Sojourn time distributions in tandem batch-networks

  • Authors:
  • Peter Harrison

  • Affiliations:
  • Imperial College London, UK

  • Venue:
  • ACM SIGMETRICS Performance Evaluation Review
  • Year:
  • 2014

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Abstract

The joint probability distribution of a customer's sojourn times in passing through a tandem pair of geometric batch-queues is obtained as a Laplace-Stieltjes transform (LST). The results obtained relate to a customer that passes, within a full batch, between the queues rather than being discarded in a partial batch.