Exploring the structural properties of the (D, 0) inventory model

Jack C. Hayya, Terry P. Harrison, Dean C. Chatfield

Research output: Contribution to journalArticle

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Abstract

We consider the (D, 0) inventory model, where the demand per unit time, D, is stationary and independently and identically distributed (iid) and the lead time, L, is deterministic. In the case of the re-order point, order quantity (s, Q) system, where the cost function is convex in s and Q, this yields two equations that are solved iteratively to yield the optimal policy. The question that we address here concerns the effect of the variability in lead time demand on the total cost and the policy parameters. Simply stated: given other parameters, such as ordering, holding, and shortage costs, can we write the optimal total cost and the policy parameters as linear or quadratic functions of the standard deviation of demand during lead time?

Original languageEnglish (US)
Pages (from-to)2767-2783
Number of pages17
JournalInternational Journal of Production Research
Volume47
Issue number10
DOIs
Publication statusPublished - Jan 1 2009

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All Science Journal Classification (ASJC) codes

  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

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