Kinetic theory of vehicular traffic:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Elsevier
1971
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX,100 S. |
| ISBN: | 0444000828 |
Staff View
MARC
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| 245 | 1 | 0 | |a Kinetic theory of vehicular traffic |c by Ilya Prigogine and Robert Herman |
| 264 | 1 | |a New York |b Elsevier |c 1971 | |
| 300 | |a XIX,100 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 650 | 7 | |a stratégie |2 inriac | |
| 650 | 7 | |a théorie stabilité |2 inriac | |
| 650 | 7 | |a trafic |2 inriac | |
| 650 | 7 | |a équation cinétique |2 inriac | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Motion | |
| 650 | 4 | |a Statistical physics | |
| 650 | 4 | |a Traffic engineering |x Mathematical models | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
Introduction xiii
1 Basic Concepts 1
1.1 Flow Concentration Diagram 1
1.2 Follow the Leader Model and the
Flow Concentration Diagram 7
2 Continuum Hydrodynamic Theory 11
2.1 Kinematic Waves 11
2.2 Discussion of the Hydrodynamic Approach 15
3 Kinetic Equation 17
3.1 Low Density Traffic 17
3.2 Desired Speed Distribution and Relaxation Time 19
3.3 Time Scales 22
3.4 Kinetic Equation and Interactions 23
3.5 Structure of the Kinetic Equation and Invariants 27
3.6 Adjustments 29
3.7 Appendix 32
4 Solution of the Kinetic Equation:
Individual and Collective Flow 37
4.1 Kinetic Equation for Homogeneous Time Independent
Situations 37
4.2 Individual and Collective Flow 39
4.3 Low Density Traffic 41
4.4 Numerical Solution of the Kinetic Equation 42
4.5 Transition between Individual and Collective Flow 51
viii Contents
5 Statistical Hydrodynamics and Stability Theory 55
5.1 Local Steady State 55
5.2 Formulation of the Stability Problem 57
5.3 Dispersion and Absorption of Kinematic Waves 59
5.4 Solution of the Linearized Kinetic Equation 61
5.5 Characteristic Stability of a Traffic Convoy 65
5.6 Comments on Perturbation Dependent Stability 66
5.7 Diffusion Equation for Traffic Flow 68
5.8 Concentration Dependence of the Diffusion Coefficient 71
5.9 Short Wavelength Behavior of Kinematic Waves 73
5.10 Contribution from Branch Cuts 76
5.11 Limitations of the Local Steady State Theory 78
6 Traffic Flow and Games of Strategy 80
6.1 Desired Speed Distribution Function and Games of
Strategy 80
6.2 Rational Strategy 81
6.3 Example of Rational Strategy and Adjustment 83
6.4 Adaptive Behavior and Collective Flow 87
6.5 General Comments 87
6.6 Appendix 88
Epilogue 91
References 93
Author Index 97
Subject Index 99
|
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| author | Prigogine, Ilya 1917-2003 Herman, Robert |
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| bvnumber | BV003099274 |
| callnumber-first | H - Social Science |
| callnumber-label | HE333 |
| callnumber-raw | HE333 |
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| callnumber-subject | HE - Transportation and Communications |
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| dewey-full | 388.3/01/84 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 388 - Transportation |
| dewey-raw | 388.3/01/84 |
| dewey-search | 388.3/01/84 |
| dewey-sort | 3388.3 11 284 |
| dewey-tens | 380 - Commerce, communications, transportation |
| discipline | Physik Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV003099274 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:53:36Z |
| institution | BVB |
| isbn | 0444000828 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001943481 |
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| physical | XIX,100 S. |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Elsevier |
| record_format | marc |
| spelling | Prigogine, Ilya 1917-2003 Verfasser (DE-588)11883567X aut Kinetic theory of vehicular traffic by Ilya Prigogine and Robert Herman New York Elsevier 1971 XIX,100 S. txt rdacontent n rdamedia nc rdacarrier hydrodynamique inriac stratégie inriac théorie stabilité inriac trafic inriac équation cinétique inriac Mathematisches Modell Motion Statistical physics Traffic engineering Mathematical models Verkehrsplanung (DE-588)4062954-5 gnd rswk-swf Verkehrsplanung (DE-588)4062954-5 s DE-604 Herman, Robert Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001943481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prigogine, Ilya 1917-2003 Herman, Robert Kinetic theory of vehicular traffic hydrodynamique inriac stratégie inriac théorie stabilité inriac trafic inriac équation cinétique inriac Mathematisches Modell Motion Statistical physics Traffic engineering Mathematical models Verkehrsplanung (DE-588)4062954-5 gnd |
| subject_GND | (DE-588)4062954-5 |
| title | Kinetic theory of vehicular traffic |
| title_auth | Kinetic theory of vehicular traffic |
| title_exact_search | Kinetic theory of vehicular traffic |
| title_full | Kinetic theory of vehicular traffic by Ilya Prigogine and Robert Herman |
| title_fullStr | Kinetic theory of vehicular traffic by Ilya Prigogine and Robert Herman |
| title_full_unstemmed | Kinetic theory of vehicular traffic by Ilya Prigogine and Robert Herman |
| title_short | Kinetic theory of vehicular traffic |
| title_sort | kinetic theory of vehicular traffic |
| topic | hydrodynamique inriac stratégie inriac théorie stabilité inriac trafic inriac équation cinétique inriac Mathematisches Modell Motion Statistical physics Traffic engineering Mathematical models Verkehrsplanung (DE-588)4062954-5 gnd |
| topic_facet | hydrodynamique stratégie théorie stabilité trafic équation cinétique Mathematisches Modell Motion Statistical physics Traffic engineering Mathematical models Verkehrsplanung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001943481&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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