Most manufacturing systems are large and complex and operate in an uncertain environment. One approach to managing such systems is that of hierarchical decomposition. This paper reviews the research devoted to proving that a hierarchy based on the frequencies of occurrence of different types of...

We consider single-item (r, q) and (s, T) inventory systems with integer-valued demand processes. While most of the inventory literature studies continuous approximations of these models and establishes joint convexity properties of the policy parameters in the continuous space, we show that...

We study the coordination of supply chains with a risk-neutral supplier and a risk-averse retailer. Different from the downside risk setting, in a conditional value-at-risk (CVaR) framework, we show that the supply chain can be coordinated with the revenue-sharing, buy-back, two-part tariff and...

This paper focuses on the performance analysis on a complex remanufacturing system that consists of a disassembling shop, a remanufacturing shop, an assembling shop, and a warehouse. The optimal remanufacturing policy is given. Furthermore, by the matrix-geometric method, the immediate demand...

We consider a two-stage serial inventory system whose cost structure exhibits economies of scale in both stages. In the system, stage 1 faces Poisson demand and replenishes its inventory from stage 2, and the latter stage in turn orders from an outside supplier with unlimited stock. Each...

A weighted embedding for the generalized pontogram {Kn(t): 0[less-than-or-equals, slant]t[less-than-or-equals, slant]1} corresponding pointwise to a renewal process {N(s): 0[less-than-or-equals, slant]s[infinity]} via Kn(t)=n-1/2(N(nt)-tN(n)) is studied in this paper. After proper normalization,...