Mehmet Murat FadilogluOnder BulutFadıloğlu, Mehmet MuratBulut, Önder2025-10-0620190167-63771872-746810.1016/j.orl.2018.12.0072-s2.0-85060349776http://dx.doi.org/10.1016/j.orl.2018.12.007https://gcris.yasar.edu.tr/handle/123456789/6579https://doi.org/10.1016/j.orl.2018.12.007We provide an extension to the embedded Markov chain approach of Fadiloglu and Bulut (2010) for the analysis of lot-per-lot inventory systems with backorders under rationing. This extension generalizes the method so that it can be used for the analysis under (Q R) policy. We introduce a new embedded Markov chain of higher dimensionality that keeps track of the ordering process. We finally provide a recursive procedure to generate the steady-state probabilities from the chain and obtain the steady-state distribution. (C) 2018 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/closedAccessInventory models, Rationing, Batch orders, Embedded Markov chainsINVENTORY, SYSTEM, POLICYEmbedded Markov ChainsBatch OrdersRationingInventory ModelsArticle