Transportation systems engineering: theory and methods
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2001
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| Series: | Applied optimization
49 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIX, 708 S. graph. Darst. |
| ISBN: | 0792367928 |
Staff View
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| adam_text | Titel: Transportation systems engineering
Autor: Cascetta, Ennio
Jahr: 2001
CONTENTS
About the Author....................................................................................................XIII
Introduction............................................................................................................XV
1. TRANSPORTATION SYSTEMS....................................................1
1.1. Definition...........................................................................................................1
1.2. Transportation system identification..................................................................5
1.2.1. Relevant spatial and supply characteristics.................................................6
1.2.2. Relevant components of transport demand.................................................9
1.2.3. Relevant temporal dimensions..................................................................12
1.3. Modeling transportation systems....................................................................19
Reference Notes.............................................................................................22
2. TRANSPORTATION SUPPLY MODELS 23
2.1. Introduction.....................................................................................................23
2.2. Congested network models.............................................................................24
2.2.1. Graph models............................................................................................25
2.2.2. Performance variables and transportation costs.......................................26
2.2.3. Flows.........................................................................................................31
2.2.4. Link performance and cost functions.........................................................33
2.2.5. Impacts and impact functions....................................................................35
2.2.6. General formulation...................................................................................36
2.3. Applications of Transportation Supply models................................................37
2.3.1. Supply models for continuous service systems.........................................39
2.3.1.1. Graph models......................................................................................39
2.3.1.2. Performance and cost functions..........................................................43
2.3.2. Supply models for scheduled service systems..........................................58
2.3.2.1. Line-based graph models....................................................................59
2.3.2.2. Performance and cost functions..........................................................61
2.A. Review of Traffic Flow Theory........................................................................65
2.A.1. Models for running links............................................................................65
2.A.1.1. Fundamental variables........................................................................65
2.A.1.2. Stationary models...............................................................................68
2.A.1.3. Non-stationary models........................................................................75
2.A.2. Models for queuing links...........................................................................78
2.A.2.1. Fundamental variables........................................................................78
2.A.2.2. Deterministic models...........................................................................79
2.A.2.3. Stochastic models..............................................................................85
2.A.3. Application to signalized intersections......................................................87
Reference Notes.............................................................................................92
3. RANDOM UTILITY THEORY........................................................95
3.1. Introduction.....................................................................................................95
3.2. Basic assumptions..........................................................................................96
VIII THEORY AND METHODS OF THE TRANSPORTATION SYSTEMS ENGINEERING
3.3. Some random utility models..........................................................................101
3.3.1. The Multinomial Logit model...................................................................101
3.3.2. The Single-Level Hierarchical Logit model..............................................106
3.3.3. The Multi-Level Hierarchical Logit model*...............................................113
3.3.4. The Cross-Nested Logit model*..............................................................122
3.3.5. The Generalized Extreme Value (GEV) model*......................................126
3.3.6. The Probit model.....................................................................................128
3.3.7. The Hybrid Logit-Probit model*...............................................................136
3.4. Choice set modeling*....................................................................................137
3.5. Expected Maximum Perceived Utility and mathematical properties of
random utility models..................................................................................141
3.6. Direct and cross elasticities of random utility model......................................147
3.7. Aggregation methods for random utility models............................................151
3.A. Derivation of logit models from the GEV model............................................157
3.A.1. Derivation of the Multinomial Logit model...............................................157
3.A.2. Derivation of the Single-Level Hierarchical Logit model..........................158
3.A.3. Derivation of the Multi-Level Hierarchical Logit model............................160
3.A.4. Derivation of the Cross-Nested Logit model...........................................163
3.B. Random variables relevant for random utility models...................................165
3.B.1. The Gumbel random variable.................................................................165
3.B.2. The Multivariate Normal random variable...............................................168
Reference Notes...........................................................................................169
