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IMA Journal of Management Mathematics 1999 10(2):165-176; doi:10.1093/imaman/10.2.165
© 1999 by Institute of Mathematics and its Applications
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Production planning towards the end of a product life cycle

ROGER M. HILL

School of Mathematical Sciences, University of Exeter Exeter EX4 4QE, UK

Previously published papers have derived optimal policies for replenishing stock when demand is declining according to some deterministic law. Here we elaborate on that work, providing a full analysis, and extend the analysis back in time by considering the period of relatively level demand which is likely to have preceded the period of decline in demand. We show how optimal inventory replenishment policies extending back to this period of level demand can be derived.

Keywords: inventory; production; deterministic demand; product life cycle


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