A purely stochastic Monte Carlo model is used to compare the relative
midair collision course probabilities and mean closing velocities of f
our systems of rules for aircraft cruising altitudes as a function of
altitude error: (1) current U.S. federal rules, (2) random altitudes,
and (3) two proposed alternatives to the current rules. This model inc
rements error while: (1) counting collisions among cruising pairs of a
ircraft following the four rules being tested on random headings betwe
en randomly placed airports, and (2) calculating mean closing velociti
es for each rule. The calculations verify that: (1) federal rules incr
ease collision course probabilities by about four times more than for
a chaotic system of aircraft cruising at randomly selected altitudes,
(2) risk is directly proportional to the level of compliance, and (3)
mean closing velocities resulting from the current rule are slightly l
ess than for random altitudes, while being almost twice as high as for
the proposed rules. High closing velocities are shown to increase the
collision probability.