Econometrica: Apr 1962, Volume 30, Issue 2

Note on Program Uncertainty in the Dynamic Programming Problem

https://doi.org/0012-9682(196204)30:2<336:NOPUIT>2.0.CO;2-B
p. 336-342

Richard C. Kao

In this note we study the dynamic inventory problem for a follow-on provisioning in which the program length is subject to uncertainty with a known distribution. It is shown that under rather general cost conditions, the optimal policy is of the (S, s) type. This is true whether or not there exists a time lag in delivery provided that excess demand is always backlogged. The case of an infinite program horizon is also briefly discussed.

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