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Two-Way Communication M/M/1/1 Queue with Server-Orbit Interaction and Feedback of Outgoing Retrial Calls

  • Velika DragievaEmail author
  • Tuan Phung-Duc
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 800)

Abstract

The paper deals with two-way communication M/M/1/1 retrial queue where the server during its idle time makes outgoing calls of two types - to the customers in orbit and to the customers outside it. Durations of these calls follow two distinct exponential distributions. After completion of the outgoing call to a customer from orbit, this customer with probability p rejoins the orbit, and with its complementary probability leaves the service area. Using generating functions approach we derive explicit and recursive formulas for the stationary system state distribution and its factorial moments.

Keywords

Two-way communication Retrials Server-orbit interaction Feedback 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.University of ForestrySofiaBulgaria
  2. 2.University of TsukubaTsukubaJapan

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