC by 1 frame and structure to store collision points and crossing zones
author Nicolas Saunier <nicolas.saunier@polymtl.ca>
date Mon, 18 May 2015 17:17:06 +0200
parents 3b13ec964476
children 15e244d2a1b5
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1 #! /usr/bin/env python
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2 ''' Traffic Engineering Tools and Examples'''
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3
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4 from math import ceil
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6 import prediction
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7
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8 __metaclass__ = type
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11 #########################
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12 # Simulation
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13 #########################
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14
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15 def generateTimeHeadways(meanTimeHeadway, simulationTime):
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16 '''Generates the time headways between arrivals
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17 given the meanTimeHeadway and the negative exponential distribution
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18 over a time interval of length simulationTime (assumed to be in same time unit as headway'''
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19 from random import expovariate
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20 headways = []
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21 totalTime = 0
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22 flow = 1/meanTimeHeadway
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23 while totalTime < simulationTime:
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24 h = expovariate(flow)
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25 headways.append(h)
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26 totalTime += h
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27 return headways
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28
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29 class RoadUser:
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30 '''Simple example of inheritance to plot different road users '''
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31 def __init__(self, position, velocity):
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32 'Both fields are 2D numpy arrays'
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33 self.position = position.astype(float)
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34 self.velocity = velocity.astype(float)
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35
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36 def move(self, deltaT):
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37 self.position += deltaT*self.velocity
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38
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39 def draw(self, init = False):
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40 from matplotlib.pyplot import plot
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41 if init:
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42 self.plotLine = plot(self.position[0], self.position[1], self.getDescriptor())[0]
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43 else:
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44 self.plotLine.set_data(self.position[0], self.position[1])
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46
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47 class PassengerVehicle(RoadUser):
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48 def getDescriptor(self):
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49 return 'dr'
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50
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51 class Pedestrian(RoadUser):
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52 def getDescriptor(self):
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53 return 'xb'
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54
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55 class Cyclist(RoadUser):
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56 def getDescriptor(self):
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57 return 'og'
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59
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60 #########################
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61 # fundamental diagram
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62 #########################
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64 class FundamentalDiagram:
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65 ''' '''
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66 def __init__(self, name):
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67 self.name = name
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68
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69 def q(self, k):
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70 return k*self.v(k)
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71
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72 @staticmethod
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73 def meanHeadway(k):
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74 return 1/k
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75
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76 @staticmethod
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77 def meanSpacing(q):
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78 return 1/q
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79
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80 def plotVK(self, language='fr', units={}):
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81 from numpy import arange
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82 from matplotlib.pyplot import figure,plot,xlabel,ylabel
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83 densities = [k for k in arange(1, self.kj+1)]
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84 figure()
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85 plot(densities, [self.v(k) for k in densities])
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86 xlabel('Densite (veh/km)') # todo other languages and adapt to units
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87 ylabel('Vitesse (km/h)')
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88
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89 def plotQK(self, language='fr', units={}):
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90 from numpy import arange
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91 from matplotlib.pyplot import figure,plot,xlabel,ylabel
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92 densities = [k for k in arange(1, self.kj+1)]
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93 figure()
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94 plot(densities, [self.q(k) for k in densities])
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95 xlabel('Densite (veh/km)') # todo other languages and adapt to units
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96 ylabel('Debit (km/h)')
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97
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98 class GreenbergFD(FundamentalDiagram):
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99 '''Speed is the logarithm of density'''
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100 def __init__(self, vc, kj):
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101 FundamentalDiagram.__init__(self,'Greenberg')
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102 self.vc=vc
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103 self.kj=kj
