New Analytic Solutions of Queueing System for Shared-Short Lanes at Unsignalized Intersections
Апстракт
Designing the crossroads capacity is a prerequisite for achieving a high level of service with the same sustainability in stochastic traffic flow. Also, modeling of crossroad capacity can influence on balancing (symmetry) of traffic flow. Loss of priority in a left turn and optimal dimensioning of shared-short line is one of the permanent problems at intersections. A shared-short lane for taking a left turn from a priority direction at unsignalized intersections with a homogenous traffic flow and heterogeneous demands is a two-phase queueing system requiring a first in-first out (FIFO) service discipline and single-server service facility. The first phase (short lane) of the system is the queueing system M(p lambda)/M(mu)/1/infinity, whereas the second phase (shared lane) is a system with a binomial distribution service. In this research, we explicitly derive the probability of the state of a queueing system with a short lane of a finite capacity for taking a left turn and shared lane ...of infinite capacity. The presented formulas are under the presumption that the system is Markovian, i.e., the vehicle arrivals in both the minor and major streams are distributed according to the Poisson law, and that the service of the vehicles is exponentially distributed. Complex recursive operations in the two-phase queueing system are explained and solved in manuscript.
Кључне речи:
Intersections / Lane capacity / Left turn / SustainabilityИзвор:
Symmetry-Basel, 2019, 11, 1Издавач:
- MDPI AG
Финансирање / пројекти:
- Истраживање техничко-технолошке, кадровске и организационе оспособљености Железница Србије са аспекта садашњих и будућих захтева Европске Уније (RS-MESTD-Technological Development (TD or TR)-36012)
DOI: 10.3390/sym11010055
ISSN: 2073-8994
WoS: 000459739500055
Scopus: 2-s2.0-85061100669
Институција/група
Arhitektonski fakultetTY - JOUR AU - Tanackov, Ilija AU - Dragić, Darko AU - Sremac, Siniša AU - Bogdanović, Vuk AU - Matić, Bojan AU - Milojević, Milica PY - 2019 UR - https://raf.arh.bg.ac.rs/handle/123456789/334 AB - Designing the crossroads capacity is a prerequisite for achieving a high level of service with the same sustainability in stochastic traffic flow. Also, modeling of crossroad capacity can influence on balancing (symmetry) of traffic flow. Loss of priority in a left turn and optimal dimensioning of shared-short line is one of the permanent problems at intersections. A shared-short lane for taking a left turn from a priority direction at unsignalized intersections with a homogenous traffic flow and heterogeneous demands is a two-phase queueing system requiring a first in-first out (FIFO) service discipline and single-server service facility. The first phase (short lane) of the system is the queueing system M(p lambda)/M(mu)/1/infinity, whereas the second phase (shared lane) is a system with a binomial distribution service. In this research, we explicitly derive the probability of the state of a queueing system with a short lane of a finite capacity for taking a left turn and shared lane of infinite capacity. The presented formulas are under the presumption that the system is Markovian, i.e., the vehicle arrivals in both the minor and major streams are distributed according to the Poisson law, and that the service of the vehicles is exponentially distributed. Complex recursive operations in the two-phase queueing system are explained and solved in manuscript. PB - MDPI AG T2 - Symmetry-Basel T1 - New Analytic Solutions of Queueing System for Shared-Short Lanes at Unsignalized Intersections VL - 11 IS - 1 DO - 10.3390/sym11010055 ER -
@article{ author = "Tanackov, Ilija and Dragić, Darko and Sremac, Siniša and Bogdanović, Vuk and Matić, Bojan and Milojević, Milica", year = "2019", abstract = "Designing the crossroads capacity is a prerequisite for achieving a high level of service with the same sustainability in stochastic traffic flow. Also, modeling of crossroad capacity can influence on balancing (symmetry) of traffic flow. Loss of priority in a left turn and optimal dimensioning of shared-short line is one of the permanent problems at intersections. A shared-short lane for taking a left turn from a priority direction at unsignalized intersections with a homogenous traffic flow and heterogeneous demands is a two-phase queueing system requiring a first in-first out (FIFO) service discipline and single-server service facility. The first phase (short lane) of the system is the queueing system M(p lambda)/M(mu)/1/infinity, whereas the second phase (shared lane) is a system with a binomial distribution service. In this research, we explicitly derive the probability of the state of a queueing system with a short lane of a finite capacity for taking a left turn and shared lane of infinite capacity. The presented formulas are under the presumption that the system is Markovian, i.e., the vehicle arrivals in both the minor and major streams are distributed according to the Poisson law, and that the service of the vehicles is exponentially distributed. Complex recursive operations in the two-phase queueing system are explained and solved in manuscript.", publisher = "MDPI AG", journal = "Symmetry-Basel", title = "New Analytic Solutions of Queueing System for Shared-Short Lanes at Unsignalized Intersections", volume = "11", number = "1", doi = "10.3390/sym11010055" }
Tanackov, I., Dragić, D., Sremac, S., Bogdanović, V., Matić, B.,& Milojević, M.. (2019). New Analytic Solutions of Queueing System for Shared-Short Lanes at Unsignalized Intersections. in Symmetry-Basel MDPI AG., 11(1). https://doi.org/10.3390/sym11010055
Tanackov I, Dragić D, Sremac S, Bogdanović V, Matić B, Milojević M. New Analytic Solutions of Queueing System for Shared-Short Lanes at Unsignalized Intersections. in Symmetry-Basel. 2019;11(1). doi:10.3390/sym11010055 .
Tanackov, Ilija, Dragić, Darko, Sremac, Siniša, Bogdanović, Vuk, Matić, Bojan, Milojević, Milica, "New Analytic Solutions of Queueing System for Shared-Short Lanes at Unsignalized Intersections" in Symmetry-Basel, 11, no. 1 (2019), https://doi.org/10.3390/sym11010055 . .