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Automation and Remote Control

, Volume 80, Issue 1, pp 53–65 | Cite as

Queueing System M/M/1/∞ with Perishable Inventory and Repeated Customers

  • A. Z. MelikovEmail author
  • M. O. Shahmaliyev
Stochastic Systems
  • 5 Downloads

Abstract

We propose a model of a queueing system with a single server, perishable inventory and repeated customers that can form an orbit of infinite size. In the absence of inventory in the system, primary customers according to the Bernoulli scheme either enter the queue or go into the orbit. The system uses the (s, S)-policy of replenishing the inventory. We develop a method for calculating system characteristics and solve the problem of minimizing total costs by choosing the critical level of inventory.

Keywords

queueing-inventory systems perishable inventory repeated customers computation algorithm optimization 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Control SystemsAzerbaijan National Academy of SciencesBakuAzerbaijan
  2. 2.National Aviation AcademyBakuAzerbaijan

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