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Automation and Remote Control

, Volume 72, Issue 1, pp 99–110 | Cite as

Geo m /G/1/n system with LIFO discipline without interrupts and constrained total amount of customers

  • A. Cascone
  • R. Manzo
  • A. V. Pechinkin
  • S. Ya. Shorgin
Queueing Systems

Abstract

Consideration was given to the discrete-time queuing system with inversive servicing without interrupts, second-order geometrical arrivals, arbitrary (discrete) distribution of the customer length, and finite buffer. Each arriving customer has length and random volume. The total volume of the customers sojourning in the system is bounded by some value. Formulas of the stationary state probabilities and stationary distribution of the time of customer sojourn in the system were established.

Keywords

Remote Control Stationary Distribution Busy Period Stationary Probability Density Inversive Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  • A. Cascone
    • 1
  • R. Manzo
    • 1
  • A. V. Pechinkin
    • 2
  • S. Ya. Shorgin
    • 2
  1. 1.University of SalernoSalernoItaly
  2. 2.Institute of Informatics ProblemsRussian Academy of SciencesMoscowRussia

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