Abstract
A model of inventory control is considered. It is described by a semi-Markov random walk with a negative drift at an angle of 0 < α < 90°, with positive random jumps, a delay, an absorbing screen at zero, and a reflecting screen for a > 0 at an angle α. The Laplace transformation is found for the distribution of the first moment storehouse exhaustion, and the first and the second moments are explicitly obtained.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 50–59, July–August, 1999.
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Nasirova, T.I., Yapar, J. & Aliev, I.M. A model of inventory control. Cybern Syst Anal 35, 553–562 (1999). https://doi.org/10.1007/BF02835852
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DOI: https://doi.org/10.1007/BF02835852