  Stochastic differential equation (SDE) models have been extensively used for
the description of processes with uncertainties arising in the queueing theory
and behavioral sciences. A large class of the problems from these domains is
characterized by the necessity to deal with several distinct groups of
populations, which are usually labeled as "active" and "passive". Motivated by
important applications of queueing network models, the main focus of the
present work is on the analysis of reflecting stochastic dynamics of such mixed
populations. This analysis is carried out via coupled systems of SDEs in a
numerical setting where we apply a kinetic Monte Carlo procedure. We provide
details of the model, as well as a representative numerical example, and
discuss an intrinsic interconnection between active and passive customers in
the underlying stochastic process. Finally, possible extensions of the proposed
methodology have been highlighted.
