Publication detail

Statistical aspects of gap-acceptance theory for unsignalized intersection capacity

Milan Krbálek, Tomáš Hobza, Miroslav Patočka, Michaela Krbálková, Jiří Apeltauer, Nikola Groverová

Original Title

Statistical aspects of gap-acceptance theory for unsignalized intersection capacity

Type

journal article in Web of Science

Language

English

Original Abstract

We partially correct and significantly deepen the Siegloch’s method (1973), which is currently used to determine the capacity of unsignalized intersections. Taking into account current knowledge about microstructure of vehicular traffic flows we suggest Generalized Inverse Gaussian distribution as a theoretically and empirically substantiated alternative to the exponential distribution of priority-stream clearances, considered in Siegloch’s original methodology. Furthermore, we formulate a statistical model for gap-acceptance theory and present a series of validated theoretical calculations leading to general formulas for proportion and statistical distribution of priority-stream clearances that exactly minor-stream vehicles have utilized for their inclusion maneuver (accepted-clearance distribution of order ). Using up-to-date empirical data-sets we test hypotheses of priority-stream clearance-distribution and analyze sample acceptance-ratios and empirical distribution of accepted clearances. By means of an original concept we finally estimate an implicit acceptance-rule, with the help of which a minor-street driver is deciding on acceptance/rejection of an offered priority-clearance.

Keywords

Gap acceptanceUnsignalized intersectionVehicular Headway modellingIntersection capacitySiegloch’s methodology

Authors

Milan Krbálek, Tomáš Hobza, Miroslav Patočka, Michaela Krbálková, Jiří Apeltauer, Nikola Groverová

Released

11. 2. 2022

Publisher

Elsevier B.V.

Location

Nizozemí

ISBN

0378-4371

Periodical

Physica A

Year of study

594

Number

127043

State

Kingdom of the Netherlands

Pages from

1

Pages to

19

Pages count

19

URL

https://www.sciencedirect.com/science/article/abs/pii/S0378437122001078

BibTex

@article{BUT177211,
  author="Miroslav {Patočka} and Jiří {Apeltauer} and Milan {Krbálek} and Tomáš {Hobza} and Michaela {Krbálková} and Nikola {Groverová}",
  title="Statistical aspects of gap-acceptance theory for unsignalized intersection capacity",
  journal="Physica A",
  year="2022",
  volume="594",
  number="127043",
  pages="1--19",
  doi="10.1016/j.physa.2022.127043",
  issn="0378-4371",
  url="https://www.sciencedirect.com/science/article/abs/pii/S0378437122001078"
}