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Matrix-Geometric Solutions for the Models of Perishable Inventory Systems with a Constant Retrial Rate

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Distributed Computer and Communication Networks (DCCN 2021)

Abstract

The model of perishable inventory system with orbit is examined under (sS) and (sQ) policies. The stability condition of the system is derived and the joint distribution of the number of customers in orbit and the inventory level is obtained by using matrix-geometric method. Formulas for calculation of the performance measures are developed. The behavior of performance measures under given policies are analyzed and comparative numerical results are presented.

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Melikov, A., Shahmaliyev, M., Sztrik, J. (2022). Matrix-Geometric Solutions for the Models of Perishable Inventory Systems with a Constant Retrial Rate. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds) Distributed Computer and Communication Networks. DCCN 2021. Communications in Computer and Information Science, vol 1552. Springer, Cham. https://doi.org/10.1007/978-3-030-97110-6_12

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  • DOI: https://doi.org/10.1007/978-3-030-97110-6_12

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  • Online ISBN: 978-3-030-97110-6

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