  How can the quality of a mobile ad hoc network (MANET) be quantified? This
work aims at an answer based on the lower network layers, i.e. on connectivity
between the wireless nodes, using statistical methods. A number of different
quality measures are introduced and classified according to their scaling
behaviour. They are analysed in a statistical model of a 1-dimensional MANET
system (corresponding e.g. to cars on a road). Neglecting boundary effects, the
model turns out to be exactly solvable, so that explicit analytical results for
the quality levels can be obtained both at fixed system size and in the limit
of large systems. In particular, this improves estimates known in the
literature for the probability of connectedness of 1-dimensional MANETs.
