DOI QR코드

DOI QR Code

QUEUE LENGTH DISTRIBUTION IN A QUEUE WITH RELATIVE PRIORITIES

  • Kim, Jeong-Sim (DEPARTMENT OF MATHEMATICS EDUCATION CHUNGBUK NATIONAL UNIVERSITY)
  • Published : 2009.01.31

Abstract

We consider a single server multi-class queueing model with Poisson arrivals and relative priorities. For this queue, we derive a system of equations for the transform of the queue length distribution. Using this system of equations we find the moments of the queue length distribution as a solution of linear equations.

Keywords

References

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  2. Analysis of the M/G/1 queue with discriminatory random order service policy vol.68, pp.3, 2011, https://doi.org/10.1016/j.peva.2010.12.001
  3. Interpolation approximations for the steady-state distribution in multi-class resource-sharing systems vol.91, 2015, https://doi.org/10.1016/j.peva.2015.06.005
  4. M/M/c Retrial Queue with Multiclass of Customers vol.16, pp.4, 2014, https://doi.org/10.1007/s11009-013-9340-0