Analytical evaluation of the use of left-turn phasing for single left-turn lane only

Yang, Qiaoli; Shi, Zhongke; Yu, Son-Cheol; Zhou, Jie

doi:10.1016/j.trb.2018.03.013

Cited by 30 publications

(13 citation statements)

References 53 publications

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“…The approximation for the service rate of a left turn as an exponential distribution of intensity µ is not very effective for a queueing system at unsignalized intersections owing to the dispersed data points. However, for the first complete analytical solution of the complex recursive operations, it is necessary to remain in the Markovian domain [12,[32][33][34]. Thus, the service rate exponential distribution has been adopted here, and its derived solutions have a complete theoretical and practical relevance.…”

Section: Limiting Analytic Framework Of a Queueing Systemmentioning

confidence: 99%

“…From the balance equations of the steady-state of the system in (12), the relations between the probabilities and sums of the series of the geometric products of the probabilities are obtained, as given in (13).…”

Section: Solving Queueing Systems With Only An Infinite-capacity Sharmentioning

confidence: 99%

“…From the second relation of the sums in (14), we can obtain expression (16). (16) From the second balance equation in (12) of the steady-state, expression (17) can be obtained.…”

Section: Solving Queueing Systems With Only An Infinite-capacity Sharmentioning

confidence: 99%

“…Apart from Markovian queuing systems non-Markovian queuing systems can be found on signalized intersections [10]. Key spot in these solutions is presented in the form of shared-short Lanes for the left turn [11,12].…”

Section: Introductionmentioning

confidence: 99%

“…From each state j∈ [1, k], k∈N, intensity of the vehicle service "μ" "spills" according to the partial geometric dependence defined in (11). The system of balance equations of the corresponding steady-state is given in (12), k∈N. The system of balance equations of the corresponding steady-state is given in (12), k∈N.…”

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confidence: 99%

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New Analytic Solutions of Queueing System for Shared–Short Lanes at Unsignalized Intersections

et al. 2019

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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(pλ)/M(μ)/1/∞, 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.

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Section: Limiting Analytic Framework Of a Queueing Systemmentioning

confidence: 99%

Section: Solving Queueing Systems With Only An Infinite-capacity Sharmentioning

confidence: 99%

“…From the second relation of the sums in (14), we can obtain expression (16). (16) From the second balance equation in (12) of the steady-state, expression (17) can be obtained.…”

Section: Solving Queueing Systems With Only An Infinite-capacity Sharmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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New Analytic Solutions of Queueing System for Shared–Short Lanes at Unsignalized Intersections

et al. 2019

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What can be Expected from Mergers After Deregulation? The Case of the Long-Distance Bus Industry in France

Blayac

Bougette

2022

Rev Ind Organ

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This study estimates the competitive effects of horizontal mergers in the French long-distance bus industry. We examine the two mergers that followed the 2015 Deregulation Act (the Macron Law); we use an exclusive and exhaustive dataset that covers eight consecutive quarters. We analyze the merger effects by comparing bus links that were affected by mergers with those that were unaffected; we use difference-in-differences estimations. We find that the two mergers are associated with price increases of about 13.5% immediately that then moderate to 5.3%; and with the frequency decreases from − 21.5 to − 25.7%; we observe no effects on load factors. These findings show evidence of short-run anticompetitive effects, while the mergers under study were not scrutinized by the French competition agency, as they were below the notification thresholds.

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Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections

Yang

Shi

2018

Physica A: Statistical Mechanics and its Applications

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Analytical evaluation of the use of left-turn phasing for single left-turn lane only

Cited by 30 publications

References 53 publications

New Analytic Solutions of Queueing System for Shared–Short Lanes at Unsignalized Intersections

New Analytic Solutions of Queueing System for Shared–Short Lanes at Unsignalized Intersections

What can be Expected from Mergers After Deregulation? The Case of the Long-Distance Bus Industry in France

Effects of the design of waiting areas on the dynamic behavior of queues at signalized intersections

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