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Markov Models of Systems with Demands of Two Types and Different Restocking Policies

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Abstract

Markov models of queuing-inventory systems with demands of two types are proposed. In these systems, two restocking policies are used: policies with fixed and variable demand size. High-priority demands have no access constraints while low-priority demands are accepted if the total number of demands in the system is less than a given threshold. Methods are developed to calculate performance measures of the systems under study and problems of their optimization are solved. Results of the numerical experiments are shown.

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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

    I. A. Aliyev

Authors
  1. A. Z. Melikov
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  2. L. A. Ponomarenko
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  3. I. A. Aliyev
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Corresponding author

Correspondence to A. Z. Melikov.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2018, pp. 56–74.

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Melikov, A.Z., Ponomarenko, L.A. & Aliyev, I.A. Markov Models of Systems with Demands of Two Types and Different Restocking Policies. Cybern Syst Anal 54, 900–917 (2018). https://doi.org/10.1007/s10559-018-0093-1

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  • DOI: https://doi.org/10.1007/s10559-018-0093-1

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