by B. Rabta and D. Aïssani
Abstract:
In this paper, we prove the applicability of the strong stability method to inventory models. Real life inventory problems are often very complicated and they are resolved only through approximations. Therefore, it is very important to justify these approximations and to estimate the resultant error. We study the strong stability in a periodic review inventory model with an ( R , s , S ) policy. After showing the strong v -stability of the underlying Markov chain with respect to the perturbation of the demand distribution, we obtain quantitative stability estimates with an exact computation of constants.
Reference:
 Strong stability in an $({R},s,{S})$ inventory model (B. Rabta and D. Aïssani), In International Journal of Production Economics, Elsevier B.V., volume 97, 2005.
Bibtex Entry:
@ARTICLE{Rabta2005159,
  author = {B. Rabta and D. A{\"i}ssani},
  title = {Strong stability in an $({R},s,{S})$ inventory model},
  journal = {International Journal of Production Economics},
  publisher = {Elsevier B.V.},
  year = {2005},
  volume = {97},
  pages = {159 - 171},
  number = {2},
  abstract = {In this paper, we prove the applicability of the strong stability
	method to inventory models. Real life inventory problems are often
	very complicated and they are resolved only through approximations.
	Therefore, it is very important to justify these approximations and
	to estimate the resultant error. We study the strong stability in
	a periodic review inventory model with an ( R , s , S ) policy. After
	showing the strong v -stability of the underlying Markov chain with
	respect to the perturbation of the demand distribution, we obtain
	quantitative stability estimates with an exact computation of constants.},
  doi = {10.1016/j.ijpe.2004.06.050},
  issn = {0925-5273},
  keywords = {Inventory control},
  gsid ={1175246129353501570},
  url = {http://www.sciencedirect.com/science/article/pii/S0925527304002762}
}