A Bayesian approach to a dynamic inventory model under an unknown demand distribution

Citation
Kr. Kamath et Tpm. Pakkala, A Bayesian approach to a dynamic inventory model under an unknown demand distribution, COMPUT OPER, 29(4), 2002, pp. 403-422
Citations number
18
Categorie Soggetti
Engineering Management /General
Journal title
COMPUTERS & OPERATIONS RESEARCH
ISSN journal
03050548 → ACNP
Volume
29
Issue
4
Year of publication
2002
Pages
403 - 422
Database
ISI
SICI code
0305-0548(200204)29:4<403:ABATAD>2.0.ZU;2-3
Abstract
in this paper, the Bayesian approach to demand estimation is outlined for t he cases of stationary as well as non-stationary demand. The optimal policy is derived for an inventory model that allows stock disposal, and is shown to be the solution of a dynamic programming backward recursion. Then, a me thod is given to search for the optimal order level around the myopic order level. Finally, a numerical study is performed to make a profit comparison between the Bayesian and non-Bayesian approaches, when the demand follows a stationary lognormal distribution. A profit comparison is also made betwe en the stationary and nonstationary Bayesian approaches to observe whether the Bayesian approach incorporates non-stationarity in the demand. And, it is observed whether stock disposal reduces the losses due to ignoring non-s tationarity in the demand.