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On the limiting probabilities of the M/Er/1 queueing system

Author

Listed:
  • Martínez V., José M.
  • Vallejos C., Reinaldo A.
  • Barría M., Marta

Abstract

In this paper, two new formulations of the steady-state probability distribution of the number of customers in an M/Er/1 queue system are presented. On one hand, a new recurrent method which is numerically stable and computationally more efficient than the existing ones, in terms of memory and time, is presented. On the other hand, a new analytic formula, simpler than the current ones, which additionally has associated a probabilistic interpretation of its terms, that gives a new insight about this queue and its behavior, is also presented.

Suggested Citation

  • Martínez V., José M. & Vallejos C., Reinaldo A. & Barría M., Marta, 2014. "On the limiting probabilities of the M/Er/1 queueing system," Statistics & Probability Letters, Elsevier, vol. 88(C), pages 56-61.
    • Handle: RePEc:eee:stapro:v:88:y:2014:i:c:p:56-61
    DOI: 10.1016/j.spl.2014.01.030
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