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Abmap/Ph/Nsystem With Impatient Repeated Calls

Author

Listed:
  • VALENTINA I. KLIMENOK

    (Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Independence Avenue, Minsk, 220030, Belarus)

  • DMITRY S. ORLOVSKY

    (Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Independence Avenue, Minsk, 220030, Belarus)

  • ALEXANDER N. DUDIN

    (Department of Applied Mathematics and Computer Science, Belarusian State University, 4, Independence Avenue, Minsk, 220030, Belarus)

Abstract

A multi-server queueing model with a Batch Markovian Arrival Process, phase-type service time distribution and impatient repeated customers is analyzed. After any unsuccessful attempt, the repeated customer leaves the system with the fixed probability. The behavior of the system is described in terms of continuous time multi-dimensional Markov chain. Stability condition and an algorithm for calculating the stationary state distribution of this Markov chain are obtained. Main performance measures of the system are calculated. Numerical results are presented.

Suggested Citation

  • Valentina I. Klimenok & Dmitry S. Orlovsky & Alexander N. Dudin, 2007. "Abmap/Ph/Nsystem With Impatient Repeated Calls," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 24(03), pages 293-312.
    • Handle: RePEc:wsi:apjorx:v:24:y:2007:i:03:n:s0217595907001310
    DOI: 10.1142/S0217595907001310
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    Cited by:

    1. Che Kim & Vilena Mushko & Alexander Dudin, 2012. "Computation of the steady state distribution for multi-server retrial queues with phase type service process," Annals of Operations Research, Springer, vol. 201(1), pages 307-323, December.

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