This paper is concerned with the analysis of locally time-synchronized
slot systems for
broadcast in packet radio networks. Local synchronization has been proposed
in
practice
as less expensive than global synchronization over very wide areas, or
over
mobile networks.
In the case of two locally coordinated groups of stations, under the assumption
that the
phase shift on the clocks between the two groups is random, it is shown
that
the probability
of no collision is maximized when occupied slots within each group are
chosen
consecutively,
regardless of the number of total slots, or the number of occupied slots
in
either group.