  We performed extensive simulations accompanied by a detailed study of a
two-segment size random sequential model on the line. We followed the kinetics
towards the jamming state, but we paid particular attention to the
characterization of the jamming state structure. In particular, we studied the
effect of the size ratio on the mean-gap size, the gap-size dispersion,
gap-size skewness, and gap-size kurtosis at the jamming state. We also analyzed
the above quantities for the four possible segment-to-segment gap types. We
ranged the values of the size ratio from one to twenty. In the limit of a size
ratio of one, one recovers the classical car-parking problem. We observed that
at low size ratios the jamming state is constituted by short streaks of small
and large segments, while at high values of the size ratio the jamming state
structure is formed by long streaks of small segments separated by a single
large segment. This view of the jamming state structure as a function of the
size ratio is supported by the various measured quantities. The present work
can help provide insight, for example, on how to minimize the interparticle
distance or minimize fluctuations around the mean particle-to-particle
distance.
