As computers inevitably begin to replace humans as the drivers of automobiles, our current human-centric traffic management mechanisms will give way to hyper-efficient systems and protocols specifically designed to exploit the capabilities of fully autonomous vehicles. We have introduced such a system for coordinating large numbers of autonomous vehicles at intersections [4, 5]. Our experiments...

when the degree of saturation at intersection approaches one, webster’s optimum cycle length equation becomes inapplicable, because the cycle length will becomes very big when the degree of saturation approaches one and will be fully unrealistic when the degree of saturation becomes greater than one. this is not a problem for hcm2000 method. but optimum cycle length calculation in this method h...

We study the dynamics near transverse intersections of stable and unstable manifolds of sheets of symmetric periodic orbits in reversible systems. We prove that the dynamics near such homoclinic and heteroclinic intersections is not C1 structurally stable. This is in marked contrast to the dynamics near transverse intersections in both general and conservative systems, which can be C1 structura...

0.1. Topological properties of intersections of pairs and, more generally, of k-tuples of Schubert cells belonging to distinct Schubert cell decompositions of a flag space are of particular importance in representation theory and have been intensively studied during the last 15 years, see e.g. [BB, KL1, KL2, De1, GS]. Intersections of certain special arrangements of Schubert cells are related d...

Let M ⊂ [n] := {0, . . . , n} and A be a family of subsets of an n element set such that |A∩B| ∈M for every A,B ∈ A. Suppose that l is the maximum number of consecutive integers contained in M and n is sufficiently large. Then |A| < min{1.62210 , 2 log 2 }. The first bound complements the previous bound of roughly (1.99)n due to Frankl and the second author [9] proved under the assumption that ...

The question about continuous phase transitions (without latent heat) is investigated from the general thermodynamical point of view. In doing this, it becomes clear that such transitions can take place when the symmetry of the lattice changes. There are two possible types of transition, namely: (1) Curie points with a discontinuity in the specific heat which lie on a curve in the p, T -diagram...

It is necessary to objectively quantify how well roadways accommodate pedestrian travel. Estimation of pedestrian level of service (LOS) is the most common approach to assess quality of operations of pedestrian facilities. Intersections, by their very nature, are locations where there is considerable potential for conflict between different traffic streams and different users. At busy intersect...

A system of signalized intersections is a critical element in the smooth operation of both arterial and urban street facilities. The amount of vehicular and pedestrian traffic which can be processed by a system of intersections depend on a) characteristics of the traffic and pedestrian stream, b) traffic control measures, c) various physical and operating characteristics of the roadway and d) t...

BACKGROUND Human behaviour is an obvious, yet under-studied factor in pedestrian injury. Behavioural interventions that address rule violations by pedestrians and motorists could potentially reduce the frequency of pedestrian injury. In this study, a method was developed to examine road-rule non-compliance by pedestrians and motorists. The purpose of the study was to examine the potential assoc...

This paper is a survey of the upper bounds on the complexity of basic algebraic and geometric operations with Pfaffian and Noetherian functions, and with sets definable by these functions. Among other results, we consider bounds on Betti numbers of sub-Pfaffian sets, multiplicities of Pfaffian intersections, effective Lojasiewicz inequality for Pfaffian functions, computing frontier and closure...