Optimal Inventory Policies when the Demand Distribution is not Known

This paper analyzes the stochastic inventory control problem when the demand distribution is not known. In contrast to previous Bayesian inventory models, this paper adopts a non-parametric Bayesian approach in which the firm’s prior information is characterized by a Dirichlet process prior. This pr...

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Bibliographic Details
Main Author: Larson, Erik
Other Authors: Olson, Lars, Sharma, Sunil
Format: eBook
Language:English
Published: Washington, D.C. International Monetary Fund 2000
Series:IMF Working Papers
Subjects:
Online Access:
Collection: International Monetary Fund - Collection details see MPG.ReNa
Description
Summary:This paper analyzes the stochastic inventory control problem when the demand distribution is not known. In contrast to previous Bayesian inventory models, this paper adopts a non-parametric Bayesian approach in which the firm’s prior information is characterized by a Dirichlet process prior. This provides considerable freedom in the specification of prior information about demand and it permits the accommodation of fixed order costs. As information on the demand distribution accumulates, optimal history-dependent (s,S) rules are shown to converge to an (s,S) rule that is optimal when the underlying demand distribution is known
Physical Description:24 pages
ISBN:9781451859300