Optimal division of inventory between depot and bases

Hadar Amrani, Eugene Khmelnitsky*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We consider a problem of optimal division of stock between a logistic depot and several geographically dispersed bases, in a two-echelon supply chain. The objective is to minimize the total cost of inventory shipment, taking into account direct shipments between the depot and the bases, and lateral transshipments between bases. We prove the convexity of the objective function and suggest a procedure for identifying the optimal solution. Small-dimensional cases, as well as a limit case in which the number of bases tends to infinity, are solved analytically for arbitrary distributions of demand. For a general case, an approximation is suggested. We show that, in many practical cases, partial pooling is the best strategy, and large proportions of the inventory should be kept at the bases rather than at the depot. The analytical and numerical examples show that complete pooling is obtained only as a limit case in which the transshipment cost tends to infinity.

Original languageEnglish
Pages (from-to)3-18
Number of pages16
JournalNaval Research Logistics
Issue number1
StatePublished - 1 Feb 2017


  • inventory control
  • optimization
  • supply chain management
  • transshipments


Dive into the research topics of 'Optimal division of inventory between depot and bases'. Together they form a unique fingerprint.

Cite this