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A single-server Poisson queueing system with delayed-service

Author

Listed:
  • Aliakbar Montazer Haghighi
  • Dimitar P. Mishev
  • Stefanka S. Chukova

Abstract

In this paper, we investigate busy period and queue length (steady-state and transient) of a single-server Poisson queue with delayed-service, to set the tone for more complicated models that will appear later. We will analyse this model by considering M/G/1 as well as the use of differential difference equations approximating a non-Markovian system. We obtain the distribution of the length of a busy period, steady-state mean and distribution of the queue length, Laplace transform of the probability of the system being empty and Laplace transform of the generating function of the distribution of the transient queue length.

Suggested Citation

  • Aliakbar Montazer Haghighi & Dimitar P. Mishev & Stefanka S. Chukova, 2008. "A single-server Poisson queueing system with delayed-service," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 3(4), pages 363-383.
    • Handle: RePEc:ids:ijores:v:3:y:2008:i:4:p:363-383
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