Note: Optimal Policies for Serial Inventory Systems Under Fill Rate Constraints

  • Authors:
  • Sven Axsäter

  • Affiliations:
  • -

  • Venue:
  • Management Science
  • Year:
  • 2003

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Abstract

A continuous review serial production/distribution system with discrete compound Poisson demand for the end product is considered. Unmet demand is back-ordered. Production/transportation times are constant. All deliveries from one stage to the next must be multiples of given batch sizes. We consider the problem of minimizing the holding costs under a fill rate constraint. Using recent results by Chen (2000), we show that under a set of restricted but plausible assumptions, the optimal policy is an echelon stock multistage(R, nQ) policy with one of the reorder points varying over time. We provide a simple procedure for the determination of the optimal policy.