A 98%-effective lot-sizing rule for a multi-product, multi-stage production/inventory system
Mathematics of Operations Research
Mathematics of Operations Research
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This paper considers a two-stage inventory system where customer demand arises at stage 1, stage 1 replenishes its inventory from stage 2, and stage 2 orders from an outside supplier with unlimited stock. Customer demand is assumed to arrive continuously at a constant rate and is backlogged when stage 1 runs out of stock. There are economies of scale in transferring inventories from the outside supplier to stage 2 or from stage 2 to stage 1. We show that (R,Q) policies are 86%-effective. Numerical examples are provided to further demonstrate the cost effectiveness of (R,Q) policies.