  We propose a simple, yet feasible, model for quantum transport of fermionic
carriers across tight-binding chain connecting two reservoirs maintained at
arbitrary temperatures and chemical potentials. The model allows for elementary
derivation of the master equation for the reduced single particle density
matrix in a closed form in both Markov and Born approximations. In the Markov
approximation the master equation is solved analytically, whereas in the Born
approximation the problem is reduced to an algebraic equation for the single
particle density matric in the Redfield form. The non-Markovian equation is
shown to lead to resonant transport similar to Landauer's conductance.
