Otten, SonjaSonjaOtten2022-11-022022-11-022023-12Annals of Operations Research 331 (2): 807-837 (2023-12)http://hdl.handle.net/11420/13888We study a supply chain consisting of production-inventory systems at several locations which are coupled by a common supplier. Demand of customers arrives at each production system according to a Poisson process and is lost if the local inventory is depleted (“lost sales”). To satisfy a customer’s demand a server at the production system needs raw material from the associated local inventory. The supplier manufactures raw material to replenish the local inventories, which are controlled by a continuous review base stock policy. The routing of items depends on the on-hand inventory at the locations with the aim to obtain “load balancing”. We show that the stationary distribution has a product form of the marginal distributions of the production subsystem and the inventory-replenishment subsystem. For the marginal distribution of the production subsystem we derive an explicit solution and for the marginal distribution of the inventory-replenishment subsystem we deduce an explicit solution or a recursive algorithm for some special cases.en1572-933820232807837Springer Science + Business Media B.Vhttps://creativecommons.org/licenses/by/4.0/Base stock policyInventory controlProduct-form steady stateQueueing networksTechnikIngenieurwissenschaftenJournal Article10.15480/882.483610.1007/s10479-022-05017-310.15480/882.4836Journal Article