Dynamic urban transportation network models: theory and implications for intelligent vehicle highway systems
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| Previous Title: | Ran, Bin Modeling dynamic transportation networks |
|---|---|
| Main Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Berlin u.a.
Springer
1994
|
| Series: | Lecture notes in economics and mathematical systems
417 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Spätere Ausg. u.d.T.: Ran, Bin: Modeling dynamic transportation networks |
| Physical Description: | XV, 390 S. graph. Darst. |
| ISBN: | 3540583602 0387583602 |
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| 245 | 1 | 0 | |a Dynamic urban transportation network models |b theory and implications for intelligent vehicle highway systems |c Bin Ran ; David E. Boyce |
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| 300 | |a XV, 390 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Contents
I Dynamic Transportation Network Analysis
1 Introduction 1
1.1 Requirements for Dynamic Network Modeling 2
1.2 Urban Transportation Network Analysis 4
1.3 Overview of Dynamic Network Models 6
1.4 Hierarchy of Dynamic Network Models 8
1.5 Notes 14
II Mathematical Background
2 Continuous Optimal Control Problems 17
2.1 Definitions for Optimal Control Theory 18
2.2 Continuous Problems with No Constraints 22
2.2.1 Fixed Beginning and Fixed End Times 23
2.2.2 Fixed Beginning and Free End Times 27
2.3 Continuous Problems with Equality and Inequality Constraints 28
2.3.1 Fixed Beginning and Fixed End Times 28
2.3.2 Fixed Beginning and Free End Times 30
2.4 Continuous Problems with Equality and Nonnegativity Con¬
straints . . 39
2.4.1 Fixed Beginning and Fixed End Times 40
2.4.2 Fixed Beginning and Free End Times 41
2.5 Hierarchical Optimal Control Problems 42
2.5.1 Static Two Person Games 43
2.5.2 Dynamic Games 44
2.5.3 Bilevel Optimal Control Problems 47
2.6 Notes 51
3 Discrete Optimal Control, Mathematical Programming
and Variational Inequality Problems 53
3.1 Discrete Optimal Control Problems with Fixed Beginning and
End Times 54
x CONTENTS
3.1.1 Fixed End Times: No Constraints 54
3.1.2 Fixed End Times: Equality and Inequality Constraints . 56
3.1.3 Fixed End Times: Equality and Nonnegativity
Constraints 57 j
3.2 Mathematical Programming Problems 59
3.2.1 Unconstrained Minimization 59
3.2.2 Nonlinear Programs with General Constraints . ....... 60
3.2.3 Discrete Optimal Control and Nonlinear Programs ... 63 ;
3.2.4 Nonlinear Programs with Linear Equality and Nonnega¬
tivity Constraints 64
3.2.5 Bilevel Mathematical Programs 65
3.3 Variational Inequality Problems 68
3.3.1 Definitions for Variational Inequality Problems 68
3.3.2 Existence and Uniqueness Conditions 72
3.4 Solution Algorithms for Mathematical Programs and Variational
Inequalities 74
