5 problems

The Gaussian inventory-control model has belief states represented by the mean and variance $(\overline{x},\sigma^2)$ of the posterior distribution. Since the variance sequence is…

K-convexity conjecture. This continuity should be explained by continuity properties of $K$-convex functions.

Multi-step optimal-policy conjecture. Similar results should hold for an $N$-step setup cost: some $(s,S)$ policies are optimal in some cases, whereas in other cases they can be do…

A dual-sourcing inventory system has a regular source and an express source, with a lead time for each source. A Tailored Base-Surge (TBS) policy places a constant order at the reg…

Consider the lost-sales inventory model with lead time $L$, lost-sales penalty $p$, holding cost $h$, constant-order policy $\pi_0$, its associated order quantity $Q$, and the expo…