Mathematical Theories of Traffic Flow
Published on 14. May 2014
255 pages
978-0-08-095515-5 (ISBN)
Description
Mathematical Theories of Traffic Flow
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095515-5 (9780080955155)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Frank A. Haight
Mathematical Theories of Traffic Flow
Book
12/1963
Academic Press
€73.04
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Content
- Front Cover
- Mathematical Theories of Traffic Flow
- Copyright Page
- Preface
- Contents
- Chapter 1. Probability and Statistics
- 1.1 Introduction
- 1.2 Discrete Distributions
- 1.3 Random Points on a Line
- 1.4 Continuous Distributions
- 1.5 Mixed Distributions
- 1.6 Cumulative Distributions
- 1.7 Moments and Expectation
- 1.8 Bivariate Distributions
- 1.9 Auxiliary Functions
- 1.10 Distribution of Independent Sums
- 1.11 Comment
- Chapter 2. Theory of Queues
- 2.1 Stochastic Processes
- 2.2 Fundamental Definitions
- 2.3 Random Arrivals and Departures
- 2.4 Random Arrivals
- 2.5 Random Arrivals
- Regular Service
- 2.6 Busy Period
- 2.7 Mean Values
- 2.8 Generalizations
- 2.9 Comment
- Chapter 3. Fundamental Characteristics of Road Traffic
- 3.1 Introduction
- 3.2 The Fundamental Diagram of Road Traffic
- 3.3 Statistical Deduction of Fundamental Diagram
- 3.4 Car Following Deduction of Fundamental Diagram
- 3.5 Fluid Analogy Deduction of Fundamental Diagram
- 3.6 Experimentally Obtained Forms for Fundamental Diagram
- 3.7 Comparison of Flow Density Relationships
- 3.8 Car Following for Cases IV, V, VI, and VII
- 3.9 A Fifth Boundary Condition
- 3.10 Comment
- Chapter 4. Arrangement of Cars on a Road
- 4.1 Introduction
- 4.2 Starting Density
- 4.3 Gap-Counting Relationships
- 4.4 Erlang Process for Headway
- 4.5 Translated Distributions for Spacing
- 4.6 Compound Gap Distributions
- 4.7 Velocity Distributions in Space and Time
- 4.8 Asymptotic Results
- 4.9 Renewal Theory
- 4.10 Continuous Traffic
- 4.11 Dependent Gaps
- 4.12 Comment
- Chapter 5. The Simple Delay Problem
- 5.1 Introduction
- 5.2 Pedestrians Delayed by General Traffic
- 5.3 Pedestrians Delayed by Random Traffic
- 5.4 Randomly Arriving Pedestrians
- 5.5 Blocks and Unblocks
- 5.6 Delayed Vehicles
- General Formulation
- 5.7 Delayed Vehicles
- Special Cases
- 5.8 Delayed Vehicles
- Integral Equation Method
- 5.9 Delayed Vehicles
- Bulk Service Model
- 5.10 Delayed Vehicles
- Discrete Time Model
- 5.11 Comment
- Chapter 6. Miscellaneous Problems
- 6.1 Introduction
- 6.2 Choice of Traffic Light Phases
- 6.3 Left Turning
- 6.4 Multilaned Highways
- 6.5 Sequences of Traffic Controls
- 6.6 Parking
- 6.7 Merging
- 6.8 Bottleneck
- 6.9 The Rush Hour
- 6.10 Comment
- Chapter 7. A Two Lane Road
- 7.1 Introduction
- 7.2 Various Speed Distributions
- 7.3 Typical Cycle for a Vehicle
- 7.4 Zero-One Model
- 7.5 Isoveloxic Traffic
- 7.6 Distributed Speeds
- Following Time Conjectures
- 7.7 Queueing Model
- 7.8 Comment
- Supplementary References
- Author Index
- Subject Index
