On the Rate of Convergence of the Asymptotic Expansion for the Ergodic Distribution of a Semi-Markov (s,s) Inventory Model

Abstract

A stochastic process is considered that describes the so-called (s, S) inventory model. The asymptotic behavior of the ergodic distribution of the process is investigated. It is established that the ergodic distribution of the process on the interval [s, S] tends to the uniform distribution for sufficiently large values of the parameter ?=S-s and the convergence rate is estimated. © 2012 Springer Science+Business Media, Inc.