Eclipse SUMO - Simulation of Urban MObility
MSCFModel_IDM.cpp
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13 /****************************************************************************/
20 // The Intelligent Driver Model (IDM) car-following model
21 /****************************************************************************/
22 #include <config.h>
23 
24 #include "MSCFModel_IDM.h"
25 #include <microsim/MSVehicle.h>
26 
27 //#define DEBUG_V
28 //#define DEBUG_INSERTION_SPEED
29 
30 #define DEBUG_COND (veh->isSelected())
31 //#define DEBUG_COND true
32 
33 
34 // ===========================================================================
35 // method definitions
36 // ===========================================================================
37 MSCFModel_IDM::MSCFModel_IDM(const MSVehicleType* vtype, bool idmm) :
38  MSCFModel(vtype),
39  myIDMM(idmm),
40  myDelta(idmm ? 4.0 : vtype->getParameter().getCFParam(SUMO_ATTR_CF_IDM_DELTA, 4.)),
41  myAdaptationFactor(idmm ? vtype->getParameter().getCFParam(SUMO_ATTR_CF_IDMM_ADAPT_FACTOR, 1.8) : 1.0),
42  myAdaptationTime(idmm ? vtype->getParameter().getCFParam(SUMO_ATTR_CF_IDMM_ADAPT_TIME, 600.0) : 0.0),
43  myIterations(MAX2(1, int(TS / vtype->getParameter().getCFParam(SUMO_ATTR_CF_IDM_STEPPING, .25) + .5))),
44  myTwoSqrtAccelDecel(double(2 * sqrt(myAccel * myDecel))) {
45  // IDM does not drive very precise and may violate minGap on occasion
47 }
48 
50 
51 
52 double
53 MSCFModel_IDM::minNextSpeed(double speed, const MSVehicle* const /*veh*/) const {
54  // permit exceeding myDecel when approaching stops
55  const double decel = MAX2(myDecel, MIN2(myEmergencyDecel, 1.5));
57  return MAX2(speed - ACCEL2SPEED(decel), 0.);
58  } else {
59  // NOTE: ballistic update allows for negative speeds to indicate a stop within the next timestep
60  return speed - ACCEL2SPEED(decel);
61  }
62 }
63 
64 
65 
66 double
67 MSCFModel_IDM::finalizeSpeed(MSVehicle* const veh, double vPos) const {
68  const double vNext = MSCFModel::finalizeSpeed(veh, vPos);
69  if (myAdaptationFactor != 1.) {
71  vars->levelOfService += (vNext / veh->getLane()->getVehicleMaxSpeed(veh) - vars->levelOfService) / myAdaptationTime * TS;
72  }
73  return vNext;
74 }
75 
76 
77 double
78 MSCFModel_IDM::freeSpeed(const MSVehicle* const veh, double speed, double seen, double maxSpeed, const bool /*onInsertion*/, const CalcReason /*usage*/) const {
79  if (maxSpeed < 0.) {
80  // can occur for ballistic update (in context of driving at red light)
81  return maxSpeed;
82  }
83  const double secGap = getSecureGap(veh, nullptr, maxSpeed, 0, myDecel);
84  double vSafe;
85  if (speed <= maxSpeed) {
86  // accelerate
87  vSafe = _v(veh, 1e6, speed, maxSpeed, veh->getLane()->getVehicleMaxSpeed(veh), false);
88  } else {
89  // decelerate
90  // @note relax gap to avoid emergency braking
91  // @note since the transition point does not move we set the leader speed to 0
92  vSafe = _v(veh, MAX2(seen, secGap), speed, 0, veh->getLane()->getVehicleMaxSpeed(veh), false);
93  }
94  if (seen < secGap) {
95  // avoid overshoot when close to change in speed limit
96  vSafe = MIN2(vSafe, maxSpeed);
97  }
98  //std::cout << SIMTIME << " speed=" << speed << " maxSpeed=" << maxSpeed << " seen=" << seen << " secGap=" << secGap << " vSafe=" << vSafe << "\n";
99  return vSafe;
100 }
101 
102 
103 double
104 MSCFModel_IDM::followSpeed(const MSVehicle* const veh, double speed, double gap2pred, double predSpeed, double predMaxDecel, const MSVehicle* const pred, const CalcReason /*usage*/) const {
105  applyHeadwayAndSpeedDifferencePerceptionErrors(veh, speed, gap2pred, predSpeed, predMaxDecel, pred);
106  return _v(veh, gap2pred, speed, predSpeed, veh->getLane()->getVehicleMaxSpeed(veh));
