AbstractThis paper attempts to show that the iterative methods that are used to solve a class of reorder point inventory models can be replaced by some non-iterative method. The method is described in general terms and two sufficient conditions are derived to check if the method applies to a model. As illustrations, two time-weighted backorder models are considered and they are solved for Normal and Gamma leadtime demand by the proposed method. It is observed that some of the computational advantages of the method also carry over to a class of multi-item models.