Modeling dynamic transportation networks: an intelligent transportation system oriented approach
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| Previous Title: | Ran, Bin Dynamic urban transportation network models |
|---|---|
| Main Authors: | , |
| Format: | Book |
| Language: | German |
| Published: |
Berlin [u.a.]
Springer
1996
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| Edition: | 2., rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 356 S. graph. Darst. |
| ISBN: | 3540611398 |
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| 245 | 1 | 0 | |a Modeling dynamic transportation networks |b an intelligent transportation system oriented approach |c Bin Ran ; David Boyce |
| 250 | |a 2., rev. ed. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
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Record in the Search Index
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| adam_text | Contents
I Dynamic Transportation Network Analysis 1
1 Introduction 1
1.1 Requirements for Dynamic Modeling 2
1.2 Urban Transportation Network Analysis 4
1.3 Overview of Dynamic Network Models 6
1.4 Hierarchy of Dynamic Network Models 9
1.5 Notes 14
II Mathematical Background 17
2 Variational Inequalities and Continuous Optimal Control 17
2.1 Variational Inequality Problems 18
2.1.1 Definitions 18
2.1.2 Existence and Uniqueness 23
2.1.3 Relaxation Algorithm 25
2.2 Continuous Optimal Control Problems 26
2.2.1 Definitions 27
2.2.2 No Constraints 31
2.2.3 Equality and Inequality Constraints 35
2.2.4 Equality and Nonnegativity Constraints 36
2.3 Hierarchical Optimal Control Problems 38
2.3.1 Static Two Person Games 38
2.3.2 Dynamic Games 40
2.3.3 Bilevel Optimal Control Problems 42
2.4 Notes 46
3 Discrete Optimal Control and Nonlinear Programming 49
3.1 Discrete Optimal Control Problems 49
3.1.1 No Constraints 50
3.1.2 Equality and Inequality Constraints 51
3.1.3 Equality and Nonnegativity Constraints 53
3.2 Nonlinear Programming Problems 54
xii Contents
3.2.1 Unconstrained Minimization 54
3.2.2 General Constraints 56
3.2.3 Linear Equality and Nonnegativity Constraints 58
3.2.4 Discrete Optimal Control and Nonlinear Programs ... 59
3.3 Solution Algorithms 60
3.3.1 One Dimensional Minimization 61
3.3.2 Frank Wolfe Algorithm 62
3.4 Notes 66
III Deterministic Dynamic Route Choice 69
4 Network Flow Constraints and Definitions of Travel Times 69
4.1 Flow Conservation Constraints 69
4.2 Definitions 72
4.3 Flow Propagation Constraints 73
4.3.1 Type I 73
4.3.2 Type II 75
4.3.3 Type III 76
4.4 First In First Out Constraints 77
4.5 Link Capacity and Oversaturation 81
4.5.1 Maximal Number of Vehicles on a Link 81
4.5.2 Maximal Exit Flow from a Link 81
4.5.3 Constraints for Spillback 81
4.6 Notes 83
5 Ideal Dynamic Route Choice Models 87
5.1 An Example with Two Parallel Routes 88
5.2 Definition of an Ideal State 89
5.3 A Route Time Based Model 91
5.3.1 Route Time Based Conditions 91
5.3.2 Dynamic Network Constraints 92
5.3.3 The Variational Inequality Problem 95
5.4 A Link Time Based Model 97
5.4.1 Link Time Based Conditions 99
5.4.2 The Variational Inequality Problem 102
5.5 A Numerical Example 104
5.6 A Multi Class Route Cost Based Model 107
5.6.1 Multi Class Route Cost Based Conditions 108
5.6.2 Dynamic Network Constraints 109
5.6.3 The Variational Inequality Problem 110
5.7 A Multi Class Link Cost Based Model 110
5.7.1 Multi Class Link Cost Based Conditions 110
5.7.2 The Variational Inequality Problem 112
5.8 Notes 113
Contents xjjj
6 A Solution Algorithm for an Ideal Route Choice Model 117
6.1 Statement of the Algorithm 118
6.1.1 Discrete VI Model for the Link Time Based Case .... 118
