  A dynamical system is considered, which comprises an $n$-dimensional lattice
$N_1 \times N_2 \times \dots \times N_n$ with periodic boundary conditions.
Particles traverse this lattice following a variant of the
Biham--Middleton--Levine (BML) traffic model's particle movement rules. We have
proved that the BML model, when treated as a dynamical system, constitutes a
specialized class of a Buslaev net. This equivalence allows us to employ
established Buslaev net analysis techniques to investigate the BML model. In
Buslaev nets conception the self-organization property of the system
corresponds to the existance of velocity single point spectrum equal to 1. One
notable aspect of the model under consideration is that particles can change
their type with a certain probability. For simplicity, we assume a constant
probability $q$ that a particle changes type at each step. In the l case where
$q=0$, the system corresponds to the classical version of the BML model. We
define a state of the system where all particles continue to move indefinitely,
both in the present and the future, as a state of free movement. A sufficient
condition for the system to result in a state of free movement from any initial
state (condition for self-organization) has been found. This condition is that
the number of particles be not greater than half the greatest common divisor of
the numbers $N_1$ $N_2,\dots,N_n.$
