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1   package org.opentrafficsim.road.gtu.lane.tactical.following;
2   
3   import java.io.Serializable;
4   
5   import org.djunits.unit.AccelerationUnit;
6   import org.djunits.unit.DurationUnit;
7   import org.djunits.unit.LengthUnit;
8   import org.djunits.unit.SpeedUnit;
9   import org.djunits.value.vdouble.scalar.Acceleration;
10  import org.djunits.value.vdouble.scalar.Duration;
11  import org.djunits.value.vdouble.scalar.Length;
12  import org.djunits.value.vdouble.scalar.Speed;
13  import org.opentrafficsim.base.parameters.ParameterException;
14  import org.opentrafficsim.base.parameters.Parameters;
15  import org.opentrafficsim.road.gtu.lane.perception.PerceptionIterable;
16  import org.opentrafficsim.road.gtu.lane.perception.headway.Headway;
17  import org.opentrafficsim.road.network.speed.SpeedLimitInfo;
18  import org.opentrafficsim.road.network.speed.SpeedLimitTypes;
19  
20  /**
21   * IDMPlus implements the <i>Integrated Lane Change Model with Relaxation and Synchronization</i> as published by Wouter J.
22   * Schakel, Bart van Arem, Member, IEEE, and Bart D. Netten. 2012. <br>
23   * There are two nasty type setting errors in equation 7 in this published version of the paper. Both times an equals sign
24   * (<cite>=</cite>) after <cite>a<sub>gain</sub></cite> should <b>not</b> be there.
25   * <p>
26   * Copyright (c) 2013-2024 Delft University of Technology, PO Box 5, 2600 AA, Delft, the Netherlands. All rights reserved. <br>
27   * BSD-style license. See <a href="https://opentrafficsim.org/docs/license.html">OpenTrafficSim License</a>.
28   * </p>
29   * @author <a href="https://tudelft.nl/staff/p.knoppers-1">Peter Knoppers</a>
30   */
31  public class IdmPlusOld extends AbstractGtuFollowingModelMobil implements Serializable
32  {
33      /** */
34      private static final long serialVersionUID = 20140704L;
35  
36      /** Preferred net longitudinal distance when stopped [m]. */
37      private final Length s0;
38  
39      /** Longitudinal acceleration [m/s^2]. */
40      private Acceleration a;
41  
42      /** Longitudinal deceleration [m/s^2]. (Should be a positive value even though it is a <b>de</b>celeration.) */
43      private final Acceleration b;
44  
45      /** Safe time headway. */
46      private Duration tSafe;
47  
48      /**
49       * Mean speed limit adherence (1.0: mean free speed equals the speed limit; 1.1: mean free speed equals 110% of the speed
50       * limit, etc.).
51       */
52      private double delta;
53  
54      /**
55       * Default step size used by IDMPlus (not defined in the paper, but 0.5s is a reasonable trade-off between computational
56       * speed and accuracy).
57       */
58      private static final Duration DEFAULT_STEP_SIZE = new Duration(0.5, DurationUnit.SECOND);
59  
60      /**
61       * Construct a new IDM+ car following model with reasonable values (reasonable for passenger cars). <br>
62       * These values are from <b>Integrated Lane Change Model with Relaxation and Synchronization</b> by Wouter J. Schakel,
63       * Victor L. Knoop, and Bart van Arem, published in Transportation Research Record: Journal of the Transportation Research
64       * Board, No. 2316, Transportation Research Board of the National Academies, Washington, D.C., 2012, pp. 47–57.
65       */
66      public IdmPlusOld()
67      {
68          this.a = new Acceleration(1.56, AccelerationUnit.METER_PER_SECOND_2);
69          this.b = new Acceleration(2.09, AccelerationUnit.METER_PER_SECOND_2);
70          this.s0 = new Length(3, LengthUnit.METER);
71          this.tSafe = new Duration(1.2, DurationUnit.SECOND);
72          this.delta = 1d;
73      }
74  
75      /**
76       * Construct a new IDMPlus car following model.
77       * @param a Acceleration; the maximum acceleration of a stationary vehicle (normal value is 1 m/s/s)
78       * @param b Acceleration; the maximum deemed-safe deceleration (this is a positive value)
79       * @param s0 Length; the minimum stationary headway
80       * @param tSafe Duration; the minimum time-headway
81       * @param delta double; the speed limit adherence (1.0; mean free speed equals the speed limit; 1.1: mean free speed equals
82       *            110% of the speed limit; etc.)
83       */
84      public IdmPlusOld(final Acceleration a, final Acceleration b, final Length s0, final Duration tSafe, final double delta)
85      {
86          this.a = a;
87          this.b = b;
88          this.s0 = s0;
89          this.tSafe = tSafe;
90          this.delta = delta;
91      }
92  
93      /**
94       * Desired speed (taking into account the urge to drive a little faster or slower than the posted speed limit).
