β Scribed by Denos C. Gazis; George H. Weiss
No coin nor oath required. For personal study only.
We consider a model of non-interacting two-way tra~c for the design of a sequence of two consecutive tra~c lights. In order to calculate the optimal offset we maximize the probability of traversing the system without stopping and assume a given travel time distribution. The results are compared to the current engineering design.
The conventional engineering design of a sequence of traffic lights assumes that all cars travel at the same speed as they progress through the system (1). Newell (2) and Grace and Potts (3) have tried to take variations in driver behavior into account by assuming that each driver has a constant desired speed sampled from a probability distribution. On this assumption there is no crowding effect on the speed distribution, which is equivalent to ther equirement of light traffic. Newell proposed a design criterion based on the expected travel time through a sequence of lights. The calculations for this design criterion are quite complicated except in certain limiting cases. Grace and Potts considered the diffusion of a platoon of cars starting from a single light, assuming a Gaussian speed distribution. They then estimated the proportion of cars stopped by the next light, for various green times and for different offsets.
π SIMILAR VOLUMES
## Abstract Advective solute travel times and their distributions in hydrological catchments are useful descriptors of the dynamics and variation of the physical mass transport among and along the different sourceβtoβrecipient pathways of solute transport through the catchments. This article invest