The Censored Newsvendor and the Optimal Acquisition of Information

  • Authors:
  • Xiaomei Ding;Martin L. Puterman;Arnab Bisi

  • Affiliations:
  • -;-;-

  • Venue:
  • Operations Research
  • Year:
  • 2002

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Abstract

This paper investigates the effect of demand censoring on the optimal policy in newsvendor inventory models with general parametric demand distributions and unknown parameter values. We show that the newsvendor problem withobservable lost sales reduces to a sequence of single-period problems, while the newsvendor problem withunobservable lost sales requires a dynamic analysis. Using a Bayesian Markov decision process approach we show that the optimalin ventory level in the presence of censored demand ishigher than would be determined using a Bayesian myopic policy. We explore the economic rationality for this observation and illustrate it with numerical examples.