4. TRANSPORTATION DEMAND MODELS..............................175
4.1. Introduction...................................................................................................175
4.2. Trip demand model systems.........................................................................178
4.3. Examples of trip demand models..................................................................184
4.3.1. Emission or trip frequency models..........................................................184
4.3.2. Distribution models..................................................................................188
4.3.3. Mode choice models...............................................................................192
4.3.4. Path choice models.................................................................................197
4.3.4.1. Path choice models for road systems................................................197
4.3.4.2. Path choice models for transit systems.............................................207
4.3.5. A system of demand models...................................................................215
4.4. Trip-chaining demand models*.....................................................................220
4.5. Applications of demand models....................................................................228
4.6. Freight transport demand models*................................................................230
4.6.1. Multiregional Input-Output (MRIO) models.............................................232
4.6.2. Freight mode choice models...................................................................243
Reference Notes...........................................................................................245
5. MODELS FOR TRAFFIC ASSIGNMENT TO
TRANSPORTATION NETWORKS................................................251
5.1. Introduction...................................................................................................251
5.2. Definitions, assumptions, and basic equations.............................................255
5.2.1. Supply model..........................................................................................256
5.2.2. Demand model........................................................................................259
5.2.3. Feasible path and link flow sets..............................................................264
5.2.4. Network performance indicators..............................................................265
5.3. Models for assignment to Uncongested Networks........................................268
CONTENTS IX
5.3.1. Models for Stochastic Uncongested Network assignment.......................270
5.3.2. Models for Deterministic Uncongested Network assignment..................271
5.4. Rigid demand Users Equilibrium assignment models...................................274
5.4.1. Stochastic User Equilibrium models........................................................276
5.4.2. Deterministic User Equilibrium models....................................................281
5.4.3. Relationship between stochastic and deterministic equilibrium flows......288
5.4.4. System optimal assignment models........................................................291
5.5. Assignment models with pre-trip/en-route path choice.................................297
5.6. Elastic demand User Equilibrium assignment models*.................................307
5.6.1. Single-mode assignment models............................................................311
5.6.1.1. Elastic demand single-mode Stochastic User Equilibrium models .... 313
5.6.1.2. Elastic demand single-mode Deterministic User Equilibrium models 316
5.6.2. Multi-mode assignment models...............................................................321
5.7. Multi-class assignment models*....................................................................324
5.7.1. Differentiated congestion multi-class assignment models.......................327
5.7.2, Undifferentiated congestion multi-class assignment models...................328
5.8. Inter-period Dynamic Process assignment models*......................................331
5.8.1. Definitions, assumptions and basic equations.........................................332
5.8.1.1. Supply model.....................................................................................332
5.8.1.2. Demand model..................................................................................333
5.8.1.3. Approaches to Dynamic Process modeling.......................................336
5.8.2. Deterministic Process models.................................................................339
5.8.3. Stochastic Process models.....................................................................345
5.9. Synthesis and application issues of assignment models...............................348
5.A. Optimization models for stochastic assignment............................................357
5.A.1. Stochastic Uncongested Network assignment........................................357
5.A.2. Stochastic User Equilibrium assignment.................................................357
Reference Notes...........................................................................................360
6. INTRA-PERIOD (WITHIN-DAY) DYNAMIC MODELS* 367
6.1. Introduction...................................................................................................367
6.2. Supply models for continuous service systems.............................................368
6.2.1. Continuous flow supply models...............................................................370
6.2.1.1. Variables and consistency conditions................................................371
6.2.1.2. Link performance and travel time functions.......................................379
6.2.1.3. Path performance and travel time functions......................................380
6.2.1.4. Dynamic Network Loading models....................................................384
6.2.1.5. Formalization of the overall supply model.........................................387
6.2.2. Discrete flow supply models....................................................................388
6.2.2.1. Variables and consistency conditions................................................389
6.2.2.2. Link performance and travel time functions.......................................393
6.2.2.3. Path performance and travel time functions......................................394
6.2.2.4. Dynamic Network Loading models....................................................395
6.2.2.5. Formalization of the overall supply model.........................................397
6.3. Demand models for continuous service systems..........................................398
6.4. Demand-supply interaction models for continuous sen/ice systems.............403
