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The problem of modeling road traffic, when the drivers do not obey lane discipline, in considered. Identical vehicles are assumed to influence each other based on proximity and visual feedback. This percolation of influence across suitably defined layers of vehicles, in modeled using weighted directed graphs. Drivers accelerate, decelerate or maneuver sideways with the objective of maintaining safe...
We consider the problem of minimising the number of measurements that sensors report when they are tracking dynamic boundaries or contours. Toward this, we consider spatiotemporal model for the evolution of a dynamic boundary where the y-coordinates are assumed to vary like correlated Brownian motion with drift. Sensors sample the points on the contour and when queried, they report the y-coordinate...
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