We calculate the distribution of the distance headways (i.e., the instantaneous gap between successive vehicles) as well as the distribution of instantaneous distance between successive jams in the Nagel-Schreckenberg (NS) model of vehicular traffic. When the maximum allowed speed, Vmax, of the...

A repairable system is composed of components ofI types. A component can be loaded, put on standby, queued or repaired. The repair facility is here assumed to be a queueing system of a rather general structure though interruption of repairs is not allowed. Typei components possess a lifetime...

The notion of sexual cannibalism is introduced in a simple model of population growth derived from the Bernardes model (J. Phys. I 5 (1995) 1501). The effect of sexual cannibalism is studied at the level of a population of individuals. Even in presence of cannibalism, a population can survive...

This paper is a set of notes about work in progress. Since the work is directed toward scaling, it seems quite appropriate to report this in a context devoted to Ben Widom's scientific contributions.

A repairable system is composed of components ofI types. A component can be loaded, put on standby, queued or repaired. The repair facility is here assumed to be a queueing system of a rather general structure though interruption of repairs is not allowed. Typei components possess a lifetime...

We prove bounds on the diffusion constant for the Rubinstein-Duke model by means of a variational formula. The leading term decreases quadratically with the length of the polymer chain. The coefficient of proportionality agrees with the one for the model with periodic boundary conditions. The...