(S, s) Inventory Policies in General Equilibrium

Computing globally optimal (s,S,T) inventory policies

We consider a single-echelon inventory installation under the (s,S,T) periodic review ordering policy. Demand is stationary random and, when unsatisfied, is backordered. Under a standard cost structure, we seek to minimize total average cost in all three policy variables; namely, the reorder level s, the order-up-to level S and the review interval T. Considering time to be continuous, we first ...

Optimality of (s, S) Policies in Inventory Models with Markovian Demand

This paper is concerned with a generalization of classical inventory models (with xed ordering costs) that exhibit (s; S) policies. In our model, the distribution of demands in successive periods is dependent on a Markov chain. The model includes the case of cyclic or seasonal demand. The model is further extended to incorporate some other realistic features such as no ordering periods and stor...

Inventory Accelerator in General Equilibrium

We develop a general-equilibrium model of inventories with explicit micro-foundations by embedding the production-cost-smoothing motive (e.g., Eichenbaum, AER 1989) into an otherwise standard DSGE model. We show that …rms facing idiosyncratic cost shocks have incentives to bunch production and smooth sales by carrying inventories. The optimal inventory target of a …rm is derived explicitly. The...

(s, S) Policies for a Dynamic Inventory Model with Stochastic Lead Times

This study analyzes a stochastic lead time inventory model under the assumptions that (a) replenishment orders do not cross in time and (b) the lead time distribution for a given order is independent of the number and sizes of outstanding orders. The study extends the existing literature on the finitehorizon version of the model and yields an intuitively appealing dynamic program that is nearly...

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