107 }
108 
109 
110 double
111 MSCFModel_IDM::insertionFollowSpeed(const MSVehicle* const v, double speed, double gap2pred, double predSpeed, double predMaxDecel, const MSVehicle* const pred) const {
112  // see definition of s in _v()
113  double s = MAX2(0., speed * myHeadwayTime + speed * (speed - predSpeed) / myTwoSqrtAccelDecel);
114  if (gap2pred >= s) {
115  // followSpeed always stays below speed because s*s / (gap2pred * gap2pred) > 0. This would prevent insertion with maximum speed at all distances
116  return speed;
117  } else {
118  // we cannot call follow speed directly because it assumes that 'speed'
119  // is the current speed rather than the desired insertion speed.
120  // If the safe speed is much lower than the desired speed, the
121  // followSpeed function would still return a new speed that involves
122  // reasonable braking rather than the actual safe speed (and cause
123  // emergency braking in a subsequent step)
124  const double speed2 = followSpeed(v, speed, gap2pred, predSpeed, predMaxDecel, pred, CalcReason::FUTURE);
125  const double speed3 = followSpeed(v, speed2, gap2pred, predSpeed, predMaxDecel, pred, CalcReason::FUTURE);
126  if (speed2 - speed3 < ACCEL2SPEED(1)) {
127  return speed2;
128  } else {
129 #ifdef DEBUG_INSERTION_SPEED
130  std::cout << SIMTIME << " veh=" << v->getID() << " speed=" << speed << " gap2pred=" << gap2pred << " predSpeed=" << predSpeed << " predMaxDecel=" << predMaxDecel << " pred=" << Named::getIDSecure(pred) << " s=" << s << " speed2=" << speed2 << " speed3=" << speed3 << "\n";
131 #endif
132  return insertionFollowSpeed(v, speed2, gap2pred, predSpeed, predMaxDecel, pred);
133  }
134  }
135 }
136 
137 
138 double
139 MSCFModel_IDM::insertionStopSpeed(const MSVehicle* const veh, double speed, double gap) const {
140  // we want to insert the vehicle in an equilibrium state
141  double result = MSCFModel::insertionStopSpeed(veh, speed, gap);
142  int i = 0;
143  while (result - speed < -ACCEL2SPEED(myDecel) && ++i < 10) {
144  speed = result;
145  result = MSCFModel::insertionStopSpeed(veh, speed, gap);
146  }
147  return result;
148 }
149 
150 
151 double
152 MSCFModel_IDM::stopSpeed(const MSVehicle* const veh, const double speed, double gap, double decel, const CalcReason /*usage*/) const {
153  applyHeadwayPerceptionError(veh, speed, gap);
154  if (gap < 0.01) {
155  return 0;
156  }
157  double result = _v(veh, gap, speed, 0, veh->getLane()->getVehicleMaxSpeed(veh), false);
158  //std::cout << SIMTIME << " stopSpeed speed=" << speed << " gap=" << gap << " decel=" << decel << " result=" << result << "\n";
159  if (gap > 0 && speed < NUMERICAL_EPS && result < NUMERICAL_EPS) {
160  // ensure that stops can be reached:
161  //std::cout << " switching to krauss: " << veh->getID() << " gap=" << gap << " speed=" << speed << " res1=" << result << " res2=" << maximumSafeStopSpeed(gap, speed, false, veh->getActionStepLengthSecs())<< "\n";
162  result = maximumSafeStopSpeed(gap, decel, speed, false, veh->getActionStepLengthSecs());
163  }
164  // avoid overshooting the stop location
165  if (gap >= 0) {
166  result = MIN2(result, DIST2SPEED(gap));
167  //if (result * TS > gap) {
168  // std::cout << "Maximum stop speed exceeded for gap=" << gap << " result=" << result << " veh=" << veh->getID() << " speed=" << speed << " t=" << SIMTIME << "\n";
169  //}
170  }
171 
172  return result;
173 }
174 
175 
177 double
178 MSCFModel_IDM::interactionGap(const MSVehicle* const veh, double vL) const {
179  // Resolve the IDM equation to gap. Assume predecessor has
180  // speed != 0 and that vsafe will be the current speed plus acceleration,
181  // i.e that with this gap there will be no interaction.
