Base Stock Inventory Systems with Compound Poisson Demand: Case of Partial Lost Sales

Abstract : In this paper we extend earlier work that analyzes a single echelon single item base-stock inventory system where Demand is modeled as a compound Poisson process and the lead-time is stochastic. The extension consists in considering a cost oriented system where unfilled demands are lost. The case of partial lost sales is assumed. We first model the inventory system as a Makovian M/G/( queue then we propose a method to calculate numerically the optimal base-stock level. A preliminary numerical investigation is also conducted to show the performance of our solution.
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Christos Emmanouilidis; Marco Taisch; Dimitris Kiritsis. 19th Advances in Production Management Systems (APMS), Sep 2012, Rhodes, Greece. Springer, IFIP Advances in Information and Communication Technology, AICT-398 (Part II), pp.693-698, 2013, Advances in Production Management Systems. Competitive Manufacturing for Innovative Products and Services. 〈10.1007/978-3-642-40361-3_88〉
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M. Babai, Ziad Jemai, Yves Dallery. Base Stock Inventory Systems with Compound Poisson Demand: Case of Partial Lost Sales. Christos Emmanouilidis; Marco Taisch; Dimitris Kiritsis. 19th Advances in Production Management Systems (APMS), Sep 2012, Rhodes, Greece. Springer, IFIP Advances in Information and Communication Technology, AICT-398 (Part II), pp.693-698, 2013, Advances in Production Management Systems. Competitive Manufacturing for Innovative Products and Services. 〈10.1007/978-3-642-40361-3_88〉. 〈hal-01470686〉

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