3.4.1 One Dimentional Minimization 75
3.4.2 Frank Wolfe Algorithm 77
3.4.3 Relaxation Algorithm 80
3.5 Notes 81
III Deterministic Dynamic Route Choice
4 Network Flow Constraints and Definitions of Travel Times 83
4.1 Flow Conservation Constraints 83
4.2 Definitions of Dynamic Travel Times 86
4.3 Flow Propagation Constraints 87
4.3.1 Type I 88
4.3.2 Type II 89
4.4 First In First Out Constraints 90
4.5 Link Capacity and Oversaturation 93
4.5.1 Maximal Number of Vehicles on a Link 93
4.5.2 Maximal Exit Flow from a Link 94
4.5.3 Constraints for Spillback 94
4.6 Summary of Notation gg
4.7 Notes gg
5 Instantaneous Dynamic User Optimal Route Choice Models 99
5.1 An Example with Two Parallel Routes 99
5.2 Definition of Instantaneous DUO State 101
5.3 Instantaneous Route Choice Model 1 103
5.3.1 Model Formulation 103
5.3.2 Optimality Conditions 107
5.3.3 DUO Equivalence Analysis 108 [
I
CONTENTS xi
5.4 Instantaneous Route Choice Model 2 110
5.4.1 Model Formulation 110
5.4.2 Optimality Conditions Ill
5.5 Instantaneous Route Choice Model 3 112
5.6 A Numerical Example 113
5.7 Notes 116
5.7.1 Several Formulation Issues 116
5.7.2 Properties of Models 117
6 A Computational Algorithm for Instantaneous Dynamic
User Optimal Route Choice Models 119
6.1 The Algorithm 120
6.1.1 Discrete Instantaneous DUO Route Choice Model . . . 120
6.1.2 The Diagonalization/Frank Wolfe Algorithm 121
6.1.3 Solving the LP Subproblem Using an Expanded Time
Space Network 126
6.2 Time Space Network Expansion 131
6.3 Flow Propagation Constraints in Minimal Cost Route Searches 133
6.4 Computational Experience 134
6.5 Notes 135
7 An Ideal Dynamic User Optimal Route Choice Model 141
7.1 Additional Network Flow Constraints and Definition of the Ideal
DUO State 141
7.2 Equivalent Equality Constraints for Ideal DUO Route Choice
Conditions 143
7.3 An Optimal Control Model of Ideal DUO Route Choice .... 149
7.4 Solution Algorithm 150
7.4.1 Discrete Formulation of the Ideal Model 151
7.4.2 The Penalty Method 152
7.4.3 The Diagonalization/Frank Wolfe Algorithm 154
7.4.4 Summary of the Algorithm 157
7.5 Notes 158
IV Stochastic Dynamic Route Choice
8 Stochastic Dynamic User Optimal Route Choice Models 161
8.1 Definitions of Travel Times in Stochastic Situations 163
8.2 Instantaneous SDUO Route Choice Model 165
8.2.1 Model Formulation 165
8.2.2 Optimality Conditions and Equivalence Analysis .... 169
8.3 Ideal SDUO Route Choice Model 173
8.3.1 Constraints for Mean Actual Route Travel Times .... 173
i
xii CONTENTS ¦
8.3.2 Definition of Ideal SDUO and Logit Based Route Flow
Constraints 175
8.3.3 Model Formulation 177
8.3.4 Analysis of Dispersed Route Choice 179 I
8.4 Notes 180
9 Solution Algorithms for Stochastic Dynamic User Optimal
Route Choice Models 181 ;
9.1 Some New Notation 181 |
9.2 An Algorithm for the Flow Independent Instantaneous SDUO f
Route Choice Model 183 ?
