Stability of the Inventory-Backorder Process in the (R; S) Inventory/Production Model

2000 Mathematics Subject Classification: 60G52, 90B30.

The aim of this paper is to obtain the sufficient conditions for the uniform ergodicity and the strong stability of the inventory-backorder process in a single-item, single location, (R; S) inventory/production model with limited capacity of production per period and uncertain demands. In this order some intermediate results are established and an overview about the main stability methods for stochastic processes and the performance measure in the inventory models are also considered.