Archive

Volume 1, Number 3 / October issue 2015
Manuel Alberto M. Ferreira
The M|G|∞ queue busy period length exponential behavior for particular service times distributions collection
Abstract

The aim of this work is to look for exponential behavior conditions for the M|G|∞ queue busy period length distribution, in the case at which a particular service time’s collection is considered.
Keywords: M|G ∞, busy period, exponential distribution, moments

Cite this article:
Manuel Alberto M. Ferreira. The M|G|∞ queue busy period length exponential behavior for particular service times distributions collection. Acta Scientiae et Intellectus, 1(3), 14-18.


REFERENCES

  1. L. Tackács. An Introduction to Queueing Theory. Oxford University Press. New York, 1962.
  2. J.A. Filipe, M.A.M. Ferreira. Infinite Servers Queue Systems Busy Period-A Practical Case in Logistics Problems Solving. Applied Mathematical Sciences, 9(2015), 25-28, 1221-1228.
  3. M.A.M. Ferreira. The Exponentiality of the queue busy period. XII Jornadas Luso-Espanholas de Gestão Científica-ACTAS (Volume VIII-Economia da Empresa e Matemática Aplicada), 267-272. Universidade da Beira Interior, Departamento de Gestão e Economia, Covilhã, Abril 2002.
  4. M.A.M. Ferreira, J.A. Filipe. Occupation Study of a Surgery Service through a Queues Model. Applied Mathematical Sciences, 9(2015), 93-96, 4791-4798.
  5. M.A.M. Ferreira, M. Andrade. The Ties between the Queue System Transient Behavior and the Busy Period. International Journal of Academic Research, 1 (2009), 1, 84-92.
  6. M.A.M. Ferreira, M. Andrade. Looking to a system occupation through a Riccati equation. Journal of Mathematics and Technology, 1(2010), 2, 58-62.
  7. M.A.M. Ferreira, M. Andrade. , System Transient Behavior with Time Origin at the Beginning of a Busy Period Mean and Variance. Aplimat- Journal of Applied Mathematics, 3(2010), 3, 213-221.
  8. M.A.M. Ferreira, M. Andrade. Queue Busy Period Tail. Journal of Mathematics and Technology, 1(2010), 3, 11-16.
  9. M.A.M. Ferreira, M. Andrade. Infinite Servers Queue Systems Busy Period Length Momemts. Journal of Mathematics and Technology, 3(2012), 2, 4-7.
  10. M.A.M. Ferreira, M. Andrade, J.A Filipe. The Riccati Equation in the System Busy Cycle Study. Journal of Mathematics, Statistics and Allied Fields, 2 (2008), 1.
  11. M.J. Carrillo. Extensions of Palm’s Theorem: A Review. Management Science, 37(1991), 6, 739-744.
  12. W. Stadje. The Busy Period of the Queueing System M|G|∞. Journal of Applied Probability, 22(1985), 697-704.