Traffic flow dynamics: data, models and simulation
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIII, 503 S. Ill., graph. Darst. |
| ISBN: | 9783642324598 |
Staff View
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Record in the Search Index
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CONTENTS
1 INTRODUCTION 1
PART I TRAFFIC DATA
2 TRAJECTORY AND FLOATING-CAR DATA 7
2.1 DATA COLLECTION METHODS 7
2.2 TIME-SPACE DIAGRAMS 9
PROBLEMS 10
3 CROSS-SECTIONAL DATA 13
3.1 MICROSCOPIC MEASUREMENT: SINGLE-VEHICLE DATA 13
3.2 AGGREGATED DATA 15
3.3 ESTIMATING SPATIAL QUANTITIES FROM CROSS-SECTIONAL DATA 17
3.3.1 TRAFFIC DENSITY 17
3.3.2 SPACE MEAN SPEED 21
3.4 DETERMINING SPEED FROM SINGLE-LOOP DETECTORS 22
PROBLEMS 23
4 REPRESENTATION OF CROSS-SECTIONAL DATA 25
4.1 TIME SERIES OF MACROSCOPIC QUANTITIES 25
4.2 SPEED-DENSITY RELATION 27
4.3 DISTRIBUTION OF TIME GAPS 30
4.4 FLOW-DENSITY DIAGRAM 31
4.5 SPEED-FLOW DIAGRAM 35
PROBLEMS 35
5 SPATIOTEMPORAL RECONSTRUCTION OF THE TRAFFIC STATE 37
5.1 SPATIOTEMPORAL INTERPOLATION 37
5.2 ADAPTIVE SMOOTHING METHOD 40
VII
HTTP://D-NB.INFO/1024509672
VIII CONTENTS
5.2.1 CHARACTERISTIC PROPAGATION VELOCITIES 41
5.2.2 NONLINEAR ADAPTIVE SPEED FILTER 42
5.2.3 PARAMETERS 43
5.2.4 TESTING THE PREDICTIVE POWER: VALIDATION 43
5.2.5 TESTING THE ROBUSTNESS: SENSITIVITY ANALYSIS 44
5.3 DATA FUSION 45
5.3.1 MODEL-BASED VALIDATION OF A DATA
FUSION PROCEDURE 47
5.3.2 WEIGHTING THE DATA SOURCES 48
PROBLEMS 50
PART II TRAFFIC FLOW MODELING
6 GENERAL ASPECTS 55
6.1 HISTORY AND SCOPE OF TRAFFIC FLOW THEORY 55
6.2 MODEL CLASSIFICATION 56
6.2.1 AGGREGATION LEVEL 56
6.2.2 MATHEMATICAL STRUCTURE 59
6.2.3 OTHER CRITERIA 61
6.3 NON-MOTORIZED TRAFFIC 63
PROBLEMS 65
7 CONTINUITY EQUATION 67
7.1 TRAFFIC DENSITY AND HYDRODYNAMIC FLOW-DENSITY RELATION . 67
7.2 CONTINUITY EQUATIONS FOR SEVERAL ROAD PROFILES 69
7.2.1 HOMOGENEOUS ROAD SECTION 70
7.2.2 SECTIONS WITH ON-AND OFF-RAMPS 71
7.2.3 CHANGES IN THE NUMBER OF LANES 72
7.2.4 DISCUSSION 74
7.3 CONTINUITY EQUATION FROM THE DRIVER'S PERSPECTIVE 75
7.4 LAGRANGIAN DESCRIPTION 77
PROBLEMS 79
8 THE LIGHTHILL-WHITHAM-RICHARDS MODEL 81
8.1 MODEL EQUATIONS 81
8.2 PROPAGATION OF DENSITY VARIATIONS 83
8.3 SHOCK WAVES 84
8.3.1 FORMATION 84
8.3.2 DERIVATION OF THE PROPAGATION VELOCITY 86
8.3.3 VEHICLE SPEED VERSUS PROPAGATION VELOCITIES 87
8.4 NUMERICAL SOLUTION 90
8.5 LWR MODELS WITH TRIANGULAR FUNDAMENTAL DIAGRAM 91
8.5.1 MODEL PARAMETERS 92
8.5.2 CHARACTERISTIC PROPERTIES 93
CONTENTS IX
8.5.3 MODEL FORMULATION WITH MEASURABLE QUANTITIES 96
8.5.4 RELATION TO CAR-FOLLOWING MODELS 97
8.5.5 DEFINITION OF ROAD SECTIONS 99
8.5.6 MODELING BOTTLENECKS 100
8.5.7 NUMERICAL SOLUTION OF THE CELL-TRANSMISSION
MODEL 105
8.5.8 SOLVING THE SECTION-BASED MODEL 108
8.5.9 EXAMPLES 113
8.6 DIFFUSION AND BURGERS' EQUATION 121
PROBLEMS 123
9 MACROSCOPIC MODELS WITH DYNAMIC VELOCITY 127
9.1 MACROSCOPIC ACCELERATION FUNCTION 127
