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(s,S)-type policy for a production inventory problem with limited backlogging and with stockouts

Ryszarda Rempała (1997)

Applicationes Mathematicae

A production inventory problem with limited backlogging and with stockouts is described in a discrete time, stochastic optimal control framework with finite horizon. It is proved by dynamic programming methods that an optimal policy is of (s,S)-type. This means that in every period the policy is completely determined by two fixed levels of the stochastic inventory process considered.

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