6.4.1. Uncongested network assignment models..............................................403
6.4.2. User Equilibrium assignment models......................................................406
6.4.3. Dynamic Process assignment models.....................................................410
6.5. Models for scheduled service systems..........................................................416
THEORY AND METHODS OF THE TRANSPORTATION SYSTEMS ENGINEERING
6.5.1. Models for regular low-frequency services..............................................418
6.5.1.1. Supply models...................................................................................419
6.5.1.2. Demand models................................................................................423
6.5.1.3. Demand-supply interaction models...................................................425
6.5.2. Models for irregular high-frequency sen/ices...........................................425
6.5.2.1. Supply models...................................................................................425
6.5.2.2. Demand models................................................................................427
6.5.2.3. Demand-supply interaction models...................................................432
Reference Notes...........................................................................................433
7. ALGORITHMS FOR TRAFFIC ASSIGNMENT TO
TRANSPORTATION NETWORKS....................................................435
7.1. Introduction...................................................................................................435
7.2. Shortest path algorithms...............................................................................436
7.3. Algorithms for Uncongested Network assignment........................................440
7.3.1. Stochastic Uncongested Network assignment without explicit paths
enumeration............................................................................................441
7.3.1.1. SUN assignment with Logit path choice model.................................441
7.3.1.2. SUN assignment with Probit path choice model................................448
7.3.2. Deterministic Uncongested Network assignment without explicit paths
enumeration............................................................................................453
7.4. Algorithms for rigid demand User Equilibrium assignment............................456
7.4.1. Rigid demand Stochastic User Equilibrium.............................................457
7.4.2. Rigid demand Deterministic User Equilibrium.........................................461
7.4.3. Algorithms for System Optimal Assignment............................................466
7.5. Algorithms for assignment with pre-trip/en-route path choice.......................467
7.5.1. Shortest hyperpath algorithms................................................................467
7.5.2. Algorithms for Uncongested Network assignment with
pre-trip/en-route path choice...................................................................472
7.5.3. Algorithms for rigid demand User Equilibrium assignment
with pre-trip/en-route path choice............................................................473
7.6. Extensions of User Equilibrium assignment algorithms*...............................475
7.7. Applicative issues of assignment algorithms.................................................481
Reference Notes...........................................................................................482
8. ESTIMATION OF TRAVEL DEMAND FLOWS 485
8.1. Introduction...................................................................................................485
8.2. Direct estimation of present demand............................................................486
8.2.1. Sampling surveys....................................................................................486
8.2.2. Sampling estimators................................................................................488
8.3. Disaggregate estimation of demand models.................................................492
8.3.1. Model specification..................................................................................493
8.3.2. Model calibration.....................................................................................494
8.3.3. Model validation......................................................................................502
8.4. Disaggregate estimation of demand models with Stated Preferences
surveys*........................................................................................................508
8.4.1. Definitions and types of survey...............................................................509
8.4.2. Survey design.........................................................................................511
8.4.3. Model calibration.....................................................................................517
8.5. Estimation of O-D demand flows using traffic counts....................................522
CONTENTS XI
8.5.1. Maximum Likelihood and GLS estimators*..............................................528
8.5.2. Bayesian estimators*...............................................................................533
8.5.3. Applicative issues....................................................................................535
8.5.4. Solution methods....................................................................................538
8.6. Aggregate calibration of demand models using traffic counts.......................542
8.7. Estimation of intra-period dynamic demand flow using traffic counts*..........548
8.7.1. Simultaneous Estimators.........................................................................553
8.7.2. Sequential Estimators.............................................................................554
8.8. Applications of demand estimation methods.................................................555
8.8.1. Estimation of present demand.................................................................555
8.8.2. Estimation of demand variations (forecasting)........................................557
Reference Notes...........................................................................................559
9. TRANSPORTATION SUPPLY DESIGN MODELS 565
9.1. Introduction...................................................................................................565
9.2. General formulations of the Supply Design Problem....................................569
9.3. Some applications of Supply Design models................................................572
9.3.1. Models for road network layout design....................................................572
9.3.2. Models for road network capacity design................................................576
