Coordinated Replenishment Game and Learning Under Time Dependency and Uncertainty of the Parameters

Stefanny Ramirez*, Laurence H. van Brandenburg, Dario Bauso

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
31 Downloads (Pure)


This research proposes a periodic review multi-item two-layer inventory model. The main contribution is a novel approach to determine the can-order threshold in a two-layer model under time-dependent and uncertain demand and setup costs. The first layer consists of a learning mechanism to forecast demand and forecast setup costs. The second layer involves the coordinated replenishment of items, which is analysed as a Bayesian game with uncertain prior probability distribution. The research builds on the concept of the (S, c, s) policy, which is extended to the case of uncertain and time-dependent parameters.

Original languageEnglish
Pages (from-to)326-352
Number of pages27
JournalDynamic Games and Applications
Early online date31-Mar-2022
Publication statusPublished - Mar-2023


  • Bayesian game
  • Can-order policy
  • Coordination game
  • Distributionally robust optimization
  • Inventory control

Cite this