Abstract: Using our recently developed quantum dissipation theory, we study the influence of dissipation on the population transfer efficiency between the stimulated Raman adiabatic passage (STIRAP) and the pump-dump passage in a simple three-level Λ system. By comparison, STIRAP is found to be relatively insensitive to the relaxation and fluctuation of the intermediate state. Numerical results also demonstrate the applicability of the new quantum dissipation theory for studying the correlated driving-dissipation dynamics problems.