Rolling‐horizon replenishment : policies and performance analysis

Zhoutong LIAN, Liming LIU, Stuart X. ZHU

Research output: Journal PublicationsJournal Article (refereed)Researchpeer-review

10 Citations (Scopus)

Abstract

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)
Volume57
Issue number6
DOIs
Publication statusPublished - 1 Sep 2010
Externally publishedYes

Fingerprint

Performance Analysis
Updating
Numerical Procedure
Update
Flexibility
Policy
Replenishment policy
Policy analysis
Performance analysis
Modeling
Demonstrate
Base stock
Replenishment
Demand
Buyers
Order quantity

Keywords

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

Cite this

LIAN, Zhoutong ; LIU, Liming ; ZHU, Stuart X. / Rolling‐horizon replenishment : policies and performance analysis. In: Naval Research Logistics (NRL). 2010 ; Vol. 57, No. 6. pp. 489-502.
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Rolling‐horizon replenishment : policies and performance analysis. / LIAN, Zhoutong; LIU, Liming; ZHU, Stuart X.

In: Naval Research Logistics (NRL), Vol. 57, No. 6, 01.09.2010, p. 489-502.

Research output: Journal PublicationsJournal Article (refereed)Researchpeer-review

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AU - ZHU, Stuart X.

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N2 - 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.

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