9.2 PROPERTIES OF THE ACCELERATION FUNCTION 130
9.2.1 STEADY-STATE FLOW 130
9.2.2 PLAUSIBILITY CONDITIONS 130
9.3 GENERAL FORM OF THE MODEL EQUATIONS 132
9.3.1 LOCAL SPEED ADAPTATION 132
9.3.2 NONLOCAL ANTICIPATION 133
9.3.3 LIMITING CASE OF ZERO ADAPTATION TIME 133
9.3.4 PRESSURE TERM 134
9.3.5 DIFFUSION TERMS 136
9.3.6 ON- AND OFF-RAMP TERMS 137
9.4 OVERVIEW OF SECOND-ORDER MODELS 137
9.4.1 PAYNE'S MODEL 138
9.4.2 KERNER-KONHAUSER MODEL 140
9.4.3 GAS-KINETIC-BASED TRAFFIC MODEL 142
9.5 NUMERICAL SOLUTION 145
9.5.1 OVERVIEW 145
9.5.2 UPWIND AND MCCORMACK SCHEME 147
9.5.3 APPROXIMATING NONLOCALITIES 148
9.5.4 CRITERIA FOR SELECTING A NUMERICAL
INTEGRATION SCHEME 148
9.5.5 NUMERICAL INSTABILITIES 150
9.5.6 NUMERICAL DIFFUSION 153
PROBLEMS 153
10 ELEMENTARY CAR-FOLLOWING MODELS 157
10.1 GENERAL REMARKS 157
10.2 MATHEMATICAL DESCRIPTION 159
10.3 STEADY STATE EQUILIBRIUM AND THE FUNDAMENTAL DIAGRAM 162
10.4 HETEROGENEOUS TRAFFIC 164
10.5 FACT SHEET OF DYNAMICAL MODEL CHARACTERISTICS 165
10.5.1 HIGHWAY SCENARIO 165
10.5.2 CITY SCENARIO 168
X CONTENTS
10.6 OPTIMAL VELOCITY MODEL 168
10.7 FULL VELOCITY DIFFERENCE MODEL 171
10.8 NEWELL'S CAR-FOLLOWING MODEL 173
PROBLEMS 178
11 CAR-FOLLOWING MODELS BASED ON DRIVING STRATEGIES 181
11.1 MODEL CRITERIA 181
11.2 GIPPS' MODEL 183
11.2.1 SAFE SPEED 183
11.2.2 MODEL EQUATION 184
11.2.3 STEADY-STATE EQUILIBRIUM 185
11.2.4 MODEL CHARACTERISTICS 185
11.3 INTELLIGENT DRIVER MODEL 187
11.3.1 REQUIRED MODEL PROPERTIES 188
11.3.2 MATHEMATICAL DESCRIPTION 188
11.3.3 PARAMETERS 189
11.3.4 INTELLIGENT BRAKING STRATEGY 191
11.3.5 DYNAMICAL PROPERTIES 193
11.3.6 STEADY-STATE EQUILIBRIUM 195
11.3.7 IMPROVED ACCELERATION FUNCTION 196
11.3.8 MODEL FOR ADAPTIVE CRUISE CONTROL 198
PROBLEMS 202
12 MODELING HUMAN ASPECTS OF DRIVING BEHAVIOR 205
12.1 MAN VERSUS MACHINE 205
12.2 REACTION TIMES 207
12.3 ESTIMATION ERRORS AND IMPERFECT DRIVING CAPABILITIES 210
12.3.1 MODELING ESTIMATION ERRORS 210
12.3.2 MODELING IMPERFECT DRIVING 213
12.4 TEMPORAL ANTICIPATION 214
12.5 MULTI-VEHICLE ANTICIPATION 215
12.6 BRAKE LIGHTS AND FURTHER EXOGENOUS FACTORS 218
12.7 LOCAL TRAFFIC CONTEXT 219
12.8 ACTION POINTS 220
12.9 THE WIEDEMANN CAR-FOLLOWING MODEL 221
PROBLEMS 223
13 CELLULAR AUTOMATA 225
13.1 GENERAL REMARKS 225
13.2 NAGEL-SCHRECKENBERG MODEL 229
13.3 REFINED MODELS 232
13.3.1 BARLOVIC MODEL 232
13.3.2 KKW MODEL 233
CONTENTS XI
13.4 COMPARISON OF CELLULAR AUTOMATA
AND CAR-FOLLOWING MODELS 236
PROBLEMS 237
14 LANE-CHANGING AND OTHER DISCRETE-CHOICE SITUATIONS 239
14.1 OVERVIEW 239
14.2 GENERAL DECISION MODEL 240
14.3 LANE CHANGES 242
14.3.1 SAFETY CRITERION 242
14.3.2 INCENTIVE CRITERION FOR EGOISTIC DRIVERS 243
14.3.3 LANE CHANGES WITH COURTESY: MOBIL MODEL 244
14.3.4 APPLICATION TO CAR-FOLLOWING MODELS 245
14.4 APPROACHING A TRAFFIC LIGHT 250
14.5 ENTERING A PRIORITY ROAD 252
PROBLEMS 253
15 STABILITY ANALYSIS 257
15.1 FORMATION OF STOP-AND-GO WAVES 257
