Stability Analysis in an Inventory Model (bibtex)

by B. Rabta and D. Aïssani

Abstract:

We deal with the stability analysis in inventory models. In particular, we prove the applicability of the strong stability method to inventory models. We show the strong $v$-stability of the embedded Markov chain in an $(R,s,S)$ periodic review inventory model with respect to the disturbance of the demand distribution. The case of the $(R,S)$ model is also highlighted.

Reference:

Stability Analysis in an Inventory Model (B. Rabta and D. Aïssani), In Theory of Stochastic Processes, TBiMC Scientific Publishers, Kiev, volume 10, 2004.

Bibtex Entry:

@ARTICLE{tsp,
  author = {B. Rabta and D. A{\"i}ssani},
  title = {Stability Analysis in an Inventory Model},
  journal = {Theory of Stochastic Processes},
  publisher    = {TBiMC Scientific Publishers, Kiev},
  year = {2004},
  volume = {10},
  pages = {129-136},
  number = {26},
  zbl = {1068.90010},
  gsid = {12928544943484571316},
  mr = {2329786},
  abstract = {We deal with the stability analysis in inventory models. In particular, we prove the applicability of the strong stability method to inventory models. We show the strong $v$-stability of the embedded Markov chain in an $(R,s,S)$ periodic review inventory model with respect to the disturbance of the demand distribution. The case of the $(R,S)$ model is also highlighted.}
}