182  const double acc = myAccel * (1. - pow(veh->getSpeed() / veh->getLane()->getVehicleMaxSpeed(veh), myDelta));
183  const double vNext = veh->getSpeed() + acc;
184  const double gap = (vNext - vL) * (veh->getSpeed() + vL) / (2 * myDecel) + vL;
185 
186  // Don't allow timeHeadWay < deltaT situations.
187  return MAX2(gap, SPEED2DIST(vNext));
188 }
189 
190 double
191 MSCFModel_IDM::getSecureGap(const MSVehicle* const /*veh*/, const MSVehicle* const /*pred*/, const double speed, const double leaderSpeed, const double /*leaderMaxDecel*/) const {
192  const double delta_v = speed - leaderSpeed;
193  return MAX2(0.0, speed * myHeadwayTime + speed * delta_v / myTwoSqrtAccelDecel);
194 }
195 
196 
197 double
198 MSCFModel_IDM::_v(const MSVehicle* const veh, const double gap2pred, const double egoSpeed,
199  const double predSpeed, const double desSpeed, const bool respectMinGap) const {
200 // this is more or less based on http://www.vwi.tu-dresden.de/~treiber/MicroApplet/IDM.html
201 // and http://arxiv.org/abs/cond-mat/0304337
202 // we assume however constant speed for the leader
203  double headwayTime = myHeadwayTime;
204  if (myAdaptationFactor != 1.) {
206  headwayTime *= myAdaptationFactor + vars->levelOfService * (1. - myAdaptationFactor);
207  }
208  double newSpeed = egoSpeed;
209  double gap = gap2pred;
210  if (respectMinGap) {
211  // gap2pred comes with minGap already subtracted so we need to add it here again
212  gap += myType->getMinGap();
213  }
214 #ifdef DEBUG_V
215  if (DEBUG_COND) {
216  std::cout << SIMTIME << " veh=" << veh->getID() << " gap2pred=" << gap2pred << " egoSpeed=" << egoSpeed << " predSpeed=" << predSpeed << " desSpeed=" << desSpeed << " rMG=" << respectMinGap << " hw=" << headwayTime << "\n";
217  }
218 #endif
219  for (int i = 0; i < myIterations; i++) {
220  const double delta_v = newSpeed - predSpeed;
221  double s = MAX2(0., newSpeed * headwayTime + newSpeed * delta_v / myTwoSqrtAccelDecel);
222  if (respectMinGap) {
223  s += myType->getMinGap();
224  }
225  gap = MAX2(NUMERICAL_EPS, gap); // avoid singularity
226  const double acc = myAccel * (1. - pow(newSpeed / MAX2(NUMERICAL_EPS, desSpeed), myDelta) - (s * s) / (gap * gap));
227 #ifdef DEBUG_V
228  if (DEBUG_COND) {
229  std::cout << " i=" << i << " gap=" << gap << " t=" << myHeadwayTime << " t2=" << headwayTime << " s=" << s << " pow=" << pow(newSpeed / desSpeed, myDelta) << " gapDecel=" << (s * s) / (gap * gap) << " a=" << acc;
230  }
231 #endif
232  newSpeed = MAX2(0.0, newSpeed + ACCEL2SPEED(acc) / myIterations);
233 #ifdef DEBUG_V
234  if (DEBUG_COND) {
235  std::cout << " v2=" << newSpeed << " gLC=" << MSGlobals::gComputeLC << "\n";
236  }
237 #endif
238  //TODO use more realistic position update which takes accelerated motion into account
239  gap -= MAX2(0., SPEED2DIST(newSpeed - predSpeed) / myIterations);
240  }
241  return MAX2(0., newSpeed);
242 }
243 
244 
245 MSCFModel*
247  return new MSCFModel_IDM(vtype, myIDMM);
248 }
#define DEBUG_COND
#define SPEED2DIST(x)
Definition: SUMOTime.h:45
