STABILITY OF RETRIAL QUEUЕING SYSTEM M/D/1 WITH LOSSES

Authors

  • O. V. Koba V. M. Glushkov Institute of Cybernetics

DOI:

https://doi.org/10.18372/1990-5548.47.10435

Keywords:

Call, retrial queueing system, stability, queueing system, waiting time

Abstract

A stability condition is derived for a retrial queueing system with a Poisson input withparameter  and constant service time. If the virtual waiting time is less than a constant a, thenthe call can be serviced; otherwise, it is repeated in exponentially distributed time or is lost with aprobability q. The notion of system stability is defined. Two theorems are proved, defined theconditions for stability of system

Author Biography

O. V. Koba, V. M. Glushkov Institute of Cybernetics

DSc (Phys. and Math.). Associate Professor. Leading researcher. Department of mathematical methods in reliability theory of complex systems

References

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MATHEMATICAL MODELING OF PROCESSES AND SYSTEMS