Production planning towards the end of a product life cycle

Previously published papers have derived optimal policies forreplenishing stock when demand is declining according to somedeterministic law. Here we elaborate on that work, providinga full analysis, and extend the analysis back in time by consideringthe period of relatively level demand which is likely to havepreceded the period of decline in demand. We show how optimalinventory replenishment policies extending back to this periodof level demand can be derived.