#define ACCEL2SPEED(x)
Definition: SUMOTime.h:51
#define TS
Definition: SUMOTime.h:42
#define SIMTIME
Definition: SUMOTime.h:62
#define DIST2SPEED(x)
Definition: SUMOTime.h:47
@ SUMO_ATTR_CF_IDMM_ADAPT_TIME
@ SUMO_ATTR_CF_IDM_DELTA
@ SUMO_ATTR_CF_IDM_STEPPING
@ SUMO_ATTR_CF_IDMM_ADAPT_FACTOR
@ SUMO_ATTR_COLLISION_MINGAP_FACTOR
T MIN2(T a, T b)
Definition: StdDefs.h:76
T MAX2(T a, T b)
Definition: StdDefs.h:82
double levelOfService
state variable for remembering speed deviation history (lambda)
const int myIterations
The number of iterations in speed calculations.
double stopSpeed(const MSVehicle *const veh, const double speed, double gap, double decel, const CalcReason usage=CalcReason::CURRENT) const
Computes the vehicle's safe speed for approaching a non-moving obstacle (no dawdling)
double minNextSpeed(double speed, const MSVehicle *const veh=0) const
Returns the minimum speed given the current speed (depends on the numerical update scheme and its ste...
double finalizeSpeed(MSVehicle *const veh, double vPos) const
Applies interaction with stops and lane changing model influences.
double followSpeed(const MSVehicle *const veh, double speed, double gap2pred, double predSpeed, double predMaxDecel, const MSVehicle *const pred=0, const CalcReason usage=CalcReason::CURRENT) const
Computes the vehicle's safe speed (no dawdling)
virtual double freeSpeed(const MSVehicle *const veh, double speed, double seen, double maxSpeed, const bool onInsertion=false, const CalcReason usage=CalcReason::CURRENT) const
Computes the vehicle's safe speed without a leader.
~MSCFModel_IDM()
Destructor.
const bool myIDMM
whether the model is IDMM or IDM
double getSecureGap(const MSVehicle *const veh, const MSVehicle *const pred, const double speed, const double leaderSpeed, const double leaderMaxDecel) const
Returns the minimum gap to reserve if the leader is braking at maximum (>=0)
MSCFModel_IDM(const MSVehicleType *vtype, bool idmm)
Constructor.
double insertionFollowSpeed(const MSVehicle *const veh, double speed, double gap2pred, double predSpeed, double predMaxDecel, const MSVehicle *const pred=0) const
Computes the vehicle's safe speed (no dawdling) This method is used during the insertion stage....
const double myAdaptationTime
The IDMM adaptation time tau.
MSCFModel * duplicate(const MSVehicleType *vtype) const
Duplicates the car-following model.
const double myTwoSqrtAccelDecel
A computational shortcut.
const double myAdaptationFactor
The IDMM adaptation factor beta.
const double myDelta
The IDM delta exponent.
double insertionStopSpeed(const MSVehicle *const veh, double speed, double gap) const
Computes the vehicle's safe speed for approaching an obstacle at insertion without constraints due to...
double _v(const MSVehicle *const veh, const double gap2pred, const double mySpeed, const double predSpeed, const double desSpeed, const bool respectMinGap=true) const
double interactionGap(const MSVehicle *const, double vL) const
Returns the maximum gap at which an interaction between both vehicles occurs.