6.1.2 Relaxation Procedure and Optimization Problem .... 119
6.1.3 The Frank Wolfe Method 120
6.2 Solving the LP Subproblem 126
6.3 Computational Experience 133
6.4 Notes 134
7 Instantaneous Dynamic Route Choice Models 141
7.1 Definition of an Instantaneous State 141
7.2 A Route Time Based Model 143
7.2.1 Route Time Based Conditions 143
7.2.2 Dynamic Network Constraints 144
7.2.3 The Variational Inequality Problem 145
7.3 A Link Time Based Model 147
7.3.1 Link Time Based Conditions 148
7.3.2 The Variational Inequality Problem 151
7.4 Solution Algorithm 153
7.4.1 Discrete VI Model for the Link Time Based Case .... 153
7.4.2 Relaxation Procedure and Optimization Program .... 153
7.4.3 The Frank Wolfe Method 155
7.4.4 Numerical Example 158
7.5 Notes 161
8 Extensions of Instantaneous Route Choice Models 163
8.1 Optimal Control Model 1 163
8.1.1 Model Formulation 164
8.1.2 Optimality Conditions 166
8.1.3 DUO Equivalence Analysis 168
8.2 Optimal Control Model 2 170
8.2.1 Model Formulation 170
8.2.2 Optimality Conditions 170
8.3 A Multi Class Route Cost Based Model 172
8.3.1 Multi Class Route Cost Based Conditions 172
8.3.2 Dynamic Network Constraints 174
8.3.3 The Variational Inequality Problem 175
8.4 A Multi Class Link Cost Based Model 175
8.4.1 Multi Class Link Cost Based Conditions 175
8.4.2 The Variational Inequality Problem 177
8.5 Notes 177
xiv Contents
IV Stochastic Dynamic Route Choice 181
9 Ideal Stochastic Dynamic Route Choice Models 181
9.1 Redefinition of Dynamic Travel Times 183
9.2 Formulation of the Model 184
9.2.1 Network Constraints 184
9.2.2 Stochastic Route Choice and the Ideal SDUO State . . 185
9.2.3 Two Popular Route Choice Functions 187
9.2.4 Ideal Route Choice Conditions and VI Problem 190
9.2.5 Analysis of Dispersed Route Choice 191
9.3 Solution Algorithm 192
9.3.1 The Discrete Variational Inequality Problem 192
9.3.2 The Relaxation Method 192
9.3.3 Method of Successive Averages 195
9.3.4 Summary of the Solution Algorithm 199
9.3.5 A Logit Based Ideal Stochastic Loading 200
9.3.6 Proof of the Algorithm 202
9.4 Numerical Example 205
9.5 Notes 207
10 Instantaneous Stochastic Dynamic Route Choice Models 211
10.1 Formulation of the Model 212
10.1.1 Network Constraints 213
10.1.2 Definition of an Instantaneous SDUO State 214
10.1.3 Instantaneous Route Choice Conditions and VI Problem 216
10.2 Solution Algorithm 217
10.2.1 The Discrete Variational Inequality Problem 217
10.2.2 The Relaxation Method 218
10.2.3 Method of Successive Averages 220
10.2.4 Summary of the Solution Algorithm 221
10.2.5 A Logit Based Instantaneous Stochastic Loading .... 223
10.2.6 Proof of the Algorithm 224
10.3 An Instantaneous Optimal Control Model 227
10.4 Numerical Example 234
10.5 Notes 235
V General Dynamic Travel Choices 241
11 Combined Departure Time/Route Choice Models 241
11.1 Additional Network Constraints 242
11.2 A Route Based Model 243
11.2.1 Route Based Conditions 244
11.2.2 Dynamic Network Constraints 245
11.2.3 The Variational Inequality Problem 247
Contents xv
11.3 A Link Based Model 250
11.3.1 Link Based Conditions 251
11.3.2 The Variational Inequality Problem 253
11.4 Solution Algorithm and An Example 262
11.4.1 Discrete Variational Inequality Problem 262
11.4.2 Relaxation Procedure and Optimization Problem .... 263
11.4.3 Numerical Example 265
11.5 Notes 271
12 Combined Mode/Departure Time/Route Choice Models 275
12.1 The Combined Travel Choice Problem 277
12.2 Individual Travel Choice Problems 280
12.2.1 Mode Choice Problem 280
12.2.2 Departure Time/Route Choice for Motorists 281
12.3 The Link Time Based Model 284
12.3.1 Network Constraints 284
