Rolling‐horizon replenishment : policies and performance analysis

Zhoutong LIAN, Liming LIU, Stuart X. ZHU

Research output: Journal PublicationsJournal Article (refereed)

10 Citations (Scopus)


We consider a rolling‐horizon (RH) replenishment modeling framework under which a buyer can update demand information and inventory status, modify order quantities committed previously, place an advanced order for a new period at the end of the RH, and move along in time seamlessly. We show that the optimal order policy for the two‐period RH problem is a dual‐threshold type for updating period(s) plus a base‐stock type for the advanced order. We provide analytical formulas and algorithms to compute the optimal thresholds and the optimal base‐stock level exactly. With our analytical results and numerical procedures, we demonstrate the significant value of RH replenishment in matching supplies to demands more closely. We also show that with RH updating (flexibility), the value of additional demand information beyond the RH diminishes quickly.
Original languageEnglish
Pages (from-to)489-502
Number of pages14
JournalNaval Research Logistics (NRL)
Issue number6
Publication statusPublished - 1 Sep 2010
Externally publishedYes



  • Rolling horizon
  • optimization
  • policy structure
  • quantity supply contract

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