Uniform ergodicity Strong Stability Perturbation backorder process (R; S) inventory/production model
Issue Date:
2007
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Pliska Studia Mathematica Bulgarica, Vol. 18, No 1, (2007), 255p-270p
Abstract:
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.