Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification

Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Elementary cellular automata (ECA) rule 184 can be used as mathematical models of traffic flows. The slow-to-start model is obtained from the ECA rule 184 model by taking time lag for restart into consideration and is represented by 3-state 3-neighbor cellular automata (CA). In the present paper, we propose a traffic model where vehicles following the slow-to-start rule and those not following the slow-to-start rule are mixed. This model, called the mixed slow-to-start model, is represented by 4-state 3-neighbor CA. Further, we introduce the vector representation of CA with the slow-to-start rule and with the mixed slow-to-start rule, and then get their corresponding fuzzy CA. These fuzzy CA provide continuous-valued traffic models with the slow-to-start effect. Comparing the fundamental diagrams of the the slow-to-start model, the mixed slow-to-start model, and their fuzzy counterparts, we investigate the influence of the density and the mixing ratio of vehicles on traffic jams.

Original languageEnglish
Title of host publication7th International Conference on Mathematics - Pure, Applied and Computation
Subtitle of host publicationMathematics of Quantum Computing
EditorsMuhammad Syifa�ul Mufid, Dieky Adzkiya
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735442917
DOIs
Publication statusPublished - 2022 Dec 19
Event7th International Conference on Mathematics: Pure, Applied and Computation: , ICoMPAC 2021 - Surabaya, Indonesia
Duration: 2021 Oct 2 → …

Publication series

NameAIP Conference Proceedings
Volume2641
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference7th International Conference on Mathematics: Pure, Applied and Computation: , ICoMPAC 2021
Country/TerritoryIndonesia
CitySurabaya
Period21/10/2 → …

ASJC Scopus subject areas

  • General Physics and Astronomy

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