In this paper, a two stage production inventory model for non-deteriorating items with a constant demand rate and completely backlogged is presented. The production rate of the model is assumed to be a constant and to be proportional to demand rate. Each cycle time of the developed model is partitioned in four different time stages. The optimum total inventory cost per cycle and the optimum time for each stage are determined. The proposed model is illustrated with a numerical example and it has been analyzed sensitively with respect to each one of its parameters.
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Journal of Applied & Computational Mathematics received 1282 citations as per Google Scholar report