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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 (<jats:italic>S<\/jats:italic>,\u00a0<jats:italic>c<\/jats:italic>,\u00a0<jats:italic>s<\/jats:italic>) policy, which is extended to the case of uncertain and time-dependent parameters.\n<\/jats:p>","DOI":"10.1007\/s13235-022-00441-3","type":"journal-article","created":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T15:06:53Z","timestamp":1648739213000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Coordinated Replenishment Game and Learning Under Time Dependency and Uncertainty of the Parameters"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7395-0248","authenticated-orcid":false,"given":"Stefanny","family":"Ramirez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laurence H.","family":"van Brandenburg","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dario","family":"Bauso","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,3,31]]},"reference":[{"issue":"4","key":"441_CR1","doi-asserted-by":"publisher","first-page":"529","DOI":"10.1016\/j.trb.2011.11.006","volume":"46","author":"SA Alumur","year":"2012","unstructured":"Alumur SA, Nickel S, Saldanha-da Gama F (2012) Hub location under uncertainty. 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