Since the introduction of the 1985 High way Capacity Manual,’ there has been much discussion concerning its application. This is especially true in Southern California, where most government agencies and consultants have not yet agreed on a methodology for calculating signalized intersection capacity and level of service (LOS). Current methodologies include the 1985 Highway Capacity Manual (HCM...

We give potential theoretic estimates for the probability that a set A contains a double point of planar Brownian motion run for unit time. Unlike the probability for A to intersect the range of a Markov process, this cannot be estimated by a capacity of the set A. Instead, we introduce the notion of a capacity with respect to two gauge functions simultaneously. We also give a polar decompositi...

Gap-acceptance capacity models apply to the analysis of minor movements at two-way stop and give-way (yield) sign-controlled intersections, entry streams at roundabouts and opposed (permitted) turns at signalised intersections. The same modelling principles apply to all these cases with different model parameters representing the intersection geometry, control and driver behaviour at different ...

A proper non-empty subset C of the points of a linear space S = (P; L) is called line-closed if any two intersecting lines of S , each meeting C at least twice, have their intersection in C. We show that when every line has k points and every point lies on r lines the maximum size for such sets is r + k ? 2. In addition it is shown that this cannot happen for projective spaces PG(n; q) unless q...

The station location problem consists of placing new stations along the railway tracks of an existing network in order to increase the number of users. In this paper we consider the problem for a railway network consisting of two intersecting lines forming an angle α. An approach for solving the problem in polynomial time for sufficiently large angles α is presented.

Micro-simulation models are rapidly gaining acceptance as promising tools to analyse and evaluate ITS and other traffic control and management measures. Capacity is a primary concept in most of traffic engineering studies, however micro-simulation models generally ignore this concept. There are significant numbers of studies on capacity analysis based on analytical approaches including Highway ...

Vehicle delay at a signalized intersection is among the widely used performance measures of efficiency at a signalized intersection. The Highway Capacity Manual (HCM) uses this performance measure to report the level of service at a signalized intersection. This performance measure is also used to estimate travel time along the arterials. With the advent of technological advances in the field o...

C and delay are two major parameters for evaluating intersection operations. While models and procedures are available to estimate these parameters given some other easily obtainable traffic flow parameters, traffic engineers often have to conduct field measurements to verify the results given by available models and procedures. Capacity and delay models are provided by the 1994 update of the H...

The paper studies the complementarity of the methods from the field of traffic flow theory: methods of traffic flow intersecting intensity and the method for the at-grade intersection capacity analysis. Apart from checking mutual implications of these methods, the proportionality of mutual influences is assessed. Harmonized application of these methods acts efficiently on the entire traffic net...

Proofs of NP-hardness of the maximum k-intersection, edge labeled multigraph max capacity k-path, and max factor k-gcd problems are presented.