The car-following model abstraction.
Definition: MSCFModel.h:55
void applyHeadwayPerceptionError(const MSVehicle *const veh, double speed, double &gap) const
Overwrites gap by the perceived value obtained from the vehicle's driver state.
Definition: MSCFModel.cpp:1099
virtual double finalizeSpeed(MSVehicle *const veh, double vPos) const
Applies interaction with stops and lane changing model influences. Called at most once per simulation...
Definition: MSCFModel.cpp:187
double myEmergencyDecel
The vehicle's maximum emergency deceleration [m/s^2].
Definition: MSCFModel.h:703
void applyHeadwayAndSpeedDifferencePerceptionErrors(const MSVehicle *const veh, double speed, double &gap, double &predSpeed, double predMaxDecel, const MSVehicle *const pred) const
Overwrites gap2pred and predSpeed by the perceived values obtained from the vehicle's driver state,...
Definition: MSCFModel.cpp:1063
CalcReason
What the return value of stop/follow/free-Speed is used for.
Definition: MSCFModel.h:77
double myCollisionMinGapFactor
The factor of minGap that must be maintained to avoid a collision event.
Definition: MSCFModel.h:707
double myDecel
The vehicle's maximum deceleration [m/s^2].
Definition: MSCFModel.h:701
double maximumSafeStopSpeed(double gap, double decel, double currentSpeed, bool onInsertion=false, double headway=-1, bool relaxEmergency=true) const
Returns the maximum next velocity for stopping within gap.
Definition: MSCFModel.cpp:774
double myAccel
The vehicle's maximum acceleration [m/s^2].
Definition: MSCFModel.h:698
const MSVehicleType * myType
The type to which this model definition belongs to.
Definition: MSCFModel.h:695
double myHeadwayTime
The driver's desired time headway (aka reaction time tau) [s].
Definition: MSCFModel.h:710
virtual double insertionStopSpeed(const MSVehicle *const veh, double speed, double gap) const
Computes the vehicle's safe speed for approaching an obstacle at insertion without constraints due to...
Definition: MSCFModel.cpp:343
static bool gSemiImplicitEulerUpdate
Definition: MSGlobals.h:53
static bool gComputeLC
whether the simulationLoop is in the lane changing phase
Definition: MSGlobals.h:137
double getVehicleMaxSpeed(const SUMOTrafficObject *const veh) const
Returns the lane's maximum speed, given a vehicle's speed limit adaptation.
Definition: MSLane.h:566
Representation of a vehicle in the micro simulation.
Definition: MSVehicle.h:77
double getActionStepLengthSecs() const
Returns the vehicle's action step length in secs, i.e. the interval between two action points.
Definition: MSVehicle.h:536
MSCFModel::VehicleVariables * getCarFollowVariables() const
Returns the vehicle's car following model variables.
Definition: MSVehicle.h:995
double getSpeed() const
Returns the vehicle's current speed.
Definition: MSVehicle.h:493
const MSLane * getLane() const
Returns the lane the vehicle is on.
Definition: MSVehicle.h:584
The car-following model and parameter.
Definition: MSVehicleType.h:63
double getMinGap() const
Get the free space in front of vehicles of this class.
const SUMOVTypeParameter & getParameter() const
static std::string getIDSecure(const T *obj, const std::string &fallBack="NULL")
get an identifier for Named-like object which may be Null
Definition: Named.h:67
const std::string & getID() const
Returns the id.
Definition: Named.h:74
double getCFParam(const SumoXMLAttr attr, const double defaultValue) const
Returns the named value from the map, or the default if it is not contained there.