  We study the population dynamics and quantum transport efficiency of a
multi-site dissipative system driven by a random telegraph noise (RTN) by using
a variational polaron master equation for both linear chain and ring
configurations. By using two different environment descriptions -- RTN only and
a thermal bath+RTN -- we show that the presence of the classical noise has a
nontrivial role on the quantum transport. We observe that there exists large
areas of parameter space where the combined bath+RTN influence is clearly
beneficial for populating the target state of the transport, and for average
trapping time and transport efficiency when accounting for the presence of the
reaction center via the use of the sink. This result holds for both of the
considered intra-site coupling configurations including a chain and ring. In
general, our formalism and achieved results provide a platform for engineering
and characterizing efficient quantum transport in multi-site systems both for
realistic environments and engineered systems.
