Séminaire Mathématique de Béjaia
Volume 16, Numéro 1, Pages 77-77
2018-12-31

Analysis Of An (s,q) Inventory Model With Continuous Review And Partially Backordered Demands Throw Petri Nets



Authors : Bazizi Lydia . Rahmoune-aoudia Fazia . Lekadir Ouiza .

Abstract

In this work, we analyze an inventory system with (s, Q) control policy with continuous review and batch demands arriving according to a Poisson process and serving instantaneously. If the system is out of stock, arriving primary demands joins a virtual limited orbit and repeat its request after a random time with a constant policy. The model is representing by a new tool called BDSPNs (Batch Deterministic and stochastic Petri nets). The most important performance measures for the continuous Markov chain represented by thestock level and the number of demands in the orbit are derived at the steady state.

Keywords

(s, Q) control policy; BDSPNs; Inventory systems; Markov chains; Performance measures.

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