Mauro Calculation of Roundabouts

Capacity, Waiting Phenomena and Reliability
1. Auflage 2010
ISBN: 978-3-642-04551-6
Verlag: Springer
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)

E-Book, Englisch, 155 Seiten

Roundabouts have become one of the most significant traffic control measures because they are generally statistically safer and more efficient than traditional at grade intersections. This book is dedicated to the evaluation of the operating conditions of roundabouts. In five parts, it thoroughly illustrates the calculation of the capacity, including reliability, and waiting phenomena parameters, such as the times spent in the system and queue lengths. Fully worked examples are included throughout the chapters, with detailed explanations.

Autoren/Hrsg.

Mauro, Raffaele

Inhaltsverzeichnis

1;Calculation of Roundabouts;2
2;Preface;8
3;Acknowledgments;10
4;Contents;12
5;1 Calculation of Roundabouts: Problem Definition;14
5.1;1.1 Statistical Equilibrium and Steady-State Conditions;15
5.1.1;1.1.1 A Worked Example on Traffic Demand at a Roundabout;17
5.2;1.2 Capacity and Capacity Indices;20
5.3;1.3 Delays and Queue Lengths;22
5.4;References;26
6;2 Capacity Evaluation;27
6.1;2.1 Capacity Calculation at Steady-State Conditions;27
6.1.1;2.1.1 Brilon-Bondzio Formula (Germany);29
6.1.2;2.1.2 Bovy et al. Formula (Switzerland);31
6.1.3;2.1.3 TRRL Formula (United Kingdom);34
6.1.4;2.1.4 GIRABASE Formula (France);39
6.1.5;2.1.5 Brilon-Wu Formula (Germany);44
6.1.6;2.1.6 HCM 2000 Formula (USA);46
6.2;2.2 Exit and Circle Capacities;47
6.3;2.3 Consideration of Pedestrian Crosswalks;48
6.3.1;2.3.1 Entry Capacities in Presence of Pedestrian Crosswalks;49
6.3.1.1;2.3.1.1 Marlow and Maycock Formula;49
6.3.1.2;2.3.1.2 Brilon, Stuwe and Drews Formula;53
6.3.1.3;2.3.1.3 CETE de l'Ouest Formula;53
6.3.2;2.3.2 Exit Capacities in Presence of Pedestrian Crosswalks;56
6.4;2.4 Some Concluding Remarks on Capacity Formulations;56
6.5;2.5 Capacity Calculation at Saturation or Oversaturation Conditions of Entries;58
6.5.1;2.5.1 A Worked Example;59
6.6;2.6 Calculation Procedures for Simple Capacity and Total Capacity;64
6.6.1;2.6.1 A Worked Example;66
6.6.1.1;2.6.1.1 Simple Capacity Calculation;66
6.6.1.2;2.6.1.2 Total Capacity Calculation;67
6.7;References;68
7;3 Waiting Phenomena at Steady State and Non-steadyState Conditions;70
7.1;3.1 Some Results of Probabilistic Analysis of Queues;71
7.1.1;3.1.1 Some Remarkable Results;72
7.1.1.1;3.1.1.1 Poissonian Arrivals and Exponential Service Times;75
7.1.1.2;3.1.1.2 Poissonian Arrivals and Deterministic Service Times;75
7.1.2;3.1.2 Concluding Remarks;76
7.2;3.2 Deterministic Analysis of Queues;78
7.2.1;3.2.1 A Worked Example;81
7.2.2;3.2.2 Some Remarkable Results;85
7.2.2.1;3.2.2.1 First Remarkable Case and a Worked Example;85
7.2.2.2;3.2.2.2 Second Remarkable Case and Worked Examples;89
7.2.3;3.2.3 Further Expressions of the Average Waiting Times;97
7.2.4;3.2.4 Concluding Remarks;98
7.3;3.3 Time-Dependent Solutions and Waiting Phenomena;99
7.3.1;3.3.1 Time-Dependent Solutions for the Number of Users in the System and in the Queue. A Worked Example;102
7.3.2;3.3.2 Time-Dependent Solutions for the Average Time Spent in the System and in the Queue. A Worked Example;105
7.3.3;3.3.3 Generalized Time-Dependent Solutions;108
7.3.4;3.3.4 Time-Dependent Solutions for Traffic Peaks Between Two Periods at Steady-State Conditions;109
7.3.5;3.3.5 Concluding Remarks;115
7.4;References;116
8;4 Calculation of Waiting Times, Queue Lengths,and Levels of Service;117
8.1;4.1 State Evolutions with Undersaturated Entries;117
8.1.1;4.1.1 First Worked Example;121
8.1.2;4.1.2 Second Worked Example;126
8.2;4.2 State Evolution with Saturated or Oversaturated Entries;131
8.2.1;4.2.1 First Worked Example;133
8.2.2;4.2.2 Second Worked Example;142
8.3;4.3 Evaluation of Levels of Service;142
8.4;References;147
9;5 Evaluation of Roundabout Reliability;148
9.1;5.1 Reliability and Performance Functions;148
9.2;5.2 General Calculation Procedure of Reliability;152
9.2.1;5.2.1 A Worked Example;154
9.3;5.3 Approximated Calculation Procedure of Reliability;159
9.3.1;5.3.1 A Worked Example;162
9.4;5.4 Some Remarks;163
9.5;References;165
10;Index;166