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Markov Models of Queueing–Inventory Systems with Variable Order Size

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Abstract

Markov models of queueing–inventory systems with variable order size are investigated. Two classes of models are considered: with instant service and with nonzero service time. The model with nonzero service time assumes that impatient customers can form a queue of either finite or infinite length. The exact and approximate methods are developed to calculate the characteristics of the systems under proposed restocking policy.

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Authors and Affiliations

  1. Institute of Control Systems, National Academy of Sciences of Azerbaijan, Baku, Azerbaijan

    A. Z. Melikov

  2. International Scientific and Training Center of Information Technologies and Systems, National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv, Ukraine

    L. A. Ponomarenko

  3. Baku State University, Baku, Azerbaijan

    S. A. Bagirova

Authors
  1. A. Z. Melikov
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  2. L. A. Ponomarenko
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  3. S. A. Bagirova
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Corresponding author

Correspondence to A. Z. Melikov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2017, pp. 49–66.

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Melikov, A.Z., Ponomarenko, L.A. & Bagirova, S.A. Markov Models of Queueing–Inventory Systems with Variable Order Size. Cybern Syst Anal 53, 373–386 (2017). https://doi.org/10.1007/s10559-017-9937-3

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  • DOI: https://doi.org/10.1007/s10559-017-9937-3

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