Journal ArticleDOI
Modeling probability distribution of delay at signalized intersections
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TLDR
In this article, a stochastic model was used to study the changing probability distribution delay, which is based on sequential calculation of queue length probabilities with any type of arrival process.Abstract:
Accurate estimation of vehicle delay is difficult because of the randomness of traffic flow and large number of factors affecting intersection capacity. Existing delay models simplify the real traffic conditions and provide only approximate point estimates of average delay, whereas its variability should also be of interest. A stochastic model was used to study the changing probability distribution delay. The model is based on sequential calculation of queue length probabilities with any type of arrival process. Delay probability distribution was investigated for different degrees of saturation, arrival types and control conditions. The variance of delay increases rapidly with degree of saturation and is inversely proportional to the approach capacity. Other parameters such as cycle time and saturation flow do not have a significant effect on delay distribution. Both the mean and variance of delay are sensitive to arrival process characteristics and increase with the variance of arrivals.read more
Citations
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Journal ArticleDOI
Delay Variability at Signalized Intersections
Liping Fu,Bruce Hellinga +1 more
TL;DR: The development of an analytical model for predicting the variance of overall delay is described, constructed on the basis of the delay evolution patterns under two extreme traffic conditions: highly undersaturated and highly oversaturated conditions.
Journal ArticleDOI
Queuing Models for Analysis of Traffic Adaptive Signal Control
Pitu B. Mirchandani,Ning Zou +1 more
TL;DR: In this article, a queuing model is developed for a simplified adaptive control strategy that is based on rolling horizon scheme, in which a signal serves two movements alternatively, and this cyclic process repeats.
Journal ArticleDOI
Probabilistic models for queues at fixed control signals
Francesco Viti,Henk J van Zuylen +1 more
TL;DR: A new probabilistic queuing model is presented that can explain the dynamic and stochastic behaviour of queues at fixed controlled signals and shows very good consistency both under the assumption of stationary and non-stationary arrival distributions.
The dynamics and the uncertainty of delays at signals
TL;DR: In this article, the authors describe the process made in the computerized modeling of queues and delays at traffic signals and describe the effect of the variability of the arrivals in the service time process.
Journal ArticleDOI
Uncertainty and Predictability of Urban Link Travel Time: Delay Distribution–Based Analysis
Fangfang Zheng,Henk J van Zuylen +1 more
TL;DR: A probabilistic delay distribution model with stochastic arrivals and departures is proposed to investigate delay uncertainty in both undersaturated and oversaturated conditions and shows that different arrival patterns have little influence on the delay distribution in undersaturated conditions, although they have significant influence in overs saturated conditions.
References
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Journal Article
The highway capacity manual delay formula for signalized intersections
TL;DR: In this paper, the authors compared the 1985 U.S. Highway Capacity Manual delay formula for signalized intersections with Australian and Canadian formulas, and presented a generalized form that incorporates them all.
Journal ArticleDOI
Overall Delay, Stopped Delay, and Stops at Signalized Intersections
TL;DR: In this article, it was shown that for the uniform delay component, the delay ratio is in fact a function of red-period duration and deceleration-acceleration delay, and the value of the latter parameter was measured and found to have a mean of 8.6 s.
Journal Article
Delays at fixed-time traffic signals under time-dependent traffic conditions
Werner Brilon,Ning Wu +1 more
TL;DR: In this article, the idea of Markov chains has been employed to calculate delays on a numerically-exact basis, but there is a remarkable discrepancy between the results of the results.
Journal Article
Oscady: a computer program to model capacities, queues and delays at isolated traffic signal junctions
TL;DR: In this article, a computer program, OSCADY, is developed to model capacities, queues and delays at isolated traffic signal junctions, which can be used on most types of computers (including micro-computers).