9.2.1 Statement of the Algorithm 184
9.2.2 Proof of the Algorithm 185
9.3 An Algorithm for the Flow Independent Ideal SDUO Route
Choice Model 188 ;
9.3.1 Statement of the Algorithm 188
9.3.2 Proof of the Algorithm 189
9.4 An Algorithm for the Instantaneous SDUO Route Choice Model 193
9.4.1 A Discrete Time Instantaneous Model 193
9.4.2 Solution Algorithm 194
9.5 An Algorithm for the Ideal SDUO Route Choice Model .... 196
9.5.1 A Discrete Time Ideal Model 196
9.5.2 Solution Algorithm 198
9.6 Numerical Examples 200
9.7 Notes 201
V General Dynamic Travel Choices
10 Combined Departure Time/Route Choice Models 205
10.1 Additional Network Constraints 206
10.2 Formulation of the Bilevel Program 207
10.2.1 Lower Level Problem: Departure Time Choice 209
10.2.2 Upper Level Problem: Route Choice 211
10.2.3 Bilevel Program Formulation 211
10.3 Optimality Conditions and Equivalence Analysis 213
10.3.1 Optimality Conditions 213
10.3.2 DUO Equivalence Analysis 214
10.4 Solution Algorithm and An Example 216
10.4.1 Solution Algorithm 216
10.4.2 Numerical Example 217
10.5 Notes 220
CONTENTS xiii
11 Combined Departure Time/Mode/Route Choice Models 225
11.1 Two Stage Travel Choice Model 227
11.2 First Stage: Mode Choice Problem 230
11.3 Second Stage: Departure Time/Route Choice for Motorists . . 231
11.3.1 Lower Level: Departure Time Choice for Motorists . . . 231
11.3.2 Upper Level: Route Choice for Motorists 233
11.4 Formulation of the Two Stage Travel Choice Model 234
11.5 Optimality Conditions 237
11.5.1 Optimality Conditions for First Stage Program 237
11.5.2 Optimality Conditions for Second Stage Program .... 239
11.6 Notes 241
VI Variational Inequality Models
12 Variational Inequality Models of Instantaneous Dynamic
User Optimal Route Choice Problems 243
12.1 A Route Time Based VI Model of Instantaneous Route Choice 244
12.1.1 Route Time Based Conditions 244
12.1.2 Dynamic Network Constraints 245
12.1.3 The Route Time Based VI Model 246
12.2 A Multi Group Route Cost Based VI Model of Instantaneous
Route Choice 249
12.2.1 Multi Group Route Cost Based Conditions 250
12.2.2 Dynamic Network Constraints 251
12.2.3 The Multi Group Route Cost Based VI Model 252
12.3 A Link Time Based VI Model of Instantaneous Route Choice . 252
12.3.1 Link Time Based Conditions 254
12.3.2 The Link Time Based VI Model 257
12.4 A Multi Group Link Cost Based VI Model of Instantaneous
Route Choice 259
12.4.1 Multi Group Link Cost Based Conditions 259
12.4.2 The Multi Group Link Cost Based VI Model 261
12.5 Relationships Between VI Models and Optimization Models . . 261
12.6 Notes 266
13 Variational Inequality Models of Ideal Dynamic User
Optimal Route Choice Problems 267
13.1 A Route Time Based VI Model of Ideal Route Choice 268
13.1.1 Route Time Based Conditions 268
13.1.2 Dynamic Network Constraints 269
13.1.3 The Route Time Based VI Model 270
13.2 A Multi Group Route Cost Based VI Model of Ideal Route
Choice 272
13.2.1 Multi Group Route Cost Based Conditions 273
riy CONTENTS I
13.2.2 Dynamic Network Constraints 271 I
13.2.3 The Multi Group Route Cost Based VI Model 275 1
13.3 A Link Time Based VI Model of Ideal Route Choice 275 1
13.3.1 Link Time Based Conditions 275 |
13.3.2 The Link Time Based Model 278 I
13.4 A Multi Group Link Cost Based VI Model of Ideal Route I
Choice 281 I
13.4.1 Multi Group Link Cost Based Conditions 281 |
13.4.2 The Multi Group Link Cost Based VI Model 282 I
13.5 Relationships Between VI Models and Optimization Models . . 283 J
13.6 Notes 289 |
14 Variational Inequality Models of Dynamic Departure I
Time/Route Choice Problems 291 j
14.1 A Route Based VI Model of Departure Time/Route Choice .. 291 I
14.1.1 Route Based Conditions 292
14.1.2 Dynamic Network Constraints 293
14.1.3 The Route Based VI Model 295
