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https://doi.org/10.15480/882.4836
Publisher DOI: | 10.1007/s10479-022-05017-3 | Title: | Load balancing in a network of queueing-inventory systems | Language: | English | Authors: | Otten, Sonja | Keywords: | Base stock policy; Inventory control; Product-form steady state; Queueing networks | Issue Date: | 19-Oct-2022 | Publisher: | Springer Science + Business Media B.V | Source: | Annals of Operations Research (in Press): (2022) | Abstract (english): | We 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. |
URI: | http://hdl.handle.net/11420/13888 | DOI: | 10.15480/882.4836 | ISSN: | 1572-9338 | Journal: | Annals of operations research | Institute: | Mathematik E-10 | Document Type: | Article | Project: | Projekt DEAL | License: | ![]() |
Appears in Collections: | Publications with fulltext |
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