Mathematical theories of traffic flow / Frank A.Haight.

Format:

Book

Author/Creator:

Haight, Frank A.

Series:

Mathematics in science and engineering ; v. 7.

Mathematics in science and engineering ; v. 7

Language:

English

Subjects (All):

Traffic surveys.

Queuing theory.

Probabilities.

Physical Description:

1 online resource (255 p.)

Place of Publication:

New York : Academic Press, 1963.

Language Note:

English

Summary:

Mathematical theories of traffic flow

Contents:

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 Service2.6 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 Introduction4.2 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 Cases5.8 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 Conjectures7.7 Queueing Model; 7.8 Comment; Supplementary References; Author Index; Subject Index

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

ISBN:

1-282-28976-4

9786612289767

0-08-095515-0

OCLC:

316566889