Single and multistage production lot sizing with work-in-process inventory considerations

This paper modifies the single end item production lot sizing model with the explicit incorporation of the effects of conversion of input to output at finite rates and the resulting work-in-process inventories, for both single stage and multistage production/inventory systems, under deterministic conditions. We show that the single stage model is a special case of the more general multistage model and illustrate our results through simple numerical examples.