95       * @param speedLimit Speed; the speed limit
96       * @param followerMaximumSpeed Speed; the maximum speed that the follower can drive
97       * @return DoubleScalarRel&lt;SpeedUnit&gt;; the desired speed
98       */
99      private Speed vDes(final Speed speedLimit, final Speed followerMaximumSpeed)
100     {
101         return new Speed(Math.min(this.delta * speedLimit.getSI(), followerMaximumSpeed.getSI()), SpeedUnit.SI);
102     }
103 
104     /** {@inheritDoc} */
105     @Override
106     public final Acceleration computeAcceleration(final Speed followerSpeed, final Speed followerMaximumSpeed,
107             final Speed leaderSpeed, final Length headway, final Speed speedLimit)
108     {
109         return computeAcceleration(followerSpeed, followerMaximumSpeed, leaderSpeed, headway, speedLimit, DEFAULT_STEP_SIZE);
110     }
111 
112     /** {@inheritDoc} */
113     @Override
114     public final Acceleration computeAcceleration(final Speed followerSpeed, final Speed followerMaximumSpeed,
115             final Speed leaderSpeed, final Length headway, final Speed speedLimit, final Duration stepSize)
116     {
117         // TODO maxDistance
118         double leftComponent = 1 - Math.pow(followerSpeed.getSI() / vDes(speedLimit, followerMaximumSpeed).getSI(), 4);
119         if (Double.isNaN(leftComponent))
120         {
121             leftComponent = 0;
122         }
123         // limit deceleration for free term (= leftComponent)
124         if (leftComponent * this.a.si < -0.5)
125         {
126             leftComponent = -0.5 / this.a.si;
127         }
128         Acceleration logWeightedAccelerationTimes2 =
129                 new Acceleration(Math.sqrt(this.a.getSI() * this.b.getSI()), AccelerationUnit.SI).times(2);
130         // don't forget the times 2
131 
132         Speed dV = followerSpeed.minus(leaderSpeed);
133         Length sStar = this.s0.plus(followerSpeed.times(this.tSafe))
134                 .plus(dV.times(followerSpeed.divide(logWeightedAccelerationTimes2)));
135 
136         /*-
137         this.s0.plus(Calc.speedTimesTime(followerSpeed, this.tSafe)).plus(
138         Calc.speedTimesTime(dV, Calc.speedDividedByAcceleration(followerSpeed, logWeightedAccelerationTimes2)));
139          */
140         if (sStar.getSI() < 0)
141         {
142             // Negative value should be treated as 0? This is NOT in the LMRS paper
143             // Without this "fix" a higher speed of the leader may cause a lower acceleration (which is crazy)
144             sStar = new Length(0, LengthUnit.SI);
145         }
146 
147         double rightComponent = 1 - Math.pow(sStar.getSI() / headway.getSI(), 2);
148         Acceleration newAcceleration = new Acceleration(this.a).times(Math.min(leftComponent, rightComponent));
149         if (newAcceleration.getSI() * stepSize.getSI() + followerSpeed.getSI() < 0)
150         {
151             newAcceleration = new Acceleration(-followerSpeed.getSI() / stepSize.getSI(), AccelerationUnit.SI);
152         }
153         return newAcceleration;
154     }
155 
156     /** {@inheritDoc} */
157     @Override
158     public final Duration getStepSize()
159     {
160         return DEFAULT_STEP_SIZE;
161     }
162 
163     /** {@inheritDoc} */
164     @Override
165     public final Acceleration getMaximumSafeDeceleration()
166     {
167         return this.b;
168     }
169 
170     /** {@inheritDoc} */
171     @Override
172     public final String getName()
173     {
174         return "IDM+";
175     }
176 
177     /** {@inheritDoc} */
178     @Override
179     public final String getLongName()
180     {
181         return String.format("%s (a=%.1fm/s\u00b2, b=%.1fm/s\u00b2, s0=%.1fm, tSafe=%.1fs, delta=%.2f)", getName(),
182                 this.a.getSI(), this.b.getSI(), this.s0.getSI(), this.tSafe.getSI(), this.delta);
183     }
184 
185     /** {@inheritDoc} */
186     @Override
187     public final void setA(final Acceleration a)
188     {
189         this.a = a;
190     }
191 
192     /** {@inheritDoc} */
193     @Override
194     public final void setT(final Duration t)
195     {
196         this.tSafe = t;
197     }
198 
199     /** {@inheritDoc} */
200     @Override
201     public final void setFspeed(final double fSpeed)
202     {
203         this.delta = fSpeed;
204     }
205 
206     // The following is inherited from CarFollowingModel
207 
208     /** {@inheritDoc} */
209     @Override
210     public final Speed desiredSpeed(final Parameters parameters, final SpeedLimitInfo speedInfo) throws ParameterException
211     {
212         throw new UnsupportedOperationException("Old car-following model does not support desired speed.");
213     }
214 
215     /** {@inheritDoc} */
216     @Override
217     public final Length desiredHeadway(final Parameters parameters, final Speed speed) throws ParameterException
218     {
219         throw new UnsupportedOperationException("Old car-following model does not support desired headway.");
220     }
221 
222     /** {@inheritDoc} */
223     @Override
224     public final Acceleration followingAcceleration(final Parameters parameters, final Speed speed,
225             final SpeedLimitInfo speedInfo, final PerceptionIterable<? extends Headway> leaders) throws ParameterException
226     {
227         Length headway;
228         Speed leaderSpeed;
229         if (leaders.isEmpty())
230         {
231             headway = new Length(Double.MAX_VALUE, LengthUnit.SI);
232             leaderSpeed = speed;
233         }
234         else
235         {
236             Headway leader = leaders.first();
237             headway = leader.getDistance();
238             leaderSpeed = leader.getSpeed();
239         }
240         return this.computeAcceleration(speed, speedInfo.getSpeedInfo(SpeedLimitTypes.MAX_VEHICLE_SPEED), leaderSpeed, headway,
241                 speedInfo.getSpeedInfo(SpeedLimitTypes.FIXED_SIGN));
242     }
243 
244     /** {@inheritDoc} */
245     @Override
246     public final String toString()
247     {
248         return "IDMPlusOld [s0=" + this.s0 + ", a=" + this.a + ", b=" + this.b + ", tSafe=" + this.tSafe + ", delta="
249                 + this.delta + ", stepSize=" + DEFAULT_STEP_SIZE + "]";
250     }
251 
252 }