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104
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105 def v(self,k):
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106 from numpy import log
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107 return self.vc*log(self.kj/k)
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108
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109 def criticalDensity(self):
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110 from numpy import e
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111 self.kc = self.kj/e
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112 return self.kc
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113
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114 def capacity(self):
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115 self.qmax = self.kc*self.vc
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116 return self.qmax
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117
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118 #########################
116
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119 # intersection
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120 #########################
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121
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122 class FourWayIntersection:
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123 '''Simple class for simple intersection outline'''
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124 def __init__(self, dimension, coordX, coordY):
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125 self.dimension = dimension
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126 self.coordX = coordX
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127 self.coordY = coordY
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128
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129 def plot(self, options = 'k'):
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130 from matplotlib.pyplot import plot, axis
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131
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132 minX = min(self.dimension[0])
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133 maxX = max(self.dimension[0])
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134 minY = min(self.dimension[1])
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135 maxY = max(self.dimension[1])
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136
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137 plot([minX, self.coordX[0], self.coordX[0]], [self.coordY[0], self.coordY[0], minY],options)
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138 plot([self.coordX[1], self.coordX[1], maxX], [minY, self.coordY[0], self.coordY[0]],options)
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139 plot([minX, self.coordX[0], self.coordX[0]], [self.coordY[1], self.coordY[1], maxY],options)
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140 plot([self.coordX[1], self.coordX[1], maxX], [maxY, self.coordY[1], self.coordY[1]],options)
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141 axis('equal')
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142
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143 #########################
33
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144 # traffic signals
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145 #########################
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146
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147 class Volume:
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148 '''Class to represent volumes with varied vehicule types '''
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149 def __init__(self, volume, types = ['pc'], proportions = [1], equivalents = [1], nLanes = 1):
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150 '''mvtEquivalent is the equivalent if the movement is right of left turn'''
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151
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152 # check the sizes of the lists
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153 if sum(proportions) == 1:
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154 self.volume = volume
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155 self.types = types
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156 self.proportions = proportions
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157 self.equivalents = equivalents
314
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158 self.nLanes = nLanes
33
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159 else:
302
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160 print('Proportions do not sum to 1')
33
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161 pass
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162
314
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diff changeset
163 def checkProtected(self, opposedThroughMvt):
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164 '''Checks if this left movement should be protected,
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165 ie if one of the main two conditions on left turn is verified'''
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166 return self.volume >= 200 or self.volume*opposedThroughMvt.volume/opposedThroughMvt.nLanes > 50000
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167
205
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168 def getPCUVolume(self):
33
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169 '''Returns the passenger-car equivalent for the input volume'''
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170 v = 0
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171 for p, e in zip(self.proportions, self.equivalents):
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172 v += p*e
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173 return v*self.volume
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174
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175 class IntersectionMovement:
33
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176 '''Represents an intersection movement
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177 with a volume, a type (through, left or right)
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178 and an equivalent for movement type'''
205
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179 def __init__(self, volume, mvtEquivalent = 1):
33
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180 self.volume = volume
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181 self.mvtEquivalent = mvtEquivalent
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182
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183 def getTVUVolume(self):
205
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diff changeset
184 return self.mvtEquivalent*self.volume.getPCUVolume()
33
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185
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186 class LaneGroup:
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187 '''Class that represents a group of mouvements'''
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188
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189 def __init__(self, movements, nLanes):
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190 self.movements = movements
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191 self.nLanes = nLanes
33
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192
34
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193 def getTVUVolume(self):
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194 return sum([mvt.getTVUVolume() for mvt in self.movements])
33
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195
206
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196 def getCharge(self, saturationVolume):
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197 return self.getTVUVolume()/(self.nLanes*saturationVolume)
