We consider a type of optimal switching problems with non-uniform execution delays and ramping.Such problems frequently occur in the operation of economical andengineering systems. We first pro-vide a solution to the problem by applying a probabilistic method. The main contribution is, however,a scheme for approximating the optimal control by limiting the information in the state-feedback.In a numerical example the approximation routine gives a considerable computational performanceenhancement, when compared to a conventional algorithm.