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Analysis of Perishable Queueing-Inventory System with Positive Service Time and (\(S - 1, S\)) Replenishment Policy

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications (ITMM 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 800))

Abstract

In this paper, model of inventory system with positive service time and perishable inventory is studied. It is assumed that some demands do not acquire the item after service completion and order replenishment lead time is a positive random variable. \((S-1, S)\) order replenishment policy is applied. The exact and approximate methods are developed for calculation of joint distributions of the inventory level and number of customers in the system. The formulas for the system performance measures calculation are given as well. The high accuracy of formulas are confirmed by numerical experiments. The problem of choosing the optimal server rate to minimize the total cost is solved.

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Authors and Affiliations

  1. Deparment of Computer Sciences, National Aviation Academy of Azerbaijan, Mardakan pr. 30, Baku, Azerbaijan

    Agassi Melikov & Mammad Shahmaliyev

Authors
  1. Agassi Melikov
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  2. Mammad Shahmaliyev
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Corresponding author

Correspondence to Mammad Shahmaliyev .

Editor information

Editors and Affiliations

  1. Belarusian State University, Minsk, Belarus

    Alexander Dudin

  2. Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Kazan National Research Technological University, Kazan, Russia

    Alexander Kirpichnikov

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Melikov, A., Shahmaliyev, M. (2017). Analysis of Perishable Queueing-Inventory System with Positive Service Time and (\(S - 1, S\)) Replenishment Policy. In: Dudin, A., Nazarov, A., Kirpichnikov, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM 2017. Communications in Computer and Information Science, vol 800. Springer, Cham. https://doi.org/10.1007/978-3-319-68069-9_7

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  • DOI: https://doi.org/10.1007/978-3-319-68069-9_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68068-2

  • Online ISBN: 978-3-319-68069-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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