Abstract
Traffic-light modelling is a complex task, because many factors have to be taken into account. In particular, capturing all traffic flows in one model can significantly complicate the model. Therefore, several realistic features are typically omitted from most models. We introduce a mechanism to include pedestrians and focus on situations where they may block vehicles that get a green light simultaneously. More specifically, we consider a generalisation of the Fixed-Cycle Traffic-Light (FCTL) queue. Our framework allows us to model situations where (part of the) vehicles are blocked, e.g. by pedestrians that block turning traffic and where several vehicles might depart simultaneously, e.g. in case of multiple lanes receiving a green light simultaneously. We rely on probability generating function and complex analysis techniques which are also used to study the regular FCTL queue. We study the effect of several parameters on performance measures such as the mean delay and queue-length distribution.
Original language | English |
---|---|
Pages (from-to) | 1-36 |
Number of pages | 36 |
Journal | Transportmetrica A: Transport Science |
Volume | 20 |
Issue number | 1 |
Early online date | 19 Oct 2022 |
DOIs | |
Publication status | Published - 2024 |
Funding
The work in this paper is supported by the Netherlands Organization for Scientific Research (NWO) (Stichting voor de Technische Wetenschappen) [grant number 438-13-206]. We would like to thank Onno Boxma for several interesting discussions that a.o. improved the readability of this manuscript. We are also thankful to Joris Walraevens who suggested the current exposition of the PGF recursion and to the reviewers who suggested several improvements of the paper.
Funders | Funder number |
---|---|
Nederlandse Organisatie voor Wetenschappelijk Onderzoek | |
Stichting voor de Technische Wetenschappen | 438-13-206 |
Keywords
- capacity analysis
- fixed-cycle traffic-light queue
- pedestrian crossings
- queueing theory
- Traffic-light modelling