15.2 MATHEMATICAL CLASSIFICATION OF TRAFFIC FLOW INSTABILITIES 259
15.3 LOCAL INSTABILITY 267
15.4 STRING INSTABILITY 272
15.4.1 STRING INSTABILITY CONDITIONS FOR
CAR-FOLLOWING MODELS 272
15.4.2 FLOW STABILITY OF MACROSCOPIC MODELS 279
15.4.3 APPLICATION TO SPECIFIC MODELS 283
15.5 CONVECTIVE INSTABILITY AND SIGNAL VELOCITIES 288
15.6 NONLINEAR INSTABILITY AND THE STABILITY DIAGRAM 294
15.7 STABILITY CLASSES 296
15.8 SHORT-WAVELENGTH COLLECTIVE INSTABILITIES 298
PROBLEMS 299
16 CALIBRATION AND VALIDATION 303
16.1 GENERAL ASPECTS 304
16.1.1 MATHEMATICAL PRINCIPLES 304
16.1.2 NONLINEAR OPTIMIZATION 307
16.1.3 ASSESSING MODELS 311
16.1.4 IMPLEMENTING AND RUNNING A CALIBRATION 313
16.2 CALIBRATION TO MICROSCOPIC OBSERVATIONS 314
16.2.1 DATA PREPARATION 315
16.2.2 GLOBAL APPROACH 318
16.2.3 LOCAL APPROACH 321
16.3 CALIBRATION TO MACROSCOPIC OBSERVATIONS 325
16.3.1 FITTING LOCAL PROPERTIES OF TRAFFIC FLOW 326
16.3.2 CALIBRATION TO GLOBAL PROPERTIES 328
X
JJ CONTENTS
16.4 VALIDATION 333
PROBLEMS 337
17 THE PHASE DIAGRAM OF CONGESTED TRAFFIC STATES 339
17.1 FROM RING ROADS TO OPEN SYSTEMS 339
17.2 ANALYSIS OF TRAFFIC PATTERNS: DYNAMIC PHASE DIAGRAM 340
17.2.1 STABILITY CLASS 1 342
17.2.2 STABILITY CLASS 2 345
17.2.3 STABILITY CLASS 3 346
17.3 SIMULATING CONGESTED TRAFFIC PATTERNS
AND THE PHASE DIAGRAM 347
17.4 REALITY CHECK: OBSERVED PATTERNS OF TRAFFIC JAMS 350
PROBLEMS 350
PART III APPLICATIONS OF TRAFFIC FLOW THEORY
18 TRAFFIC FLOW BREAKDOWN AND TRAFFIC-STATE RECOGNITION 355
18.1 TRAFFIC FLOW BREAKDOWN: THREE INGREDIENTS
TO MAKE A TRAFFIC JAM 355
18.2 DO PHANTOM TRAFFIC JAMS EXIST? 360
18.3 STYLIZED FACTS OF CONGESTED TRAFFIC 361
18.4 EMPIRICAL REALITY: COMPLEX PATTERNS 363
18.5 FUNDAMENTALS OF TRAFFIC STATE ESTIMATION 364
PROBLEMS 365
19 TRAVEL TIME ESTIMATION 367
19.1 DEFINITIONS OF TRAVEL TIME 367
19.2 THE METHOD OF TRAJECTORIES 368
19.3 THE METHOD OF ACCUMULATED VEHICLE COUNTS 369
19.4 A HYBRID METHOD 371
19.5 VIRTUAL STATIONARY DETECTORS 373
19.6 VIRTUAL TRAJECTORIES 373
19.7 INSTANTANEOUS TRAVEL TIME YY.
375
PROBLEMS 376
20 FUEL CONSUMPTION AND EMISSIONS 379
20.1 OVERVIEW 379
20.1.1 MACROSCOPIC MODELS 380
20.1.2 MICROSCOPIC MODELS 382
20.1.3 RELATION BETWEEN FUEL CONSUMPTION
AND CO2 EMISSIONS 383
CONTENTS XIII
20.2 SPEED-PROFILE EMISSION MODELS 383
20.3 MODAL EMISSION MODELS 385
20.3.1 GENERAL REMARKS 385
20.3.2 PHENOMENOLOGICAL MODELS 386
20.3.3 LOAD-BASED MODELS 387
20.4 PHYSICS-BASED MODAL CONSUMPTION MODEL 388
20.4.1 DRIVING RESISTANCE 388
20.4.2 ENGINE POWER 390
20.4.3 CONSUMPTION RATE 391
20.4.4 CHARACTERISTIC MAP FOR ENGINE EFFICIENCY 392
20.4.5 OUTPUT QUANTITIES 394
20.4.6 AGGREGATION TO A MACROSCOPIC MODAL
CONSUMPTION MODEL 397
PROBLEMS 397
21 MODEL-BASED TRAFFIC FLOW OPTIMIZATION 403
21.1 BASIC PRINCIPLES 403
21.2 SPEED LIMITS 405
21.3 RAMP METERING 407
21.4 DYNAMIC ROUTING 411
21.5 EFFICIENT DRIVING BEHAVIOR AND ADAPTIVE CRUISE CONTROL 412
