Salas-Navarro, KatherineAcevedo Chedid, JaimeFlorez, Whandy F.Ospina-Mateus, HolmanCárdenas-Barrón, LeopoldoSankar Sana, Shib2020-10-292020-10-292020-06-012020-10-28Katherinne Salas Navarro, Jaime Acevedo Chedid, Whady F. Florez, Holman Ospina Mateus, Leopoldo Eduardo Cárdenas-Barrón, Shib Sankar Sana. A collaborative EPQ inventory model for a three-echelon supply chain with multiple products considering the effect of marketing effort on demand. Journal of Industrial & Management Optimization, 2020, 16 (4) : 1613-1633. doi: 10.3934/jimo.20190201547-5816https://hdl.handle.net/20.500.12585/9501This paper presents an inventory model for a three-echelon supply chain with multiple products and multiple members considering the demand as an increasing function of the marketing effort. In the proposed inventory model, a collaborative approach is studied and an analytical method is applied to obtain the optimal production lot size and the optimal marketing effort in order to achieve the maximum profits. Some numerical examples are illustrated to justify the model. Moreover, a sensitivity analysis is well done in order to analysis the effect of the changes of key parameters of inventory model on the the maximum benefits of all members of the chain21 hojasapplication/pdfenghttps://www.aimsciences.org/article/doi/10.3934/jimo.2019020info:eu-repo/semantics/article10.3934/jimo.2019020InventorySupply chain collaborationMultiple productsMarketing effortEconomic production quantityinfo:eu-repo/semantics/closedAccessUniversidad Tecnológica de BolívarRepositorio Universidad Tecnológica de Bolívar