9.3.3. Models for transit network design............................................................577
9.3.4. Models for pricing design........................................................................581
9.3.5. Models for mixed design.........................................................................583
9.4. Some algorithms for Supply Design Models.................................................584
9.4.1. Algorithms for the discrete SDP..............................................................584
9.4.2. Algorithms for the continuous SDP.........................................................591
Reference Notes...........................................................................................596
10. TRANSPORTATION SYSTEMS ENGINEERING FOR
PLANNING AND EVALUATION.....................................................599
10.1. Introduction.................................................................................................599
10.2. Transportation systems engineering and the decision-making process......600
10.3. Some areas of application...........................................................................604
10.4. Evaluation of transportation system projects...............................................606
10.4.1. Identification of relevant impacts...........................................................607
10.4.2. Identification and estimation of impact indicators..................................609
10.4.3. Computation of impacts perceived by the users....................................611
10.5. Methods for the comparison of alternative projects.....................................625
10.5.1. Benefit-Cost analysis.............................................................................626
10.5.2. Multi-Criteria analysis............................................................................632
Reference Notes...........................................................................................640
A. REVIEW OF NUMERICAL ANALYSIS 643
A.1. Sets and functions........................................................................................643
A.1.1. Elements of set topology.........................................................................643
A.1.2. Differentiable functions...........................................................................645
A. 1.3. Convex functions....................................................................................649
A.2. Solution algorithms.......................................................................................652
A.3. Fixed point problems....................................................................................652
A.3.1. Properties of fixed points........................................................................654
A.3.2. Solution algorithms for fixed point problems...........................................656
XII THEORY AND METHODS OF THE TRANSPORTATION SYSTEMS ENGINEERING
A.4. Optimization problems..................................................................................658
A.4.1. Properties of minimum points.................................................................659
A.4.1.1. Properties of minimum points on open sets......................................659
A.4.1.2. Properties of minimum points on closed sets....................................659
A.4.2. Solution algorithms for optimization problems........................................660
A.4.2.1. Mono-dimensional optimization algorithms.......................................660
A.4.2.2. Unconstrained multi-dimensional optimization algorithms.................664
A.4.2.3. Bounded variables multi-dimensional optimization algorithms..........669
A.4.2.4. Linearly constrained multi-dimensional optimization algorithms........670
A.5. Variational inequality problems.....................................................................673
A.5.1. Properties of variational inequalities.......................................................674
A.5.2. Solution algorithms for variational inequality problems...........................675
References...................................................................................................677
Index ..........................................................................................................693
Main Variables.......................................................................................................705
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| indexdate | 2024-07-09T18:55:05Z |
| institution | BVB |
| isbn | 0792367928 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009551883 |
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| physical | XIX, 708 S. graph. Darst. |
| publishDate | 2001 |
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| series | Applied optimization |
| series2 | Applied optimization |
| spelling | Cascetta, Ennio Verfasser aut Transportation systems engineering theory and methods by Ennio Cascetta Dordrecht [u.a.] Kluwer Acad. Publ. 2001 XIX, 708 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied optimization 49 Transportes larpcal Transportation engineering Verkehrsforschung (DE-588)4187810-3 gnd rswk-swf Verkehrssystem (DE-588)4187835-8 gnd rswk-swf Verkehrssystem (DE-588)4187835-8 s Verkehrsforschung (DE-588)4187810-3 s DE-604 Applied optimization 49 (DE-604)BV010841718 49 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009551883&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cascetta, Ennio Transportation systems engineering theory and methods Applied optimization Transportes larpcal Transportation engineering Verkehrsforschung (DE-588)4187810-3 gnd Verkehrssystem (DE-588)4187835-8 gnd |
| subject_GND | (DE-588)4187810-3 (DE-588)4187835-8 |
| title | Transportation systems engineering theory and methods |
| title_auth | Transportation systems engineering theory and methods |
| title_exact_search | Transportation systems engineering theory and methods |
| title_full | Transportation systems engineering theory and methods by Ennio Cascetta |
| title_fullStr | Transportation systems engineering theory and methods by Ennio Cascetta |
| title_full_unstemmed | Transportation systems engineering theory and methods by Ennio Cascetta |
| title_short | Transportation systems engineering |
| title_sort | transportation systems engineering theory and methods |
| title_sub | theory and methods |
| topic | Transportes larpcal Transportation engineering Verkehrsforschung (DE-588)4187810-3 gnd Verkehrssystem (DE-588)4187835-8 gnd |
| topic_facet | Transportes Transportation engineering Verkehrsforschung Verkehrssystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009551883&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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