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diff changeset
198
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diff changeset
199 def optimalCycle(lostTime, criticalCharge):
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diff changeset
200 return (1.5*lostTime+5)/(1-criticalCharge)
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diff changeset
201
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diff changeset
202 def minimumCycle(lostTime, criticalCharge, degreeSaturation=1.):
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parents: 205
diff changeset
203 'degree of saturation can be used as the peak hour factor too'
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diff changeset
204 return lostTime/(1-criticalCharge/degreeSaturation)
34
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diff changeset
205
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diff changeset
206 class Cycle:
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diff changeset
207 '''Class to compute optimal cycle and the split of effective green times'''
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diff changeset
208 def __init__(self, phases, lostTime, saturationVolume):
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diff changeset
209 '''phases is a list of phases
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diff changeset
210 a phase is a list of lanegroups'''
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diff changeset
211 self.phases = phases
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diff changeset
212 self.lostTime = lostTime
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diff changeset
213 self.saturationVolume = saturationVolume
33
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214
206
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parents: 205
diff changeset
215 def computeCriticalCharges(self):
314
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diff changeset
216 self.criticalCharges = [max([lg.getCharge(self.saturationVolume) for lg in phase]) for phase in self.phases]
34
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diff changeset
217 self.criticalCharge = sum(self.criticalCharges)
206
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parents: 205
diff changeset
218
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parents: 205
diff changeset
219 def computeOptimalCycle(self):
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diff changeset
220 self.computeCriticalCharges()
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diff changeset
221 self.C = optimalCycle(self.lostTime, self.criticalCharge)
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diff changeset
222 return self.C
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diff changeset
223
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diff changeset
224 def computeMinimumCycle(self, degreeSaturation=1.):
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parents: 205
diff changeset
225 self.computeCriticalCharges()
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diff changeset
226 self.C = minimumCycle(self.lostTime, self.criticalCharge, degreeSaturation)
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diff changeset
227 return self.C
34
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diff changeset
228
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diff changeset
229 def computeEffectiveGreen(self):
314
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parents: 302
diff changeset
230 #from numpy import round
206
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diff changeset
231 #self.computeCycle() # in case it was not done before
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diff changeset
232 effectiveGreenTime = self.C-self.lostTime
34
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diff changeset
233 self.effectiveGreens = [round(c*effectiveGreenTime/self.criticalCharge,1) for c in self.criticalCharges]
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diff changeset
234 return self.effectiveGreens
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diff changeset
235
33
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236
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parents:
diff changeset
237 def computeInterGreen(perceptionReactionTime, initialSpeed, intersectionLength, vehicleAverageLength = 6, deceleration = 3):
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parents:
diff changeset
238 '''Computes the intergreen time (yellow/amber plus all red time)
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parents:
diff changeset
239 Deceleration is positive
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parents:
diff changeset
240 All variables should be in the same units'''
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parents:
diff changeset
241 if deceleration > 0:
36
571b11304ec9 corrected bug
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parents: 34
diff changeset
242 return [perceptionReactionTime+float(initialSpeed)/(2*deceleration), float(intersectionLength+vehicleAverageLength)/initialSpeed]
33
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parents:
diff changeset
243 else:
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244 print 'Issue deceleration should be strictly positive'
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245 return None
37
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parents: 36
diff changeset
246
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diff changeset
247 def uniformDelay(cycleLength, effectiveGreen, saturationDegree):
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diff changeset
248 '''Computes the uniform delay'''
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parents: 36
diff changeset
249 return 0.5*cycleLength*(1-float(effectiveGreen)/cycleLength)/(1-float(effectiveGreen*saturationDegree)/cycleLength)
87
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parents: 73
diff changeset
250
493
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 479
diff changeset
251 def overflowDelay(T, X, c, k=0.5, I=1):
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parents: 479
diff changeset
252 '''Computes the overflow delay (HCM)
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parents: 479
diff changeset
253 T in hours
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Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 479
diff changeset
254 c capacity of the lane group
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parents: 479
diff changeset
255 k default for fixed time signal
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parents: 479
diff changeset
256 I=1 for isolated intersection (Poisson arrival)'''
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parents: 479
diff changeset
257 from math import sqrt
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parents: 479
diff changeset
258 return 900*T*(X - 1 + sqrt((X - 1)**2 + 8*k*I*X/(c*T)))
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parents: 479
diff changeset
259
87
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diff changeset
260 #########################
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diff changeset
261 # misc
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diff changeset
262 #########################
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diff changeset
263
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diff changeset
264 def timeChangingSpeed(v0, vf, a, TPR):
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parents: 73
diff changeset
265 return TPR+(vf-v0)/a
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parents: 73
diff changeset
266
f234154207d4 distance and time to change speed
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 73
diff changeset
267 def distanceChangingSpeed(v0, vf, a, TPR):
f234154207d4 distance and time to change speed
Nicolas Saunier <nicolas.saunier@polymtl.ca>
parents: 73
diff changeset
268 return TPR*v0+(vf*vf-v0*v0)/(2*a)