Cybernetics and Systems Analysis

, Volume 53, Issue 3, pp 373–386 | Cite as

Markov Models of Queueing–Inventory Systems with Variable Order Size

  • A. Z. MelikovEmail author
  • L. A. Ponomarenko
  • S. A. Bagirova


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.


queuieng–inventory systems restocking policy variable order size 


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Copyright information

© Springer Science+Business Media New York 2017

Authors and Affiliations

  • A. Z. Melikov
    • 1
    Email author
  • L. A. Ponomarenko
    • 2
  • S. A. Bagirova
    • 3
  1. 1.Institute of Control SystemsNational Academy of Sciences of AzerbaijanBakuAzerbaijan
  2. 2.International Scientific and Training Center of Information Technologies and SystemsNational Academy of Sciences of Ukraine and Ministry of Education and Science of UkraineKyivUkraine
  3. 3.Baku State UniversityBakuAzerbaijan

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