12.3.2 The Variational Inequality Problem 286
12.4 Notes 289
VI Implications for ITS 291
13 Link Travel Time Functions for Dynamic Network Models 291
13.1 Functions for Various Purposes 292
13.2 Stochastic Link Travel Time Functions 294
13.2.1 Moving Queue Concept 294
13.2.2 Cruise Time 296
13.2.3 Delay and Link Travel Time Functions 297
13.3 Deterministic Link Travel Time Functions 301
13.4 Implications of the Proposed Functions 303
13.4.1 Number of Link Flow Variables 303
13.4.2 Physical Constraints for Link Traffic Flow 304
13.4.3 Notes on Functions for Arterial Links 305
13.5 Functions for Freeway Segments 306
13.6 Notes 307
14 Implementation in Intelligent Transportation Systems 311
14.1 Implementation Issues 311
14.1.1 Traffic Prediction 311
14.1.2 Dynamic Route Guidance 314
14.1.3 Integrated Traffic Control/Information System 315
14.1.4 Incident Management 318
14.1.5 Congestion Pricing 321
14.1.6 Operations and Control for AHS 325
14.1.7 Transportation Planning 325
xvi Contents
14.2 Practical Considerations 325
14.2.1 Rolling Horizon Implementation 326
14.2.2 Traveler Knowledge of Information 326
14.2.3 Response to Current and Anticipated Conditions .... 327
14.2.4 Flow Based vs. Vehicle Based Models 328
14.2.5 Different Types of Travelers 329
14.3 Data Requirements 330
14.3.1 Time Dependent O D Matrices 330
14.3.2 Network Geometry and Control Data 330
14.3.3 Traffic Flow Data 332
14.3.4 Traveler Information 332
14.4 Notes 333
References 335
Subject Index 345
Author Index 351
List of Figures 353
List of Tables 355
|
| any_adam_object | 1 |
| author | Ran, Bin Boyce, David E. 1938- |
| author_GND | (DE-588)170298205 |
| author_facet | Ran, Bin Boyce, David E. 1938- |
| author_role | aut aut |
| author_sort | Ran, Bin |
| author_variant | b r br d e b de deb |
| building | Verbundindex |
| bvnumber | BV010804024 |
| callnumber-first | H - Social Science |
| callnumber-label | HE147 |
| callnumber-raw | HE147.7.R46 1996 |
| callnumber-search | HE147.7.R46 1996 |
| callnumber-sort | HE 3147.7 R46 41996 |
| callnumber-subject | HE - Transportation and Communications |
| classification_rvk | QH 462 QR 800 QR 860 ZH 9348 |
| ctrlnum | (OCoLC)469346990 (DE-599)BVBBV010804024 |
| dewey-full | 388/.06820 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 388 - Transportation |
| dewey-raw | 388/.068 20 |
| dewey-search | 388/.068 20 |
| dewey-sort | 3388 268 220 |
| dewey-tens | 380 - Commerce, communications, transportation |
| discipline | Architektur Wirtschaftswissenschaften |
| edition | 2., rev. ed. |
| format | Book |
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| id | DE-604.BV010804024 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:59:10Z |
| institution | BVB |
| isbn | 3540611398 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007217742 |
| oclc_num | 469346990 |
| open_access_boolean | |
| owner | DE-20 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-12 DE-384 DE-706 DE-521 DE-526 DE-634 DE-83 |
| owner_facet | DE-20 DE-473 DE-BY-UBG DE-19 DE-BY-UBM DE-12 DE-384 DE-706 DE-521 DE-526 DE-634 DE-83 |
| physical | XIX, 356 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| spelling | Ran, Bin Verfasser aut Modeling dynamic transportation networks an intelligent transportation system oriented approach Bin Ran ; David Boyce 2., rev. ed. Berlin [u.a.] Springer 1996 XIX, 356 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Network analysis (Planning) Mathematisches Modell Transportation -- Planning -- Mathematical models Netzwerkmodell (DE-588)4131643-5 gnd rswk-swf Transportproblem (DE-588)4060694-6 gnd rswk-swf Transport (DE-588)4060680-6 