21.6 FURTHER LOCAL TRAFFIC REGULATIONS 416
21.7 OBJECTIVE FUNCTIONS FOR TRAFFIC FLOW OPTIMIZATION 417
21.7.1 SETTING UP THE FRAME 417
21.7.2 CONSTRAINING CONDITIONS 418
21.7.3 EXAMPLES 419
SOLUTIONS TO THE PROBLEMS 423
INDEX 495 |
| any_adam_object | 1 |
| author | Treiber, Martin Kesting, Arne |
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| discipline | Bauingenieurwesen Mathematik Verkehrstechnik Verkehr / Transport |
| format | Book |
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| publisher | Springer |
| record_format | marc |
| spelling | Treiber, Martin Verfasser (DE-588)133758400 aut Traffic flow dynamics data, models and simulation Martin Treiber ; Arne Kesting Berlin [u.a.] Springer 2013 XIII, 503 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Verkehrsablauf (DE-588)4062902-8 gnd rswk-swf Verkehrssystem (DE-588)4187835-8 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Verkehrsmodell (DE-588)4593441-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Verkehrssystem (DE-588)4187835-8 s Verkehrsablauf (DE-588)4062902-8 s Verkehrsmodell (DE-588)4593441-1 s Simulation (DE-588)4055072-2 s DE-604 Kesting, Arne Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-32460-4 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4091040&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025887810&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Treiber, Martin Kesting, Arne Traffic flow dynamics data, models and simulation Verkehrsablauf (DE-588)4062902-8 gnd Verkehrssystem (DE-588)4187835-8 gnd Simulation (DE-588)4055072-2 gnd Verkehrsmodell (DE-588)4593441-1 gnd |
| subject_GND | (DE-588)4062902-8 (DE-588)4187835-8 (DE-588)4055072-2 (DE-588)4593441-1 (DE-588)4123623-3 |
| title | Traffic flow dynamics data, models and simulation |
| title_auth | Traffic flow dynamics data, models and simulation |
| title_exact_search | Traffic flow dynamics data, models and simulation |
| title_full | Traffic flow dynamics data, models and simulation Martin Treiber ; Arne Kesting |
| title_fullStr | Traffic flow dynamics data, models and simulation Martin Treiber ; Arne Kesting |
| title_full_unstemmed | Traffic flow dynamics data, models and simulation Martin Treiber ; Arne Kesting |
| title_short | Traffic flow dynamics |
| title_sort | traffic flow dynamics data models and simulation |
| title_sub | data, models and simulation |
| topic | Verkehrsablauf (DE-588)4062902-8 gnd Verkehrssystem (DE-588)4187835-8 gnd Simulation (DE-588)4055072-2 gnd Verkehrsmodell (DE-588)4593441-1 gnd |
| topic_facet | Verkehrsablauf Verkehrssystem Simulation Verkehrsmodell Lehrbuch |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=4091040&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025887810&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT treibermartin trafficflowdynamicsdatamodelsandsimulation AT kestingarne trafficflowdynamicsdatamodelsandsimulation |