  Following the ideas N. N. Bogoliubov used to derive the classical and quantum
nonlinear kinetic equations, we give an alternative derivation of the Redfield
quantum linear master equation, which is widely used in the theory of open
quantum systems, as well as higher-order corrections to it. This derivation
naturally considers initially correlated system-reservoir states arising from
the previous system-reservoir dynamics. It turns out that the Redfield equation
does not require any modifications in this case. The expressions of
higher-order corrections are simpler than those obtained by other methods.
