Cooperation on capacitated inventory situations with fixed holding costs

ON THE (s,s) POLICY WITH FIXED INVENTORY HOLDING AND SHORTAGE COSTS

In this paper, we consider a dynamic stochastic inventory model with fixed inventory holding and shortage costs in addition to a fixed ordering cost. WE discuss a sufficient and necessary condition for an (s,S) policy to be optimal in the class of such stochastic inventory models. Furthermore, we explore how such a sufficient and necessary condition can be rewritten when the demand distribution...

Capacitated inventory problems with fixed order costs: Some optimal policy structure

Using a generalization of Scarf's K-convexity, we are able to show that the optimal policy for the periodic review inventory problem with xed ordering costs and nite capacity has an (s; S)-like structure. In particular, we are able to divide the parameter space into four regions. In two of these regions the optimal policy is completely speci ed. In the other two, it is partially speci ed.

Approximation Algorithms for Capacitated Stochastic Inventory Systems with Setup Costs

We develop the first approximation algorithm with worst-case performance guarantee for capacitated stochastic periodic-review inventory systems with setup costs. The structure of the optimal control policy for such systems is extremely complicated, and indeed, only some partial characterization is available. Thus, finding provably near-optimal control policies has been an open challenge. In thi...

A production–recycling–inventory system with imprecise holding costs

This paper presents an optimal control recycling production inventory system in fuzzy environment. The used items are bought back and then either put on recycling or disposal. Recycled products can be used for the new products which are sold again. Here, the rate of production, recycling and disposal are assumed to be function of time and considered as control variables. The demand inversely de...

Information Flows in Capacitated Supply Chains with Fixed Ordering Costs