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On the multiserver retrial queues with negative arrivals

Author

Listed:
  • Zidani Nesrine
  • Djellab Natalia

Abstract

The paper deals with an M/M/C/K retrial queue with exponential abandonment at which positive and negative customers arrive according to Poisson processes. This model is of practical interest: it can be used for analysing the performance in call centres and e-mail contact systems. For the model under investigation, we find the ergodicity conditions and also the approximate solution by using finite truncation and value extrapolation methods. We present some numerical results to examine the performance of the value extrapolation method as well as the system performance.

Suggested Citation

  • Zidani Nesrine & Djellab Natalia, 2018. "On the multiserver retrial queues with negative arrivals," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 13(2), pages 219-242.
    • Handle: RePEc:ids:ijmore:v:13:y:2018:i:2:p:219-242
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    Cited by:

    1. Wei Xu & Liwei Liu & Linhong Li & Zhen Wang & Sabine Wittevrongel, 2023. "Analysis of a Collision-Affected M/GI/1/ /N Retrial Queuing System Considering Negative Customers and Transmission Errors," Mathematics, MDPI, vol. 11(16), pages 1-23, August.

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