14.2 A Link Based VI Model of Departure Time/Route Choice ... 298 j
14.2.1 Link Based Conditions 299 j
14.2.2 The Link Based VI Model . 301 I
14.3 VI Models and Optimization Models for Departure Time/Route !
Choice 310 j
14.4 Notes 311
15 Dynamic System Optimal Route Choice and Congestion
Pricing 313
15.1 Objective Functions for Dynamic System Optimal Models . . . 313
15.2 Total Travel Time Minimization 315
15.2.1 The Model 315
15.2.2 Solution Algorithm 317
15.3 DSO Route Choice with Elastic Departure Times 321
15.3.1 Fixed Final Time T 323
15.3.2 Free Final Time T 325
15.4 Dynamic Congestion Pricing 328
15.4.1 Various Dynamic Congestion Pricing Strategies 328
15.4.2 Dynamic Network Constraints 330
15.4.3 Tolls Based on Instantaneous DUO Route Choice .... 331
15.4.4 Tolls Based on Ideal DUO Route Choice 333
15.5 Notes 335
CONTENTS xv
VII Implications for IVHS
16 Link Travel Time Functions for Dynamic Network Models 337
16.1 Functions for Various Purposes 338
16.2 Functions for Arterials: Longer Time Horizons 340
16.3 Functions for Arterials: Short Time Horizons 345
16.4 Implications of Functions for Arterial Networks 347
16.4.1 Number of Link Flow Variables 347
16.4.2 Notes on Functions for Arterial Links 348
16.5 Functions for Freeway Segments 349
16.6 Notes 350
17 Implementation in IVHS 353
17.1 Implementation Issues 353
17.1.1 Traffic Prediction 353
17.1.2 Traffic Control 356
17.1.3 Incident Management 357
17.1.4 Congestion Pricing 359
17.1.5 Operations and Control for AHS 361
17.1.6 Transportation Planning 361
17.2 Data Requirements 362
17.2.1 Time Dependent O D Matrices 362
17.2.2 Network Geometry and Control Data 362
17.2.3 Traffic Flow Data 364
17.2.4 Traveler Information 364
17.3 Notes 365
References 367
Subject Index 377
Author Index 385
List of Figures 389
List of Tables 391
|
| 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 | BV009790428 |
| callnumber-first | H - Social Science |
| callnumber-label | HE305 |
| callnumber-raw | HE305.R36 1994 |
| callnumber-search | HE305.R36 1994 |
| callnumber-sort | HE 3305 R36 41994 |
| callnumber-subject | HE - Transportation and Communications |
| classification_rvk | QR 800 QR 860 RB 10768 SI 853 |
| classification_tum | MAT 904f |
| ctrlnum | (OCoLC)30919261 (DE-599)BVBBV009790428 |
| dewey-full | 388.4/068 388.4/06820 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 388 - Transportation |
| dewey-raw | 388.4/068 388.4/068 20 |
| dewey-search | 388.4/068 388.4/068 20 |
| dewey-sort | 3388.4 268 |
| dewey-tens | 380 - Commerce, communications, transportation |
| discipline | Mathematik Wirtschaftswissenschaften Geographie |
| format | Book |
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| id | DE-604.BV009790428 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:40:55Z |
| institution | BVB |
| isbn | 3540583602 0387583602 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006477518 |
| oclc_num | 30919261 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-12 DE-824 DE-91G DE-BY-TUM DE-29T DE-19 DE-BY-UBM DE-521 DE-83 DE-188 |
| owner_facet | DE-384 DE-739 DE-12 DE-824 DE-91G DE-BY-TUM DE-29T DE-19 DE-BY-UBM DE-521 DE-83 DE-188 |
| physical | XV, 390 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in economics and mathematical systems |
| series2 | Lecture notes in economics and mathematical systems |