gnd rswk-swf Stadtverkehr (DE-588)4056783-7 gnd rswk-swf Verkehrsnetz (DE-588)4062953-3 gnd rswk-swf Verkehrsplanung (DE-588)4062954-5 gnd rswk-swf Dynamisches Netzwerk (DE-588)4150934-1 gnd rswk-swf Verkehrsleitsystem (DE-588)4187817-6 gnd rswk-swf Modell (DE-588)4039798-1 gnd rswk-swf Stadtverkehr (DE-588)4056783-7 s Verkehrsplanung (DE-588)4062954-5 s Netzwerkmodell (DE-588)4131643-5 s DE-604 Verkehrsleitsystem (DE-588)4187817-6 s Dynamisches Netzwerk (DE-588)4150934-1 s Verkehrsnetz (DE-588)4062953-3 s Transport (DE-588)4060680-6 s Modell (DE-588)4039798-1 s Transportproblem (DE-588)4060694-6 s Boyce, David E. 1938- Verfasser (DE-588)170298205 aut 1. Auflage Ran, Bin Dynamic urban transportation network models HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007217742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ran, Bin Boyce, David E. 1938- Modeling dynamic transportation networks an intelligent transportation system oriented approach Network analysis (Planning) Mathematisches Modell Transportation -- Planning -- Mathematical models Netzwerkmodell (DE-588)4131643-5 gnd Transportproblem (DE-588)4060694-6 gnd Transport (DE-588)4060680-6 gnd Stadtverkehr (DE-588)4056783-7 gnd Verkehrsnetz (DE-588)4062953-3 gnd Verkehrsplanung (DE-588)4062954-5 gnd Dynamisches Netzwerk (DE-588)4150934-1 gnd Verkehrsleitsystem (DE-588)4187817-6 gnd Modell (DE-588)4039798-1 gnd |
| subject_GND | (DE-588)4131643-5 (DE-588)4060694-6 (DE-588)4060680-6 (DE-588)4056783-7 (DE-588)4062953-3 (DE-588)4062954-5 (DE-588)4150934-1 (DE-588)4187817-6 (DE-588)4039798-1 |
| title | Modeling dynamic transportation networks an intelligent transportation system oriented approach |
| title_auth | Modeling dynamic transportation networks an intelligent transportation system oriented approach |
| title_exact_search | Modeling dynamic transportation networks an intelligent transportation system oriented approach |
| title_full | Modeling dynamic transportation networks an intelligent transportation system oriented approach Bin Ran ; David Boyce |
| title_fullStr | Modeling dynamic transportation networks an intelligent transportation system oriented approach Bin Ran ; David Boyce |
| title_full_unstemmed | Modeling dynamic transportation networks an intelligent transportation system oriented approach Bin Ran ; David Boyce |
| title_old | Ran, Bin Dynamic urban transportation network models |
| title_short | Modeling dynamic transportation networks |
| title_sort | modeling dynamic transportation networks an intelligent transportation system oriented approach |
| title_sub | an intelligent transportation system oriented approach |
| topic | Network analysis (Planning) Mathematisches Modell Transportation -- Planning -- Mathematical models Netzwerkmodell (DE-588)4131643-5 gnd Transportproblem (DE-588)4060694-6 gnd Transport (DE-588)4060680-6 gnd Stadtverkehr (DE-588)4056783-7 gnd Verkehrsnetz (DE-588)4062953-3 gnd Verkehrsplanung (DE-588)4062954-5 gnd Dynamisches Netzwerk (DE-588)4150934-1 gnd Verkehrsleitsystem (DE-588)4187817-6 gnd Modell (DE-588)4039798-1 gnd |
| topic_facet | Network analysis (Planning) Mathematisches Modell Transportation -- Planning -- Mathematical models Netzwerkmodell Transportproblem Transport Stadtverkehr Verkehrsnetz Verkehrsplanung Dynamisches Netzwerk Verkehrsleitsystem Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007217742&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ranbin modelingdynamictransportationnetworksanintelligenttransportationsystemorientedapproach AT boycedavide modelingdynamictransportationnetworksanintelligenttransportationsystemorientedapproach |