We study fixed-dimensional stochastic dynamic programs in a discrete setting over a finite horizon. Under the primary assumption that the cost-to-go functions are discrete L♮-convex, we propose a pseudo-polynomial time approximation scheme that solves this problem to within an arbitrary...

We study several dynamic, stochastic inventory control models with integer demands: the newsvendor model, its multi-period extension and a single-product, multi-echelon assembly model. Equivalent linear programs are formulated for the corresponding stochastic dynamic programs, and integrality...

We study a supply planning problem in a manufacturing system with two stages. The first stage is a remanufacturer that supplies two closely-related components to the second (manufacturing) stage, which uses each component as the basis for its respective product. The used products are recovered...

Newsvendor decision making is ubiquitous in the global economy. Very often, newsvendor decision makers are overworked; thus, making ordering decisions is one of myriad things on their plate. They do not have the energy to focus solely on the newsvendor decisions and yet have to make them under...

Anchoring and Insufficient Adjustment (AIA) bias has been observed in many newsvendor experiments, although a mathematical explanation for this behavior has previously eluded researchers. We show that risk aversion coupled with an implicit shortage cost, both of which are well-known components...