| spelling | Ran, Bin Verfasser aut Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems Bin Ran ; David E. Boyce Berlin u.a. Springer 1994 XV, 390 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in economics and mathematical systems 417 Spätere Ausg. u.d.T.: Ran, Bin: Modeling dynamic transportation networks Lokaal verkeer gtt Netwerkanalyse gtt Verkeersplannen gtt Vervoersmodellen gtt Mathematisches Modell Urban transportation -- Planning -- Mathematical models Network analysis (Planning) Intelligent Vehicle Highway Systems Verkehrsleitsystem (DE-588)4187817-6 gnd rswk-swf Verkehrsplanung (DE-588)4062954-5 gnd rswk-swf Stadtverkehr (DE-588)4056783-7 gnd rswk-swf Dynamisches Netzwerk (DE-588)4150934-1 gnd rswk-swf Transportproblem (DE-588)4060694-6 gnd rswk-swf Netzwerkmodell (DE-588)4131643-5 gnd rswk-swf Verkehrsleitsystem (DE-588)4187817-6 s Transportproblem (DE-588)4060694-6 s DE-604 Stadtverkehr (DE-588)4056783-7 s Verkehrsplanung (DE-588)4062954-5 s Netzwerkmodell (DE-588)4131643-5 s Dynamisches Netzwerk (DE-588)4150934-1 s Boyce, David E. 1938- Verfasser (DE-588)170298205 aut 2. Auflage Ran, Bin Modeling dynamic transportation networks Lecture notes in economics and mathematical systems 417 (DE-604)BV000000036 417 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006477518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ran, Bin Boyce, David E. 1938- Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems Lecture notes in economics and mathematical systems Lokaal verkeer gtt Netwerkanalyse gtt Verkeersplannen gtt Vervoersmodellen gtt Mathematisches Modell Urban transportation -- Planning -- Mathematical models Network analysis (Planning) Intelligent Vehicle Highway Systems Verkehrsleitsystem (DE-588)4187817-6 gnd Verkehrsplanung (DE-588)4062954-5 gnd Stadtverkehr (DE-588)4056783-7 gnd Dynamisches Netzwerk (DE-588)4150934-1 gnd Transportproblem (DE-588)4060694-6 gnd Netzwerkmodell (DE-588)4131643-5 gnd |
| subject_GND | (DE-588)4187817-6 (DE-588)4062954-5 (DE-588)4056783-7 (DE-588)4150934-1 (DE-588)4060694-6 (DE-588)4131643-5 |
| title | Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems |
| title_auth | Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems |
| title_exact_search | Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems |
| title_full | Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems Bin Ran ; David E. Boyce |
| title_fullStr | Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems Bin Ran ; David E. Boyce |
| title_full_unstemmed | Dynamic urban transportation network models theory and implications for intelligent vehicle highway systems Bin Ran ; David E. Boyce |
| title_old | Ran, Bin Modeling dynamic transportation networks |
| title_short | Dynamic urban transportation network models |
| title_sort | dynamic urban transportation network models theory and implications for intelligent vehicle highway systems |
| title_sub | theory and implications for intelligent vehicle highway systems |
| topic | Lokaal verkeer gtt Netwerkanalyse gtt Verkeersplannen gtt Vervoersmodellen gtt Mathematisches Modell Urban transportation -- Planning -- Mathematical models Network analysis (Planning) Intelligent Vehicle Highway Systems Verkehrsleitsystem (DE-588)4187817-6 gnd Verkehrsplanung (DE-588)4062954-5 gnd Stadtverkehr (DE-588)4056783-7 gnd Dynamisches Netzwerk (DE-588)4150934-1 gnd Transportproblem (DE-588)4060694-6 gnd Netzwerkmodell (DE-588)4131643-5 gnd |
| topic_facet | Lokaal verkeer Netwerkanalyse Verkeersplannen Vervoersmodellen Mathematisches Modell Urban transportation -- Planning -- Mathematical models Network analysis (Planning) Intelligent Vehicle Highway Systems Verkehrsleitsystem Verkehrsplanung Stadtverkehr Dynamisches Netzwerk Transportproblem Netzwerkmodell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006477518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000036 |
| work_keys_str_mv | AT ranbin dynamicurbantransportationnetworkmodelstheoryandimplicationsforintelligentvehiclehighwaysystems AT boycedavide dynamicurbantransportationnetworkmodelstheoryandimplicationsforintelligentvehiclehighwaysystems |