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Non-Markovian bulk queueing system with state dependent arrivals and multiple vacations - a simulation approach

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  • K.S. Ramaswami
  • S. Jeyakumar

Abstract

We considered a non-Markovian bulk arrival general bulk service queueing system with state dependent arrivals and multiple vacations in this paper. The arrivals occur in bulk with a rate λ, when the server is busy and with a rate λ0, when the server is on vacation. Using a supplementary variable technique and difference differential equations method we derive the queue size distribution, expected length of idle and busy periods and expected queue size of a Mx/G(a, b)/1 queueing system with state dependent arrivals and multiple vacations. We study the same through simulation using ARENA, a powerful manufacturing system simulation software and obtained some performance measures, which are mandatory for the study and analysis of the said queueing model. The simulated results for a few cases are presented.

Suggested Citation

  • K.S. Ramaswami & S. Jeyakumar, 2014. "Non-Markovian bulk queueing system with state dependent arrivals and multiple vacations - a simulation approach," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 6(3), pages 344-356.
    • Handle: RePEc:ids:ijmore:v:6:y:2014:i:3:p:344-356
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